0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.31 % Computer : n026.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1440 0.10/0.31 % WCLimit : 180 0.10/0.31 % DateTime : Mon Jul 3 12:00:40 EDT 2023 0.10/0.31 % CPUTime : 43.34/42.22 ============================== Prover9 =============================== 43.34/42.22 Prover9 (32) version 2009-11A, November 2009. 43.34/42.22 Process 24139 was started by sandbox2 on n026.cluster.edu, 43.34/42.22 Mon Jul 3 12:01:17 2023 43.34/42.22 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_23685_n026.cluster.edu". 43.34/42.22 ============================== end of head =========================== 43.34/42.22 43.34/42.22 ============================== INPUT ================================= 43.34/42.22 43.34/42.22 % Reading from file /tmp/Prover9_23685_n026.cluster.edu 43.34/42.22 43.34/42.22 set(prolog_style_variables). 43.34/42.22 set(auto2). 43.34/42.22 % set(auto2) -> set(auto). 43.34/42.22 % set(auto) -> set(auto_inference). 43.34/42.22 % set(auto) -> set(auto_setup). 43.34/42.22 % set(auto_setup) -> set(predicate_elim). 43.34/42.22 % set(auto_setup) -> assign(eq_defs, unfold). 43.34/42.22 % set(auto) -> set(auto_limits). 43.34/42.22 % set(auto_limits) -> assign(max_weight, "100.000"). 43.34/42.22 % set(auto_limits) -> assign(sos_limit, 20000). 43.34/42.22 % set(auto) -> set(auto_denials). 43.34/42.22 % set(auto) -> set(auto_process). 43.34/42.22 % set(auto2) -> assign(new_constants, 1). 43.34/42.22 % set(auto2) -> assign(fold_denial_max, 3). 43.34/42.22 % set(auto2) -> assign(max_weight, "200.000"). 43.34/42.22 % set(auto2) -> assign(max_hours, 1). 43.34/42.22 % assign(max_hours, 1) -> assign(max_seconds, 3600). 43.34/42.22 % set(auto2) -> assign(max_seconds, 0). 43.34/42.22 % set(auto2) -> assign(max_minutes, 5). 43.34/42.22 % assign(max_minutes, 5) -> assign(max_seconds, 300). 43.34/42.22 % set(auto2) -> set(sort_initial_sos). 43.34/42.22 % set(auto2) -> assign(sos_limit, -1). 43.34/42.22 % set(auto2) -> assign(lrs_ticks, 3000). 43.34/42.22 % set(auto2) -> assign(max_megs, 400). 43.34/42.22 % set(auto2) -> assign(stats, some). 43.34/42.22 % set(auto2) -> clear(echo_input). 43.34/42.22 % set(auto2) -> set(quiet). 43.34/42.22 % set(auto2) -> clear(print_initial_clauses). 43.34/42.22 % set(auto2) -> clear(print_given). 43.34/42.22 assign(lrs_ticks,-1). 43.34/42.22 assign(sos_limit,10000). 43.34/42.22 assign(order,kbo). 43.34/42.22 set(lex_order_vars). 43.34/42.22 clear(print_given). 43.34/42.22 43.34/42.22 % formulas(sos). % not echoed (19417 formulas) 43.34/42.22 43.34/42.22 ============================== end of input ========================== 43.34/42.22 43.34/42.22 % From the command line: assign(max_seconds, 1440). 43.34/42.22 43.34/42.22 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 43.34/42.22 43.34/42.22 % Formulas that are not ordinary clauses: 43.34/42.22 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 2 (all A all B all C (p1_s1_tarski(A,B) & p1_s1_tarski(A,C) -> C = B)) -> (exists A all B (r2_hidden(B,A) <-> (exists C (p1_s1_tarski(C,B) & r2_hidden(C,f1_s1_tarski))))) # label(s1_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 3 $T # label(t3_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 4 (all A all B ((all C (r2_hidden(C,B) <-> r2_hidden(C,A))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 5 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 6 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 7 (all A all B ((all C ((exists D (r2_hidden(C,D) & r2_hidden(D,A))) <-> r2_hidden(C,B))) <-> k3_tarski(A) = B)) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 8 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 9 $T # label(t1_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 10 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 11 $T # label(t6_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 12 $T # label(t4_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 13 $T # label(t8_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 14 (all A all B k2_tarski(k2_tarski(A,B),k1_tarski(A)) = k4_tarski(A,B)) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 15 (all A all B (r2_tarski(A,B) <-> (exists C ((all D -(r2_hidden(D,B) & (all E -(r2_hidden(E,A) & r2_hidden(k4_tarski(E,D),C))))) & (all D all E all F all G (r2_hidden(k4_tarski(D,E),C) & r2_hidden(k4_tarski(F,G),C) -> (F = D <-> G = E))) & (all D -(r2_hidden(D,A) & (all E -(r2_hidden(E,B) & r2_hidden(k4_tarski(D,E),C))))))))) # label(d6_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 16 (all A all B all C ((all D (r2_hidden(D,C) <-> D = A | D = B)) <-> k2_tarski(A,B) = C)) # label(d2_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 17 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 18 (all A all B ((all C (r2_hidden(C,A) -> r2_hidden(C,B))) <-> r1_tarski(A,B))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 19 (all A all B (k1_tarski(A) = B <-> (all C (r2_hidden(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 20 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 21 (all A exists B (r2_hidden(A,B) & (all C -(r2_hidden(C,B) & (all D -((all E (r1_tarski(E,C) -> r2_hidden(E,D))) & r2_hidden(D,B))))) & (all C -(r1_tarski(C,B) & -r2_tarski(C,B) & -r2_hidden(C,B))) & (all C all D (r1_tarski(D,C) & r2_hidden(C,B) -> r2_hidden(D,B))))) # label(t9_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 22 $T # label(t5_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 23 (all A all B -(r2_hidden(A,B) & (all C -((all D -(r2_hidden(D,B) & r2_hidden(D,C))) & r2_hidden(C,B))))) # label(t7_tarski) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 24 (all A all B all C ((all D (-r2_hidden(D,A) <-> (r2_hidden(D,C) <-> r2_hidden(D,B)))) -> A = k5_xboole_0(B,C))) # label(t2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 25 (all A all B all C -(r1_xboole_0(A,B) & -(-r2_hidden(C,A) & r2_hidden(C,B)) & -(-r2_hidden(C,B) & r2_hidden(C,A)) & r2_hidden(C,k2_xboole_0(A,B)))) # label(t5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 26 (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]. 43.34/42.22 27 (all A all B (A = B <-> r1_tarski(A,B) & r1_tarski(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 28 (all A all B all C (C = k2_xboole_0(A,B) <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,B) | r2_hidden(D,A))))) # label(d2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 29 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 30 $T # label(dt_k5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 31 (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]. 43.34/42.22 32 (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]. 43.34/42.22 33 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 34 (all A all B k3_xboole_0(B,A) = k3_xboole_0(A,B)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 35 (all A all B k5_xboole_0(A,B) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A))) # label(d6_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 36 (all A all B k3_xboole_0(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 37 (all A all B (-(r1_xboole_0(A,B) & (exists C r2_hidden(C,k3_xboole_0(A,B)))) & -(-r1_xboole_0(A,B) & (all C -r2_hidden(C,k3_xboole_0(A,B)))))) # label(t4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 38 (all A (A = k1_xboole_0 <-> v1_xboole_0(A))) # label(d5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 39 (all A all B -r2_xboole_0(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 40 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 41 (all A all B all C (k4_xboole_0(A,B) = C <-> (all D (-r2_hidden(D,B) & r2_hidden(D,A) <-> r2_hidden(D,C))))) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 42 (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]. 43.34/42.22 43 (all A all B (B != A & r1_tarski(A,B) <-> r2_xboole_0(A,B))) # label(d8_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 44 (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]. 43.34/42.22 45 (all A all B (-(-r1_xboole_0(A,B) & (all C -(r2_hidden(C,A) & r2_hidden(C,B)))) & -(r1_xboole_0(A,B) & (exists C (r2_hidden(C,A) & r2_hidden(C,B)))))) # label(t3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 46 (all A all B k2_xboole_0(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 47 (all A all B (k1_xboole_0 = k3_xboole_0(A,B) <-> r1_xboole_0(A,B))) # label(d7_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 48 (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]. 43.34/42.22 49 (all A all B r3_xboole_0(A,A)) # label(reflexivity_r3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 50 (all A (p1_s2_xboole_0(A) <-> r2_hidden(A,f2_s2_xboole_0))) & (all A (p1_s2_xboole_0(A) <-> r2_hidden(A,f1_s2_xboole_0))) -> f1_s2_xboole_0 = f2_s2_xboole_0 # label(s2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 51 (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]. 43.34/42.22 52 (exists A all B (r2_hidden(B,A) <-> r2_hidden(B,f1_s1_xboole_0) & p1_s1_xboole_0(B))) # label(s1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 53 (all A all B all C (k3_xboole_0(A,B) = C <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,B) & r2_hidden(D,A))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 54 (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]. 43.34/42.22 55 (all A all B ((all C (p1_s3_xboole_0(C) <-> r2_hidden(C,A))) & (all C (r2_hidden(C,B) <-> p1_s3_xboole_0(C))) -> A = B)) # label(s3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 56 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 57 (all A all B all C (r2_hidden(A,k5_xboole_0(B,C)) <-> -(r2_hidden(A,C) <-> r2_hidden(A,B)))) # label(t1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 58 (all A (A = k1_xboole_0 <-> (all B -r2_hidden(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 59 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 60 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 61 (all A all B -(v1_xboole_0(B) & r2_hidden(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 62 (all A k1_xboole_0 = k3_xboole_0(A,k1_xboole_0)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 63 (all A k4_xboole_0(k1_xboole_0,A) = k1_xboole_0) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 64 (all A A = k2_xboole_0(A,k1_xboole_0)) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 65 (all A all B -(v1_xboole_0(B) & A != B & v1_xboole_0(A))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 66 (all A k5_xboole_0(A,k1_xboole_0) = A) # label(t5_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 67 (all A A = k4_xboole_0(A,k1_xboole_0)) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 68 (all A (v1_xboole_0(A) -> k1_xboole_0 = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 69 (all A all B all C (r1_xboole_0(A,B) & r1_xboole_0(C,B) & k2_xboole_0(C,B) = k2_xboole_0(A,B) -> A = C)) # label(t71_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 70 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,D)))) # label(t27_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 71 (all A all B (r1_tarski(A,B) -> A = k3_xboole_0(A,B))) # label(t28_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 72 (all A all B all C -(-r1_xboole_0(A,B) & r1_xboole_0(A,C) & r1_xboole_0(A,k4_xboole_0(B,C)))) # label(t84_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 73 (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]. 43.34/42.22 74 (all A all B (r1_xboole_0(A,B) <-> A = k4_xboole_0(A,B))) # label(t83_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 75 (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]. 43.34/42.22 76 (all A all B (k2_xboole_0(A,B) = k1_xboole_0 -> A = k1_xboole_0)) # label(t15_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 77 (all A r1_xboole_0(A,k1_xboole_0)) # label(t65_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 78 (all A all B (r1_xboole_0(A,B) -> k4_xboole_0(k2_xboole_0(A,B),B) = A)) # label(t88_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 79 (all A -r2_xboole_0(A,k1_xboole_0)) # label(t62_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 80 (all A all B -(r2_xboole_0(B,A) & r2_xboole_0(A,B))) # label(t57_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 81 (all A all B all C (r1_tarski(A,B) & r1_tarski(C,B) -> r1_tarski(k5_xboole_0(A,C),B))) # label(t110_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 82 (all A all B k3_xboole_0(A,k2_xboole_0(A,B)) = A) # label(t21_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 83 (all A all B k5_xboole_0(k5_xboole_0(A,B),k2_xboole_0(A,B)) = k3_xboole_0(A,B)) # label(t95_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 84 (all A all B all C k5_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k5_xboole_0(A,C),B)) # label(t112_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 85 (all A all B k2_xboole_0(A,k3_xboole_0(A,B)) = A) # label(t22_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 86 (all A all B all C (r1_xboole_0(A,k3_xboole_0(B,C)) & r1_tarski(A,k2_xboole_0(B,C)) <-> r1_tarski(A,k5_xboole_0(B,C)))) # label(t107_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 87 (all A all B all C all D (k2_xboole_0(C,D) = k2_xboole_0(A,B) & r1_xboole_0(D,B) & r1_xboole_0(C,A) -> B = C)) # label(t72_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 88 (all A all B all C (r1_tarski(A,B) & (all D (r1_tarski(A,D) & r1_tarski(C,D) -> r1_tarski(B,D))) & r1_tarski(C,B) -> k2_xboole_0(A,C) = B)) # label(t14_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 89 (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]. 43.34/42.22 90 (all A all B (-(-r2_xboole_0(A,B) & -r2_xboole_0(B,A) & A != B) <-> r3_xboole_0(A,B))) # label(t104_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 91 (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]. 43.34/42.22 92 (all A all B all C k4_xboole_0(A,k2_xboole_0(B,C)) = k4_xboole_0(k4_xboole_0(A,B),C)) # label(t41_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 93 (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]. 43.34/42.22 94 (all A all B all C k3_xboole_0(k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(B,C)),k2_xboole_0(C,A)) = k2_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(B,C)),k3_xboole_0(C,A))) # label(t25_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 95 (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]. 43.34/42.22 96 (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]. 43.34/42.22 97 (all A k1_xboole_0 = k5_xboole_0(A,A)) # label(t92_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 98 (all A all B (r1_tarski(A,k4_xboole_0(B,A)) -> A = k1_xboole_0)) # label(t38_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 99 (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]. 43.34/42.22 100 (all A (-(k1_xboole_0 = A & -r1_xboole_0(A,A)) & -(k1_xboole_0 != A & r1_xboole_0(A,A)))) # label(t66_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 101 (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]. 43.34/42.22 102 (all A all B all C k3_xboole_0(k4_xboole_0(A,C),B) = k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B))) # label(t111_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 103 (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]. 43.34/42.22 104 (all A all B all C all D k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D)) # label(t113_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 105 (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]. 43.34/42.22 106 (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]. 43.34/42.22 107 (all A all B k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k5_xboole_0(A,B)) # label(t101_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 108 (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]. 43.34/42.22 109 (all A r1_tarski(k1_xboole_0,A)) # label(t2_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 110 (all A all B k5_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(A,B)) # label(t94_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 111 (all A all B -(r1_xboole_0(k3_xboole_0(A,B),B) & -r1_xboole_0(A,B))) # label(t75_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 112 (all A all B all C k2_xboole_0(A,k2_xboole_0(B,C)) = k2_xboole_0(k2_xboole_0(A,B),C)) # label(t4_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 113 (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]. 43.34/42.22 114 (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]. 43.34/42.22 115 (all A all B k2_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B)) = A) # label(t51_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 116 (all A all B r1_tarski(k4_xboole_0(A,B),A)) # label(t36_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 117 (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]. 43.34/42.22 118 (all A all B all C ((all D (r1_tarski(D,C) & r1_tarski(D,B) -> r1_tarski(D,A))) & r1_tarski(A,C) & r1_tarski(A,B) -> A = k3_xboole_0(B,C))) # label(t20_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 119 (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]. 43.34/42.22 120 (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,k2_xboole_0(B,C)) & r1_xboole_0(A,C) & r1_xboole_0(A,B)))) # label(t70_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 121 (all A all B all C k2_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C))) # label(t24_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 122 (all A all B all C (r1_tarski(A,C) & r1_tarski(A,B) -> r1_tarski(A,k3_xboole_0(B,C)))) # label(t19_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 123 (all A all B k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A))) # label(t55_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 124 (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]. 43.34/42.22 125 (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]. 43.34/42.22 126 (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]. 43.34/42.22 127 (all A all B all C k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)) = k4_xboole_0(A,k3_xboole_0(B,C))) # label(t54_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 128 (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]. 43.34/42.22 129 (all A all B all C all D (r1_xboole_0(A,D) & r1_xboole_0(B,D) & r1_xboole_0(C,D) -> r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D))) # label(t114_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 130 (all A all B all C (r1_tarski(B,C) & r2_xboole_0(A,B) -> r2_xboole_0(A,C))) # label(t58_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 131 (all A all B all C -(-r1_xboole_0(A,k3_xboole_0(B,C)) & r1_xboole_0(A,B))) # label(t74_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 132 (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]. 43.34/42.22 133 (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]. 43.34/42.22 134 (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]. 43.34/42.22 135 (all A all B all C -(-r1_xboole_0(A,B) & r1_xboole_0(A,k3_xboole_0(B,C)) & r1_tarski(A,C))) # label(t77_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 136 (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]. 43.34/42.22 137 (all A all B k2_xboole_0(A,k2_xboole_0(A,B)) = k2_xboole_0(A,B)) # label(t6_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 138 (all A (k1_xboole_0 != A -> r2_xboole_0(k1_xboole_0,A))) # label(t61_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 139 (all A all B all C k3_xboole_0(A,k3_xboole_0(B,C)) = k3_xboole_0(k3_xboole_0(A,B),C)) # label(t16_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 140 (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]. 43.34/42.22 141 (all A all B k4_xboole_0(A,B) = k4_xboole_0(A,k3_xboole_0(A,B))) # label(t47_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 142 (all A all B all C k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)) = k3_xboole_0(A,k2_xboole_0(B,C))) # label(t23_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 143 (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]. 43.34/42.22 144 (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]. 43.34/42.22 145 (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]. 43.34/42.22 146 (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]. 43.34/42.22 147 (all A all B all C (r1_xboole_0(A,C) & r1_tarski(A,B) -> r1_tarski(A,k4_xboole_0(B,C)))) # label(t86_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 148 (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]. 43.34/42.22 149 (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]. 43.34/42.22 150 (all A all B all C k4_xboole_0(k5_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k4_xboole_0(B,k2_xboole_0(A,C)))) # label(t99_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 151 (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]. 43.34/42.22 152 (all A all B (r1_tarski(A,B) -> B = k2_xboole_0(A,B))) # label(t12_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 153 (all A all B r1_tarski(A,k2_xboole_0(A,B))) # label(t7_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 154 (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]. 43.34/42.22 155 (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]. 43.34/42.22 156 (all A all B all C (r1_tarski(A,C) & r1_xboole_0(B,C) & r1_tarski(A,B) -> k1_xboole_0 = A)) # label(t67_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 157 (all A all B (r1_tarski(A,B) <-> k1_xboole_0 = k4_xboole_0(A,B))) # label(t37_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 158 (all A all B all C (-v1_xboole_0(C) -> -(r1_xboole_0(A,B) & r1_tarski(C,B) & r1_tarski(C,A)))) # label(t68_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 159 (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]. 43.34/42.22 160 (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]. 43.34/42.22 161 (all A all B r1_xboole_0(k4_xboole_0(A,B),B)) # label(t79_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 162 (all A all B all C k4_xboole_0(A,k5_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C))) # label(t102_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 163 (all A all B all C k3_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)) = k4_xboole_0(A,k2_xboole_0(B,C))) # label(t53_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 164 (all A all B all C (r1_xboole_0(A,B) -> k2_xboole_0(k4_xboole_0(C,A),B) = k4_xboole_0(k2_xboole_0(C,B),A))) # label(t87_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 165 (all A all B all C (r1_tarski(A,B) -> k2_xboole_0(A,k3_xboole_0(C,B)) = k3_xboole_0(k2_xboole_0(A,C),B))) # label(t30_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 166 (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]. 43.34/42.22 167 (all A (r1_tarski(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t3_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 168 (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]. 43.34/42.22 169 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 170 (all A all B all C k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k2_xboole_0(A,C),k2_xboole_0(B,C))) # label(t5_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 171 (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]. 43.34/42.22 172 (all A all B all C (r1_tarski(C,B) & r1_tarski(A,B) -> r1_tarski(k2_xboole_0(A,C),B))) # label(t8_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 173 (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]. 43.34/42.22 174 (all A all B -(r2_xboole_0(B,A) & r1_tarski(A,B))) # label(t60_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.22 175 (all A all B all C all D (r1_tarski(C,D) & r1_xboole_0(B,D) & r1_tarski(A,B) -> r1_xboole_0(A,C))) # label(t64_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 176 (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]. 43.34/42.23 177 (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]. 43.34/42.23 178 (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]. 43.34/42.23 179 (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]. 43.34/42.23 180 (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]. 43.34/42.23 181 (all A all B -(k4_xboole_0(B,A) = k1_xboole_0 & r2_xboole_0(A,B))) # label(t105_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 182 (all A all B all C (r1_tarski(k4_xboole_0(A,B),C) & r1_tarski(k4_xboole_0(B,A),C) -> r1_tarski(k5_xboole_0(A,B),C))) # label(t97_xboole_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 183 (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]. 43.34/42.23 184 $T # label(t9_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 185 (all A all B all C k2_enumset1(A,A,B,C) = k1_enumset1(A,B,C)) # label(t71_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 186 (all A all B all C all D all E all F k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)) = k4_enumset1(A,B,C,D,E,F)) # label(t55_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 187 (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]. 43.34/42.23 188 $T # label(t26_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 189 $T # label(t6_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 190 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k4_enumset1(A,A,B,C,D,E)) # label(t73_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 191 $T # label(t8_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 192 (all A all B k2_tarski(A,B) = k1_enumset1(A,A,B)) # label(t70_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 193 $T # label(t114_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 194 $T # label(t97_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 195 (all A all B all C k3_enumset1(A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t78_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 196 (all A all B all C k1_enumset1(A,B,C) = k5_enumset1(A,A,A,A,A,B,C)) # label(t89_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 197 (all A all B all C all D k2_enumset1(B,C,A,D) = k2_enumset1(A,B,C,D)) # label(t110_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 198 $T # label(t24_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 199 (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]. 43.34/42.23 200 (all A all B all C all D all E all F all G k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k1_tarski(G)) = k5_enumset1(A,B,C,D,E,F,G)) # label(t61_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 201 (all A all B all C all D k2_enumset1(A,C,B,D) = k2_enumset1(A,B,C,D)) # label(t104_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 202 $T # label(t27_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 203 (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]. 43.34/42.23 204 (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]. 43.34/42.23 205 (all A all B all C all D all E all F k5_enumset1(A,A,B,C,D,E,F) = k4_enumset1(A,B,C,D,E,F)) # label(t74_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 206 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F))) # label(t52_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 207 $T # label(t20_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 208 $T # label(dt_k4_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 209 (all A k1_tarski(A) = k5_enumset1(A,A,A,A,A,A,A)) # label(t94_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 210 (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]. 43.34/42.23 211 (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]. 43.34/42.23 212 $T # label(t29_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 213 (all A all B all C all D k2_enumset1(A,B,C,D) = k4_enumset1(A,A,A,B,C,D)) # label(t79_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 214 (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]. 43.34/42.23 215 $T # label(dt_k3_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 216 $T # label(t34_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 217 (all A all B all C all D all E ((all F (r2_hidden(F,E) <-> -(C != F & F != D & B != F & A != F))) <-> E = k2_enumset1(A,B,C,D))) # label(d2_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 218 $T # label(t115_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 219 (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]. 43.34/42.23 220 (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]. 43.34/42.23 221 $T # label(t31_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 222 (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]. 43.34/42.23 223 $T # label(t23_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 224 (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]. 43.34/42.23 225 (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_tarski(A),k4_enumset1(B,C,D,E,F,G))) # label(t56_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 226 $T # label(t122_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 227 (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]. 43.34/42.23 228 (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]. 43.34/42.23 229 (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]. 43.34/42.23 230 (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]. 43.34/42.23 231 (all A k1_tarski(A) = k2_tarski(A,A)) # label(t69_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 232 $T # label(dt_k2_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 233 $T # label(t22_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 234 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H))) # label(t64_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 235 (all A all B all C all D k2_enumset1(B,A,D,C) = k2_enumset1(A,B,C,D)) # label(t109_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 236 (all A k1_tarski(A) = k3_enumset1(A,A,A,A,A)) # label(t87_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 237 (all A all B all C all D all E all F all G all H (k5_enumset1(A,B,C,D,E,F,G) = H <-> (all I (-(I != C & I != D & I != E & F != I & G != I & I != B & A != I) <-> r2_hidden(I,H))))) # label(d5_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 238 (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]. 43.34/42.23 239 $T # label(t7_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 240 (all A all B k2_tarski(A,B) = k3_enumset1(A,A,A,A,B)) # label(t83_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 241 $T # label(t25_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 242 (all A all B all C all D all E k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)) = k3_enumset1(A,B,C,D,E)) # label(t50_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 243 (all A all B all C all D all E all F all G k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)) = k5_enumset1(A,B,C,D,E,F,G)) # label(t59_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 244 $T # label(t18_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 245 $T # label(t15_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 246 $T # label(t106_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 247 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(C,D,B,A)) # label(t119_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 248 $T # label(t28_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 249 $T # label(t3_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 250 (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]. 43.34/42.23 251 $T # label(t40_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 252 $T # label(t13_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 253 (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]. 43.34/42.23 254 $T # label(t36_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 255 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F))) # label(t51_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 256 (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]. 43.34/42.23 257 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(C,B,D,A)) # label(t117_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 258 (all A all B all C all D k5_enumset1(A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t85_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 259 $T # label(t120_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 260 $T # label(dt_k6_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 261 $T # label(t124_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 262 (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]. 43.34/42.23 263 (all A k1_enumset1(A,A,A) = k1_tarski(A)) # label(t76_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 264 $T # label(t12_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 265 (all A all B all C all D all E all F all G all H all I ((all J (r2_hidden(J,I) <-> -(B != J & C != J & J != D & J != F & H != J & J != G & E != J & J != A))) <-> I = k6_enumset1(A,B,C,D,E,F,G,H))) # label(d6_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 266 (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(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G))) # label(t58_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 267 (all A all B all C all D all E k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)) = k3_enumset1(A,B,C,D,E)) # label(t47_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 268 $T # label(t121_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 269 $T # label(t4_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 270 (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]. 43.34/42.23 271 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 272 (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]. 43.34/42.23 273 (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]. 43.34/42.23 274 (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]. 43.34/42.23 275 $T # label(t101_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 276 $T # label(t1_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 277 (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]. 43.34/42.23 278 (all A all B all C k1_enumset1(B,A,C) = k1_enumset1(A,B,C)) # label(t99_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 279 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(A,D,C,B)) # label(t107_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 280 (all A all B all C all D all E all F all G all H k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_enumset1(F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t66_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 281 $T # label(t19_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 282 $T # label(dt_k5_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 283 $T # label(t14_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 284 (all A all B k6_enumset1(A,A,A,A,A,A,A,B) = k2_tarski(A,B)) # label(t95_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 285 (all A all B all C all D k2_enumset1(B,C,D,A) = k2_enumset1(A,B,C,D)) # label(t111_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 286 $T # label(t5_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 287 (all A all B all C all D ((all E (-(C != E & B != E & E != A) <-> r2_hidden(E,D))) <-> D = k1_enumset1(A,B,C))) # label(d1_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 288 $T # label(t39_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 289 (all A all B all C all D all E all F all G ((all H (-(H != A & C != H & D != H & E != H & H != F & B != H) <-> r2_hidden(H,G))) <-> k4_enumset1(A,B,C,D,E,F) = G)) # label(d4_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 290 $T # label(t11_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 291 (all A all B all C all D k2_enumset1(A,C,D,B) = k2_enumset1(A,B,C,D)) # label(t105_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 292 (all A all B k5_enumset1(A,A,A,A,A,A,B) = k2_tarski(A,B)) # label(t92_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 293 $T # label(t2_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 294 $T # label(t21_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 295 $T # label(t32_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 296 $T # label(t38_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 297 $T # label(t30_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 298 (all A all B k2_enumset1(A,A,A,B) = k2_tarski(A,B)) # label(t77_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 299 (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(k3_enumset1(A,B,C,D,E),k2_tarski(F,G))) # label(t60_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 300 (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]. 43.34/42.23 301 (all A k1_tarski(A) = k4_enumset1(A,A,A,A,A,A)) # label(t91_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 302 $T # label(t35_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 303 (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]. 43.34/42.23 304 (all A all B all C all D all E all F all G all H k2_xboole_0(k5_enumset1(A,B,C,D,E,F,G),k1_tarski(H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t68_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 305 (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]. 43.34/42.23 306 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D))) # label(t44_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 307 $T # label(t37_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 308 (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]. 43.34/42.23 309 (all A all B all C all D k2_enumset1(B,D,C,A) = k2_enumset1(A,B,C,D)) # label(t113_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 310 (all A all B all C all D all E all F (k3_enumset1(A,B,C,D,E) = F <-> (all G (r2_hidden(G,F) <-> -(A != G & G != B & G != D & E != G & G != C))))) # label(d3_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 311 (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]. 43.34/42.23 312 $T # label(t33_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 313 (all A all B all C all D k3_enumset1(A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t72_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 314 $T # label(t16_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 315 $T # label(t17_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 316 (all A k2_enumset1(A,A,A,A) = k1_tarski(A)) # label(t82_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 317 (all A k1_tarski(A) = k6_enumset1(A,A,A,A,A,A,A,A)) # label(t96_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 318 $T # label(t10_enumset1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 319 (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]. 43.34/42.23 320 (all A all B (A != B -> r1_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t17_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 321 (all A all B (k2_zfmisc_1(B,A) = k2_zfmisc_1(A,B) -> B = k1_xboole_0 | A = B | A = k1_xboole_0)) # label(t114_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 322 (all A all B all C all D -(r1_tarski(A,k2_zfmisc_1(B,C)) & (all E all F -(r2_hidden(F,C) & D = k4_tarski(E,F) & r2_hidden(E,B))) & r2_hidden(D,A))) # label(t103_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 323 (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]. 43.34/42.23 324 $T # label(t15_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 325 (all A all B (A = k4_xboole_0(A,k1_tarski(B)) <-> -r2_hidden(B,A))) # label(t65_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 326 (all A all B all C (k1_tarski(A) = k2_tarski(B,C) -> C = B)) # label(t9_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 327 $T # label(t77_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 328 (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]. 43.34/42.23 329 (all A all B (k1_tarski(B) = k3_xboole_0(A,k1_tarski(B)) -> r2_hidden(B,A))) # label(t51_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 330 (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]. 43.34/42.23 331 (all A all B all C k3_zfmisc_1(A,B,C) = k2_zfmisc_1(k2_zfmisc_1(A,B),C)) # label(d3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 332 (all A all B all C all D (k2_zfmisc_1(A,B) = k2_zfmisc_1(C,D) -> k1_xboole_0 = B | B = D & C = A | k1_xboole_0 = A)) # label(t134_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 333 (all A all B k3_tarski(k2_tarski(k1_tarski(A),k1_tarski(B))) = k2_tarski(A,B)) # label(t32_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 334 (all A all B (-r2_hidden(A,B) -> B = k4_xboole_0(k2_xboole_0(B,k1_tarski(A)),k1_tarski(A)))) # label(t141_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 335 (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]. 43.34/42.23 336 (all A all B all C -(k1_tarski(A) = k2_xboole_0(B,C) & -(C = k1_tarski(A) & k1_tarski(A) = B) & -(B = k1_tarski(A) & k1_xboole_0 = C) & -(B = k1_xboole_0 & C = k1_tarski(A)))) # label(t43_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 337 (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]. 43.34/42.23 338 $T # label(t85_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 339 (all A all B -(r1_xboole_0(k1_tarski(A),k1_tarski(B)) & B = A)) # label(t16_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 340 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t119_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 341 (all A all B ((all C all D (r2_hidden(D,k2_xboole_0(A,B)) & r2_hidden(C,k2_xboole_0(A,B)) -> r1_xboole_0(C,D) | D = C)) -> k3_tarski(k3_xboole_0(A,B)) = k3_xboole_0(k3_tarski(A),k3_tarski(B)))) # label(t101_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 342 (all A all B (A != B <-> k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A))) # label(t20_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 343 (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]. 43.34/42.23 344 (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]. 43.34/42.23 345 (all A all B all C (r1_tarski(k2_tarski(A,B),k1_tarski(C)) -> C = A)) # label(t26_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 346 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) & r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)))) # label(t118_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 347 (all A all B all C (k2_tarski(A,B) = k4_xboole_0(k2_tarski(A,B),C) <-> -r2_hidden(B,C) & -r2_hidden(A,C))) # label(t72_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 348 (all A exists B (r2_hidden(A,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))) & (all C all D (r1_tarski(D,C) & r2_hidden(C,B) -> r2_hidden(D,B))))) # label(t136_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 349 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 350 (all A all B (k1_tarski(A) = k4_xboole_0(k1_tarski(A),B) | k4_xboole_0(k1_tarski(A),B) = k1_xboole_0)) # label(t69_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 351 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D)) <-> C = A & r2_hidden(B,D))) # label(t128_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 352 $T # label(t78_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 353 (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]. 43.34/42.23 354 (all A all B (k4_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_xboole_0 -> B = A)) # label(t21_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 355 (all A all B -v1_xboole_0(k4_tarski(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 356 (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]. 43.34/42.23 357 (all A all B all C (k2_zfmisc_1(k2_tarski(A,B),k1_tarski(C)) = k2_tarski(k4_tarski(A,C),k4_tarski(B,C)) & k2_tarski(k4_tarski(A,B),k4_tarski(A,C)) = k2_zfmisc_1(k1_tarski(A),k2_tarski(B,C)))) # label(t36_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 358 (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]. 43.34/42.23 359 (all A all B (A != k1_xboole_0 -> k1_xboole_0 != k2_zfmisc_1(A,k1_tarski(B)) & k1_xboole_0 != k2_zfmisc_1(k1_tarski(B),A))) # label(t130_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 360 (all A all B all C all D (r2_hidden(A,C) & B = D <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D))))) # label(t129_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 361 (all A all B (k2_zfmisc_1(A,A) = k2_zfmisc_1(B,B) -> B = A)) # label(t115_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 362 $T # label(t4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 363 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) | r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C)) -> r1_tarski(B,D))))) # label(t139_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 364 (all A (r1_tarski(A,k2_zfmisc_1(A,A)) -> k1_xboole_0 = A)) # label(t116_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 365 (all A all B all C (k1_tarski(A) = k2_tarski(B,C) -> B = A)) # label(t8_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 366 (all A all B all C (r2_hidden(B,C) & r2_hidden(A,C) <-> k4_xboole_0(k2_tarski(A,B),C) = k1_xboole_0)) # label(t73_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 367 $T # label(t7_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 368 (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]. 43.34/42.23 369 (all A all B (B != A -> k2_tarski(A,B) = k5_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t29_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 370 (all A k3_tarski(k1_tarski(A)) = A) # label(t31_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 371 $T # label(t76_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 372 (all A all B r1_tarski(k1_tarski(A),k2_tarski(A,B))) # label(t12_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 373 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> k2_zfmisc_1(A,C) = k3_xboole_0(k2_zfmisc_1(A,D),k2_zfmisc_1(B,C)))) # label(t124_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 374 (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]. 43.34/42.23 375 (all A all B (k1_tarski(A) = k4_xboole_0(k1_tarski(A),B) <-> -r2_hidden(A,B))) # label(t67_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 376 (all A all B all C all D (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) -> k1_xboole_0 = k2_zfmisc_1(A,B) | r1_tarski(A,C) & r1_tarski(B,D))) # label(t138_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 377 (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]. 43.34/42.23 378 $T # label(t89_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 379 (all A all B all C all D (k4_tarski(A,B) = k4_tarski(C,D) -> D = B & A = C)) # label(t33_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 380 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> B = A)) # label(t6_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 381 $T # label(t11_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 382 $T # label(t62_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 383 (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]. 43.34/42.23 384 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t24_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 385 (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]. 43.34/42.23 386 (all A all B all C (k3_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B) -> r2_hidden(A,C))) # label(t63_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 387 $T # label(t3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 388 (all A all B (r1_tarski(A,k1_tarski(B)) <-> A = k1_xboole_0 | k1_tarski(B) = A)) # label(t39_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 389 (all A all B all C -(k2_xboole_0(B,C) = k1_tarski(A) & C != B & k1_xboole_0 != B & k1_xboole_0 != C)) # label(t44_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 390 (all A all B -(k1_tarski(B) != A & A != k1_xboole_0 & (all C -(r2_hidden(C,A) & B != C)))) # label(t41_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 391 (all A all B all C all D (B = D & C = A <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),k1_tarski(D))))) # label(t34_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 392 (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]. 43.34/42.23 393 (all A all B all C (k1_tarski(A) = k4_xboole_0(k2_tarski(A,B),C) <-> (B = A | r2_hidden(B,C)) & -r2_hidden(A,C))) # label(t70_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 394 (all A all B all C (r2_hidden(A,B) -> r2_hidden(C,B) & A != C | k3_xboole_0(k2_tarski(A,C),B) = k1_tarski(A))) # label(t60_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 395 (all A r1_tarski(k1_tarski(A),k1_zfmisc_1(A))) # label(t80_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 396 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D)) <-> r2_hidden(A,C) & r2_hidden(B,D))) # label(t106_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 397 (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]. 43.34/42.23 398 (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]. 43.34/42.23 399 (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]. 43.34/42.23 400 (all A all B (r2_hidden(A,B) -> k3_xboole_0(B,k1_tarski(A)) = k1_tarski(A))) # label(t52_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 401 $T # label(t5_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 402 (all A all B all C (r2_hidden(A,B) & A != C <-> r2_hidden(A,k4_xboole_0(B,k1_tarski(C))))) # label(t64_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 403 (all A all B all C all D -(k2_tarski(C,D) = k2_tarski(A,B) & D != A & A != C)) # label(t10_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 404 (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 -(k4_tarski(F,G) = A & r2_hidden(G,k3_xboole_0(C,E)) & r2_hidden(F,k3_xboole_0(B,D)))))) # label(t104_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 405 (all A all B all C k2_xboole_0(k2_tarski(A,B),C) != k1_xboole_0) # label(t50_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 406 (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),B) <-> r2_hidden(k4_tarski(C,D),A))) & (all C -(r2_hidden(C,B) & (all D all E k4_tarski(D,E) != C))) -> A = B)) # label(t112_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 407 (all A all B (r2_hidden(A,B) -> r1_tarski(A,k3_tarski(B)))) # label(t92_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 408 (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]. 43.34/42.23 409 $T # label(t71_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 410 (all A all B all C (r1_tarski(k2_tarski(A,B),k1_tarski(C)) -> k2_tarski(A,B) = k1_tarski(C))) # label(t27_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 411 (all A all B all C (-(k1_tarski(B) != A & k2_tarski(B,C) != A & k1_tarski(C) != A & k1_xboole_0 != A) <-> r1_tarski(A,k2_tarski(B,C)))) # label(t42_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 412 $T # label(t91_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 413 (all A all B all C ((all D (r2_hidden(D,C) <-> (exists E exists F (k4_tarski(E,F) = D & r2_hidden(F,B) & r2_hidden(E,A))))) <-> C = k2_zfmisc_1(A,B))) # label(d2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 414 (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]. 43.34/42.23 415 (all A all B -(A != k1_xboole_0 & A != k1_tarski(B) & k1_xboole_0 = k4_xboole_0(A,k1_tarski(B)))) # label(t66_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 416 (all A all B all C -((all D all E A != k4_tarski(D,E)) & r2_hidden(A,k2_zfmisc_1(B,C)))) # label(t102_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 417 (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)) -> A = D)) # label(t110_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 418 (all A all B all C all D k2_zfmisc_1(k3_zfmisc_1(A,B,C),D) = k4_zfmisc_1(A,B,C,D)) # label(d4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 419 (all A all B ((all C (r1_tarski(C,A) <-> r2_hidden(C,B))) <-> k1_zfmisc_1(A) = B)) # label(d1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 420 (all A all B all C (k2_zfmisc_1(k4_xboole_0(A,B),C) = k4_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & k2_zfmisc_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)))) # label(t125_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 421 (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]. 43.34/42.23 422 $T # label(t88_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 423 (all A all B (r2_hidden(A,B) <-> r1_tarski(k1_tarski(A),B))) # label(t37_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 424 (all A all B k3_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) = k1_zfmisc_1(k3_xboole_0(A,B))) # label(t83_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 425 (all A all B (k1_xboole_0 = B | A = k1_xboole_0 <-> k2_zfmisc_1(A,B) = k1_xboole_0)) # label(t113_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 426 (all A all B all C (r2_hidden(A,B) & r2_hidden(C,B) -> k2_xboole_0(k2_tarski(A,C),B) = B)) # label(t48_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 427 (all A r1_tarski(A,k1_zfmisc_1(k3_tarski(A)))) # label(t100_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 428 (all A all B all C -(r1_tarski(k1_tarski(A),k2_tarski(B,C)) & C != A & A != B)) # label(t25_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 429 (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]. 43.34/42.23 430 (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]. 43.34/42.23 431 (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]. 43.34/42.23 432 (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]. 43.34/42.23 433 $T # label(t133_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 434 (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]. 43.34/42.23 435 (all A all B all C -(k1_tarski(A) != k4_xboole_0(k2_tarski(A,B),C) & k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(B) & k2_tarski(A,B) != k4_xboole_0(k2_tarski(A,B),C) & k1_xboole_0 != k4_xboole_0(k2_tarski(A,B),C))) # label(t74_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 436 $T # label(t61_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 437 (all A all B all C (r2_hidden(A,C) & r2_hidden(B,C) <-> r1_tarski(k2_tarski(A,B),C))) # label(t38_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 438 (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]. 43.34/42.23 439 (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]. 43.34/42.23 440 (all A all B all C -(-r1_xboole_0(k2_tarski(A,C),B) & -r2_hidden(C,B) & -r2_hidden(A,B))) # label(t57_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 441 $T # label(t87_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 442 (all A all B all C (k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(C,k1_tarski(B))) = k2_zfmisc_1(C,k2_tarski(A,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]. 43.34/42.23 443 (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]. 43.34/42.23 444 $T # label(dt_k3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 445 (all A all B k1_xboole_0 != k2_xboole_0(k1_tarski(A),B)) # label(t49_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 446 (all A all B all C -(r2_hidden(B,C) & A != B & k3_xboole_0(k2_tarski(A,B),C) = k1_tarski(A))) # label(t59_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 447 (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]. 43.34/42.23 448 (all A all B all C all D (A != B -> r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B))) & r1_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),D)))) # label(t131_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 449 (all A all B all C all D all E (r2_hidden(A,k2_zfmisc_1(D,E)) & r2_hidden(A,k2_zfmisc_1(B,C)) -> 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]. 43.34/42.23 450 (all A all B all C (k3_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) = k2_zfmisc_1(C,k3_xboole_0(A,B)) & k2_zfmisc_1(k3_xboole_0(A,B),C) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)))) # label(t122_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 451 (all A k3_tarski(k1_zfmisc_1(A)) = A) # label(t99_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 452 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 453 (all A all B all C -(A != k1_xboole_0 & -r1_tarski(B,C) & (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(A,C)) | r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(C,A))))) # label(t117_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 454 (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]. 43.34/42.23 455 (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]. 43.34/42.23 456 (all A all B all C all D ((all E all F (r2_hidden(k4_tarski(E,F),k2_zfmisc_1(A,B)) <-> r2_hidden(k4_tarski(E,F),k2_zfmisc_1(C,D)))) -> k2_zfmisc_1(C,D) = k2_zfmisc_1(A,B))) # label(t108_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 457 (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]. 43.34/42.23 458 (all A all B (r2_hidden(A,B) <-> k1_xboole_0 = k4_xboole_0(k1_tarski(A),B))) # label(t68_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 459 (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]. 43.34/42.23 460 $T # label(dt_k4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 461 (all A all B all C all D k2_zfmisc_1(k3_xboole_0(A,B),k3_xboole_0(C,D)) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))) # label(t123_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 462 (all A all B (r2_hidden(A,B) -> B = k2_xboole_0(k1_tarski(A),B))) # label(t46_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 463 (all A all B (r1_xboole_0(k1_tarski(A),B) | k3_xboole_0(k1_tarski(A),B) = k1_tarski(A))) # label(t58_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 464 $T # label(t90_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 465 (all A all B (k3_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) -> B = A)) # label(t18_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 466 (all A all B all C (-(A != k1_xboole_0 & A != k1_tarski(C) & A != k2_tarski(B,C) & k1_tarski(B) != A) <-> k4_xboole_0(A,k2_tarski(B,C)) = k1_xboole_0)) # label(t75_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 467 (all A all B all C all D -(A != D & A != C & r1_tarski(k2_tarski(A,B),k2_tarski(C,D)))) # label(t28_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 468 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 469 (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) = k4_subset_1(A,C,B))) # label(commutativity_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 470 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> m1_subset_1(k7_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 471 (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,k4_subset_1(A,B,C)) = k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C)))))) # label(t29_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 472 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,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]. 43.34/42.23 473 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> ((all C (m1_subset_1(C,A) -> r2_hidden(C,B))) -> B = A))) # label(t49_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 474 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = k5_subset_1(A,C,B))) # label(commutativity_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.23 475 (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)))) -> A = B))))) # label(s2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 476 $T # label(t5_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 477 (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]. 43.34/42.24 478 (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]. 43.34/42.24 479 $T # label(t9_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 480 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> -r2_subset_1(A,A))) # label(irreflexivity_r2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 481 (all A k1_subset_1(A) = k3_subset_1(A,k2_subset_1(A))) # label(t21_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 482 (all A (m1_subset_1(A,f1_s4_subset_1) -> (r2_hidden(A,f3_s4_subset_1) <-> p1_s4_subset_1(A)))) & (all A (m1_subset_1(A,f1_s4_subset_1) -> (p1_s4_subset_1(A) <-> r2_hidden(A,f2_s4_subset_1)))) -> f3_s4_subset_1 = f2_s4_subset_1 # label(s4_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 483 (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]. 43.34/42.24 484 (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]. 43.34/42.24 485 (all A k1_xboole_0 = k1_subset_1(A)) # label(d3_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 486 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k2_subset_1(A) = k4_subset_1(A,B,k3_subset_1(A,B)))) # label(t25_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 487 (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]. 43.34/42.24 488 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k7_subset_1(A,C,B) = k7_subset_1(A,B,C))) # label(commutativity_k7_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 489 $T # label(t12_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 490 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> -(r2_hidden(D,C) <-> r2_hidden(D,B)))) -> k3_subset_1(A,C) = B))))) # label(t53_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 491 (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(k6_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 492 (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]. 43.34/42.24 493 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 494 $T # label(t37_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 495 $T # label(t23_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 496 (all A k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A))) # label(t22_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 497 $T # label(t2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 498 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,C) & r2_hidden(E,D) <-> r2_hidden(E,B)))) -> B = k5_subset_1(A,C,D)))))))) # label(t16_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 499 (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]. 43.34/42.24 500 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (r1_xboole_0(A,B) <-> r1_subset_1(A,B)))) # label(redefinition_r1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 501 $T # label(t14_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 502 (exists A (m1_subset_1(A,k1_zfmisc_1(f1_s1_subset_1)) & (all B (r2_hidden(B,A) <-> r2_hidden(B,f1_s1_subset_1) & p1_s1_subset_1(B))))) # label(s1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 503 (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]. 43.34/42.24 504 (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]. 43.34/42.24 505 (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,B))))) # label(redefinition_m2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 506 (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)))) -> k4_subset_1(A,C,D) = B))))))) # label(t15_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 507 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 508 (all A m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 509 (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(k5_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 510 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_subset_1(A,B) = k4_xboole_0(A,B))) # label(d5_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 511 (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]. 43.34/42.24 512 (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]. 43.34/42.24 513 (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]. 43.34/42.24 514 $T # label(t20_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 515 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,k3_subset_1(A,C)) = k6_subset_1(A,B,C))))) # label(t32_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 516 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> -v1_xboole_0(k4_zfmisc_1(A,B,C,D)))) # label(fc6_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 517 (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]. 43.34/42.24 518 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> r1_tarski(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]. 43.34/42.24 519 (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))))) -> k7_subset_1(A,C,D) = B))))))) # label(t18_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 520 $T # label(t1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 521 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r1_tarski(B,C) & r1_xboole_0(D,C) -> r1_tarski(B,k3_subset_1(A,D))))))))) # label(t47_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 522 (all A all B (m1_subset_1(B,A) -> (A != k1_xboole_0 -> m1_subset_1(k1_tarski(B),k1_zfmisc_1(A))))) # label(t55_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 523 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r1_subset_1(A,B) -> r1_subset_1(B,A)))) # label(symmetry_r1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 524 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_xboole_0(B,C) = k6_subset_1(A,B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 525 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = k5_xboole_0(B,C))) # label(redefinition_k7_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 526 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 527 (all A (-$T -> (all B (m1_subset_1(B,A) -> B = k8_subset_1(A))))) # label(d6_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 528 $T # label(t11_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 529 (all A all B all C (-v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k3_zfmisc_1(A,B,C)))) # label(fc5_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 530 (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]. 43.34/42.24 531 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (k1_subset_1(A) = B <-> r1_tarski(B,k3_subset_1(A,B))))) # label(t38_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 532 (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]. 43.34/42.24 533 (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]. 43.34/42.24 534 (all A (A != k1_xboole_0 -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,A) -> (-r2_hidden(C,B) -> r2_hidden(C,k3_subset_1(A,B))))))))) # label(t50_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 535 (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)))) -> B = k6_subset_1(A,C,D)))))))) # label(t17_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 536 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,k3_subset_1(A,B),C) = k3_subset_1(A,k6_subset_1(A,B,C)))))) # label(t33_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 537 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_xboole_0(B,C) & r1_xboole_0(k3_subset_1(A,B),k3_subset_1(A,C)) -> k3_subset_1(A,C) = B))))) # label(t46_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 538 $T # label(t45_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 539 (all A k2_subset_1(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 540 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (k2_subset_1(A) = B <-> r1_tarski(k3_subset_1(A,B),B)))) # label(t39_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 541 (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]. 43.34/42.24 542 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (r2_subset_1(A,B) <-> r1_xboole_0(A,B)))) # label(redefinition_r2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 543 (exists A (m1_subset_1(A,k1_zfmisc_1(f1_s3_subset_1)) & (all B (m1_subset_1(B,f1_s3_subset_1) -> (r2_hidden(B,A) <-> p1_s3_subset_1(B)))))) # label(s3_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 544 $T # label(t27_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 545 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 546 (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]. 43.34/42.24 547 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_subset_1(A,k3_subset_1(A,B)) = B)) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 548 (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]. 43.34/42.24 549 $T # label(t24_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 550 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (A != k1_xboole_0 -> m1_subset_1(k4_enumset1(B,C,D,E,F,G),k1_zfmisc_1(A))))))))))))))) # label(t60_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 551 $T # label(t13_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 552 (all A m1_subset_1(k1_xboole_0,k1_zfmisc_1(A))) # label(t4_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 553 (all A m1_subset_1(k8_subset_1(A),A)) # label(dt_k8_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 554 (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]. 43.34/42.24 555 $T # label(t19_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 556 $T # label(d1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 557 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,A) -> (k1_xboole_0 != A -> m1_subset_1(k5_enumset1(B,C,D,E,F,G,H),k1_zfmisc_1(A))))))))))))))))) # label(t61_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 558 (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(t52_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 559 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(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]. 43.34/42.24 560 (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]. 43.34/42.24 561 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k1_xboole_0 != A -> m1_subset_1(k2_enumset1(B,C,D,E),k1_zfmisc_1(A))))))))))) # label(t58_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 562 $T # label(t6_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 563 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 564 (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) -> (A != k1_xboole_0 -> 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]. 43.34/42.24 565 (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]. 43.34/42.24 566 (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]. 43.34/42.24 567 (all A all B ((v1_xboole_0(A) -> (v1_xboole_0(B) <-> m1_subset_1(B,A))) & (-v1_xboole_0(A) -> (r2_hidden(B,A) <-> m1_subset_1(B,A))))) # label(d2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 568 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (k1_xboole_0 != A -> m1_subset_1(k1_enumset1(B,C,D),k1_zfmisc_1(A))))))))) # label(t57_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 569 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -(k1_xboole_0 != B & (all C (m1_subset_1(C,A) -> -r2_hidden(C,B)))))) # label(t10_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 570 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 571 (all A exists B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 572 (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]. 43.34/42.24 573 $T # label(t3_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 574 (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) = k2_xboole_0(B,C))) # label(redefinition_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 575 (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]. 43.34/42.24 576 (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]. 43.34/42.24 577 (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)))) -> C = B))))) # label(t8_subset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 578 $T # label(t16_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 579 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k1_tarski(A) -> k7_setfam_1(A,B) = k1_tarski(k1_xboole_0)))) # label(t55_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 580 (all A all B all C (k4_setfam_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(F,B) & D = k4_xboole_0(E,F) & r2_hidden(E,A))))))) # label(d6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 581 (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]. 43.34/42.24 582 (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]. 43.34/42.24 583 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (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]. 43.34/42.24 584 (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]. 43.34/42.24 585 $T # label(t43_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 586 $T # label(t14_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 587 (all A all B (B != k1_xboole_0 -> 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]. 43.34/42.24 588 (all A all B r1_setfam_1(A,A)) # label(reflexivity_r1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 589 $T # label(t15_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 590 (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)))) -> B = C))))) # label(t44_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 591 (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]. 43.34/42.24 592 $T # label(dt_k2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 593 (all A all B all C (k3_setfam_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(E,A) & r2_hidden(F,B) & D = k3_xboole_0(E,F))))))) # label(d5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 594 (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]. 43.34/42.24 595 $T # label(t1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 596 $T # label(d7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 597 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k7_setfam_1(A,C) = k7_setfam_1(A,B) -> B = C))))) # label(t53_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 598 (all A all B (r2_setfam_1(A,B) <-> (all C -((all D -(r1_tarski(D,C) & r2_hidden(D,A))) & r2_hidden(C,B))))) # label(d3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 599 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_setfam_1(B),k1_setfam_1(A)) | k1_xboole_0 = A)) # label(t7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 600 (exists A (-v1_xboole_0(A) & v1_setfam_1(A))) # label(rc1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 601 (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]. 43.34/42.24 602 (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))) # label(t46_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 603 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> B = k7_setfam_1(A,k7_setfam_1(A,B)))) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 604 (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]. 43.34/42.24 605 (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]. 43.34/42.24 606 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> 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]. 43.34/42.24 607 (all A all B k3_setfam_1(B,A) = k3_setfam_1(A,B)) # label(commutativity_k3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 608 (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]. 43.34/42.24 609 (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]. 43.34/42.24 610 (all A r1_setfam_1(A,k2_setfam_1(A,A))) # label(t29_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 611 $T # label(dt_k4_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 612 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_tarski(A)) & v1_setfam_1(k1_tarski(A)))) # label(fc2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 613 (all A (r2_hidden(k1_xboole_0,A) -> k1_xboole_0 = k1_setfam_1(A))) # label(t5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 614 (all A k1_setfam_1(k1_tarski(A)) = A) # label(t11_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 615 (exists A -v2_setfam_1(A)) # label(rc2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 616 (all A all B ((all C (r2_hidden(C,A) -> r1_tarski(B,C))) -> r1_tarski(B,k1_setfam_1(A)) | A = k1_xboole_0)) # label(t6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 617 $T # label(dt_k3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 618 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_xboole_0(B) -> v1_xboole_0(k7_setfam_1(A,B)))) # label(fc1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 619 (all A (-v2_setfam_1(A) -> (exists B (m1_subset_1(B,A) & -v1_xboole_0(B))))) # label(rc3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 620 (all A r1_setfam_1(k1_xboole_0,A)) # label(t20_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 621 $T # label(t22_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 622 (all A all B (r1_tarski(A,B) -> r1_setfam_1(A,B))) # label(t17_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 623 (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]. 43.34/42.24 624 (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]. 43.34/42.24 625 $T # label(t28_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 626 $T # label(t42_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 627 (all A r1_setfam_1(k4_setfam_1(A,A),A)) # label(t31_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 628 (all A (r1_setfam_1(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t21_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 629 (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]. 43.34/42.24 630 (all A r1_setfam_1(k3_setfam_1(A,A),A)) # label(t30_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 631 (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]. 43.34/42.24 632 (all A (-r2_hidden(k1_xboole_0,A) <-> v1_setfam_1(A))) # label(d9_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 633 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k6_setfam_1(A,B) = k1_setfam_1(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 634 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k1_xboole_0 -> k8_setfam_1(A,B) = A) & (k1_xboole_0 != B -> k6_setfam_1(A,B) = k8_setfam_1(A,B)))) # label(d10_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 635 (all A all B all C (r1_setfam_1(A,B) & r1_setfam_1(B,C) -> r1_setfam_1(A,C))) # label(t23_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 636 (all A all B all C (C = k2_setfam_1(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(F,B) & k2_xboole_0(E,F) = D & r2_hidden(E,A))))))) # label(d4_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 637 $T # label(t27_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 638 (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]. 43.34/42.24 639 (all A all B all C (r1_tarski(C,k3_tarski(k2_xboole_0(A,B))) & (all D (r2_hidden(D,B) -> r1_xboole_0(D,C))) -> r1_tarski(C,k3_tarski(A)))) # label(t57_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 640 $T # label(t26_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 641 (all A all B all C (r1_setfam_1(C,k2_tarski(A,B)) -> (all D -(r2_hidden(D,C) & -r1_tarski(D,A) & -r1_tarski(D,B))))) # label(t25_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 642 $T # label(t45_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 643 (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]. 43.34/42.24 644 (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]. 43.34/42.24 645 (all A all B all C (r1_tarski(A,C) & r2_hidden(A,B) -> r1_tarski(k1_setfam_1(B),C))) # label(t8_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 646 (all A all B ((A != k1_xboole_0 -> ((all C (r2_hidden(C,B) <-> (all D (r2_hidden(D,A) -> r2_hidden(C,D))))) <-> B = k1_setfam_1(A))) & (A = k1_xboole_0 -> (B = k1_setfam_1(A) <-> k1_xboole_0 = B)))) # label(d1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 647 (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))) -> (C = k7_setfam_1(A,B) <-> (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]. 43.34/42.24 648 $T # label(t50_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 649 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 650 (all A all B (r2_setfam_1(B,A) -> r1_tarski(k1_setfam_1(B),k1_setfam_1(A)) | k1_xboole_0 = A)) # label(t19_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 651 (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]. 43.34/42.24 652 (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]. 43.34/42.24 653 (all A all B (k1_xboole_0 != B -> k4_xboole_0(A,k1_setfam_1(B)) = k3_tarski(k4_setfam_1(k1_tarski(A),B)))) # label(t38_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 654 (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]. 43.34/42.24 655 (all A all B ((all C -((all D -(r2_hidden(D,B) & r1_tarski(C,D))) & r2_hidden(C,A))) <-> r1_setfam_1(A,B))) # label(d2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 656 (all A r1_tarski(k1_setfam_1(A),k3_tarski(A))) # label(t3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 657 (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]. 43.34/42.24 658 (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]. 43.34/42.24 659 (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]. 43.34/42.24 660 (all A (-v2_setfam_1(A) -> -v1_xboole_0(A))) # label(cc2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 661 $T # label(t33_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 662 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_tarski(A,B)) & v1_setfam_1(k2_tarski(A,B)))) # label(fc3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 663 (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(k3_subset_1(A,C),k7_setfam_1(A,B)) <-> r2_hidden(C,B)))))) # label(t49_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 664 (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]. 43.34/42.24 665 $T # label(t32_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 666 (all A all B -(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))) & k1_xboole_0 != A)) # label(t40_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 667 (all A all B r2_setfam_1(B,B)) # label(reflexivity_r2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 668 (all A all B -(k1_xboole_0 != A & k1_setfam_1(k2_xboole_0(A,B)) != k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)) & k1_xboole_0 != B)) # label(t10_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 669 $T # label(t13_setfam_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 670 (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]. 43.34/42.24 671 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 672 (all A all B all C -(v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(C)) & r2_hidden(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 673 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 674 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 675 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 676 (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]. 43.34/42.24 677 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k1_relat_1(B)) -> A = k1_relat_1(k7_relat_1(B,A))))) # label(t91_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 678 $T # label(t70_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 679 (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]. 43.34/42.24 680 (all A all B (v1_relat_1(B) -> k3_xboole_0(k2_relat_1(B),A) = k2_relat_1(k8_relat_1(A,B)))) # label(t119_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 681 (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]. 43.34/42.24 682 (all A k8_relat_1(A,k1_xboole_0) = k1_xboole_0) # label(t138_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 683 (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]. 43.34/42.24 684 (all A all B all C (v1_relat_1(C) -> (k1_tarski(k4_tarski(A,B)) = C -> k2_tarski(A,B) = k3_relat_1(C)))) # label(t32_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 685 $T # label(t7_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 686 (all A all B all C (v1_relat_1(C) -> k3_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)) = k7_relat_1(C,k3_xboole_0(A,B)))) # label(t108_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 687 $T # label(t61_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 688 (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]. 43.34/42.24 689 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> B = k7_relat_1(B,A)))) # label(t97_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 690 (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]. 43.34/42.24 691 (exists A (v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 692 (all A (v1_relat_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> A = k1_xboole_0))) # label(t56_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 693 (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]. 43.34/42.24 694 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 695 $T # label(t8_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 696 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 697 (all A all B all C all D (v1_relat_1(D) -> (r2_hidden(k4_tarski(A,B),D) & r2_hidden(B,C) <-> r2_hidden(k4_tarski(A,B),k5_relat_1(D,k6_relat_1(C)))))) # label(t75_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 698 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k1_relat_1(A),k1_relat_1(B)) & r1_tarski(k2_relat_1(A),k2_relat_1(B))))))) # label(t25_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 699 (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]. 43.34/42.24 700 (all A all B all C (v1_relat_1(C) -> k2_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) = k9_relat_1(C,k2_xboole_0(A,B)))) # label(t153_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 701 (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]. 43.34/42.24 702 (all A (-v1_xboole_0(A) & v1_relat_1(A) -> -v1_xboole_0(k1_relat_1(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 703 (all A all B (v3_relat_1(A) & v1_relat_1(A) -> v3_relat_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc13_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 704 (all A (v1_relat_1(A) -> k1_relat_1(A) = k10_relat_1(A,k2_relat_1(A)))) # label(t169_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 705 (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]. 43.34/42.24 706 (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]. 43.34/42.24 707 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C all D (k7_relat_1(A,D) = k7_relat_1(B,D) & r1_tarski(C,D) -> k7_relat_1(B,C) = k7_relat_1(A,C))))))) # label(t188_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 708 (all A all B (v1_relat_1(B) -> k1_relat_1(k7_relat_1(B,A)) = k3_xboole_0(k1_relat_1(B),A))) # label(t90_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 709 (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]. 43.34/42.24 710 (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]. 43.34/42.24 711 $T # label(t114_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 712 (all A all B (v1_relat_1(B) -> (k1_xboole_0 = k9_relat_1(B,A) <-> r1_xboole_0(k1_relat_1(B),A)))) # label(t151_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 713 (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]. 43.34/42.24 714 (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]. 43.34/42.24 715 (all A (v1_relat_1(A) -> ((all B (r2_hidden(B,k2_relat_1(A)) -> k1_xboole_0 = B)) <-> v3_relat_1(A)))) # label(t184_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 716 (all A all B all C (v1_relat_1(C) -> k7_relat_1(k8_relat_1(A,C),B) = k8_relat_1(A,k7_relat_1(C,B)))) # label(t140_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 717 (exists A (v3_relat_1(A) & v1_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 718 (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]. 43.34/42.24 719 (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]. 43.34/42.24 720 $T # label(t58_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 721 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k2_relat_1(B)) -> A = k2_relat_1(k8_relat_1(A,B))))) # label(t120_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 722 (all A (v1_relat_1(A) -> A = k8_relat_1(k2_relat_1(A),A))) # label(t126_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 723 (exists A (v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 724 $T # label(t83_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 725 (all A (A = k1_relat_1(k6_relat_1(A)) & k2_relat_1(k6_relat_1(A)) = A)) # label(t71_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 726 (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]. 43.34/42.24 727 (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]. 43.34/42.24 728 $T # label(t11_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 729 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_xboole_0(k4_relat_1(A),k4_relat_1(B)) = k4_relat_1(k4_xboole_0(A,B)))))) # label(t41_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 730 (all A all B all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k9_relat_1(C,A),k9_relat_1(D,B))))))) # label(t158_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 731 (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]. 43.34/42.24 732 (all A all B all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k7_relat_1(C,A),k7_relat_1(D,B))))))) # label(t106_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 733 (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]. 43.34/42.24 734 $T # label(t85_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 735 (all A (v1_relat_1(A) -> (all B all C (v1_relat_1(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),A) & r2_hidden(D,B) <-> r2_hidden(k4_tarski(D,E),C))) <-> k7_relat_1(A,B) = C))))) # label(d11_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 736 (all A all B all C (v1_relat_1(C) -> k7_relat_1(C,k4_xboole_0(A,B)) = k4_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)))) # label(t109_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 737 (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]. 43.34/42.24 738 (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]. 43.34/42.24 739 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 740 (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]. 43.34/42.24 741 (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]. 43.34/42.24 742 (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]. 43.34/42.24 743 (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]. 43.34/42.24 744 (all A k10_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t172_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.24 745 (all A (v1_relat_1(A) -> A = k4_relat_1(k4_relat_1(A)))) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 746 (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]. 43.34/42.25 747 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 748 (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]. 43.34/42.25 749 (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]. 43.34/42.25 750 (all A all B (v1_relat_1(B) -> k7_relat_1(B,A) = k7_relat_1(k7_relat_1(B,A),A))) # label(t101_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 751 (exists A (v1_relat_1(A) & (all B all C (r2_hidden(B,f1_s1_relat_1) & r2_hidden(C,f2_s1_relat_1) & p1_s1_relat_1(B,C) <-> r2_hidden(k4_tarski(B,C),A))))) # label(s1_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 752 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 753 (all A all B (v1_relat_1(B) -> -(k1_xboole_0 != A & k1_xboole_0 = k9_relat_1(B,A) & r1_tarski(A,k1_relat_1(B))))) # label(t152_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 754 (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]. 43.34/42.25 755 (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]. 43.34/42.25 756 (all A all B (v1_relat_1(B) -> k8_relat_1(A,B) = k8_relat_1(A,k8_relat_1(A,B)))) # label(t128_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 757 $T # label(t164_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 758 (all A all B (v1_relat_1(B) & v1_xboole_0(A) -> v1_relat_1(k5_relat_1(A,B)) & v1_xboole_0(k5_relat_1(A,B)))) # label(fc9_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 759 (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]. 43.34/42.25 760 (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]. 43.34/42.25 761 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k3_xboole_0(k4_relat_1(A),k4_relat_1(B)) = k4_relat_1(k3_xboole_0(A,B)))))) # label(t39_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 762 (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]. 43.34/42.25 763 (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]. 43.34/42.25 764 (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]. 43.34/42.25 765 (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]. 43.34/42.25 766 (all A all B (v1_relat_1(B) -> k5_relat_1(B,k6_relat_1(A)) = k8_relat_1(A,B))) # label(t123_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 767 (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]. 43.34/42.25 768 $T # label(t57_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 769 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 770 $T # label(t162_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 771 (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]. 43.34/42.25 772 (all A (v1_relat_1(A) -> (all B (k1_relat_1(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(C,D),A)))))))) # label(d4_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 773 (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]. 43.34/42.25 774 $T # label(t2_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 775 (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]. 43.34/42.25 776 (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]. 43.34/42.25 777 $T # label(t17_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 778 $T # label(t35_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 779 (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]. 43.34/42.25 780 (all A (v1_relat_1(A) -> (all B ((all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(D,C),A)))) <-> k2_relat_1(A) = B)))) # label(d5_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 781 (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]. 43.34/42.25 782 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k5_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,k5_relat_1(B,C)))))) # label(t139_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 783 (all A all B all C (v1_relat_1(C) -> ((exists D (r2_hidden(k4_tarski(A,D),C) & r2_hidden(D,B) & r2_hidden(D,k2_relat_1(C)))) <-> r2_hidden(A,k10_relat_1(C,B))))) # label(t166_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 784 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k5_relat_1(k4_relat_1(B),k4_relat_1(A)) = k4_relat_1(k5_relat_1(A,B)))))) # label(t54_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 785 $T # label(t69_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 786 (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]. 43.34/42.25 787 (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]. 43.34/42.25 788 (all A all B all C (v1_relat_1(C) -> k3_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) = k8_relat_1(k3_xboole_0(A,B),C))) # label(t135_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 789 (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]. 43.34/42.25 790 (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]. 43.34/42.25 791 (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]. 43.34/42.25 792 (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]. 43.34/42.25 793 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> k5_relat_1(B,k6_relat_1(A)) = B))) # label(t79_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 794 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(t6_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 795 (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]. 43.34/42.25 796 (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]. 43.34/42.25 797 (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(D,B) & r2_hidden(k4_tarski(D,A),C)))))) # label(t143_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 798 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k9_relat_1(C,k9_relat_1(B,A)) = k9_relat_1(k5_relat_1(B,C),A))))) # label(t159_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 799 (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]. 43.34/42.25 800 (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_tarski(A,C) = k1_relat_1(E) & k2_relat_1(E) = k2_tarski(B,D)))) # label(t24_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 801 (all A all B all C (v1_relat_1(C) -> (k1_tarski(k4_tarski(A,B)) = C -> k2_relat_1(C) = k1_tarski(B) & k1_relat_1(C) = k1_tarski(A)))) # label(t23_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 802 (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]. 43.34/42.25 803 (all A (v1_relat_1(A) -> k1_xboole_0 = k8_relat_1(k1_xboole_0,A))) # label(t137_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 804 (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]. 43.34/42.25 805 (all A k1_xboole_0 = k9_relat_1(k1_xboole_0,A)) # label(t150_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 806 (all A all B (v1_relat_1(B) -> -(r2_hidden(A,k2_relat_1(B)) & (all C -r2_hidden(C,k1_relat_1(B)))))) # label(t19_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 807 (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]. 43.34/42.25 808 $T # label(t1_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 809 (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]. 43.34/42.25 810 (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]. 43.34/42.25 811 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> ((all D all E (r2_hidden(E,A) & r2_hidden(k4_tarski(D,E),B) <-> r2_hidden(k4_tarski(D,E),C))) <-> C = k8_relat_1(A,B)))))) # label(d12_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 812 (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]. 43.34/42.25 813 (all A (v1_relat_1(A) -> k3_xboole_0(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))) = A)) # label(t22_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 814 $T # label(t12_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 815 (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(A) = k2_relat_1(k5_relat_1(B,A))))))) # label(t47_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 816 (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]. 43.34/42.25 817 $T # label(t63_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 818 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),C) <-> (exists F (r2_hidden(k4_tarski(D,F),A) & r2_hidden(k4_tarski(F,E),B))))) <-> C = k5_relat_1(A,B)))))))) # label(d8_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 819 (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(B,C) = k7_relat_1(A,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]. 43.34/42.25 820 (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]. 43.34/42.25 821 $T # label(t59_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 822 (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]. 43.34/42.25 823 (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]. 43.34/42.25 824 (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]. 43.34/42.25 825 (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]. 43.34/42.25 826 (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]. 43.34/42.25 827 $T # label(t142_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 828 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(B)) -> k5_relat_1(A,B) = k1_xboole_0))))) # label(t67_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 829 $T # label(t165_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 830 $T # label(t68_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 831 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k2_xboole_0(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 832 (all A (v1_relat_1(A) -> k1_relat_1(k4_relat_1(A)) = k2_relat_1(A) & k2_relat_1(k4_relat_1(A)) = k1_relat_1(A))) # label(t37_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 833 (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]. 43.34/42.25 834 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (B = A <-> (all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(k4_tarski(C,D),A)))))))) # label(d2_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 835 (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]. 43.34/42.25 836 (all A all B (v1_relat_1(B) -> (r1_xboole_0(k2_relat_1(B),A) <-> k10_relat_1(B,A) = k1_xboole_0))) # label(t173_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 837 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k2_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)) = k5_relat_1(A,k2_xboole_0(B,C)))))))) # label(t51_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 838 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((all C all D (r2_hidden(k4_tarski(D,C),A) <-> r2_hidden(k4_tarski(C,D),B))) <-> k4_relat_1(A) = B))))) # label(d7_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 839 (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]. 43.34/42.25 840 $T # label(t42_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 841 (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]. 43.34/42.25 842 (all A (v1_relat_1(A) -> (all B all C (k10_relat_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (r2_hidden(E,B) & r2_hidden(k4_tarski(D,E),A))))))))) # label(d14_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 843 (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]. 43.34/42.25 844 (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]. 43.34/42.25 845 (all A k1_xboole_0 = k7_relat_1(k1_xboole_0,A)) # label(t111_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 846 (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]. 43.34/42.25 847 (all A all B (v1_relat_1(B) -> -(r1_tarski(A,k2_relat_1(B)) & k10_relat_1(B,A) = k1_xboole_0 & A != k1_xboole_0))) # label(t174_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 848 $T # label(t16_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 849 (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]. 43.34/42.25 850 $T # label(t84_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 851 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k5_relat_1(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 852 (all A (v1_relat_1(A) -> (k2_relat_1(A) = k1_xboole_0 | k1_relat_1(A) = k1_xboole_0 -> k1_xboole_0 = A))) # label(t64_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 853 (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]. 43.34/42.25 854 (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]. 43.34/42.25 855 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 856 (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]. 43.34/42.25 857 (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]. 43.34/42.25 858 $T # label(t36_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 859 (all A all B all C (v1_relat_1(C) -> k2_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)) = k10_relat_1(C,k2_xboole_0(A,B)))) # label(t175_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 860 (all A k6_relat_1(A) = k4_relat_1(k6_relat_1(A))) # label(t72_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 861 (all A (v1_relat_1(A) -> k2_xboole_0(k1_relat_1(A),k2_relat_1(A)) = k3_relat_1(A))) # label(d6_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 862 (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]. 43.34/42.25 863 (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]. 43.34/42.25 864 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(A,k3_relat_1(C)) & r2_hidden(B,k3_relat_1(C))))) # label(t30_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 865 (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]. 43.34/42.25 866 $T # label(t43_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 867 (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]. 43.34/42.25 868 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 869 (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]. 43.34/42.25 870 (all A (v1_relat_1(A) -> (k1_xboole_0 = k2_relat_1(A) <-> k1_relat_1(A) = k1_xboole_0))) # label(t65_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 871 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(C,B) & r1_tarski(k1_relat_1(C),A) -> r1_tarski(C,k7_relat_1(B,A))))))) # label(t186_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 872 (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]. 43.34/42.25 873 (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]. 43.34/42.25 874 (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]. 43.34/42.25 875 (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]. 43.34/42.25 876 (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]. 43.34/42.25 877 (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]. 43.34/42.25 878 (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]. 43.34/42.25 879 (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]. 43.34/42.25 880 (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]. 43.34/42.25 881 (all A all B all C all D (v1_relat_1(D) -> (r2_hidden(k4_tarski(A,B),D) & r2_hidden(A,C) <-> r2_hidden(k4_tarski(A,B),k5_relat_1(k6_relat_1(C),D))))) # label(t74_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 882 (all A all B v1_relat_1(k1_tarski(k4_tarski(A,B)))) # label(t4_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 883 (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]. 43.34/42.25 884 (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]. 43.34/42.25 885 (all A all B (v1_relat_1(B) -> -(r2_hidden(A,k1_relat_1(B)) & (all C -r2_hidden(C,k2_relat_1(B)))))) # label(t18_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 886 (all A all B (v1_relat_1(B) -> r1_tarski(k5_relat_1(B,k6_relat_1(A)),B) & r1_tarski(k5_relat_1(k6_relat_1(A),B),B))) # label(t76_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 887 (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]. 43.34/42.25 888 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> k5_relat_1(k6_relat_1(A),B) = B))) # label(t77_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 889 (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]. 43.34/42.25 890 (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]. 43.34/42.25 891 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k5_relat_1(A,k5_relat_1(B,C)) = k5_relat_1(k5_relat_1(A,B),C))))))) # label(t55_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 892 $T # label(t113_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 893 (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]. 43.34/42.25 894 (all A all B (v1_relat_1(B) -> ((all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(C,A) & C = D)) <-> k6_relat_1(A) = B))) # label(d10_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 895 (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]. 43.34/42.25 896 (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]. 43.34/42.25 897 (all A all B (v1_relat_1(B) -> k7_relat_1(B,A) = k5_relat_1(k6_relat_1(A),B))) # label(t94_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 898 (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]. 43.34/42.25 899 (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]. 43.34/42.25 900 (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]. 43.34/42.25 901 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k4_relat_1(A),k4_relat_1(B)))))) # label(t40_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 902 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (k5_relat_1(B,D) = k6_relat_1(A) & k6_relat_1(k1_relat_1(D)) = k5_relat_1(C,B) & r1_tarski(k2_relat_1(C),A) & A = k1_relat_1(B) -> D = C))))))) # label(t82_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 903 (all A all B all C (v1_relat_1(C) -> k4_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) = k8_relat_1(k4_xboole_0(A,B),C))) # label(t136_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 904 $T # label(t141_relat_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 905 (all A k6_relat_1(A) = k2_funct_1(k6_relat_1(A))) # label(t67_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 906 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(k5_relat_1(B,A)) = k1_relat_1(B) -> r1_tarski(k2_relat_1(B),k1_relat_1(A))))))) # label(t27_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 907 $T # label(t109_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 908 (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(k5_relat_1(C,B))) -> k1_funct_1(B,k1_funct_1(C,A)) = k1_funct_1(k5_relat_1(C,B),A)))))) # label(t22_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 909 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 910 (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]. 43.34/42.25 911 $T # label(t5_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 912 (all A all B (v1_relat_1(B) -> (k10_relat_1(B,k1_tarski(A)) != k1_xboole_0 <-> r2_hidden(A,k2_relat_1(B))))) # label(t142_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 913 $T # label(t103_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 914 $T # label(t69_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 915 (all A v2_funct_1(k6_relat_1(A))) # label(t52_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 916 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) <-> (all B -((all C k10_relat_1(A,k1_tarski(B)) != k1_tarski(C)) & r2_hidden(B,k2_relat_1(A))))))) # label(t144_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 917 $T # label(t98_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 918 (all A all B all C (v1_relat_1(C) & v1_funct_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]. 43.34/42.25 919 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_funct_1(A) = k4_relat_1(A)))) # label(d9_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 920 (exists A (v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 921 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((all D (r2_hidden(D,C) <-> r2_hidden(k1_funct_1(A,D),B) & r2_hidden(D,k1_relat_1(A)))) <-> C = k10_relat_1(A,B))))) # label(d13_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 922 $T # label(t132_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 923 $T # label(d2_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 924 (all A all B -((all C (v1_relat_1(C) & v1_funct_1(C) -> -(B = k1_relat_1(C) & r1_tarski(k2_relat_1(C),A)))) & -(k1_xboole_0 = A & B != k1_xboole_0))) # label(t18_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 925 (all A all B all C (v1_relat_1(C) -> k10_relat_1(k7_relat_1(C,A),B) = k3_xboole_0(A,k10_relat_1(C,B)))) # label(t139_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 926 $T # label(t39_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 927 $T # label(t30_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 928 (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]. 43.34/42.25 929 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A) & k1_relat_1(k5_relat_1(k2_funct_1(A),A)) = k2_relat_1(A)))) # label(t59_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 930 $T # label(t130_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 931 $T # label(t119_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 932 $T # label(t31_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 933 $T # label(d6_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 934 $T # label(t24_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 935 $T # label(t111_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 936 (exists A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 937 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k5_relat_1(A,B) = A & k2_relat_1(A) = k1_relat_1(B) -> B = k6_relat_1(k1_relat_1(B))))))) # label(t44_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 938 $T # label(d10_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 939 $T # label(t116_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 940 (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)) -> k1_funct_1(A,C) = k1_funct_1(B,C))) -> A = B))))) # label(t9_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 941 $T # label(t140_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 942 $T # label(t135_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 943 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_tarski(A) = k2_relat_1(B) & k1_tarski(A) = k2_relat_1(C) & k1_relat_1(C) = k1_relat_1(B) -> C = B))))) # label(t17_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 944 (all A all B all C (v1_relat_1(C) & v1_funct_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]. 43.34/42.25 945 $T # label(t134_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 946 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k3_xboole_0(k9_relat_1(C,A),B) = k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))))) # label(t150_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 947 (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]. 43.34/42.25 948 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_funct_1(k2_funct_1(A)) = A))) # label(t65_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 949 (all A all B (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> 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]. 43.34/42.25 950 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & r2_hidden(A,k2_relat_1(B)) -> A = k1_funct_1(B,k1_funct_1(k2_funct_1(B),A)) & A = k1_funct_1(k5_relat_1(k2_funct_1(B),B),A)))) # label(t57_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 951 (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]. 43.34/42.25 952 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> r1_tarski(k10_relat_1(B,k9_relat_1(B,A)),A)))) # label(t152_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 953 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k1_funct_1(C,A),k1_relat_1(B)) & r2_hidden(A,k1_relat_1(C)) <-> r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))))))) # label(t21_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 954 $T # label(t4_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 955 $T # label(t45_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 956 $T # label(t36_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 957 $T # label(t80_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 958 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) -> v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 959 $T # label(t104_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 960 (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(B),k1_relat_1(A)) & v2_funct_1(k5_relat_1(B,A)) -> v2_funct_1(B)))))) # label(t47_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 961 $T # label(t95_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 962 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B -(v1_xboole_0(k1_funct_1(A,B)) & r2_hidden(B,k1_relat_1(A)))) <-> v2_relat_1(A)))) # label(d15_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 963 $T # label(t129_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 964 (all A all B (r2_hidden(B,A) -> B = k1_funct_1(k6_relat_1(A),B))) # label(t35_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 965 $T # label(t102_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 966 $T # label(t106_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 967 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 968 $T # label(t11_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 969 (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]. 43.34/42.25 970 $T # label(t41_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 971 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k9_relat_1(B,k10_relat_1(B,A)),A))) # label(t145_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 972 (all A all B all C (v1_relat_1(C) & v1_funct_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]. 43.34/42.25 973 $T # label(t93_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 974 (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]. 43.34/42.25 975 $T # label(t74_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 976 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(C)) & k1_funct_1(C,A) = B <-> r2_hidden(k4_tarski(A,B),C)))) # label(t8_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 977 (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]. 43.34/42.25 978 (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(C,k1_funct_1(B,A)) = k1_funct_1(k5_relat_1(B,C),A)))))) # label(t23_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 979 (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]. 43.34/42.25 980 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_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]. 43.34/42.25 981 (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)) & k1_relat_1(C) = k1_relat_1(B) & k5_relat_1(B,A) = k5_relat_1(C,A) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) -> B = C))))) <-> v2_funct_1(A)))) # label(t49_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 982 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B ((all C (r2_hidden(C,B) <-> (exists D (k1_funct_1(A,D) = C & r2_hidden(D,k1_relat_1(A)))))) <-> k2_relat_1(A) = B)))) # label(d5_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 983 $T # label(d7_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 984 (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]. 43.34/42.25 985 (all A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) -> v1_setfam_1(k2_relat_1(A)))) # label(fc6_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 986 $T # label(t29_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 987 (all A all B (v1_funct_1(B) & v1_relat_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]. 43.34/42.25 988 $T # label(t110_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 989 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k3_xboole_0(k1_relat_1(B),A) = k1_relat_1(k5_relat_1(k6_relat_1(A),B)))) # label(t37_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 990 (all A all B k6_relat_1(k3_xboole_0(A,B)) = k5_relat_1(k6_relat_1(B),k6_relat_1(A))) # label(t43_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 991 (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]. 43.34/42.25 992 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((exists B (k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,B) & v1_funct_1(B) & v1_relat_1(B))) -> v2_funct_1(A)))) # label(t53_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 993 (all A (v1_relat_1(A) & v1_funct_1(A) -> k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A & k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A)) # label(t42_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 994 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_funct_1(C) -> k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)) = k9_relat_1(C,k3_xboole_0(A,B))))) # label(t121_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 995 $T # label(t1_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 996 $T # label(t136_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 997 (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]. 43.34/42.25 998 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_relat_1(k5_relat_1(A,k2_funct_1(A))) = k1_relat_1(A) & k1_relat_1(A) = k1_relat_1(k5_relat_1(A,k2_funct_1(A)))))) # label(t58_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.25 999 $T # label(t78_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1000 (all A all B all C (r2_hidden(A,f1_s2_funct_1) & p1_s2_funct_1(A,C) & p1_s2_funct_1(A,B) -> C = B)) & (all A -(r2_hidden(A,f1_s2_funct_1) & (all B -p1_s2_funct_1(A,B)))) -> (exists A (k1_relat_1(A) = f1_s2_funct_1 & (all B (r2_hidden(B,f1_s2_funct_1) -> p1_s2_funct_1(B,k1_funct_1(A,B)))) & v1_funct_1(A) & v1_relat_1(A))) # label(s2_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1001 (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)) & k2_relat_1(B) = k1_relat_1(A) -> v2_funct_1(B) & v2_funct_1(A)))))) # label(t48_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1002 $T # label(t115_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1003 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(A) & k2_relat_1(B) = k1_relat_1(A) & k6_relat_1(k2_relat_1(A)) = k5_relat_1(B,A) -> B = k2_funct_1(A)))))) # label(t64_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1004 $T # label(t6_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1005 $T # label(t108_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1006 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,B) -> k7_relat_1(C,A) = k7_relat_1(k7_relat_1(C,A),B) & k7_relat_1(k7_relat_1(C,B),A) = k7_relat_1(C,A)))) # label(t82_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1007 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k2_relat_1(k5_relat_1(C,B))) -> r2_hidden(A,k2_relat_1(B))))))) # label(t25_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1008 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_relat_1(A) = k1_relat_1(B) & (all C all D ((k1_funct_1(B,C) = D & r2_hidden(C,k2_relat_1(A)) -> C = k1_funct_1(A,D) & r2_hidden(D,k1_relat_1(A))) & (r2_hidden(D,k1_relat_1(A)) & k1_funct_1(A,D) = C -> D = k1_funct_1(B,C) & r2_hidden(C,k2_relat_1(A))))) <-> B = k2_funct_1(A))))))) # label(t54_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1009 (all A (v1_funct_1(A) & v1_relat_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]. 43.34/42.26 1010 (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]. 43.34/42.26 1011 $T # label(d3_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1012 (all A all B (v1_relat_1(A) & v1_funct_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]. 43.34/42.26 1013 (all A all B all C (p1_s1_funct_1(A,B) & p1_s1_funct_1(A,C) -> B = C)) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B all C (r2_hidden(k4_tarski(B,C),A) <-> p1_s1_funct_1(B,C) & r2_hidden(B,f1_s1_funct_1))))) # label(s1_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1014 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k2_relat_1(k2_funct_1(A)) = k1_relat_1(A) & k1_relat_1(k2_funct_1(A)) = k2_relat_1(A)))) # label(t55_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1015 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,A) & r2_hidden(B,k1_relat_1(C)) -> 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]. 43.34/42.26 1016 $T # label(t77_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1017 $T # label(t114_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1018 (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) -> (A = k2_relat_1(B) & k1_relat_1(D) = A & k5_relat_1(B,C) = k5_relat_1(B,D) & k1_relat_1(C) = A -> D = C))))))) # label(t156_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1019 $T # label(t131_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1020 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k1_relat_1(k8_relat_1(A,B)),k1_relat_1(B)) & r1_tarski(k2_relat_1(k8_relat_1(A,B)),k2_relat_1(B)))) # label(t89_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1021 $T # label(t3_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1022 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_tarski(A) -> k1_tarski(k1_funct_1(B,A)) = k2_relat_1(B)))) # label(t14_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1023 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C -(r2_hidden(C,A) & (all D -(k1_funct_1(B,D) = C & r2_hidden(D,k1_relat_1(B)))))) -> r1_tarski(A,k2_relat_1(B))))) # label(t19_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1024 (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]. 43.34/42.26 1025 $T # label(t75_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1026 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(A,k1_relat_1(C)) -> k9_relat_1(C,k2_tarski(A,B)) = k2_tarski(k1_funct_1(C,A),k1_funct_1(C,B))))) # label(t118_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1027 $T # label(t96_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1028 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & k2_relat_1(A) = k1_relat_1(B) & (all C all D (r2_hidden(C,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(B)) -> (C = k1_funct_1(B,D) <-> D = k1_funct_1(A,C)))) & k2_relat_1(B) = k1_relat_1(A) -> B = k2_funct_1(A)))))) # label(t60_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1029 (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]. 43.34/42.26 1030 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k1_relat_1(k7_relat_1(C,A))) -> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)))) # label(t70_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1031 (all A ((all B all C all D (r2_hidden(k4_tarski(B,D),A) & r2_hidden(k4_tarski(B,C),A) -> D = C)) <-> v1_funct_1(A))) # label(d1_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1032 (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]. 43.34/42.26 1033 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1034 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) & 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]. 43.34/42.26 1035 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k6_relat_1(A) = B <-> (all C (r2_hidden(C,A) -> C = k1_funct_1(B,C))) & k1_relat_1(B) = A))) # label(t34_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1036 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k9_relat_1(B,k1_tarski(A)) = k1_tarski(k1_funct_1(B,A))))) # label(t117_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1037 $T # label(t91_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1038 $T # label(t127_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1039 $T # label(t81_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1040 (exists A (v1_funct_1(A) & (all B (r2_hidden(B,f1_s3_funct_1) -> k1_funct_1(A,B) = f2_s3_funct_1(B))) & k1_relat_1(A) = f1_s3_funct_1 & v1_relat_1(A))) # label(s3_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1041 (all A ((all B all C all D (r2_hidden(k4_tarski(B,C),A) & r2_hidden(k4_tarski(B,D),A) -> D = C)) & (all B -((all C all D B != k4_tarski(C,D)) & r2_hidden(B,A))) -> v1_funct_1(A) & v1_relat_1(A))) # label(t2_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1042 (all A all B (v1_relat_1(B) -> ((all C -(r2_hidden(C,A) & k1_xboole_0 = k10_relat_1(B,k1_tarski(C)))) -> r1_tarski(A,k2_relat_1(B))))) # label(t143_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1043 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,B) & k2_relat_1(A) = k1_relat_1(B) & v2_funct_1(A) -> B = k2_funct_1(A)))))) # label(t63_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1044 (exists A (v1_relat_1(A) & v1_funct_1(A) & f1_s4_funct_1 = k1_relat_1(A) & (all B (m1_subset_1(B,f1_s4_funct_1) -> k1_funct_1(A,B) = f2_s4_funct_1(B))))) # label(s4_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1045 $T # label(t128_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1046 $T # label(t133_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1047 (all A (k1_xboole_0 != A -> (all B exists C (v1_funct_1(C) & A = k1_relat_1(C) & k1_tarski(B) = k2_relat_1(C) & v1_relat_1(C))))) # label(t15_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1048 $T # label(t107_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1049 (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]. 43.34/42.26 1050 (exists A (v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1051 $T # label(t88_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1052 (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) & r1_tarski(k2_relat_1(C),A) & B = k5_relat_1(C,B) & v2_funct_1(B) -> C = k6_relat_1(A)))))) # label(t50_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1053 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,B) -> k8_relat_1(A,C) = k8_relat_1(A,k8_relat_1(B,C)) & k8_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,C)))) # label(t97_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1054 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) & r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k2_funct_1(B),k1_funct_1(B,A)) = A & k1_funct_1(k5_relat_1(B,k2_funct_1(B)),A) = A))) # label(t56_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1055 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(k5_relat_1(k6_relat_1(A),C),B) = k1_funct_1(C,B)))) # label(t38_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1056 $T # label(t113_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1057 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (k9_relat_1(A,B) = C <-> (all D ((exists E (r2_hidden(E,k1_relat_1(A)) & D = k1_funct_1(A,E) & r2_hidden(E,B))) <-> r2_hidden(D,C))))))) # label(d12_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1058 $T # label(t83_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1059 $T # label(t7_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1060 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k7_relat_1(C,A) = B <-> k3_xboole_0(k1_relat_1(C),A) = k1_relat_1(B) & (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D)))))))) # label(t68_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1061 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,k2_relat_1(C)) & r1_tarski(B,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]. 43.34/42.26 1062 (all A (v1_funct_1(A) & v1_relat_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]. 43.34/42.26 1063 $T # label(t94_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1064 $T # label(t101_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1065 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),A) & (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (A = k1_relat_1(D) & k5_relat_1(B,D) = k5_relat_1(B,C) & A = k1_relat_1(C) -> D = C))))) -> A = k2_relat_1(B)))) # label(t33_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1066 $T # label(t32_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1067 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k3_xboole_0(A,k9_relat_1(C,B)) = k9_relat_1(k8_relat_1(A,C),B))) # label(t126_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1068 $T # label(t13_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1069 (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]. 43.34/42.26 1070 (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(k5_relat_1(C,k6_relat_1(A))))))) # label(t40_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1071 $T # label(t141_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1072 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k1_relat_1(k7_relat_1(B,A)),k1_relat_1(B)) & r1_tarski(k2_relat_1(k7_relat_1(B,A)),k2_relat_1(B)))) # label(t76_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1073 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1074 (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]. 43.34/42.26 1075 $T # label(t92_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1076 (all A all B all C (v1_relat_1(C) & v1_funct_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]. 43.34/42.26 1077 $T # label(t90_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1078 (all A ((all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(B) = A & k1_relat_1(C) = A -> C = B))))) -> A = k1_xboole_0)) # label(t16_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1079 $T # label(t100_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1080 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((-r2_hidden(B,k1_relat_1(A)) -> (C = k1_funct_1(A,B) <-> C = k1_xboole_0)) & (r2_hidden(B,k1_relat_1(A)) -> (C = k1_funct_1(A,B) <-> r2_hidden(k4_tarski(B,C),A))))))) # label(d4_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1081 $T # label(t79_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1082 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> k6_relat_1(k2_relat_1(A)) = k5_relat_1(k2_funct_1(A),A) & k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,k2_funct_1(A))))) # label(t61_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1083 $T # label(t10_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1084 $T # label(t112_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1085 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C (k1_funct_1(A,B) = k1_funct_1(A,C) & r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,k1_relat_1(A)) -> B = C)) <-> v2_funct_1(A)))) # label(d8_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1086 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k2_relat_1(B)) -> A = k9_relat_1(B,k10_relat_1(B,A))))) # label(t147_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1087 $T # label(t28_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1088 (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]. 43.34/42.26 1089 (all A all B (v1_relat_1(B) & v1_funct_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]. 43.34/42.26 1090 (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 (r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) & r2_hidden(D,k1_relat_1(A)) <-> r2_hidden(D,k1_relat_1(C)))) & (all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(B,k1_funct_1(A,D)) = k1_funct_1(C,D))) -> C = k5_relat_1(A,B)))))))) # label(t20_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1091 $T # label(t26_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1092 (all A all B all C (v1_funct_1(C) & v1_relat_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]. 43.34/42.26 1093 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C k9_relat_1(A,k3_xboole_0(B,C)) = k3_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))) -> v2_funct_1(A)))) # label(t122_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1094 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k4_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)) = k10_relat_1(C,k4_xboole_0(A,B)))) # label(t138_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1095 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(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]. 43.34/42.26 1096 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k8_relat_1(A,C) = B <-> (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) & (all D (r2_hidden(k1_funct_1(C,D),A) & r2_hidden(D,k1_relat_1(C)) <-> r2_hidden(D,k1_relat_1(B))))))))) # label(t85_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1097 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & v2_funct_1(B) -> v2_funct_1(k5_relat_1(A,B))))))) # label(t46_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1098 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1099 $T # label(d11_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1100 $T # label(t105_funct_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1101 (all A (v1_relat_1(A) -> (r1_tarski(k3_xboole_0(A,k4_relat_1(A)),k6_relat_1(k1_relat_1(A))) <-> v4_relat_2(A)))) # label(t39_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1102 (all A (v1_relat_1(A) -> (all B ((all C -(r2_hidden(k4_tarski(C,C),A) & r2_hidden(C,B))) <-> r2_relat_2(A,B))))) # label(d2_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1103 $T # label(t5_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1104 (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]. 43.34/42.26 1105 (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]. 43.34/42.26 1106 $T # label(t16_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1107 (all A (v1_relat_1(A) -> (r7_relat_2(A,k3_relat_1(A)) <-> v7_relat_2(A)))) # label(d15_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1108 (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]. 43.34/42.26 1109 $T # label(t4_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1110 (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]. 43.34/42.26 1111 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v5_relat_2(A) & v5_relat_2(B) -> v5_relat_2(k3_xboole_0(A,B))))))) # label(t37_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1112 (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]. 43.34/42.26 1113 (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]. 43.34/42.26 1114 $T # label(t3_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1115 (all A (v1_relat_1(A) -> (v6_relat_2(A) <-> r1_tarski(k4_xboole_0(k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A)),k6_relat_1(k3_relat_1(A))),k2_xboole_0(A,k4_relat_1(A)))))) # label(t45_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1116 (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]. 43.34/42.26 1117 (all A (v1_relat_1(A) -> (v5_relat_2(A) -> v4_relat_2(A) & v2_relat_2(A)))) # label(t26_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1118 (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]. 43.34/42.26 1119 $T # label(t2_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1120 (all A (v1_relat_1(A) -> (r8_relat_2(A,k3_relat_1(A)) <-> v8_relat_2(A)))) # label(d16_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1121 (all A (v1_relat_1(A) -> (v2_relat_2(A) -> v2_relat_2(k4_relat_1(A))))) # label(t28_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1122 (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]. 43.34/42.26 1123 (all A (v4_relat_2(k6_relat_1(A)) & v1_relat_2(k6_relat_1(A)))) # label(t24_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1124 $T # label(t21_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1125 $T # label(t9_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1126 (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]. 43.34/42.26 1127 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v1_relat_2(A) & v1_relat_2(B) -> v1_relat_2(k3_xboole_0(A,B)) & v1_relat_2(k2_xboole_0(A,B))))))) # label(t31_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1128 $T # label(t11_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1129 (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]. 43.34/42.26 1130 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_relat_2(B) & v2_relat_2(A) -> v2_relat_2(k2_xboole_0(A,B)) & v2_relat_2(k3_xboole_0(A,B))))))) # label(t32_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1131 (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]. 43.34/42.26 1132 $T # label(t13_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1133 (all A (v3_relat_2(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)))) # label(t23_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1134 (all A (v1_relat_1(A) -> (v2_relat_2(A) <-> r2_relat_2(A,k3_relat_1(A))))) # label(d10_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1135 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(k4_tarski(D,C),A) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(D,B) & r2_hidden(C,B))) <-> r5_relat_2(A,B))))) # label(d5_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1136 $T # label(t8_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1137 $T # label(t14_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1138 (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]. 43.34/42.26 1139 (all A (v1_relat_1(A) -> (all B (r7_relat_2(A,B) <-> (all C all D -(-r2_hidden(k4_tarski(C,D),A) & -r2_hidden(k4_tarski(D,C),A) & r2_hidden(D,B) & r2_hidden(C,B))))))) # label(d7_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1140 (all A (v1_relat_1(A) -> (v2_relat_2(A) <-> r1_xboole_0(k6_relat_1(k3_relat_1(A)),A)))) # label(t18_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1141 $T # label(t1_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1142 $T # label(t15_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1143 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v3_relat_2(A) & v3_relat_2(B) -> v3_relat_2(k2_xboole_0(A,B)) & v3_relat_2(k4_xboole_0(A,B)) & v3_relat_2(k3_xboole_0(A,B))))))) # label(t35_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1144 (all A (v1_relat_1(A) -> (r1_relat_2(A,k3_relat_1(A)) <-> v1_relat_2(A)))) # label(d9_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1145 (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]. 43.34/42.26 1146 $T # label(t7_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1147 (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]. 43.34/42.26 1148 (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]. 43.34/42.26 1149 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) <-> (all C all D all E (r2_hidden(E,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,E),A) & r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_tarski(C,E),A))))))) # label(d8_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1150 (all A (v1_relat_1(A) -> (v1_relat_2(A) -> k1_relat_1(k4_relat_1(A)) = k1_relat_1(A) & k2_relat_1(A) = k2_relat_1(k4_relat_1(A))))) # label(t29_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1151 (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]. 43.34/42.26 1152 $T # label(t12_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1153 (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]. 43.34/42.26 1154 $T # label(t6_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1155 (all A (v1_relat_1(A) -> (all B ((all C all D (r2_hidden(C,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(D,B) -> r2_hidden(k4_tarski(D,C),A))) <-> r3_relat_2(A,B))))) # label(d3_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1156 (all A (v1_relat_1(A) -> (v3_relat_2(A) <-> A = k4_relat_1(A)))) # label(t30_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1157 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(C,B) & -r2_hidden(k4_tarski(D,C),A) & -r2_hidden(k4_tarski(C,D),A) & C != D & r2_hidden(D,B))) <-> r6_relat_2(A,B))))) # label(d6_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1158 (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(C,D),A) & r2_hidden(k4_tarski(D,C),A) & r2_hidden(D,B) -> C = D)))))) # label(d4_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1159 (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]. 43.34/42.26 1160 $T # label(t10_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1161 (all A all B (v1_relat_1(B) -> (r5_relat_2(k4_xboole_0(B,k6_relat_1(A)),A) <-> r4_relat_2(B,A)))) # label(t19_relat_2) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1162 (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]. 43.34/42.26 1163 (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]. 43.34/42.26 1164 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r1_ordinal1(A,B) | r2_hidden(B,A))))) # label(t26_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1165 (exists A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A))) # label(rc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1166 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> (r1_ordinal1(A,B) <-> r1_tarski(A,B)))) # label(redefinition_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1167 (all A exists B m1_ordinal1(B,A)) # label(existence_m1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1168 (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]. 43.34/42.26 1169 (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]. 43.34/42.26 1170 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1171 (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]. 43.34/42.26 1172 (all A k2_xboole_0(A,k1_tarski(A)) = k1_ordinal1(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1173 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_xboole_0(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1174 $T # label(t43_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1175 (all A all B all C all D -(r2_hidden(B,C) & r2_hidden(D,A) & r2_hidden(C,D) & r2_hidden(A,B))) # label(t4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1176 (all A ((all B (r2_hidden(B,A) -> v1_funct_1(B) & v5_ordinal1(B) & v1_relat_1(B))) & v6_ordinal1(A) -> v1_relat_1(k3_tarski(A)) & v1_funct_1(k3_tarski(A)) & v5_ordinal1(k3_tarski(A)))) # label(t49_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1177 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> v2_ordinal1(k1_relat_1(A)) & v3_ordinal1(k1_relat_1(A)) & v1_ordinal1(k1_relat_1(A)))) # label(fc5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1178 (all A (v3_ordinal1(A) -> -v1_xboole_0(k1_ordinal1(A)) & v1_ordinal1(k1_ordinal1(A)) & v2_ordinal1(k1_ordinal1(A)) & v3_ordinal1(k1_ordinal1(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1179 $T # label(t11_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1180 (all A ((all B all C -(r2_hidden(B,A) & r2_hidden(C,A) & -r2_hidden(B,C) & -r2_hidden(C,B) & B != C)) <-> v2_ordinal1(A))) # label(d3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1181 (exists A (v1_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A) & -v1_xboole_0(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1182 $T # label(t18_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1183 (all A (v1_ordinal1(A) & v2_ordinal1(A) <-> v3_ordinal1(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1184 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> v3_ordinal1(A)))) # label(t23_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1185 (all A all B -(r1_tarski(B,A) & r2_hidden(A,B))) # label(t7_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1186 (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]. 43.34/42.26 1187 (all A all B (v3_ordinal1(B) -> -(k1_xboole_0 != A & (all C (v3_ordinal1(C) -> -((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> r1_ordinal1(C,D)))) & r2_hidden(C,A)))) & r1_tarski(A,B)))) # label(t32_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1188 (all A (v1_ordinal1(A) & v2_ordinal1(A) -> v3_ordinal1(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1189 (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 ((exists C ((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> f3_s5_ordinal1(k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & k1_relat_1(C) = A & f3_s5_ordinal1(C) = B & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) <-> f2_s5_ordinal1(A) = B)))) -> (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]. 43.34/42.26 1190 $T # label(t28_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1191 (all A (v3_ordinal1(A) -> v2_ordinal1(A) & v1_ordinal1(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1192 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r3_xboole_0(A,B))))) # label(t25_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1193 (all A -(all B (v3_ordinal1(B) -> r2_hidden(B,A)))) # label(t38_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1194 $T # label(t17_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1195 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(B,A) | r1_ordinal1(A,B))) # label(connectedness_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1196 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_hidden(B,A) & A != B & -r2_hidden(A,B)))))) # label(t24_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1197 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1198 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_ordinal1(A,B) <-> r2_hidden(A,k1_ordinal1(B))))))) # label(t34_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1199 $T # label(t44_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1200 $T # label(t1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1201 $T # label(t2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1202 (all A all B all C -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(C,A))) # label(t3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1203 (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]. 43.34/42.26 1204 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_xboole_0(B,A) & B != A & -r2_xboole_0(A,B)))))) # label(t50_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1205 (all A k1_ordinal1(A) != A) # label(t14_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1206 (all A all B (k1_ordinal1(B) = k1_ordinal1(A) -> A = B)) # label(t12_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1207 (all A (v3_ordinal1(A) -> v1_ordinal1(k3_tarski(A)) & v2_ordinal1(k3_tarski(A)) & v3_ordinal1(k3_tarski(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1208 $T # label(t16_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1209 (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]. 43.34/42.26 1210 (all A m1_ordinal1(k1_xboole_0,A)) # label(t45_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1211 $T # label(d5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1212 (all A all B (v1_relat_1(A) & v3_ordinal1(B) & v5_ordinal1(A) & v1_funct_1(A) -> k2_ordinal1(A,B) = k7_relat_1(A,B))) # label(redefinition_k2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1213 (all A all B (v5_ordinal1(A) & v3_ordinal1(B) & v1_funct_1(A) & v1_relat_1(A) -> m1_ordinal1(k2_ordinal1(A,B),k2_relat_1(A)))) # label(dt_k2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1214 (all A (v3_ordinal1(A) -> ((all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> r2_hidden(k1_ordinal1(B),A)))) <-> v4_ordinal1(A)))) # label(t41_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1215 (all A -(all B (v3_ordinal1(B) <-> r2_hidden(B,A)))) # label(t37_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1216 (all A all B all C all D all E -(r2_hidden(B,C) & r2_hidden(C,D) & r2_hidden(D,E) & r2_hidden(E,A) & r2_hidden(A,B))) # label(t5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1217 (all A ((all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r3_xboole_0(B,C))) <-> v6_ordinal1(A))) # label(d9_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1218 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v3_ordinal1(k1_relat_1(A)) -> m1_ordinal1(A,k2_relat_1(A))))) # label(t46_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1219 $T # label(t20_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1220 (all A r2_hidden(A,k1_ordinal1(A))) # label(t10_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1221 (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]. 43.34/42.26 1222 (all A all B (r2_hidden(A,k1_ordinal1(B)) <-> A = B | r2_hidden(A,B))) # label(t13_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1223 (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]. 43.34/42.26 1224 (exists A (v1_relat_1(A) & (all B (v3_ordinal1(B) -> (all C (v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C) -> (k2_ordinal1(A,B) = C & r2_hidden(B,f1_s4_ordinal1) -> f2_s4_ordinal1(C) = k1_funct_1(A,B)))))) & k1_relat_1(A) = f1_s4_ordinal1 & v5_ordinal1(A) & v1_funct_1(A))) # label(s4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1225 (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]. 43.34/42.26 1226 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1227 (all A (k3_tarski(A) = A <-> v4_ordinal1(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1228 $T # label(t40_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1229 (all A all B all C all D all E all F -(r2_hidden(B,C) & r2_hidden(E,F) & r2_hidden(F,A) & r2_hidden(D,E) & r2_hidden(C,D) & r2_hidden(A,B))) # label(t6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1230 (all A all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (m1_ordinal1(B,A) <-> r1_tarski(k2_relat_1(B),A)))) # label(d8_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1231 $T # label(t9_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1232 $T # label(t8_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1233 (all A -v1_xboole_0(k1_ordinal1(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1234 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)))) # label(t30_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1235 (exists A (p1_s1_ordinal1(A) & v3_ordinal1(A))) -> (exists A (p1_s1_ordinal1(A) & (all B (v3_ordinal1(B) -> (p1_s1_ordinal1(B) -> r1_ordinal1(A,B)))) & v3_ordinal1(A))) # label(s1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1236 (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]. 43.34/42.26 1237 $T # label(t15_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1238 (all A (v1_xboole_0(A) -> v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1239 (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]. 43.34/42.26 1240 (all A (v1_ordinal1(A) <-> (all B (r2_hidden(B,A) -> r1_tarski(B,A))))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.26 1241 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r1_ordinal1(k1_ordinal1(A),B)))))) # label(t33_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1242 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v1_ordinal1(C) -> (r2_hidden(A,B) & r2_hidden(C,A) -> r2_hidden(C,B)))))))) # label(t19_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1243 (all A (v3_ordinal1(A) -> v3_ordinal1(k1_ordinal1(A)))) # label(t29_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1244 f1_s3_ordinal1 = k1_relat_1(f4_s3_ordinal1) & (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k2_ordinal1(f4_s3_ordinal1,A) = B & r2_hidden(A,f1_s3_ordinal1) -> f2_s3_ordinal1(B) = k1_funct_1(f4_s3_ordinal1,A)))))) & (all A (v3_ordinal1(A) -> (all B (v1_funct_1(B) & v5_ordinal1(B) & v1_relat_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)))))) & f1_s3_ordinal1 = k1_relat_1(f3_s3_ordinal1) -> f3_s3_ordinal1 = f4_s3_ordinal1 # label(s3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1245 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_tarski(A,B) & r2_hidden(B,C) -> r2_hidden(A,C)))))))) # label(t22_ordinal1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1246 $T # label(t7_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1247 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & v1_relat_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]. 43.34/42.27 1248 (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]. 43.34/42.27 1249 (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 -(k9_relat_1(C,k1_wellord1(A,D)) = k1_wellord1(B,E) & r2_hidden(E,k3_relat_1(B))))))))))))) # label(t60_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1250 $T # label(t4_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1251 (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]. 43.34/42.27 1252 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(B,k3_relat_1(C)) & (all D (r2_hidden(D,k1_wellord1(C,A)) -> r2_hidden(k4_tarski(D,B),C) & B != D)) & r2_hidden(A,k3_relat_1(C)) -> r2_hidden(k4_tarski(A,B),C)))) # label(t42_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1253 (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) -> (all D -(r2_hidden(D,k3_relat_1(A)) & (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))))))))))))) # label(t61_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1254 $T # label(t14_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 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]. 43.34/42.27 1256 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r4_wellord1(A,B) <-> (exists C (v1_relat_1(C) & r3_wellord1(A,B,C) & v1_funct_1(C)))))))) # label(d8_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1257 (all A all B all C all D (v1_relat_1(D) -> (all E (v1_relat_1(E) -> (r2_hidden(A,k3_relat_1(D)) & r2_hidden(B,k3_relat_1(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)) & v2_wellord1(E) & v2_wellord1(D) -> r1_tarski(k1_wellord1(E,C),k1_wellord1(E,B)) & r2_hidden(k4_tarski(C,B),E)))))) # label(t62_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1258 (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]. 43.34/42.27 1259 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) -> k3_relat_1(k2_wellord1(B,k1_wellord1(B,A))) = k1_wellord1(B,A)))) # label(t40_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1260 (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]. 43.34/42.27 1261 (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]. 43.34/42.27 1262 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k3_wellord1(A,B)) & v1_funct_1(k3_wellord1(A,B)))) # label(dt_k3_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1263 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1264 (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]. 43.34/42.27 1265 (all A (v1_relat_1(A) -> (v8_relat_2(A) & v1_wellord1(A) & v6_relat_2(A) & v4_relat_2(A) & v1_relat_2(A) <-> v2_wellord1(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1266 (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]. 43.34/42.27 1267 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k3_relat_1(C)) & r2_hidden(B,k3_relat_1(C)) & v2_wellord1(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]. 43.34/42.27 1268 $T # label(t44_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1269 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> k3_relat_1(A) = k1_xboole_0 | (all B -((all C -(r2_hidden(C,k3_relat_1(A)) & r2_hidden(k4_tarski(B,C),A) & (all D -(r2_hidden(k4_tarski(B,D),A) & D != B & -r2_hidden(k4_tarski(C,D),A) & r2_hidden(D,k3_relat_1(A)))))) & (exists C (-r2_hidden(k4_tarski(C,B),A) & r2_hidden(C,k3_relat_1(A)))) & r2_hidden(B,k3_relat_1(A))))))) # label(t12_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1270 $T # label(t46_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1271 $T # label(t56_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1272 (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]. 43.34/42.27 1273 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> (all C -(k1_xboole_0 != C & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),B))) & r2_hidden(D,C))) & r1_tarski(C,A)))))) # label(t9_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1274 (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]. 43.34/42.27 1275 (all A (v1_relat_1(A) -> A = k2_wellord1(A,k3_relat_1(A)))) # label(t30_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1276 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -((all C -(r2_hidden(C,B) & (all D (r2_hidden(D,B) -> r2_hidden(k4_tarski(C,D),A))))) & k1_xboole_0 != B & r1_tarski(B,k3_relat_1(A))))))) # label(t10_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1277 (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]. 43.34/42.27 1278 (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]. 43.34/42.27 1279 (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,D) != k1_funct_1(C,E) | E = D))))))))) # label(t45_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1280 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(B,k1_wellord1(C,A)) & r2_hidden(A,k3_relat_1(C)) -> k1_wellord1(C,B) = k1_wellord1(k2_wellord1(C,k1_wellord1(C,A)),B)))) # label(t35_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1281 $T # label(t1_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1282 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) <-> v2_funct_1(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) & r2_hidden(E,k3_relat_1(A)) & r2_hidden(D,k3_relat_1(A)))) & k3_relat_1(B) = k2_relat_1(C) & k1_relat_1(C) = k3_relat_1(A)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1283 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) & r4_relat_2(A,B) & r6_relat_2(A,B) & r1_wellord1(A,B) & r1_relat_2(A,B) <-> r2_wellord1(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1284 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_wellord1(A) & r4_wellord1(A,B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k3_wellord1(A,B) = C <-> r3_wellord1(A,B,C))))))))) # label(d9_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1285 (all A (v1_relat_1(A) -> -(v2_wellord1(A) & k3_relat_1(A) != k1_xboole_0 & (all B -((all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(B,C),A))) & r2_hidden(B,k3_relat_1(A))))))) # label(t11_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1286 (all A (v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_wellord1(A) & k1_relat_1(B) = k3_relat_1(A) & (all C all D (r2_hidden(k4_tarski(C,D),A) -> D = C | 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))) & r1_tarski(k2_relat_1(B),k3_relat_1(A)) -> (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(C,k1_funct_1(B,C)),A)))))))) # label(t43_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1287 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (v2_wellord1(B) & r1_tarski(A,k3_relat_1(B)) & r3_wellord1(B,C,D) -> r3_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A)),k7_relat_1(D,A)) & r4_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A)))))))))) # label(t59_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1288 (all A all B (v1_relat_1(B) -> r2_hidden(A,k3_relat_1(B)) | k1_xboole_0 = k1_wellord1(B,A))) # label(t2_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1289 (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]. 43.34/42.27 1290 (all A (v1_relat_1(A) -> (all B all C (C = k1_wellord1(A,B) <-> (all D (r2_hidden(D,C) <-> D != B & r2_hidden(k4_tarski(D,B),A))))))) # label(d1_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1291 (all A (v1_relat_1(A) -> r4_wellord1(A,A))) # label(t48_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1292 (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]. 43.34/42.27 1293 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> -(v2_wellord1(A) & -r4_wellord1(A,B) & (all C -(r2_hidden(C,k3_relat_1(A)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),B))) & (all C -(r2_hidden(C,k3_relat_1(B)) & r4_wellord1(A,k2_wellord1(B,k1_wellord1(B,C))))) & v2_wellord1(B)))))) # label(t63_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1294 (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]. 43.34/42.27 1295 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r3_wellord1(A,B,C) -> (v1_wellord1(A) -> v1_wellord1(B)) & (v4_relat_2(A) -> v4_relat_2(B)) & (v6_relat_2(A) -> v6_relat_2(B)) & (v8_relat_2(A) -> v8_relat_2(B)) & (v1_relat_2(A) -> v1_relat_2(B))))))))) # label(t53_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1296 (all A (v1_relat_1(A) -> ((all B -(r1_tarski(B,k3_relat_1(A)) & k1_xboole_0 != B & (all C -(r1_xboole_0(k1_wellord1(A,C),B) & r2_hidden(C,B))))) <-> v1_wellord1(A)))) # label(d2_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1297 (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]. 43.34/42.27 1298 (all A all B (v1_relat_1(B) -> k7_relat_1(k8_relat_1(A,B),A) = k2_wellord1(B,A))) # label(t17_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1299 (all A all B all C (v1_relat_1(C) -> -(v2_wellord1(C) & r2_hidden(B,k3_relat_1(C)) & r4_wellord1(k2_wellord1(C,k1_wellord1(C,A)),k2_wellord1(C,k1_wellord1(C,B))) & A != B & r2_hidden(A,k3_relat_1(C))))) # label(t58_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1300 (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]. 43.34/42.27 1301 (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]. 43.34/42.27 1302 (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]. 43.34/42.27 1303 $T # label(t6_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1304 (all A all B all C (v1_relat_1(C) -> (r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C)) & v2_wellord1(C) -> (r2_hidden(k4_tarski(A,B),C) <-> r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)))))) # label(t37_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1305 (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]. 43.34/42.27 1306 (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]. 43.34/42.27 1307 (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]. 43.34/42.27 1308 (all A all B (v1_relat_1(B) -> k2_wellord1(B,A) = k8_relat_1(A,k7_relat_1(B,A)))) # label(t18_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1309 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) & r1_tarski(A,k3_relat_1(B)) -> (-((all C -(r2_hidden(C,k3_relat_1(B)) & k1_wellord1(B,C) = A)) & k3_relat_1(B) != A) <-> (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]. 43.34/42.27 1310 $T # label(t34_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1311 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,C) & r2_hidden(A,k2_zfmisc_1(B,B)) <-> r2_hidden(A,k2_wellord1(C,B))))) # label(t16_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1312 (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]. 43.34/42.27 1313 $T # label(t3_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1314 (all A all B (v1_relat_1(B) -> r1_tarski(k2_wellord1(B,A),k2_zfmisc_1(A,A)) & r1_tarski(k2_wellord1(B,A),B))) # label(t15_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1315 (all A (v1_relat_1(A) -> (all B ((all C -(r1_tarski(C,B) & C != k1_xboole_0 & (all D -(r1_xboole_0(k1_wellord1(A,D),C) & r2_hidden(D,C))))) <-> r1_wellord1(A,B))))) # label(d3_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1316 (all A all B (v1_relat_1(B) -> -((all C -(r4_wellord1(k2_wellord1(B,k1_wellord1(B,C)),k2_wellord1(B,A)) & r2_hidden(C,k3_relat_1(B)))) & -r4_wellord1(B,k2_wellord1(B,A)) & v2_wellord1(B) & r1_tarski(A,k3_relat_1(B))))) # label(t64_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1317 (all A (v1_relat_1(A) -> (r2_wellord1(A,k3_relat_1(A)) <-> v2_wellord1(A)))) # label(t8_wellord1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1318 (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]. 43.34/42.27 1319 (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]. 43.34/42.27 1320 (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]. 43.34/42.27 1321 (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]. 43.34/42.27 1322 (all A m2_relset_1(k6_relat_1(A),A,A)) # label(t29_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1323 (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) & k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C))) # label(t38_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1324 (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]. 43.34/42.27 1325 (all A all B all C all D (m2_relset_1(D,A,B) -> (r1_tarski(B,C) -> D = k9_relset_1(A,B,C,D)))) # label(t36_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1326 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) -> k5_relat_1(E,F) = k7_relset_1(A,B,C,D,E,F))) # label(redefinition_k7_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1327 (all A all B all C (m1_relset_1(C,A,B) -> m1_subset_1(k5_relset_1(A,B,C),k1_zfmisc_1(B)))) # label(dt_k5_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1328 (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]. 43.34/42.27 1329 (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]. 43.34/42.27 1330 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k2_relset_1(A,B,C,D) = k3_xboole_0(C,D))) # label(redefinition_k2_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1331 (all A all B all C (m1_relset_1(C,A,B) -> k4_relset_1(A,B,C) = k1_relat_1(C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1332 $T # label(t43_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1333 $T # label(t5_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1334 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) -> (all D (m1_subset_1(D,A) -> (r2_hidden(D,k4_relset_1(A,B,C)) <-> (exists E (m1_subset_1(E,B) & r2_hidden(k4_tarski(D,E),C)))))))))))) # label(t47_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1335 (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]. 43.34/42.27 1336 $T # label(t44_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1337 (all A all B all C all D all E (m2_relset_1(E,A,C) -> (r1_tarski(A,B) & r1_tarski(C,D) -> m2_relset_1(E,B,D)))) # label(t17_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1338 (all A all B all C (m2_relset_1(C,B,A) -> ((all D -(r2_hidden(D,B) & (all E -r2_hidden(k4_tarski(D,E),C)))) <-> B = k4_relset_1(B,A,C)))) # label(t22_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1339 (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]. 43.34/42.27 1340 $T # label(t20_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1341 (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,D,C) = k1_relset_1(A,B,C,D))) # label(commutativity_k1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1342 (all A all B all C (m1_relset_1(C,A,B) <-> m2_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1343 (all A all B all C all D (m2_relset_1(D,A,B) -> -((all E all F -(k4_tarski(E,F) = C & r2_hidden(E,A) & r2_hidden(F,B))) & r2_hidden(C,D)))) # label(t6_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1344 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k2_relset_1(A,B,D,C) = k2_relset_1(A,B,C,D))) # label(commutativity_k2_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1345 (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]. 43.34/42.27 1346 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,C,A) -> (all E (m1_subset_1(E,A) -> ((exists F (r2_hidden(F,B) & r2_hidden(k4_tarski(F,E),D) & m1_subset_1(F,C))) <-> r2_hidden(E,k10_relset_1(C,A,D,B))))))))))))) # label(t52_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1347 (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]. 43.34/42.27 1348 (all A all B all C all D (m2_relset_1(D,B,A) -> (r1_tarski(B,C) -> D = k8_relset_1(B,A,D,C)))) # label(t34_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1349 (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]. 43.34/42.27 1350 (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]. 43.34/42.27 1351 (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]. 43.34/42.27 1352 (all A all B all C (m2_relset_1(C,A,B) -> (m2_relset_1(C,k1_xboole_0,B) -> k1_xboole_0 = C))) # label(t26_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1353 $T # label(t42_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1354 (all A all B all C (m2_relset_1(C,A,B) -> k5_relset_1(B,A,k6_relset_1(A,B,C)) = k4_relset_1(A,B,C) & k5_relset_1(A,B,C) = k4_relset_1(B,A,k6_relset_1(A,B,C)))) # label(t24_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1355 (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]. 43.34/42.27 1356 $T # label(t7_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1357 $T # label(t40_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1358 (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]. 43.34/42.27 1359 (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]. 43.34/42.27 1360 (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]. 43.34/42.27 1361 (all A all B m2_relset_1(k1_xboole_0,A,B)) # label(t25_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1362 (all A all B all C (m2_relset_1(C,B,A) -> (r1_tarski(k6_relat_1(B),C) -> B = k4_relset_1(B,A,C) & r1_tarski(B,k5_relset_1(B,A,C))))) # label(t31_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1363 (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]. 43.34/42.27 1364 $T # label(t18_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1365 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1366 (exists A (m2_relset_1(A,f1_s1_relset_1,f2_s1_relset_1) & (all B all C (r2_hidden(C,f2_s1_relset_1) & p1_s1_relset_1(B,C) & r2_hidden(B,f1_s1_relset_1) <-> r2_hidden(k4_tarski(B,C),A))))) # label(s1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1367 (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]. 43.34/42.27 1368 (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]. 43.34/42.27 1369 (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]. 43.34/42.27 1370 (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]. 43.34/42.27 1371 (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]. 43.34/42.27 1372 (all A all B all C (m1_relset_1(C,A,B) <-> r1_tarski(C,k2_zfmisc_1(A,B)))) # label(d1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1373 $T # label(t1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1374 (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]. 43.34/42.27 1375 (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]. 43.34/42.27 1376 (all A all B all C (m2_relset_1(C,B,A) -> k5_relset_1(B,A,C) = k10_relset_1(B,A,C,k11_relset_1(B,A,C,A)) & k4_relset_1(B,A,C) = k11_relset_1(B,A,C,k10_relset_1(B,A,C,B)))) # label(t39_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1377 (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]. 43.34/42.27 1378 (all A all B all C (m2_relset_1(C,A,B) -> r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B))) # label(t12_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1379 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k4_xboole_0(C,D) = k3_relset_1(A,B,C,D))) # label(redefinition_k3_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1380 (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]. 43.34/42.27 1381 $T # label(t2_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1382 (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]. 43.34/42.27 1383 (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]. 43.34/42.27 1384 $T # label(t21_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1385 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> C = k1_relset_1(A,B,C,C))) # label(idempotence_k1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1386 (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]. 43.34/42.27 1387 (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]. 43.34/42.27 1388 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1389 (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]. 43.34/42.27 1390 $T # label(t37_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1391 (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]. 43.34/42.27 1392 (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]. 43.34/42.27 1393 (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]. 43.34/42.27 1394 (all A r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A))) # label(t28_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1395 (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]. 43.34/42.27 1396 (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]. 43.34/42.27 1397 (all A (-v1_xboole_0(A) -> k6_relat_1(A) != k1_xboole_0)) # label(t46_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1398 (all A all B (m2_relset_1(B,A,A) -> B = k5_relat_1(k6_relat_1(A),B) & B = k5_relat_1(B,k6_relat_1(A)))) # label(t45_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1399 (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]. 43.34/42.27 1400 $T # label(t41_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1401 (all A all B all C all D all E all F (m1_relset_1(F,C,D) & m1_relset_1(E,A,B) -> m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D))) # label(dt_k7_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1402 (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]. 43.34/42.27 1403 (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) -> -((all E (m1_subset_1(E,B) -> -r2_hidden(E,k4_relset_1(B,A,C)))) & r2_hidden(D,k5_relset_1(B,A,C))))))))))) # label(t50_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1404 (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]. 43.34/42.27 1405 $T # label(t3_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1406 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1407 (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]. 43.34/42.27 1408 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,B) -> (all E (m2_relset_1(E,B,C) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,C) -> ((exists H (m1_subset_1(H,B) & r2_hidden(k4_tarski(F,H),D) & r2_hidden(k4_tarski(H,G),E))) <-> r2_hidden(k4_tarski(F,G),k7_relset_1(A,B,B,C,D,E))))))))))))))))) # label(t51_relset_1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1409 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,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]. 43.34/42.27 1410 (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]. 43.34/42.27 1411 $T # label(t177_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1412 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_xboole_0) -> k1_xboole_0 = k10_relat_1(C,B))) # label(t68_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1413 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_tarski(A),B) -> v2_funct_1(C))) # label(t70_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1414 $T # label(d2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1415 $T # label(t90_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1416 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> (k1_xboole_0 != A -> k5_partfun1(A,k1_xboole_0,B) = k1_xboole_0))) # label(t172_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1417 (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]. 43.34/42.27 1418 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k3_partfun1(A,k1_relat_1(A),k2_relat_1(A)))) # label(t86_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1419 $T # label(t166_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1420 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_partfun1(k1_xboole_0,A))) # label(t141_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1421 $T # label(t118_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1422 $T # label(t42_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1423 (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]. 43.34/42.27 1424 $T # label(t149_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1425 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k4_relset_1(B,C,k3_partfun1(D,B,C))) -> k1_funct_1(k3_partfun1(D,B,C),A) = k1_funct_1(D,A)))) # label(t80_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1426 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_partfun1(k7_relat_1(B,A),B))) # label(t144_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1427 $T # label(t151_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1428 (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) -> -(r2_hidden(E,k4_relset_1(A,B,D)) & C = k1_funct_1(D,E))))))) # label(t49_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1429 $T # label(t12_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1430 (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]. 43.34/42.27 1431 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> C = k3_partfun1(C,A,B))) # label(t87_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1432 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (k1_tarski(C) = k5_partfun1(A,B,C) <-> v1_partfun1(C,A,B)))) # label(t174_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1433 $T # label(t182_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1434 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,B) & 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]. 43.34/42.27 1435 $T # label(t111_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1436 $T # label(t133_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1437 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (v1_partfun1(C,A,B) & r1_partfun1(C,D) & v1_partfun1(D,A,B) -> C = D))))) # label(t148_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1438 (all A all B (p1_s5_partfun1(A,B) -> r2_hidden(f4_s5_partfun1(A,B),f3_s5_partfun1))) -> (exists A (v1_funct_1(A) & (all B all C (r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1,A)) -> f4_s5_partfun1(B,C) = k1_funct_1(A,k4_tarski(B,C)))) & (all B all C (r2_hidden(B,f1_s5_partfun1) & p1_s5_partfun1(B,C) & r2_hidden(C,f2_s5_partfun1) <-> r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1,A)))) & m2_relset_1(A,k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1))) # label(s5_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1439 $T # label(t161_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1440 $T # label(t152_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1441 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(C,D) -> m2_relset_1(C,A,B) & v1_funct_1(C)))))) # label(t33_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1442 (all A exists B (m1_relset_1(B,A,A) & v1_relat_1(B) & v1_relat_2(B) & v1_partfun1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) & v3_relat_2(B))) # label(rc3_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1443 $T # label(t75_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1444 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r2_hidden(C,k4_relset_1(A,B,D)) -> r2_hidden(k1_funct_1(D,C),B)))) # label(t27_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.34/42.27 1445 (all A all B k3_partfun1(k1_xboole_0,A,B) = k1_xboole_0) # label(t91_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1446 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k9_relat_1(C,A),B) & r1_tarski(A,k1_relat_1(C)) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t117_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1447 $T # label(d1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1448 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> k2_relat_1(C) = k9_relat_1(C,A))) # label(t51_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1449 (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]. 43.43/42.28 1450 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k4_partfun1(A,C),k4_partfun1(B,D)))) # label(t128_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1451 (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 (m2_relset_1(E,A,B) & v1_funct_1(E) -> -(r1_partfun1(C,E) & r1_partfun1(D,E) & v1_partfun1(E,A,B)))) & r1_partfun1(C,D) & (B = k1_xboole_0 -> k1_xboole_0 = A)))))) # label(t162_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1452 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> k2_relat_1(B) = k1_xboole_0 & k4_relset_1(A,k1_xboole_0,B) = k1_xboole_0)) # label(t62_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1453 (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) & r1_partfun1(A,B) -> B = A))))) # label(t136_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1454 (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]. 43.43/42.28 1455 $T # label(t150_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1456 $T # label(t165_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1457 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_partfun1(k8_relat_1(A,B),B))) # label(t145_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1458 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> k2_relat_1(B) = k1_xboole_0 & k1_xboole_0 = k4_relset_1(k1_xboole_0,A,B))) # label(t54_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1459 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (r2_hidden(D,k4_relset_1(A,B,C)) & r2_hidden(E,k4_relset_1(A,B,C)) & k1_funct_1(C,E) = k1_funct_1(C,D) -> E = D))))) -> v2_funct_1(C)))) # label(t38_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1460 $T # label(t20_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1461 $T # label(t40_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1462 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(B,C) -> m2_relset_1(D,A,C) & v1_funct_1(D)))) # label(t31_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1463 (exists A (v1_funct_1(A) & f1_s1_partfun1 = k1_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)))) & v1_relat_1(A))) # label(s1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1464 $T # label(t137_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1465 (all A all B all C (m2_relset_1(C,A,k1_tarski(B)) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k1_tarski(B)) -> (k4_relset_1(A,k1_tarski(B),D) = k4_relset_1(A,k1_tarski(B),C) -> C = D))))) # label(t74_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1466 (all A all B all C all D (r2_hidden(A,f1_s4_partfun1) & p1_s4_partfun1(A,B,C) & p1_s4_partfun1(A,B,D) & r2_hidden(B,f2_s4_partfun1) -> C = D)) & (all A all B all C (p1_s4_partfun1(A,B,C) & r2_hidden(B,f2_s4_partfun1) & 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)) -> p1_s4_partfun1(B,C,k1_funct_1(A,k4_tarski(B,C))))) & (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)) <-> r2_hidden(B,f1_s4_partfun1) & (exists D p1_s4_partfun1(B,C,D)) & r2_hidden(C,f2_s4_partfun1))) & 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]. 43.43/42.28 1467 (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(k3_partfun1(C,A,B),k3_partfun1(D,A,B))))))) # label(t81_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1468 (all A (v1_relat_1(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)) & v1_relat_2(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)))) # label(fc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1469 (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]. 43.43/42.28 1470 (all A all B all C all D all E all F (r1_tarski(D,k2_zfmisc_1(E,F)) & r1_tarski(A,k2_zfmisc_1(B,C)) -> r1_tarski(k2_xboole_0(A,D),k2_zfmisc_1(k2_xboole_0(B,E),k2_xboole_0(C,F))))) # label(t1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1471 $T # label(t170_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1472 $T # label(t179_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1473 (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]. 43.43/42.28 1474 $T # label(t108_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1475 $T # label(t155_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1476 (all A k1_tarski(k1_xboole_0) = k4_partfun1(A,k1_xboole_0)) # label(t123_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1477 (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]. 43.43/42.28 1478 (all A all B all C (m2_relset_1(C,A,k1_xboole_0) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,k1_xboole_0) -> D = C)))) # label(t65_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1479 (all A all B exists C (v1_funct_1(C) & v1_relat_1(C) & m1_relset_1(C,A,B))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1480 $T # label(t23_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1481 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,B) & r2_hidden(k1_funct_1(D,A),C) & r2_hidden(A,k1_relat_1(D)) <-> r2_hidden(A,k4_relset_1(B,C,k3_partfun1(D,B,C)))))) # label(t78_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1482 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(A,B) -> r1_tarski(k3_partfun1(D,C,A),k3_partfun1(D,C,B))))) # label(t83_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1483 (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 (m1_subset_1(E,A) -> (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(C,E) = k1_funct_1(D,E)))) & k4_relset_1(A,B,D) = k4_relset_1(A,B,C) -> D = C))))) # label(t34_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1484 $T # label(t164_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1485 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k1_tarski(B) = k5_partfun1(k1_xboole_0,A,B))) # label(t175_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1486 $T # label(t52_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1487 $T # label(t16_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1488 $T # label(t6_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1489 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k3_partfun1(E,A,C),k3_partfun1(E,B,D))))) # label(t84_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1490 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (v1_partfun1(C,A,B) & B = k1_xboole_0 -> A = k1_xboole_0))) # label(t99_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1491 $T # label(t173_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1492 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k1_xboole_0 = B)) # label(t57_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1493 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_tarski(k4_relset_1(A,B,k3_partfun1(C,A,B)),k1_relat_1(C)) & r1_tarski(k2_relat_1(k3_partfun1(C,A,B)),k2_relat_1(C)))) # label(t77_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1494 $T # label(t134_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1495 $T # label(t22_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1496 (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]. 43.43/42.28 1497 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> k4_relset_1(A,B,C) = k10_relat_1(C,B))) # label(t53_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1498 $T # label(t15_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1499 $T # label(t183_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1500 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) -> (r1_partfun1(D,E) & v1_partfun1(E,A,B) & r1_partfun1(C,E) -> r1_partfun1(C,D)))))))) # label(t158_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1501 (all A all B all C (v1_relat_1(C) & v1_funct_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]. 43.43/42.28 1502 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> k2_partfun1(A,B,C,D) = k7_relat_1(C,D))) # label(redefinition_k2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1503 $T # label(t110_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1504 $T # label(t129_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1505 (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]. 43.43/42.28 1506 $T # label(t124_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1507 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> r1_partfun1(A,B)))))) # label(t138_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1508 (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) -> -((B = k1_xboole_0 -> A = k1_xboole_0) & r1_xboole_0(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) & r1_partfun1(C,D)))))) # label(t186_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1509 (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) & r1_tarski(A,C) & r1_tarski(B,C) & v1_funct_1(C))) <-> r1_partfun1(A,B)))))) # label(t131_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1510 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> v2_funct_1(B))) # label(t66_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1511 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> m2_relset_1(k2_partfun1(A,B,C,D),A,B) & v1_funct_1(k2_partfun1(A,B,C,D)))) # label(dt_k2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1512 (all A all B all C (v1_funct_1(C) & v1_relat_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]. 43.43/42.28 1513 (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) -> v1_funct_1(D) & m2_relset_1(D,A,C)))) # label(t29_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1514 (all A all B (v1_funct_1(k1_xboole_0) & m2_relset_1(k1_xboole_0,A,B))) # label(t56_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1515 (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(k3_xboole_0(k2_relat_1(D),k1_relat_1(E)),A) -> 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(t93_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1516 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> 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]. 43.43/42.28 1517 (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]. 43.43/42.28 1518 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (k5_partfun1(A,B,C) = D <-> (all E ((exists F (v1_funct_1(F) & m2_relset_1(F,A,B) & E = F & r1_partfun1(C,F) & v1_partfun1(F,A,B))) <-> r2_hidden(E,D))))))) # label(d7_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1519 (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]. 43.43/42.28 1520 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> r1_partfun1(A,A))) # label(reflexivity_r1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1521 (all A k4_partfun1(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t122_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1522 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,k1_tarski(B)) -> (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]. 43.43/42.28 1523 (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,B))) # label(t46_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1524 (all A all B (v1_relat_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) -> (r1_partfun1(A,B) -> r1_partfun1(B,A)))) # label(symmetry_r1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1525 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),A) -> v1_funct_1(B) & m2_relset_1(B,k1_relat_1(B),A)))) # label(t25_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1526 $T # label(t98_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1527 (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)) -> v1_funct_1(D) & m2_relset_1(D,A,B))))) # label(t168_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1528 (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]. 43.43/42.28 1529 $T # label(t106_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1530 $T # label(t184_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1531 (exists A (v1_relat_1(A) & v2_funct_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1532 $T # label(t5_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1533 (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_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]. 43.43/42.28 1534 $T # label(t167_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1535 $T # label(t105_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1536 $T # label(t181_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1537 (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) -> (k2_xboole_0(A,B) = C -> (all D (r2_hidden(D,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(B,D) = k1_funct_1(A,D)))))))))) # label(t3_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1538 (all A all B all C (m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> k10_relat_1(C,B) = k1_xboole_0)) # label(t61_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1539 (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]. 43.43/42.28 1540 $T # label(t13_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1541 $T # label(t102_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1542 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) & v1_funct_1(F) & v1_funct_1(E) -> m2_relset_1(k1_partfun1(A,B,C,D,E,F),A,D) & v1_funct_1(k1_partfun1(A,B,C,D,E,F)))) # label(dt_k1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1543 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> v2_funct_1(B))) # label(t59_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1544 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> r1_partfun1(C,D)))))) # label(t171_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1545 (all A k6_relat_1(A) = k6_partfun1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1546 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> k5_partfun1(k1_xboole_0,A,B) = k1_tarski(k1_xboole_0))) # label(t176_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1547 (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,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(B,C) = k1_funct_1(A,C))) <-> r1_partfun1(A,B)))))) # label(d6_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1548 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> m2_relset_1(k8_relset_1(A,B,D,C),A,B) & v1_funct_1(k8_relset_1(A,B,D,C)))) # label(t44_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1549 (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]. 43.43/42.28 1550 $T # label(t160_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1551 (all A all B all C (m2_relset_1(C,k1_tarski(A),B) & v1_funct_1(C) -> r1_tarski(k2_relat_1(C),k1_tarski(k1_funct_1(C,A))))) # label(t69_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1552 $T # label(t107_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1553 $T # label(t18_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1554 (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]. 43.43/42.28 1555 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((exists C (C = k2_xboole_0(A,B) & v1_funct_1(C) & v1_relat_1(C))) <-> r1_partfun1(A,B)))))) # label(t130_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1556 $T # label(t156_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1557 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(D) = k1_tarski(A) & r2_hidden(A,B) & r2_hidden(k1_funct_1(D,A),C) -> m2_relset_1(D,B,C) & v1_funct_1(D)))) # label(t72_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1558 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> k9_relset_1(B,C,A,k3_partfun1(D,B,C)) = k3_partfun1(D,B,k3_xboole_0(A,C)))) # label(t97_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1559 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (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]. 43.43/42.28 1560 $T # label(t89_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1561 (all A all B all C all D (m2_relset_1(D,k1_tarski(A),B) & v1_funct_1(D) -> r1_tarski(k9_relat_1(D,C),k1_tarski(k1_funct_1(D,A))))) # label(t71_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1562 (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]. 43.43/42.28 1563 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_1(E) -> (r1_tarski(A,C) & r1_tarski(B,D) -> v1_funct_1(E) & m2_relset_1(E,C,D)))) # label(t32_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1564 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) -> (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,E) = k4_relset_1(k2_zfmisc_1(A,B),C,D) & (all F all G (r2_hidden(k4_tarski(F,G),k4_relset_1(k2_zfmisc_1(A,B),C,D)) -> k1_funct_1(E,k4_tarski(F,G)) = k1_funct_1(D,k4_tarski(F,G)))) -> D = E))))) # label(t35_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1565 (all A all B all C (m2_relset_1(C,A,B) -> (A = k4_relset_1(A,B,C) <-> v1_partfun1(C,A,B)))) # label(d4_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1566 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> -((all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(A,C) = k1_funct_1(B,C))) & (all C (v1_funct_1(C) & v1_relat_1(C) -> k2_xboole_0(A,B) != C))))))) # label(t2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1567 $T # label(t157_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1568 (all A all B all C ((all D ((exists E (r1_tarski(k2_relat_1(E),B) & r1_tarski(k1_relat_1(E),A) & E = D & v1_funct_1(E) & v1_relat_1(E))) <-> r2_hidden(D,C))) <-> C = k4_partfun1(A,B))) # label(d5_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1569 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> v1_partfun1(D,A,B)))))) # label(t169_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1570 $T # label(t104_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1571 $T # label(t4_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1572 $T # label(t101_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1573 (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]. 43.43/42.28 1574 $T # label(t103_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1575 (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]. 43.43/42.28 1576 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> r1_partfun1(A,B)))))) # label(t135_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1577 $T # label(dt_k4_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1578 $T # label(t154_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1579 (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]. 43.43/42.28 1580 (all A all B all C (m2_relset_1(C,A,B) -> k5_relat_1(k6_relat_1(A),C) = C)) # label(t36_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1581 $T # label(t109_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1582 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> k2_partfun1(A,B,k3_partfun1(D,A,B),C) = k3_partfun1(D,k3_xboole_0(A,C),B))) # label(t96_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1583 (all A (p1_s3_partfun1(A) -> r2_hidden(f3_s3_partfun1(A),f2_s3_partfun1))) -> (exists A (m2_relset_1(A,f1_s3_partfun1,f2_s3_partfun1) & (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,k4_relset_1(f1_s3_partfun1,f2_s3_partfun1,A)) <-> p1_s3_partfun1(B) & r2_hidden(B,f1_s3_partfun1))) & v1_funct_1(A))) # label(s3_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1584 (all A (v1_relat_1(A) & v1_funct_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(A,C) = k1_funct_1(B,C))))))))) # label(t132_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1585 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v1_partfun1(k3_partfun1(C,A,B),A,B) -> r1_tarski(A,k1_relat_1(C))))) # label(t113_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1586 (all A (v1_relat_1(A) & v1_funct_1(A) -> m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)) & v1_funct_1(A))) # label(t24_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1587 (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]. 43.43/42.28 1588 (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]. 43.43/42.28 1589 $T # label(t8_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1590 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k3_partfun1(A,B,C) = k7_relat_1(k8_relat_1(C,A),B)))) # label(d3_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1591 $T # label(t153_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1592 $T # label(t163_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1593 (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]. 43.43/42.28 1594 $T # label(t7_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1595 $T # label(t19_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1596 $T # label(t14_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1597 $T # label(t11_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1598 (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) -> (r1_tarski(B,C) & r1_tarski(A,C) -> r1_partfun1(A,B)))))))) # label(t139_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1599 (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]. 43.43/42.28 1600 (all A (v1_relat_1(A) & v8_relat_2(A) & v3_relat_2(A) -> v1_relat_1(A) & v1_relat_2(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1601 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(A,B) -> r1_tarski(k3_partfun1(D,A,C),k3_partfun1(D,B,C))))) # label(t82_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1602 $T # label(dt_k5_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1603 (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]. 43.43/42.28 1604 $T # label(t178_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1605 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r1_partfun1(C,E) & r1_tarski(D,C) -> r1_partfun1(D,E)))))))) # label(t140_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1606 $T # label(t48_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1607 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,k1_xboole_0) -> B = k1_xboole_0)) # label(t64_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1608 (all A all B all C (r2_hidden(A,f1_s2_partfun1) & p1_s2_partfun1(A,B) & p1_s2_partfun1(A,C) -> B = C)) & (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) & (all B (r2_hidden(B,k4_relset_1(f1_s2_partfun1,f2_s2_partfun1,A)) -> p1_s2_partfun1(B,k1_funct_1(A,B)))) & (all B ((exists C p1_s2_partfun1(B,C)) & r2_hidden(B,f1_s2_partfun1) <-> r2_hidden(B,k4_relset_1(f1_s2_partfun1,f2_s2_partfun1,A)))) & m2_relset_1(A,f1_s2_partfun1,f2_s2_partfun1))) # label(s2_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1609 $T # label(t50_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1610 (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]. 43.43/42.28 1611 $T # label(t100_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1612 $T # label(t159_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1613 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A) -> k3_partfun1(C,A,B) = C))) # label(t85_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1614 (all A all B all C (v1_funct_1(A) & v1_relat_1(A) -> m2_relset_1(k3_partfun1(A,B,C),B,C) & v1_funct_1(k3_partfun1(A,B,C)))) # label(dt_k3_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1615 $T # label(t17_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1616 $T # label(t180_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1617 $T # label(t41_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1618 $T # label(t21_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1619 (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) -> C = D)))) # label(t58_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1620 (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]. 43.43/42.28 1621 $T # label(t9_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1622 $T # label(t88_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1623 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,k1_xboole_0) -> k1_xboole_0 = k9_relat_1(C,B))) # label(t67_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1624 (all A all B -v1_xboole_0(k4_partfun1(A,B))) # label(fc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1625 (all A -((all B -(r2_hidden(B,A) & (all C all D all E (r2_hidden(E,B) & r2_hidden(D,E) & r2_hidden(C,D) -> r1_xboole_0(C,A))))) & k1_xboole_0 != A)) # label(t4_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1626 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (F = k4_mcart_1(G,H,I,J) -> E = J))))))))) -> k1_xboole_0 = C | E = k11_mcart_1(A,B,C,D,F) | D = k1_xboole_0 | B = k1_xboole_0 | k1_xboole_0 = A))) # label(t82_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1627 (all A all B all C all D all E all F (r1_tarski(C,D) & r1_tarski(E,F) & 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]. 43.43/42.28 1628 (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 | H = D & G = C & F = B & E = A)) # label(t57_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1629 (all A all B -(-(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> C = k4_tarski(k1_mcart_1(C),k2_mcart_1(C)))) & B != k1_xboole_0 & k1_xboole_0 != A)) # label(t24_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1630 (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]. 43.43/42.28 1631 (all A all B all C all D -(k1_xboole_0 != A & 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 (-(H = k10_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) = I & G = k9_mcart_1(A,B,C,D,E) & k8_mcart_1(A,B,C,D,E) = F) & k4_mcart_1(F,G,H,I) = E)))) & k1_xboole_0 != D & k1_xboole_0 != C)) # label(t59_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1632 (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]. 43.43/42.28 1633 $T # label(t30_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1634 (all A all B all C -(B != k1_xboole_0 & k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> k7_mcart_1(A,B,C,D) = k2_mcart_1(D) & k2_mcart_1(k1_mcart_1(D)) = k6_mcart_1(A,B,C,D) & k1_mcart_1(k1_mcart_1(D)) = k5_mcart_1(A,B,C,D))) & k1_xboole_0 != A)) # label(t50_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1635 (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) -> B = F & G = C & D = H & A = E)) # label(t33_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1636 (all A all B all C all D (k4_zfmisc_1(A,B,C,D) != k1_xboole_0 <-> A != k1_xboole_0 & B != k1_xboole_0 & k1_xboole_0 != C & k1_xboole_0 != D)) # label(t55_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1637 $T # label(dt_k3_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1638 (all A all B all C all D all E all F all G all H (r1_tarski(E,F) & r1_tarski(G,H) & r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k4_zfmisc_1(A,C,E,G),k4_zfmisc_1(B,D,F,H)))) # label(t88_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1639 (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]. 43.43/42.28 1640 (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]. 43.43/42.28 1641 (all A k20_mcart_1(A) = k2_mcart_1(k2_mcart_1(A))) # label(d17_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1642 (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]. 43.43/42.28 1643 (all A all B -(B != k1_xboole_0 & -(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k2_mcart_1(C) != C & C != k1_mcart_1(C))) & k1_xboole_0 != A)) # label(t26_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1644 (all A k1_mcart_1(k1_mcart_1(A)) = k17_mcart_1(A)) # label(d14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1645 $T # label(dt_k20_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1646 (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]. 43.43/42.28 1647 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> (all G (m1_subset_1(G,k3_zfmisc_1(A,B,C)) -> (r2_hidden(G,k3_zfmisc_1(D,E,F)) -> r2_hidden(k5_mcart_1(A,B,C,G),D) & r2_hidden(k6_mcart_1(A,B,C,G),E) & r2_hidden(k7_mcart_1(A,B,C,G),F)))))))))) # label(t76_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1648 (all A all B all C all D -(B != k1_xboole_0 & k1_xboole_0 != D & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k9_mcart_1(A,B,C,D,E) = k2_mcart_1(k1_mcart_1(k1_mcart_1(E))) & k11_mcart_1(A,B,C,D,E) = k2_mcart_1(E) & k10_mcart_1(A,B,C,D,E) = k2_mcart_1(k1_mcart_1(E)) & k8_mcart_1(A,B,C,D,E) = k1_mcart_1(k1_mcart_1(k1_mcart_1(E))))) & k1_xboole_0 != C & A != k1_xboole_0)) # label(t61_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1649 (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 & (B = k1_mcart_1(A) | C = k1_mcart_1(A)))) # label(t17_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1650 (all A all B all C all D all E all F all G all H (m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(E,k1_zfmisc_1(A)) -> 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]. 43.43/42.28 1651 (all A all B all C all D -(k1_xboole_0 != B & D != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,A) -> (k8_mcart_1(A,B,C,D,E) = F <-> (all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> F = G))))))) & k1_xboole_0 != C & k1_xboole_0 != A)) # label(d8_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1652 (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]. 43.43/42.28 1653 (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)) -> E = 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)))) & D != k1_xboole_0 & k1_xboole_0 != B)) # label(t60_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1654 (all A all B all C all D all E k2_enumset1(k3_mcart_1(A,B,D),k3_mcart_1(A,C,D),k3_mcart_1(A,B,E),k3_mcart_1(A,C,E)) = k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k2_tarski(D,E))) # label(t45_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1655 (all A -(k1_xboole_0 != A & (all B -((all C all D (r2_hidden(D,B) & r2_hidden(C,D) -> r1_xboole_0(C,A))) & r2_hidden(B,A))))) # label(t3_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1656 (all A ((exists B exists C k4_tarski(B,C) = A) -> A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)))) # label(t8_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1657 (all A all B all C -(B != k1_xboole_0 & k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> k3_mcart_1(k5_mcart_1(A,B,C,D),k6_mcart_1(A,B,C,D),k7_mcart_1(A,B,C,D)) = D)) & k1_xboole_0 != A)) # label(t48_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1658 (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(A,E) & -r1_xboole_0(B,F) & -r1_xboole_0(D,H) & -r1_xboole_0(C,G))) # label(t64_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1659 (all A k1_mcart_1(k2_mcart_1(A)) = k19_mcart_1(A)) # label(d16_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1660 (all A all B all C all D -(r2_hidden(A,k3_zfmisc_1(B,C,D)) & (all E all F all G -(r2_hidden(E,B) & A = k3_mcart_1(E,F,G) & r2_hidden(G,D) & r2_hidden(F,C))))) # label(t72_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1661 (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]. 43.43/42.28 1662 (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]. 43.43/42.28 1663 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> A != k1_mcart_1(A) & k2_mcart_1(A) != A)) # label(t67_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1664 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (k3_mcart_1(F,G,H) = E -> H = D))))))) -> A = k1_xboole_0 | D = k7_mcart_1(A,B,C,E) | C = k1_xboole_0 | k1_xboole_0 = B))) # label(t71_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1665 (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)) -> k3_zfmisc_1(D,E,F) = k13_mcart_1(A,B,C,D,E,F))) # label(redefinition_k13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1666 (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(H,C) & k4_mcart_1(G,H,I,J) = F & r2_hidden(J,E) & r2_hidden(I,D))))) -> k4_zfmisc_1(B,C,D,E) = A)) # label(t85_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1667 (all A all B all C all D all E all F all G all H (r2_hidden(C,G) & r2_hidden(D,H) & r2_hidden(B,F) & r2_hidden(A,E) <-> r2_hidden(k4_mcart_1(A,B,C,D),k4_zfmisc_1(E,F,G,H)))) # label(t84_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1668 (all A ((exists B exists C A = k4_tarski(B,C)) -> (all B (B = k2_mcart_1(A) <-> (all C all D (A = k4_tarski(C,D) -> D = B)))))) # label(d2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1669 (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]. 43.43/42.28 1670 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> -(k1_xboole_0 != A & B != k1_xboole_0 & k1_xboole_0 != C & D != k1_xboole_0 & (exists F exists G exists H exists I (E = k4_mcart_1(F,G,H,I) & -(F = k8_mcart_1(A,B,C,D,E) & G = k9_mcart_1(A,B,C,D,E) & I = k11_mcart_1(A,B,C,D,E) & k10_mcart_1(A,B,C,D,E) = H)))))) # label(t78_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1671 (all A all B all C all D -(k1_xboole_0 != A & k1_xboole_0 != D & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,D) -> (k11_mcart_1(A,B,C,D,E) = F <-> (all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> J = F))))))) & k1_xboole_0 != C & B != k1_xboole_0)) # label(d11_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1672 (all A all B all C all D all E all F (r2_hidden(A,D) & r2_hidden(B,E) & r2_hidden(C,F) <-> r2_hidden(k3_mcart_1(A,B,C),k3_zfmisc_1(D,E,F)))) # label(t73_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1673 (all A all B all C all D ((all E (r2_hidden(E,A) <-> (exists F exists G exists H (r2_hidden(F,B) & k3_mcart_1(F,G,H) = E & r2_hidden(H,D) & r2_hidden(G,C))))) -> A = k3_zfmisc_1(B,C,D))) # label(t74_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1674 (all A -((all B -((all C (r2_hidden(C,B) -> r1_xboole_0(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1675 (all A all B (k2_zfmisc_1(A,B) != k1_xboole_0 -> (all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k1_mcart_1(C) != C & k2_mcart_1(C) != C)))) # label(t66_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1676 (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]. 43.43/42.28 1677 (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]. 43.43/42.28 1678 (all A all B all C all D k2_enumset1(k4_tarski(A,C),k4_tarski(A,D),k4_tarski(B,C),k4_tarski(B,D)) = k2_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D))) # label(t25_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1679 (all A all B all C all D all E all F (k19_mcart_1(k4_tarski(F,k4_tarski(D,E))) = D & k20_mcart_1(k4_tarski(F,k4_tarski(D,E))) = E & B = k18_mcart_1(k4_tarski(k4_tarski(A,B),C)) & A = k17_mcart_1(k4_tarski(k4_tarski(A,B),C)))) # label(t89_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.28 1680 (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]. 43.43/42.29 1681 $T # label(dt_k17_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1682 $T # label(t21_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1683 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k2_mcart_1(k1_funct_1(A,C)) = k1_funct_1(B,C))) & k1_relat_1(A) = k1_relat_1(B) <-> k16_mcart_1(A) = B))))) # label(d13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1684 (all A all B all C all D (-(-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(B,C,D,A)) & -r1_tarski(A,k4_zfmisc_1(A,B,C,D))) -> A = k1_xboole_0)) # label(t63_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1685 (all A -(A != k1_xboole_0 & (all B -((all C all D -((r2_hidden(D,A) | r2_hidden(C,A)) & k4_tarski(C,D) = B)) & r2_hidden(B,A))))) # label(t9_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1686 (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]. 43.43/42.29 1687 (all A all B (k4_zfmisc_1(A,A,A,A) = k4_zfmisc_1(B,B,B,B) -> A = B)) # label(t58_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1688 (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]. 43.43/42.29 1689 (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 | E = k10_mcart_1(A,B,C,D,F) | k1_xboole_0 = D | k1_xboole_0 = B))) # label(t81_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1690 $T # label(dt_k19_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1691 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k15_mcart_1(A)) & v1_relat_1(k15_mcart_1(A)))) # label(dt_k15_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1692 (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]. 43.43/42.29 1693 (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]. 43.43/42.29 1694 (all A -((all B -(r2_hidden(B,A) & (all C all D all E all F -((r2_hidden(D,A) | r2_hidden(C,A)) & B = k4_mcart_1(C,D,E,F))))) & A != k1_xboole_0)) # label(t34_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1695 (all A all B all C all D all E all F (k3_zfmisc_1(A,B,C) = k3_zfmisc_1(D,E,F) -> k3_zfmisc_1(A,B,C) = k1_xboole_0 | A = D & F = C & E = B)) # label(t37_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1696 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1697 (all A all B all C all D all E all F -((exists G (m1_subset_1(G,k3_zfmisc_1(A,B,C)) & (exists H (-(k6_mcart_1(D,E,F,H) = k6_mcart_1(A,B,C,G) & k7_mcart_1(A,B,C,G) = k7_mcart_1(D,E,F,H) & k5_mcart_1(D,E,F,H) = k5_mcart_1(A,B,C,G)) & G = H & m1_subset_1(H,k3_zfmisc_1(D,E,F)))))) & F != k1_xboole_0 & E != k1_xboole_0 & D != k1_xboole_0 & k1_xboole_0 != C & k1_xboole_0 != B & A != k1_xboole_0)) # label(t75_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1698 (all A all B all C all D all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) -> (all I (m1_subset_1(I,k4_zfmisc_1(A,B,C,D)) -> (r2_hidden(I,k4_zfmisc_1(E,F,G,H)) -> r2_hidden(k8_mcart_1(A,B,C,D,I),E) & r2_hidden(k10_mcart_1(A,B,C,D,I),G) & r2_hidden(k11_mcart_1(A,B,C,D,I),H) & r2_hidden(k9_mcart_1(A,B,C,D,I),F)))))))))))) # label(t87_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1699 (all A all B (k2_mcart_1(k4_tarski(A,B)) = B & k1_mcart_1(k4_tarski(A,B)) = A)) # label(t7_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1700 (all A all B all C all D k1_tarski(k4_mcart_1(A,B,C,D)) = k4_zfmisc_1(k1_tarski(A),k1_tarski(B),k1_tarski(C),k1_tarski(D))) # label(t65_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1701 (all A all B all C all D all E (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),k2_tarski(D,E))) -> (C = k1_mcart_1(A) | k1_mcart_1(A) = B) & (k2_mcart_1(A) = D | k2_mcart_1(A) = E))) # label(t19_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1702 (all A all B all C (r2_hidden(k1_mcart_1(A),B) & r2_hidden(k2_mcart_1(A),C) -> (all D all E k4_tarski(D,E) != A) | r2_hidden(A,k2_zfmisc_1(B,C)))) # label(t11_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1703 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(B,k2_tarski(C,D))) -> (D = k2_mcart_1(A) | k2_mcart_1(A) = C) & r2_hidden(k1_mcart_1(A),B))) # label(t16_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1704 (all A -(k1_xboole_0 != A & (all B -(r2_hidden(B,A) & r1_xboole_0(B,A))))) # label(t1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1705 (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]. 43.43/42.29 1706 $T # label(dt_k4_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1707 (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)) -> D != k7_mcart_1(A,B,C,D) & k6_mcart_1(A,B,C,D) != D & k5_mcart_1(A,B,C,D) != D)) & k1_xboole_0 != B)) # label(t51_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1708 (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) -> k1_xboole_0 = D | E = A & B = F & C = G & H = D | C = k1_xboole_0 | B = k1_xboole_0 | k1_xboole_0 = A)) # label(t56_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1709 (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 & (k2_mcart_1(A) = D | k2_mcart_1(A) = C))) # label(t18_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1710 (all A all B all C all D all E all F (k3_mcart_1(A,B,C) = k3_mcart_1(D,E,F) -> A = D & F = C & E = B)) # label(t28_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1711 $T # label(t27_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1712 (all A ((exists B exists C k4_tarski(B,C) = A) -> A != k1_mcart_1(A) & k2_mcart_1(A) != A)) # label(t20_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1713 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) -> k2_zfmisc_1(C,D) = k12_mcart_1(A,B,C,D))) # label(redefinition_k12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1714 (all A ((exists B exists C A = k4_tarski(B,C)) -> (all B ((all C all D (k4_tarski(C,D) = A -> B = C)) <-> B = k1_mcart_1(A))))) # label(d1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1715 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1716 (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(B,C) = k1_mcart_1(k1_funct_1(A,C)))) & k1_relat_1(B) = k1_relat_1(A) <-> k15_mcart_1(A) = B))))) # label(d12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1717 $T # label(t22_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1718 (all A all B all C -(k1_xboole_0 != C & (exists D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) & (exists E exists F exists G (k3_mcart_1(E,F,G) = D & -(k7_mcart_1(A,B,C,D) = G & k6_mcart_1(A,B,C,D) = F & E = k5_mcart_1(A,B,C,D)))))) & k1_xboole_0 != B & k1_xboole_0 != A)) # label(t47_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1719 (all A k18_mcart_1(A) = k2_mcart_1(k1_mcart_1(A))) # label(d15_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1720 $T # label(dt_k18_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1721 (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(C,F) & -r1_xboole_0(B,E))) # label(t52_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 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))))))) -> k1_xboole_0 = B | C = k1_xboole_0 | k6_mcart_1(A,B,C,E) = D | A = k1_xboole_0))) # label(t70_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1723 (all A all B all C all D all E all F (k3_zfmisc_1(D,E,F) = k3_zfmisc_1(A,B,C) -> A = k1_xboole_0 | k1_xboole_0 = C | C = F & E = B & D = A | k1_xboole_0 = B)) # label(t36_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1724 (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 = F))))))) -> A = k1_xboole_0 | k1_xboole_0 = B | k1_xboole_0 = C | D = k5_mcart_1(A,B,C,E)))) # label(t69_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1725 (all A -((all B -((all C all D all E all F all G (r2_hidden(C,D) & r2_hidden(D,E) & r2_hidden(E,F) & r2_hidden(G,B) & r2_hidden(F,G) -> r1_xboole_0(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t6_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1726 (all A all B all C all D all E -((all F all G all H all I -(r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,D) & r2_hidden(I,E) & k4_mcart_1(F,G,H,I) = A)) & r2_hidden(A,k4_zfmisc_1(B,C,D,E)))) # label(t83_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1727 (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]. 43.43/42.29 1728 (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]. 43.43/42.29 1729 (all A all B all C -(k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,C) -> (E = k7_mcart_1(A,B,C,D) <-> (all F all G all H (D = k3_mcart_1(F,G,H) -> H = E))))))) & B != k1_xboole_0 & k1_xboole_0 != A)) # label(d7_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1730 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> G = E))))))))) -> k1_xboole_0 = A | k1_xboole_0 = B | k1_xboole_0 = D | E = k8_mcart_1(A,B,C,D,F) | C = k1_xboole_0))) # label(t79_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1731 (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]. 43.43/42.29 1732 (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]. 43.43/42.29 1733 (all A -((all B -((all C all D all E all F (r2_hidden(F,B) & r2_hidden(E,F) & r2_hidden(D,E) & r2_hidden(C,D) -> r1_xboole_0(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t5_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1734 (all A all B all C -(C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,B) -> ((all F all G all H (D = k3_mcart_1(F,G,H) -> G = E)) <-> k6_mcart_1(A,B,C,D) = E))))) & k1_xboole_0 != B & A != k1_xboole_0)) # label(d6_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1735 (all A all B all C all D -(A != k1_xboole_0 & C != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> E != k9_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) != E & E != k10_mcart_1(A,B,C,D,E) & E != k8_mcart_1(A,B,C,D,E))) & k1_xboole_0 != D & k1_xboole_0 != B)) # label(t62_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1736 (all A all B all C all D k4_mcart_1(A,B,C,D) = k4_tarski(k3_mcart_1(A,B,C),D)) # label(d4_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1737 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),C)) -> B = k1_mcart_1(A) & r2_hidden(k2_mcart_1(A),C))) # label(t12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1738 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) = A)) # label(t23_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1739 (all A all B all C all D all E all F all G all H (m1_subset_1(E,k1_zfmisc_1(A)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(F,k1_zfmisc_1(B)) -> k14_mcart_1(A,B,C,D,E,F,G,H) = k4_zfmisc_1(E,F,G,H))) # label(redefinition_k14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1740 (all A all B all C all D all E all F all G all H -(B != k1_xboole_0 & k1_xboole_0 != E & k1_xboole_0 != F & k1_xboole_0 != G & H != k1_xboole_0 & (exists I ((exists J (m1_subset_1(J,k4_zfmisc_1(E,F,G,H)) & -(k9_mcart_1(A,B,C,D,I) = k9_mcart_1(E,F,G,H,J) & k10_mcart_1(E,F,G,H,J) = k10_mcart_1(A,B,C,D,I) & k11_mcart_1(E,F,G,H,J) = k11_mcart_1(A,B,C,D,I) & k8_mcart_1(E,F,G,H,J) = k8_mcart_1(A,B,C,D,I)) & J = I)) & m1_subset_1(I,k4_zfmisc_1(A,B,C,D)))) & k1_xboole_0 != D & C != k1_xboole_0 & A != k1_xboole_0)) # label(t86_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1741 (all A all B all C (k3_zfmisc_1(A,B,C) != k1_xboole_0 <-> k1_xboole_0 != C & k1_xboole_0 != B & A != k1_xboole_0)) # label(t35_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1742 (all A all B all C -(-(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,A) -> ((all F all G all H (k3_mcart_1(F,G,H) = D -> E = F)) <-> k5_mcart_1(A,B,C,D) = E))))) & C != k1_xboole_0 & k1_xboole_0 != B & A != k1_xboole_0)) # label(d5_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1743 (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 = C | D = k1_xboole_0 | E = k9_mcart_1(A,B,C,D,F) | k1_xboole_0 = B | k1_xboole_0 = A))) # label(t80_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1744 (all A all B all C all D all E k2_enumset1(k3_mcart_1(A,C,E),k3_mcart_1(B,C,E),k3_mcart_1(A,D,E),k3_mcart_1(B,D,E)) = k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k1_tarski(E))) # label(t43_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1745 (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]. 43.43/42.29 1746 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> -(A != k1_xboole_0 & B != k1_xboole_0 & (exists E exists F exists G (D = k3_mcart_1(E,F,G) & -(E = k5_mcart_1(A,B,C,D) & F = k6_mcart_1(A,B,C,D) & G = k7_mcart_1(A,B,C,D)))) & C != k1_xboole_0))) # label(t68_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1747 (all A all B all C all D -(k1_xboole_0 != A & 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,B) -> ((all G all H all I all J (k4_mcart_1(G,H,I,J) = E -> H = F)) <-> k9_mcart_1(A,B,C,D,E) = F))))) & k1_xboole_0 != C)) # label(d9_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1748 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),D)) -> r2_hidden(k2_mcart_1(A),D) & (B = k1_mcart_1(A) | C = k1_mcart_1(A)))) # label(t15_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1749 (all A all B all C all D -(-(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,C) -> (k10_mcart_1(A,B,C,D,E) = F <-> (all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> I = F))))))) & D != k1_xboole_0 & C != k1_xboole_0 & B != k1_xboole_0 & k1_xboole_0 != A)) # label(d10_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1750 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> r2_hidden(k1_mcart_1(A),B) & r2_hidden(k2_mcart_1(A),C))) # label(t10_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1751 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k1_tarski(C))) -> k2_mcart_1(A) = C & B = k1_mcart_1(A))) # label(t14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1752 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,k1_tarski(C))) -> k2_mcart_1(A) = C & r2_hidden(k1_mcart_1(A),B))) # label(t13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1753 (all A -((all B -(r2_hidden(B,A) & (all C all D all E -(k3_mcart_1(C,D,E) = B & (r2_hidden(D,A) | r2_hidden(C,A)))))) & A != k1_xboole_0)) # label(t29_mcart_1) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1754 $T # label(t19_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1755 (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)) -> B = C))))))) # label(t12_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1756 (all A v1_relat_1(k1_wellord2(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1757 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_wellord1(k1_wellord2(A),k1_wellord2(B)) -> A = B))))) # label(t11_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1758 (all A v4_relat_2(k1_wellord2(A))) # label(t5_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1759 $T # label(t21_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1760 (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]. 43.43/42.29 1761 (all A all B (r2_tarski(A,B) <-> r2_wellord2(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1762 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) -> (r1_wellord2(A,B) <-> k2_wellord2(B) = A))))) # label(d3_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1763 (all A v8_relat_2(k1_wellord2(A))) # label(t3_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1764 (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]. 43.43/42.29 1765 (all A (v3_ordinal1(A) -> v1_wellord1(k1_wellord2(A)))) # label(t6_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1766 (all A (v1_relat_1(A) -> v3_ordinal1(k2_wellord2(A)))) # label(dt_k2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1767 (all A v1_relat_2(k1_wellord2(A))) # label(t2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1768 (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]. 43.43/42.29 1769 (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]. 43.43/42.29 1770 $T # label(t23_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1771 (all A exists B (v1_relat_1(B) & r2_wellord1(B,A))) # label(t26_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1772 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B (v3_ordinal1(B) -> (B = k2_wellord2(A) <-> r4_wellord1(A,k1_wellord2(B)))))))) # label(d2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1773 (all A all B r2_wellord2(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1774 (all A -((all B -(r2_hidden(B,f2_s1_wellord2) & p1_s1_wellord2(A,B))) & r2_hidden(A,f1_s1_wellord2))) -> (exists A (v1_funct_1(A) & r1_tarski(k2_relat_1(A),f2_s1_wellord2) & (all B (r2_hidden(B,f1_s1_wellord2) -> p1_s1_wellord2(B,k1_funct_1(A,B)))) & f1_s1_wellord2 = k1_relat_1(A) & v1_relat_1(A))) # label(s1_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.43/42.29 1775 $T # label(t15_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1776 (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]. 43.44/42.29 1777 (all A all B (r2_wellord2(A,B) -> r2_wellord2(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1778 $T # label(t18_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1779 (all A (v3_ordinal1(A) -> v2_wellord1(k1_wellord2(A)))) # label(t7_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1780 (all A (-v1_xboole_0(A) -> -((all B -(k1_xboole_0 = B & r2_hidden(B,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))))))))) # label(t28_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1781 $T # label(t20_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1782 $T # label(t1_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1783 (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]. 43.44/42.29 1784 $T # label(t16_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1785 $T # label(t24_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1786 (all A (v3_ordinal1(A) -> v6_relat_2(k1_wellord2(A)))) # label(t4_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1787 (all A all B (v1_relat_1(B) -> (k1_wellord2(A) = B <-> (all C all D (r2_hidden(D,A) & r2_hidden(C,A) -> (r1_tarski(C,D) <-> r2_hidden(k4_tarski(C,D),B)))) & A = k3_relat_1(B)))) # label(d1_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1788 (all A (-v1_xboole_0(A) -> -((all B exists C ((all D k3_xboole_0(B,C) != k1_tarski(D)) & r2_hidden(C,A))) & (all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r1_xboole_0(B,C) | C = B)) & (all B -(B = k1_xboole_0 & r2_hidden(B,A)))))) # label(t27_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1789 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> A = k1_wellord1(k1_wellord2(B),A)))))) # label(t10_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1790 (all A all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) & B = k2_relat_1(C) & k1_relat_1(C) = A)) <-> r2_wellord2(A,B))) # label(d4_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1791 (all A -(r2_hidden(A,f1_s2_wellord2) & (all B all C -(r2_hidden(B,f2_s2_wellord2) & p1_s2_wellord2(A,B,C) & r2_hidden(C,f3_s2_wellord2))))) -> (exists A (v1_relat_1(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)))) & f1_s2_wellord2 = k1_relat_1(B) & k1_relat_1(A) = f1_s2_wellord2 & v1_funct_1(B))))) # label(s2_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1792 (all A (v1_relat_1(A) -> -((all B (v3_ordinal1(B) -> -r4_wellord1(A,k1_wellord2(B)))) & (all B -((all C (v3_ordinal1(C) -> -r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(C)))) & r2_hidden(B,k3_relat_1(A)))) & v2_wellord1(A)))) # label(t13_wellord2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1793 $T # label(t52_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1794 $T # label(t63_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1795 $T # label(t117_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1796 (all A all B (m1_relset_1(B,A,A) -> (v1_partfun1(B,A,A) & v1_funct_2(B,A,A) & v1_relat_2(B) & v1_funct_1(B) -> v1_funct_1(B) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) & v2_funct_1(B)))) # label(cc4_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1797 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> k10_relat_1(C,D) = k3_funct_2(A,B,C,D))) # label(redefinition_k3_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1798 (all A all B all C (C = k1_funct_2(A,B) <-> (all D ((exists E (v1_relat_1(E) & D = E & A = k1_relat_1(E) & r1_tarski(k2_relat_1(E),B) & v1_funct_1(E))) <-> r2_hidden(D,C))))) # label(d2_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1799 (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 <-> (all D -(k1_xboole_0 = k3_funct_2(A,B,C,k1_tarski(D)) & r2_hidden(D,B)))))) # label(t49_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1800 (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) -> 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]. 43.44/42.29 1801 (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) -> k1_tarski(C) = k5_partfun1(A,B,k3_partfun1(C,A,B))))) # label(t161_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1802 (all A all B all C (m2_relset_1(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_2(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_1(k9_funct_2(A,B,C)))) # label(dt_k9_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1803 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & m1_relset_1(B,A,A) -> k4_funct_2(A,B,C) = k5_relat_1(B,C))) # label(redefinition_k4_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1804 $T # label(t68_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1805 $T # label(t56_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1806 $T # label(t103_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1807 (all A all B all C (v1_funct_1(B) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_1(C) & m1_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) -> v1_funct_1(k5_funct_2(A,B,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))) # label(dt_k5_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1808 $T # label(t101_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1809 $T # label(t39_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1810 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> v1_partfun1(k3_partfun1(B,A,A),A,A))) # label(t134_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1811 $T # label(t58_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1812 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> k1_tarski(B) = k5_partfun1(A,A,k3_partfun1(B,A,A)))) # label(t162_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1813 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (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]. 43.44/42.29 1814 $T # label(t114_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1815 (all A all B (r2_hidden(A,f1_s6_funct_2) & r2_hidden(B,f2_s6_funct_2) -> r2_hidden(f4_s6_funct_2(A,B),f3_s6_funct_2))) -> (exists A (v1_funct_2(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))) & m2_relset_1(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]. 43.44/42.29 1816 $T # label(t90_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1817 $T # label(t112_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1818 (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(A,C) -> D = k2_partfun1(A,B,D,C)))) # label(t40_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1819 (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 & -v2_funct_1(C) & (exists D (v1_funct_2(D,B,A) & k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) & m2_relset_1(D,B,A) & v1_funct_1(D)))))) # label(t37_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1820 $T # label(t2_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1821 (all A all B all C all D (v1_funct_2(D,k1_tarski(A),B) & m2_relset_1(D,k1_tarski(A),B) & v1_funct_1(D) -> (k1_xboole_0 != B -> r1_tarski(k2_funct_2(k1_tarski(A),B,D,C),k1_tarski(k1_funct_1(D,A)))))) # label(t64_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1822 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & v1_funct_1(C) -> v1_funct_1(C) & v1_funct_2(C,A,B) & v1_partfun1(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1823 $T # label(t57_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1824 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (k4_funct_2(A,B,C) = B & k2_relat_1(B) = A -> k6_partfun1(A) = C))))) # label(t75_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1825 $T # label(t144_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1826 (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_2(D,A,B) & v1_funct_1(D))))) # label(t158_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1827 $T # label(t105_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1828 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (k1_partfun1(B,A,A,B,D,C) = k6_partfun1(B) -> k2_relat_1(C) = B))))) # label(t24_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1829 $T # label(t104_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1830 (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]. 43.44/42.29 1831 $T # label(t10_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1832 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> v1_funct_1(B) & v1_funct_2(B,k1_relat_1(B),A) & m2_relset_1(B,k1_relat_1(B),A)))) # label(t4_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1833 (all A all B all C all D (v1_funct_2(C,A,B) & m1_relset_1(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]. 43.44/42.29 1834 $T # label(t93_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1835 (all A all B all C (r2_hidden(C,k1_funct_2(A,B)) -> m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C))) # label(t121_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1836 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (v1_partfun1(C,A,B) -> v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C)))) # label(t131_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1837 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) -> v2_funct_1(C) & k2_relat_1(D) = A | k1_xboole_0 = B))))) # label(t29_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1838 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (r2_hidden(C,A) -> r2_hidden(k1_funct_1(D,C),k2_relat_1(D)) | B = k1_xboole_0))) # label(t6_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1839 (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 -> ((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 (m2_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) -> (k1_partfun1(A,B,B,D,C,F) = k1_partfun1(A,B,B,D,C,E) -> E = F))))))) <-> B = k2_relat_1(C))))) # label(t22_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1840 $T # label(t122_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1841 (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) & m2_relset_1(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))))) # label(s12_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1842 $T # label(t89_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1843 $T # label(t33_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1844 (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 ((all B (m1_subset_1(B,f1_s14_funct_2) -> p1_s14_funct_2(B,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,A,B)))) & m2_relset_1(A,f1_s14_funct_2,f2_s14_funct_2) & v1_funct_2(A,f1_s14_funct_2,f2_s14_funct_2) & v1_funct_1(A))) # label(s14_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1845 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (B != k1_xboole_0 -> (all E (r2_hidden(E,k10_relat_1(D,C)) <-> r2_hidden(E,A) & r2_hidden(k1_funct_1(D,E),C)))))) # label(t46_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1846 (all A all B all C all D (m1_subset_1(D,A) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(A) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1847 (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) -> -((B = k1_xboole_0 -> A = k1_xboole_0) & (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> -(r1_partfun1(C,E) & r1_partfun1(D,E)))) & r1_partfun1(C,D)))))) # label(t154_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1848 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = A & (all D (r2_hidden(D,A) -> r2_hidden(k1_funct_1(C,D),B))) -> v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B)))) # label(t5_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1849 (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) -> (k5_partfun1(A,B,C) = k5_partfun1(A,B,D) & (all E B != k1_tarski(E)) -> D = C))))) # label(t168_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1850 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> (-(B = k1_xboole_0 & A != k1_xboole_0 & C != k1_xboole_0) -> v1_funct_1(k1_partfun1(A,B,B,C,D,E)) & m2_relset_1(k1_partfun1(A,B,B,C,D,E),A,C) & v1_funct_2(k1_partfun1(A,B,B,C,D,E),A,C)))))) # label(t19_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1851 (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]. 43.44/42.29 1852 (all A all B all 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) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> k1_funct_1(E,k4_tarski(F,G)) = k1_funct_1(D,k4_tarski(F,G)))))) -> D = E))))) # label(t120_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1853 (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) -> (r1_partfun1(C,D) -> B = k1_xboole_0 & A != k1_xboole_0 | r2_hidden(D,k5_partfun1(A,B,C))))))) # label(t155_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1854 $T # label(t72_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1855 (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,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (k2_relat_1(C) = B & v2_funct_1(C) & k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A) -> k1_xboole_0 = B | k2_funct_1(C) = D | A = k1_xboole_0))))) # label(t36_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1856 (all A (r2_hidden(A,f1_s2_funct_2) -> r2_hidden(f3_s2_funct_2(A),f2_s2_funct_2))) -> (exists A ((all B (r2_hidden(B,f1_s2_funct_2) -> k1_funct_1(A,B) = f3_s2_funct_2(B))) & m2_relset_1(A,f1_s2_funct_2,f2_s2_funct_2) & 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]. 43.44/42.29 1857 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> k2_relat_1(B) = k2_funct_2(A,A,B,A))) # label(t79_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1858 $T # label(t78_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1859 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(k2_relat_1(D),C) -> v1_funct_2(D,A,C) & m2_relset_1(D,A,C) & v1_funct_1(D) | k1_xboole_0 != A & B = k1_xboole_0))) # label(t8_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.29 1860 (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]. 43.44/42.30 1861 (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_2(D,A,B) & v1_funct_1(D) -> -r1_partfun1(C,D))) & (k1_xboole_0 = B -> A = k1_xboole_0)))) # label(t148_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1862 (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]. 43.44/42.30 1863 $T # label(t100_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1864 (all A all B all C (v1_funct_2(C,k1_tarski(A),B) & m2_relset_1(C,k1_tarski(A),B) & v1_funct_1(C) -> (B != k1_xboole_0 -> k1_tarski(k1_funct_1(C,A)) = k2_relat_1(C)))) # label(t62_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1865 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (v2_funct_1(C) & B = k2_relat_1(C) -> k5_relat_1(C,k2_funct_1(C)) = k6_partfun1(A) & k5_relat_1(k2_funct_1(C),C) = k6_partfun1(B) | B = k1_xboole_0))) # label(t35_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1866 f3_s11_funct_2 != f4_s11_funct_2 -> (exists 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) -> -(f7_s11_funct_2(B) != k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,B) & B != f4_s11_funct_2 & B != f3_s11_funct_2))) & f6_s11_funct_2 = k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f4_s11_funct_2) & m2_relset_1(A,f1_s11_funct_2,f2_s11_funct_2) & v1_funct_1(A))) # label(s11_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1867 $T # label(t109_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1868 (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) -> (r1_partfun1(B,C) -> C = B))))) # label(t143_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1869 $T # label(t125_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1870 (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]. 43.44/42.30 1871 (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 -> k1_xboole_0 = A) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t133_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1872 $T # label(t15_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1873 (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) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B)))) # label(cc3_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1874 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k1_funct_2(A,B)) -> r1_tarski(k2_relat_1(C),B) & k1_relat_1(C) = A))) # label(t169_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1875 (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]. 43.44/42.30 1876 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_xboole_0 -> 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]. 43.44/42.30 1877 $T # label(t137_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1878 $T # label(t139_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1879 (all A all B all C all D all E (v1_funct_2(E,B,C) & m1_relset_1(E,B,C) & v1_funct_1(E) & m1_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) & -v1_xboole_0(B) -> v1_funct_2(k7_funct_2(A,B,C,D,E),A,C) & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) & v1_funct_1(k7_funct_2(A,B,C,D,E)))) # label(dt_k7_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1880 (all A all B all C (v1_funct_1(B) & 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_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]. 43.44/42.30 1881 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v3_funct_2(C,A,A) -> (r1_tarski(B,A) -> B = k2_funct_2(A,A,C,k3_funct_2(A,A,C,B)) & B = k3_funct_2(A,A,C,k2_funct_2(A,A,C,B))))) # label(t92_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1882 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (k1_xboole_0 != B -> (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]. 43.44/42.30 1883 (all A all B -(r2_hidden(A,f1_s5_funct_2) & (all C -(r2_hidden(C,f3_s5_funct_2) & p1_s5_funct_2(A,B,C))) & r2_hidden(B,f2_s5_funct_2))) -> (exists A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2) & (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))))) & 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]. 43.44/42.30 1884 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_xboole_0,A) & v1_funct_2(C,k1_xboole_0,A) -> k2_funct_2(k1_xboole_0,A,C,B) = k1_xboole_0)) # label(t59_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1885 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> ((all E (m1_subset_1(E,A) -> k1_funct_1(C,E) = k1_funct_1(D,E))) -> D = C))))) # label(t113_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1886 (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_2(D,A,B) & v1_funct_1(D) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> (r1_partfun1(C,D) <-> (all E (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(D,E) = k1_funct_1(C,E))))))))) # label(t145_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1887 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_partfun1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1888 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (v2_funct_1(B) -> (all C all D (r2_hidden(C,A) & r2_hidden(D,A) & k1_funct_1(B,C) = k1_funct_1(B,D) -> D = C))))) # label(t85_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1889 (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) -> k1_xboole_0 = B & A != k1_xboole_0 | v1_funct_1(k2_partfun1(A,B,D,C)) & v1_funct_2(k2_partfun1(A,B,D,C),C,B) & m2_relset_1(k2_partfun1(A,B,D,C),C,B)))) # label(t38_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1890 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> -(r2_hidden(C,B) & B = k2_relat_1(D) & (all E -(r2_hidden(E,A) & k1_funct_1(D,E) = C))))) # label(t17_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1891 (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(k5_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C)) | k1_xboole_0 = B))))) # label(t21_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1892 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & v3_funct_2(C,A,B) & v1_funct_1(C) -> v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B) & v1_funct_1(C)))) # label(cc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1893 $T # label(t13_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1894 $T # label(t84_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1895 $T # label(t54_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1896 (all A all B all C (m1_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & m1_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k5_funct_2(A,B,C) = k5_relat_1(B,C))) # label(redefinition_k5_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1897 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1898 $T # label(t102_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1899 (all A all B all C all D (v1_funct_2(C,A,B) & m1_subset_1(D,A) & m1_relset_1(C,A,B) & 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]. 43.44/42.30 1900 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> (k4_funct_2(A,C,B) = B & v2_funct_1(B) -> C = k6_partfun1(A)))))) # label(t76_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1901 (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) -> k6_partfun1(A) = k5_funct_2(A,B,k6_funct_2(A,B)) & k5_funct_2(A,k6_funct_2(A,B),B) = k6_partfun1(A))) # label(t88_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1902 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v3_funct_2(B,A,A) -> (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) = k6_partfun1(A) -> C = k6_funct_2(A,B)))))) # label(t87_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1903 (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_2(D,A,k1_tarski(B)) & m2_relset_1(D,A,k1_tarski(B)) & v1_funct_1(D) -> C = D)))) # label(t66_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1904 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) -> m1_subset_1(k3_funct_2(A,B,C,D),k1_zfmisc_1(A)))) # label(dt_k3_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1905 (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) -> k1_funct_1(D,C) = B))) # label(t65_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1906 (all A (m1_subset_1(A,f1_s7_funct_2) -> (all B (m1_subset_1(B,f2_s7_funct_2) -> (exists C (m1_subset_1(C,f3_s7_funct_2) & p1_s7_funct_2(A,B,C))))))) -> (exists A (v1_funct_1(A) & v1_funct_2(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))))))) & m2_relset_1(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2))) # label(s7_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1907 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> ((all D -((all E -(D = k1_funct_1(C,E) & r2_hidden(E,A))) & r2_hidden(D,B))) -> k1_xboole_0 = B | k2_relat_1(C) = B))) # label(t16_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1908 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k2_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1909 $T # label(t129_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1910 (all A all B (-v1_xboole_0(A) & -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_xboole_0(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1911 (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) -> (B = k2_relat_1(D) & k2_relat_1(E) = C -> k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C | C = k1_xboole_0 | k1_xboole_0 = B))))) # label(t20_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1912 (all A all B all C (m2_relset_1(C,A,B) -> k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C & C = k7_relset_1(A,A,A,B,k6_partfun1(A),C))) # label(t23_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1913 $T # label(t128_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1914 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> v1_partfun1(C,A,B) | A != k1_xboole_0 & k1_xboole_0 = B))) # label(t132_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1915 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> k4_relset_1(A,A,B) = A & r1_tarski(k2_relat_1(B),A))) # label(t67_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1916 $T # label(t150_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1917 (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(D,C) -> r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D))))))) # label(t165_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1918 (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]. 43.44/42.30 1919 $T # label(t98_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1920 (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) -> (r1_partfun1(C,D) -> k1_xboole_0 = B & k1_xboole_0 != A | C = D))))) # label(t142_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1921 $T # label(t42_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1922 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (v2_funct_2(C,A,B) <-> k2_relat_1(C) = B))) # label(d3_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1923 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(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]. 43.44/42.30 1924 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> k3_funct_2(A,B,C,B) = A))) # label(t48_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1925 $T # label(t127_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1926 (all A all B (m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (r1_partfun1(B,C) -> r2_hidden(C,k5_partfun1(A,A,B))))))) # label(t156_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1927 $T # label(t138_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1928 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> k3_funct_2(A,B,C,k2_funct_2(A,B,C,A)) = A))) # label(t51_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1929 (all A (m1_subset_1(A,f1_s13_funct_2) -> m1_subset_1(f3_s13_funct_2(A),f2_s13_funct_2))) -> (exists 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) & v1_funct_1(A))) # label(s13_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1930 $T # label(t126_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1931 (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) -> ((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]. 43.44/42.30 1932 $T # label(t157_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1933 $T # label(t71_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1934 (exists A ((all B (m1_subset_1(B,f1_s8_funct_2) -> (all C (m1_subset_1(C,f2_s8_funct_2) -> f4_s8_funct_2(B,C) = k1_funct_1(A,k4_tarski(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]. 43.44/42.30 1935 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(A) & m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)) & v1_funct_2(A,k1_relat_1(A),k2_relat_1(A)))) # label(t3_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1936 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_2(C,A,B) & v1_funct_1(C))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1937 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (r2_hidden(C,A) & v2_funct_1(D) -> B = k1_xboole_0 | C = k1_funct_1(k2_funct_1(D),k1_funct_1(D,C))))) # label(t32_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1938 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (A = k2_relat_1(B) & k2_relat_1(C) = A -> k2_relat_1(k4_funct_2(A,B,C)) = A))))) # label(t73_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1939 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (C = k5_funct_2(A,B,C) -> B = k6_partfun1(A)))))) # label(t86_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1940 (all A all B all C (v1_funct_2(C,k1_tarski(A),B) & m2_relset_1(C,k1_tarski(A),B) & v1_funct_1(C) -> (B != k1_xboole_0 -> r2_hidden(k1_funct_1(C,A),B)))) # label(t61_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1941 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> ((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]. 43.44/42.30 1942 $T # label(t97_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1943 $T # label(t124_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1944 $T # label(t96_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1945 $T # label(t91_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1946 $T # label(t99_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1947 $T # label(t69_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1948 (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(B,C) -> k1_xboole_0 != A & k1_xboole_0 = B | v1_funct_2(D,A,C) & m2_relset_1(D,A,C) & v1_funct_1(D)))) # label(t9_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1949 $T # label(t147_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1950 $T # label(t140_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1951 (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 -(r2_hidden(E,k2_funct_2(A,B,D,C)) & (all F (m1_subset_1(F,A) -> -(k1_funct_1(D,F) = E & r2_hidden(F,C)))))))) # label(t116_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1952 (all A all B all C all D all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,B,C) & v1_funct_2(F,B,C) -> -(-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))) & (B = k1_xboole_0 -> k1_xboole_0 = A) & (k1_xboole_0 = C -> k1_xboole_0 = B)))))) # label(t53_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1953 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> -(A != k1_xboole_0 & k1_xboole_0 != B & -(v2_funct_1(C) <-> (all D all E (v1_funct_2(E,D,A) & m2_relset_1(E,D,A) & v1_funct_1(E) -> (all F (m2_relset_1(F,D,A) & v1_funct_2(F,D,A) & v1_funct_1(F) -> (k1_partfun1(D,A,A,B,E,C) = k1_partfun1(D,A,A,B,F,C) -> E = F))))))))) # label(t27_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1954 $T # label(t94_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1955 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (r1_partfun1(D,E) & r1_partfun1(C,E) -> k1_xboole_0 != A & k1_xboole_0 = B | r1_partfun1(C,D)))))))) # label(t151_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1956 (all A (r2_hidden(A,f1_s9_funct_2) -> (-p1_s9_funct_2(A) -> r2_hidden(f4_s9_funct_2(A),f2_s9_funct_2)) & (p1_s9_funct_2(A) -> r2_hidden(f3_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) -> f4_s9_funct_2(B) = k1_funct_1(A,B)) & (p1_s9_funct_2(B) -> f3_s9_funct_2(B) = k1_funct_1(A,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]. 43.44/42.30 1957 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> (v2_funct_1(E) & k2_relat_1(k1_partfun1(A,B,B,C,D,E)) = C -> k1_xboole_0 = C | B = k2_relat_1(D)))))) # label(t28_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1958 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E -(r2_hidden(E,k2_funct_2(A,B,D,C)) & (all F -(r2_hidden(F,A) & E = k1_funct_1(D,F) & r2_hidden(F,C))))))) # label(t115_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1959 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> r1_tarski(k5_partfun1(A,B,C),k1_funct_2(A,B)))) # label(t159_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1960 (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) -> B = k1_xboole_0 & k1_xboole_0 != A | r1_tarski(C,k3_funct_2(A,B,D,k2_funct_2(A,B,D,C)))))) # label(t50_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1961 $T # label(t95_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1962 (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]. 43.44/42.30 1963 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> (v2_funct_1(C) <-> (all D all E (r2_hidden(D,A) & k1_funct_1(C,D) = k1_funct_1(C,E) & r2_hidden(E,A) -> E = D)))))) # label(t25_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1964 (exists A (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 -> f5_s10_funct_2(B) = k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,B)))) & m2_relset_1(A,f1_s10_funct_2,f2_s10_funct_2) & v1_funct_2(A,f1_s10_funct_2,f2_s10_funct_2) & v1_funct_1(A))) # label(s10_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1965 $T # label(t80_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1966 (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) -> k2_relat_1(C) = k2_funct_2(A,B,C,A)))) # label(t45_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1967 (all A exists B (m1_relset_1(B,A,A) & v1_relat_1(B) & v3_funct_2(B,A,A) & v2_funct_2(B,A,A) & v1_funct_2(B,A,A) & v2_funct_1(B) & v1_funct_1(B))) # label(rc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1968 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(k4_relset_1(A,B,D),k4_relset_1(A,B,C)) & r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) -> r1_tarski(D,C)))))) # label(t166_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1969 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (v2_funct_1(C) & v2_funct_2(C,A,B) <-> v3_funct_2(C,A,B)))) # label(d4_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1970 $T # label(t110_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1971 (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 -> A = k1_xboole_0) -> r2_hidden(C,k1_funct_2(A,B))))) # label(t11_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1972 (all A all B all C all D all E (-v1_xboole_0(B) & m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) & v1_funct_2(D,A,B) & v1_funct_1(D) -> k5_relat_1(D,E) = k7_funct_2(A,B,C,D,E))) # label(redefinition_k7_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1973 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> (v2_funct_1(k1_partfun1(A,B,B,C,D,E)) -> B = k1_xboole_0 & A != k1_xboole_0 | v2_funct_1(D) | B != k1_xboole_0 & C = k1_xboole_0))))) # label(t26_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1974 (all A all B (v1_funct_1(B) & m1_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) -> k2_funct_1(B) = k6_funct_2(A,B))) # label(redefinition_k6_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1975 $T # label(t111_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1976 $T # label(t1_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1977 (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,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> (v2_funct_1(k1_partfun1(A,B,B,C,D,E)) & B = k2_relat_1(D) -> 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]. 43.44/42.30 1978 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (v2_funct_1(B) & A = k2_relat_1(B) -> v1_funct_1(B) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A)))) # label(t83_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1979 (all A -(r2_hidden(A,f1_s1_funct_2) & (all B -(r2_hidden(B,f2_s1_funct_2) & p1_s1_funct_2(A,B))))) -> (exists A (v1_funct_1(A) & 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)))) & v1_funct_2(A,f1_s1_funct_2,f2_s1_funct_2))) # label(s1_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1980 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (v2_funct_1(C) & k2_relat_1(C) = B -> v1_funct_1(k2_funct_1(C)) & m2_relset_1(k2_funct_1(C),B,A) & v1_funct_2(k2_funct_1(C),B,A)))) # label(t31_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1981 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (r2_hidden(C,A) & r2_hidden(k1_funct_1(E,C),D) -> k1_xboole_0 = B | k1_funct_1(E,C) = k1_funct_1(k9_relset_1(A,B,D,E),C)))) # label(t41_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1982 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> -((B = k1_xboole_0 -> k1_xboole_0 = A) & (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (exists E (r2_hidden(E,k4_relset_1(A,B,C)) & k1_funct_1(D,E) != k1_funct_1(C,E)))))))) # label(t136_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1983 (all A all B all C (m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> (k4_relset_1(A,B,C) = A <-> v1_funct_2(C,A,B))) & (k1_xboole_0 = B -> (C = k1_xboole_0 <-> v1_funct_2(C,A,B)) | k1_xboole_0 = A))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1984 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1985 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (exists C (v1_funct_1(C) & r1_partfun1(B,C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A))))) # label(t149_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1986 $T # label(t163_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1987 (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) -> k1_xboole_0 = C | r2_hidden(k1_funct_1(F,k4_tarski(D,E)),C)))) # label(t119_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1988 (all A all B (m2_relset_1(B,A,A) -> k7_relset_1(A,A,A,A,B,k6_partfun1(A)) = B & B = k7_relset_1(A,A,A,A,k6_partfun1(A),B))) # label(t74_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1989 $T # label(t106_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1990 $T # label(t123_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1991 (exists A (v1_funct_2(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))) & m2_relset_1(A,f1_s4_funct_2,f2_s4_funct_2) & v1_funct_1(A))) # label(s4_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1992 (all A (A != k1_xboole_0 -> k1_xboole_0 = k1_funct_2(A,k1_xboole_0))) # label(t14_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1993 (all A all B all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(B,A) -> k1_funct_1(D,k1_funct_1(C,B)) = k1_funct_1(k5_relat_1(C,D),B)))))) # label(t70_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1994 $T # label(t81_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1995 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> ((all C all D (k1_funct_1(B,D) = k1_funct_1(B,C) & r2_hidden(D,A) & r2_hidden(C,A) -> D = C)) <-> v2_funct_1(B)))) # label(t77_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1996 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> ((all E B != k1_tarski(E)) & 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]. 43.44/42.30 1997 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (B = k2_relat_1(C) & v2_funct_1(C) & (all E all F ((k1_funct_1(C,F) = E & r2_hidden(F,A) -> k1_funct_1(D,E) = F & r2_hidden(E,B)) & (r2_hidden(E,B) & F = k1_funct_1(D,E) -> r2_hidden(F,A) & k1_funct_1(C,F) = E))) -> A = k1_xboole_0 | k2_funct_1(C) = D | k1_xboole_0 = B))))) # label(t34_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1998 (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(k9_relat_1(D,C),B))) # label(t44_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 1999 (all A all B all 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) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> ((all F all G (r2_hidden(G,B) & r2_hidden(F,A) -> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)))) -> D = E))))) # label(t118_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2000 $T # label(t107_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2001 $T # label(t108_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2002 (all A (m1_subset_1(A,f1_s3_funct_2) -> (exists B (m1_subset_1(B,f2_s3_funct_2) & p1_s3_funct_2(A,B))))) -> (exists A ((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)))) & m2_relset_1(A,f1_s3_funct_2,f2_s3_funct_2) & v1_funct_2(A,f1_s3_funct_2,f2_s3_funct_2) & v1_funct_1(A))) # label(s3_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2003 $T # label(t153_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2004 $T # label(t135_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2005 (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 = k3_funct_2(k1_xboole_0,A,C,B))) # label(t60_funct_2) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2006 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) -> (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]. 43.44/42.30 2007 (all A all B (r1_tarski(A,B) -> k6_relat_1(A) = k7_relat_1(k6_relat_1(B),A))) # label(t1_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2008 (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]. 43.44/42.30 2009 (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_funct_1(D) & v1_relat_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]. 43.44/42.30 2010 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_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]. 43.44/42.30 2011 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_2(E,A,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> -((B = k1_xboole_0 -> k1_xboole_0 = A) & -(v1_funct_2(k13_funct_3(D,E),A,k2_zfmisc_1(B,C)) & m2_relset_1(k13_funct_3(D,E),A,k2_zfmisc_1(B,C)) & v1_funct_1(k13_funct_3(D,E))) & (k1_xboole_0 = C -> A = k1_xboole_0)))))) # label(t78_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2012 (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,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]. 43.44/42.30 2013 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r1_tarski(B,k1_zfmisc_1(k1_relat_1(A))) & v2_funct_1(A) -> k9_relat_1(k1_funct_3(A),B) = k10_relat_1(k3_funct_3(A),B))))) # label(t37_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2014 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k9_relat_1(k1_funct_3(B),A)),k9_relat_1(B,k3_tarski(A))))) # label(t15_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2015 (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]. 43.44/42.30 2016 $T # label(t26_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2017 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k2_relat_1(B))))) # label(t12_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2018 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k7_funct_3(A,B) <-> k1_relat_1(C) = k2_zfmisc_1(A,B) & (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> k1_funct_1(C,k4_tarski(D,E)) = D))))) # label(d5_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2019 (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]. 43.44/42.30 2020 (exists A (k2_zfmisc_1(f1_s2_funct_3,f2_s2_funct_3) = k1_relat_1(A) & (all B all C (r2_hidden(C,f2_s2_funct_3) & r2_hidden(B,f1_s2_funct_3) -> f3_s2_funct_3(B,C) = k1_funct_1(A,k4_tarski(B,C)))) & v1_funct_1(A) & v1_relat_1(A))) # label(s2_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2021 $T # label(t67_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2022 (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) -> k13_funct_3(k5_relat_1(C,A),k5_relat_1(C,B)) = k5_relat_1(C,k13_funct_3(A,B)))))))) # label(t75_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2023 $T # label(t63_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2024 (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]. 43.44/42.30 2025 (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]. 43.44/42.30 2026 (all A (v1_funct_1(k12_funct_3(A)) & m2_relset_1(k12_funct_3(A),A,k2_zfmisc_1(A,A)) & v1_funct_2(k12_funct_3(A),A,k2_zfmisc_1(A,A)))) # label(dt_k12_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2027 (all A (v1_funct_1(A) & v1_relat_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]. 43.44/42.30 2028 (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]. 43.44/42.30 2029 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,C) & m2_relset_1(E,A,C) -> (all F (m1_subset_1(F,A) -> k4_tarski(k8_funct_2(A,B,D,F),k8_funct_2(A,C,E,F)) = k8_funct_2(A,k2_zfmisc_1(B,C),k14_funct_3(A,B,C,D,E),F))))))))))))) # label(t79_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2030 $T # label(t55_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2031 (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]. 43.44/42.30 2032 (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]. 43.44/42.30 2033 (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]. 43.44/42.30 2034 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((k1_xboole_0 = B -> k1_xboole_0 = A) -> 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)) & v1_funct_1(k1_funct_3(C))))) # label(t22_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2035 (all A all B k7_funct_3(A,B) = k9_funct_3(A,B)) # label(redefinition_k9_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2036 (all A (v1_relat_1(A) & v1_funct_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]. 43.44/42.30 2037 (all A all B all C all D (r2_hidden(A,f1_s1_funct_3) & p1_s1_funct_3(A,B,C) & p1_s1_funct_3(A,B,D) & r2_hidden(B,f2_s1_funct_3) -> C = D)) & (all A all B -(r2_hidden(B,f2_s1_funct_3) & (all C -p1_s1_funct_3(A,B,C)) & r2_hidden(A,f1_s1_funct_3))) -> (exists A (v1_relat_1(A) & v1_funct_1(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))))))) # label(s1_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2038 (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]. 43.44/42.30 2039 (all A all B (v1_relat_1(B) & v1_funct_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]. 43.44/42.30 2040 $T # label(t58_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2041 $T # label(t44_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2042 $T # label(t45_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.30 2043 (all A all B (v1_funct_1(B) & v1_relat_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]. 43.44/42.30 2044 (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,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> k7_funct_2(A,k2_zfmisc_1(B,C),B,k14_funct_3(A,B,C,D,E),k9_funct_3(B,C)) = D & k7_funct_2(A,k2_zfmisc_1(B,C),C,k14_funct_3(A,B,C,D,E),k10_funct_3(B,C)) = E)))))))) # label(t82_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2045 (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]. 43.44/42.31 2046 (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]. 43.44/42.31 2047 (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]. 43.44/42.31 2048 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,A,C) & v1_funct_2(F,A,C) -> (all G (m2_relset_1(G,A,C) & v1_funct_2(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 | k1_xboole_0 != A & k1_xboole_0 = C | G = F & D = E))))))))) # label(t83_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2049 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> k3_xboole_0(k10_relat_1(C,A),k10_relat_1(D,B)) = k10_relat_1(k13_funct_3(C,D),k2_zfmisc_1(A,B)))))))) # label(t77_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2050 $T # label(t65_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2051 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k2_zfmisc_1(k10_relat_1(C,A),k10_relat_1(D,B)) = k10_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)))))) # label(t94_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2052 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_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) <-> B = k3_funct_3(A)))))) # label(d2_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2053 (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]. 43.44/42.31 2054 $T # label(t41_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2055 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k2_zfmisc_1(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]. 43.44/42.31 2056 (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(C) = k2_zfmisc_1(A,B) & k1_relat_1(D) = k2_zfmisc_1(A,B) & (all E all F (r2_hidden(F,B) & r2_hidden(E,A) -> k1_funct_1(D,k4_tarski(E,F)) = k1_funct_1(C,k4_tarski(E,F)))) -> C = D))))) # label(t6_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2057 (all A all B all C (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> k2_funct_3(A,B,C) = k1_funct_3(C))) # label(redefinition_k2_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2058 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) & r1_tarski(A,k2_relat_1(k5_relat_1(B,C))) -> r1_tarski(k10_relat_1(C,A),k2_relat_1(B))))))) # label(t4_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2059 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_3(B))) -> k10_relat_1(B,A) = k1_funct_1(k3_funct_3(B),A)))) # label(t24_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2060 (all A (v1_relat_1(A) & v1_funct_1(A) -> m2_relset_1(k3_funct_3(A),k1_zfmisc_1(k2_relat_1(A)),k1_zfmisc_1(k1_relat_1(A))) & v1_funct_2(k3_funct_3(A),k1_zfmisc_1(k2_relat_1(A)),k1_zfmisc_1(k1_relat_1(A))) & v1_funct_1(k3_funct_3(A)))) # label(t39_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2061 $T # label(d4_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2062 (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(k10_relat_1(k1_funct_3(D),B),k1_zfmisc_1(A)))))) # label(t14_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2063 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,k1_relat_1(B)) & r1_tarski(k9_relat_1(B,A),k1_relat_1(C)) -> r1_tarski(A,k1_relat_1(k5_relat_1(B,C)))))))) # label(t3_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2064 $T # label(t57_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2065 (all A all B k8_funct_3(A,B) = k10_funct_3(A,B)) # label(redefinition_k10_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2066 (all A all B all C all D all E all F (v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) -> 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]. 43.44/42.31 2067 $T # label(t64_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2068 (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(k9_relat_1(k3_funct_3(B),A))))) # label(t30_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2069 (all A all B all C (k4_funct_3(C,B) = k4_funct_3(A,B) & r1_tarski(C,B) & r1_tarski(A,B) -> C = A)) # label(t47_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2070 $T # label(t85_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2071 (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]. 43.44/42.31 2072 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & A = k1_relat_1(B) -> k1_relat_1(k13_funct_3(B,C)) = A))))) # label(t70_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2073 (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]. 43.44/42.31 2074 (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]. 43.44/42.31 2075 (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]. 43.44/42.31 2076 (all A (v1_relat_1(A) & v1_funct_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]. 43.44/42.31 2077 (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]. 43.44/42.31 2078 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(C) = k1_relat_1(D) & k13_funct_3(D,C) = k13_funct_3(A,B) & k1_relat_1(A) = k1_relat_1(B) -> D = A & C = B))))))))) # label(t74_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2079 (all A all B all C all D all E (m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_2(D,A,B) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k14_funct_3(A,B,C,D,E) = k13_funct_3(D,E))) # label(redefinition_k14_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2080 (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)) -> k2_funct_2(A,C,D,k3_tarski(B)) = k3_tarski(k9_relat_1(k1_funct_3(D),B))))))) # label(t17_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2081 (all A all B (A != k1_xboole_0 -> B = k2_relat_1(k7_funct_3(B,A)))) # label(t60_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2082 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & -v1_xboole_0(B) -> v1_funct_2(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & m2_relset_1(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & v1_funct_1(k2_funct_3(A,B,C)))) # label(dt_k2_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2083 (all A k11_funct_3(A) = k12_funct_3(A)) # label(redefinition_k12_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2084 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k9_relat_1(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]. 43.44/42.31 2085 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k1_funct_3(k5_relat_1(A,B)) = k5_relat_1(k1_funct_3(A),k1_funct_3(B)))))) # label(t20_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2086 (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]. 43.44/42.31 2087 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r1_tarski(B,k1_zfmisc_1(k1_relat_1(A))) -> r1_tarski(k10_relat_1(k3_funct_3(A),B),k9_relat_1(k1_funct_3(A),B)))))) # label(t35_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2088 $T # label(t54_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2089 (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_funct_1(D) & v1_relat_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]. 43.44/42.31 2090 (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) -> (k13_funct_3(A,B) = 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))) & k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C)))))))) # label(d8_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2091 (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]. 43.44/42.31 2092 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_zfmisc_1(k2_relat_1(B))) -> k3_tarski(k10_relat_1(k1_funct_3(B),A)) = k10_relat_1(B,k3_tarski(A))))) # label(t19_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2093 (all A all B all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_2(E,A,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> (all F (v1_funct_2(F,B,D) & m2_relset_1(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]. 43.44/42.31 2094 (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]. 43.44/42.31 2095 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> k10_relat_1(k1_funct_3(B),A) = k9_relat_1(k3_funct_3(B),A)))) # label(t34_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2096 (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_1(E) & v1_funct_2(E,A,C) & m2_relset_1(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]. 43.44/42.31 2097 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r1_tarski(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k9_relat_1(A,C))) & k1_relat_1(B) = k1_zfmisc_1(k1_relat_1(A)) <-> k1_funct_3(A) = B))))) # label(d1_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2098 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (C = k8_funct_3(A,B) <-> k1_relat_1(C) = k2_zfmisc_1(A,B) & (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> E = k1_funct_1(C,k4_tarski(D,E))))))) # label(d6_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2099 (all A all B (v1_funct_1(k9_funct_3(A,B)) & v1_funct_2(k9_funct_3(A,B),k2_zfmisc_1(A,B),A) & m2_relset_1(k9_funct_3(A,B),k2_zfmisc_1(A,B),A))) # label(dt_k9_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2100 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,C,D) & v1_funct_2(F,C,D) -> -((B = k1_xboole_0 -> A = k1_xboole_0) & k16_funct_3(A,C,B,D,E,F) != k13_funct_3(k5_relat_1(k9_funct_3(A,C),E),k5_relat_1(k10_funct_3(A,C),F)) & (k1_xboole_0 = D -> k1_xboole_0 = C)))))) # label(t97_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2101 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_2(F,C,D) & m2_relset_1(F,C,D) & v1_funct_1(F) -> v1_funct_1(k15_funct_3(E,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)))))) # label(t95_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2102 (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]. 43.44/42.31 2103 $T # label(t51_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2104 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,A) -> k4_tarski(C,C) = k1_funct_1(B,C))) & A = k1_relat_1(B) <-> k11_funct_3(A) = B))) # label(d7_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2105 (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) -> (k2_zfmisc_1(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) & (all D all E (r2_hidden(E,k1_relat_1(B)) & r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(C,k4_tarski(D,E)) = k4_tarski(k1_funct_1(A,D),k1_funct_1(B,E)))) <-> C = k15_funct_3(A,B)))))))) # label(d9_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2106 (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 (m2_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) -> -((C = k1_xboole_0 -> k1_xboole_0 = A) & -(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) & (B = k1_xboole_0 -> k1_xboole_0 = A)))))) # label(t81_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2107 (all A all B k6_relat_1(k2_zfmisc_1(A,B)) = k15_funct_3(k6_relat_1(A),k6_relat_1(B))) # label(t90_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2108 (all A all B (m2_relset_1(B,A,k2_tarski(np__0,np__1)) & v1_funct_2(B,A,k2_tarski(np__0,np__1)) & v1_funct_1(B) -> k4_funct_3(k3_funct_2(A,k2_tarski(np__0,np__1),B,k1_tarski(np__1)),A) = B)) # label(t49_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2109 (all A all B all C all D all E (-v1_xboole_0(C) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & m1_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) & -v1_xboole_0(B) -> v1_funct_1(k14_funct_3(A,B,C,D,E)) & 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)))) # label(dt_k14_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2110 (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]. 43.44/42.31 2111 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k1_funct_3(A)) & v1_funct_1(k1_funct_3(A)))) # label(dt_k1_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2112 $T # label(t40_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2113 (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]. 43.44/42.31 2114 (all A all B (v1_relat_1(B) & v1_funct_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]. 43.44/42.31 2115 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),B) & r1_tarski(k2_relat_1(C),A) & k1_relat_1(C) = k1_relat_1(D) -> k5_relat_1(k13_funct_3(C,D),k9_funct_3(A,B)) = C & D = k5_relat_1(k13_funct_3(C,D),k10_funct_3(A,B))))))) # label(t72_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2116 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_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]. 43.44/42.31 2117 (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]. 43.44/42.31 2118 (all A all B (v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_relat_1(A) -> v1_relat_1(k15_funct_3(A,B)) & v1_funct_1(k15_funct_3(A,B)))) # label(dt_k15_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2119 (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,B) & B = k1_relat_1(D) & k1_relat_1(C) = B -> 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]. 43.44/42.31 2120 (all A all B all C all D all E all F (v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(F) & m1_relset_1(F,B,D) & v1_funct_2(F,B,D) -> k15_funct_3(E,F) = k16_funct_3(A,B,C,D,E,F))) # label(redefinition_k16_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2121 $T # label(t46_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2122 (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]. 43.44/42.31 2123 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = B & (all D (r2_hidden(D,B) -> (r2_hidden(D,A) -> np__1 = k1_funct_1(C,D)) & (-r2_hidden(D,A) -> np__0 = k1_funct_1(C,D)))) <-> C = k4_funct_3(A,B)))) # label(d3_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2124 $T # label(t7_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2125 (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]. 43.44/42.31 2126 (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 (v1_funct_1(F) & v1_funct_2(F,C,D) & m2_relset_1(F,C,D) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,C) -> k4_tarski(k8_funct_2(A,B,E,G),k8_funct_2(C,D,F,H)) = k1_funct_1(k16_funct_3(A,C,B,D,E,F),k4_tarski(G,H)))))))))))))))))) # label(t96_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2127 (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 -> 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]. 43.44/42.31 2128 (all A all B (v1_funct_1(k10_funct_3(A,B)) & v1_funct_2(k10_funct_3(A,B),k2_zfmisc_1(A,B),B) & m2_relset_1(k10_funct_3(A,B),k2_zfmisc_1(A,B),B))) # label(dt_k10_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2129 (all A all B all C (r2_hidden(A,k4_xboole_0(B,C)) -> k1_funct_1(k4_funct_3(C,B),A) = np__0)) # label(t43_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2130 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) & r1_tarski(A,k1_zfmisc_1(k1_relat_1(B))) -> k9_relat_1(B,k3_tarski(A)) = k3_tarski(k10_relat_1(k3_funct_3(B),A))))) # label(t32_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2131 $T # label(t50_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2132 (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]. 43.44/42.31 2133 (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,B) & m2_relset_1(E,A,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,A,C) & m2_relset_1(F,A,C) -> (all G (v1_funct_1(G) & v1_funct_2(G,A,C) & m2_relset_1(G,A,C) -> (k14_funct_3(A,B,C,E,G) = k14_funct_3(A,B,C,D,F) -> E = D & F = G))))))))))))) # label(t84_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2134 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k6_funct_3(A,B) = k7_relat_1(k6_relat_1(A),B))) # label(t53_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2135 $T # label(t11_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2136 $T # label(t23_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2137 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k1_relat_1(k5_relat_1(B,C))) -> r1_tarski(k9_relat_1(B,A),k1_relat_1(C))))))) # label(t2_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2138 (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]. 43.44/42.31 2139 (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]. 43.44/42.31 2140 $T # label(t52_funct_3) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2141 (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]. 43.44/42.31 2142 $T # label(t7_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2143 $T # label(t11_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2144 $T # label(t8_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2145 $T # label(t39_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2146 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_0_domain_1(B)) <-> (exists C (A = C & m1_subset_1(C,B)))))) # label(fraenkel_a_1_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2147 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,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]. 43.44/42.31 2148 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> a_4_0_domain_1(A,B,C,D) = k4_zfmisc_1(A,B,C,D))))))))) # label(t51_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2149 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) -> k14_mcart_1(A,B,C,D,E,F,G,H) = a_8_0_domain_1(A,B,C,D,E,F,G,H))))))))))))))))) # label(t55_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2150 (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_5_domain_1(A,B,C))))))) # label(t62_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2151 (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 (m1_subset_1(E,C) & p1_s2_domain_1(D,E) & k1_domain_1(B,C,D,E) = A & m1_subset_1(D,B)))))) # label(fraenkel_a_2_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2152 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> a_2_1_domain_1(A,B) = B)))) # label(t52_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2153 (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]. 43.44/42.31 2154 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (p1_s6_domain_1(B) <-> p2_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]. 43.44/42.31 2155 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(B) -> k19_mcart_1(D) = k16_domain_1(A,B,C,D))) # label(redefinition_k16_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2156 (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) -> m1_subset_1(k16_domain_1(A,B,C,D),B))) # label(dt_k16_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2157 (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 (m1_subset_1(G,C) & (exists H ((exists I (A = k4_mcart_1(F,G,H,I) & m1_subset_1(I,E))) & m1_subset_1(H,D)))))))))))))))) # label(t31_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2158 $T # label(t1_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2159 (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]. 43.44/42.31 2160 (all A all B all C all D all E all F (-v1_xboole_0(C) & m1_subset_1(D,A) & m1_subset_1(F,C) & m1_subset_1(E,B) & -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]. 43.44/42.31 2161 $T # label(t27_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2162 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> -(r2_hidden(A,k2_zfmisc_1(B,C)) & (all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,C) -> A != k4_tarski(D,E)))))))))) # label(t9_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.44/42.31 2163 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,B) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k1_domain_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2164 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k7_domain_1(A,C,B) = k7_domain_1(A,B,C))) # label(commutativity_k7_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2165 (all A all B all C all D all E all F all G all H (-v1_xboole_0(C) & -v1_xboole_0(D) & m1_subset_1(H,D) & m1_subset_1(G,C) & m1_subset_1(F,B) & m1_subset_1(E,A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k5_domain_1(A,B,C,D,E,F,G,H) = k4_mcart_1(E,F,G,H))) # label(redefinition_k5_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2166 (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]. 43.46/42.31 2167 (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) -> A = H))))))))) <-> k9_mcart_1(B,C,D,E,F) = A))))))))))) # label(t41_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2168 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k2_tarski(B,C) = k7_domain_1(A,B,C))) # label(redefinition_k7_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2169 (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) -> J = A))))))))) <-> k11_mcart_1(B,C,D,E,F) = A))))))))))) # label(t43_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2170 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> (r2_hidden(A,a_3_2_domain_1(B,C,D)) <-> (exists E (E = A & (r2_hidden(E,C) | r2_hidden(E,D)) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2171 $T # label(t18_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2172 $T # label(t47_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2173 (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,C) & m1_subset_1(H,D) & m1_subset_1(F,B) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> 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]. 43.46/42.31 2174 $T # label(t30_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2175 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> a_2_0_domain_1(A,B) = k2_zfmisc_1(A,B))))) # label(t49_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2176 (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_1_domain_1(B,C,D)) <-> (exists E (E = A & r2_hidden(E,D) & r2_hidden(E,C) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2177 (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]. 43.46/42.31 2178 (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 (m1_subset_1(J,E) & F = k4_mcart_1(G,H,I,J))))))))) <-> r2_hidden(F,A))) -> k4_zfmisc_1(B,C,D,E) = A))))))))))) # label(t32_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2179 (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]. 43.46/42.31 2180 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> ((exists E (-r2_hidden(E,D) & r2_hidden(E,C) & E = A & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_3_domain_1(B,C,D))))) # label(fraenkel_a_3_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2181 (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]. 43.46/42.31 2182 (all A ((exists B (m1_subset_1(B,f1_s10_domain_1) & B = A & p1_s10_domain_1(B))) <-> r2_hidden(A,a_0_4_domain_1))) # label(fraenkel_a_0_4_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2183 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(A) -> k1_mcart_1(C) = k2_domain_1(A,B,C))) # label(redefinition_k2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2184 $T # label(t22_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2185 (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]. 43.46/42.31 2186 (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]. 43.46/42.31 2187 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> ((all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (E = k4_domain_1(B,C,D,F,G,H) -> G = A))))))) <-> A = k6_mcart_1(B,C,D,E)))))))))) # label(t25_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2188 (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) & k1_domain_1(B,C,F,G) = A & 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]. 43.46/42.31 2189 (all A ((exists B exists C (m1_subset_1(B,f1_s9_domain_1) & A = f4_s9_domain_1(B,C) & p1_s9_domain_1(B,C) & m1_subset_1(C,f2_s9_domain_1))) <-> r2_hidden(A,a_0_2_domain_1))) # label(fraenkel_a_0_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2190 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k7_domain_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2191 (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]. 43.46/42.31 2192 $T # label(t14_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2193 $T # label(t2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2194 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,C) = a_3_2_domain_1(A,B,C))))))) # label(t59_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2195 (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) -> k17_mcart_1(D) = k14_domain_1(A,B,C,D))) # label(redefinition_k14_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2196 $T # label(t23_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2197 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> k12_mcart_1(A,B,C,D) = a_4_1_domain_1(A,B,C,D))))))))) # label(t53_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2198 (all A (-v1_xboole_0(A) -> A = a_1_0_domain_1(A))) # label(t48_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2199 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & C = A & -$T)) <-> r2_hidden(A,a_1_1_domain_1(B))))) # label(fraenkel_a_1_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2200 $T # label(t34_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2201 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(D) & -v1_xboole_0(E) & 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(C) & -v1_xboole_0(B) -> (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(K,C) & m1_subset_1(L,D) & m1_subset_1(M,E) & r2_hidden(K,G) & r2_hidden(M,I) & r2_hidden(L,H) & r2_hidden(J,F) & k5_domain_1(B,C,D,E,J,K,L,M) = A & m1_subset_1(J,B)))))) # label(fraenkel_a_8_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2202 (all A (r2_hidden(A,a_0_3_domain_1) <-> (exists B (B = A & p1_s10_domain_1(B) & p2_s10_domain_1(B) & m1_subset_1(B,f1_s10_domain_1))))) # label(fraenkel_a_0_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2203 (all A all B all C all D all E all F all G (m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> m1_subset_1(k11_domain_1(A,B,C,D,E,F,G),k1_zfmisc_1(A)))) # label(dt_k11_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2204 $T # label(t44_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2205 $T # label(t46_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2206 (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]. 43.46/42.31 2207 (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(k8_domain_1(A,B,C,D),k1_zfmisc_1(A)))) # label(dt_k8_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2208 (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]. 43.46/42.31 2209 $T # label(t5_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2210 (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]. 43.46/42.31 2211 (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(k3_domain_1(A,B,C),B))) # label(dt_k3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2212 (all A (-v1_xboole_0(A) -> k1_subset_1(A) = a_1_1_domain_1(A))) # label(t56_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2213 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & -v1_xboole_0(E) -> ((exists F exists G exists H exists I (m1_subset_1(H,D) & m1_subset_1(I,E) & A = k5_domain_1(B,C,D,E,F,G,H,I) & m1_subset_1(G,C) & m1_subset_1(F,B))) <-> r2_hidden(A,a_4_0_domain_1(B,C,D,E))))) # label(fraenkel_a_4_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.31 2214 (all A all B all C all D all E all F all G (m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(D)) & m1_subset_1(F,k1_zfmisc_1(C)) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> ((exists H exists I exists J (m1_subset_1(H,B) & m1_subset_1(J,D) & r2_hidden(H,E) & r2_hidden(J,G) & r2_hidden(I,F) & A = k4_domain_1(B,C,D,H,I,J) & m1_subset_1(I,C))) <-> 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]. 43.46/42.32 2215 $T # label(t3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 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_7_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & A = E & -(r2_hidden(E,C) <-> r2_hidden(E,D))))))) # label(fraenkel_a_3_7_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2217 $T # label(t38_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2218 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) -> k2_mcart_1(C) = k3_domain_1(A,B,C))) # label(redefinition_k3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2219 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> (A = k7_mcart_1(B,C,D,E) <-> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (k4_domain_1(B,C,D,F,G,H) = E -> A = H)))))))))))))))) # label(t26_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2220 (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)) -> (k5_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) -> (k4_domain_1(B,C,D,F,G,H) = E -> A = F)))))))))))))))) # label(t24_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2221 $T # label(t6_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2222 (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 (m1_subset_1(E,B) & A = E & (r2_hidden(E,C) & -r2_hidden(E,D) | r2_hidden(E,D) & -r2_hidden(E,C)))) <-> r2_hidden(A,a_3_4_domain_1(B,C,D))))) # label(fraenkel_a_3_4_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2223 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((all E ((exists F ((exists G (m1_subset_1(G,C) & (exists H (k3_mcart_1(F,G,H) = E & m1_subset_1(H,D))))) & m1_subset_1(F,B))) <-> r2_hidden(E,A))) -> A = k3_zfmisc_1(B,C,D)))))))))) # label(t16_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2224 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_2_domain_1(B,C)) <-> (exists D (-r2_hidden(D,C) & D = A & m1_subset_1(D,B)))))) # label(fraenkel_a_2_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2225 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & p2_s6_domain_1(C) & A = C)) <-> r2_hidden(A,a_1_6_domain_1(B))))) # label(fraenkel_a_1_6_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2226 (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) -> k9_domain_1(A,B,C,D,E) = k2_enumset1(B,C,D,E))) # label(redefinition_k9_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2227 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k17_domain_1(A,B,C,D) = k20_mcart_1(D))) # label(redefinition_k17_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2228 (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(E,B) & m1_subset_1(F,C) & m1_subset_1(G,D) & A = k4_domain_1(B,C,D,E,F,G))) <-> r2_hidden(A,a_3_0_domain_1(B,C,D))))) # label(fraenkel_a_3_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2229 (all A all B all C (-v1_xboole_0(C) & -v1_xboole_0(B) -> ((exists D exists E (m1_subset_1(D,B) & A = k1_domain_1(B,C,D,E) & m1_subset_1(E,C))) <-> r2_hidden(A,a_2_0_domain_1(B,C))))) # label(fraenkel_a_2_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2230 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> (k8_mcart_1(A,B,C,D,E) = k8_mcart_1(A,B,C,D,F) & k9_mcart_1(A,B,C,D,F) = k9_mcart_1(A,B,C,D,E) & 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) -> E = F))))))))))))) # label(t45_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2231 (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]. 43.46/42.32 2232 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) -> ((exists D (m1_subset_1(D,B) & A = D & r2_hidden(D,C))) <-> r2_hidden(A,a_2_1_domain_1(B,C))))) # label(fraenkel_a_2_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2233 $T # label(t36_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2234 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> (k5_mcart_1(A,B,C,E) = k5_mcart_1(A,B,C,D) & 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) -> D = E))))))))))) # label(t28_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2235 (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_8_domain_1(B,C,D)) <-> (exists E exists F exists G (m1_subset_1(G,D) & A = k4_domain_1(B,C,D,E,F,G) & p1_s3_domain_1(E,F,G) & m1_subset_1(F,C) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_8_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2236 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(D) & -v1_xboole_0(E) & -v1_xboole_0(C) -> (r2_hidden(A,a_4_2_domain_1(B,C,D,E)) <-> (exists F exists G exists H exists I (m1_subset_1(G,C) & m1_subset_1(H,D) & m1_subset_1(I,E) & p1_s4_domain_1(F,G,H,I) & A = k5_domain_1(B,C,D,E,F,G,H,I) & m1_subset_1(F,B)))))) # label(fraenkel_a_4_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2237 (all A all B all C all D all E all F all G all H (m1_subset_1(C,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(B,A) & -v1_xboole_0(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]. 43.46/42.32 2238 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_domain_1(B)) <-> (exists C (C = A & p1_s1_domain_1(C) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2239 (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]. 43.46/42.32 2240 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_4_domain_1(B)) <-> (exists C (A = C & p2_s5_domain_1(C) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_4_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2241 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(F,C) & m1_subset_1(E,B) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k4_domain_1(A,B,C,D,E,F) = k3_mcart_1(D,E,F))) # label(redefinition_k4_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2242 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k6_domain_1(A,B) = k1_tarski(B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2243 (all A ((exists B (m1_subset_1(B,f1_s10_domain_1) & p2_s10_domain_1(B) & A = B)) <-> r2_hidden(A,a_0_5_domain_1))) # label(fraenkel_a_0_5_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.46/42.32 2244 (all A all B all C all D all E all F all G (m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(B,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]. 43.46/42.32 2245 (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]. 43.47/42.32 2246 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (r2_hidden(A,k3_zfmisc_1(B,C,D)) <-> (exists E ((exists F ((exists G (m1_subset_1(G,D) & k3_mcart_1(E,F,G) = A)) & m1_subset_1(F,C))) & m1_subset_1(E,B)))))))))) # label(t15_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2247 $T # label(t21_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2248 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> ((all F (r2_hidden(F,A) <-> (exists G ((exists H (m1_subset_1(H,C) & (exists I (m1_subset_1(I,D) & (exists J (k4_mcart_1(G,H,I,J) = F & m1_subset_1(J,E))))))) & m1_subset_1(G,B))))) <-> A = k4_zfmisc_1(B,C,D,E)))))))))))) # label(t33_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2249 $T # label(t29_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2250 (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(D) = k1_mcart_1(C) & k2_mcart_1(C) = k2_mcart_1(D) -> D = C))))))))) # label(t12_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2251 (all A ((exists B (A = f3_s8_domain_1(B) & p1_s8_domain_1(B) & m1_subset_1(B,f1_s8_domain_1))) <-> r2_hidden(A,a_0_1_domain_1))) # label(fraenkel_a_0_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2252 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & C = A & p1_s5_domain_1(C))) <-> r2_hidden(A,a_1_3_domain_1(B))))) # label(fraenkel_a_1_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2253 (all A all B all C all D (m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k8_domain_1(A,B,C,D) = k1_enumset1(B,C,D))) # label(redefinition_k8_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2254 (all A (r2_hidden(A,a_0_0_domain_1) <-> (exists B (m1_subset_1(B,f1_s7_domain_1) & A = B & p1_s7_domain_1(B))))) # label(fraenkel_a_0_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2255 $T # label(t19_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2256 (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) -> k18_mcart_1(D) = k15_domain_1(A,B,C,D))) # label(redefinition_k15_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2257 $T # label(t37_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2258 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> m1_subset_1(k15_domain_1(A,B,C,D),B))) # label(dt_k15_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2259 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_5_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & (r2_hidden(E,D) <-> -r2_hidden(E,C)) & A = E))))) # label(fraenkel_a_3_5_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2260 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((all E (r2_hidden(E,A) <-> (exists F ((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))))) <-> A = k3_zfmisc_1(B,C,D)))))))))) # label(t17_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2261 (all A all B all C all D all E all F (m1_subset_1(B,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & -v1_xboole_0(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]. 43.47/42.32 2262 $T # label(t13_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2263 (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)) & E = A))))) # label(fraenkel_a_3_6_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2264 $T # label(t4_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2265 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> (k8_mcart_1(B,C,D,E,F) = A <-> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (k5_domain_1(B,C,D,E,G,H,I,J) = F -> G = A)))))))))))))))))))) # label(t40_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2266 (all A all B all C all D all E all F all G all H (m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(E,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]. 43.47/42.32 2267 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) -> m1_subset_1(k2_domain_1(A,B,C),A))) # label(dt_k2_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2268 $T # label(t20_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2269 (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]. 43.47/42.32 2270 (all A all B all C all D all E all F (m1_subset_1(B,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k10_domain_1(A,B,C,D,E,F) = k3_enumset1(B,C,D,E,F))) # label(redefinition_k10_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2271 $T # label(t10_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2272 (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) -> I = A))))))))) <-> k10_mcart_1(B,C,D,E,F) = A))))))))))) # label(t42_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2273 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(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]. 43.47/42.32 2274 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2275 $T # label(t35_domain_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2276 (all A all B all C all D all E all F all G all H all I (m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(I,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(B,A) & -v1_xboole_0(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]. 43.47/42.32 2277 (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(D,A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_subset_1(I,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(C,A) & m1_subset_1(B,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]. 43.47/42.32 2278 $T # label(t4_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2279 $T # label(t10_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2280 (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) -> (v3_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> k1_binop_1(B,C,C) = C))))) # label(d4_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2281 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,C,D,k2_binop_1(A,A,A,B,E,F)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),k2_binop_1(A,A,A,C,D,F)))))))) <-> r6_binop_1(A,C,B))))))))) # label(t24_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2282 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> D = k1_binop_1(C,D,B))) <-> r2_binop_1(A,B,C)))))) # label(d6_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2283 (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s2_binop_1) -> (all C (m1_subset_1(C,f1_s2_binop_1) -> k2_binop_1(f1_s2_binop_1,f1_s2_binop_1,f1_s2_binop_1,A,B,C) = f2_s2_binop_1(B,C))))) & m2_relset_1(A,k2_zfmisc_1(f1_s2_binop_1,f1_s2_binop_1),f1_s2_binop_1) & v1_funct_2(A,k2_zfmisc_1(f1_s2_binop_1,f1_s2_binop_1),f1_s2_binop_1))) # label(s2_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2284 (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) -> ((all D (m1_subset_1(D,A) -> D = k1_binop_1(B,C,D))) <-> r3_binop_1(A,C,B))))))) # label(t12_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2285 $T # label(t21_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2286 (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) -> (all D (m1_subset_1(D,A) -> (r1_binop_1(A,C,B) & r2_binop_1(A,D,B) -> C = D))))))) # label(t17_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2287 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> ((exists C (m1_subset_1(C,A) & r3_binop_1(A,C,B))) -> (all C (m1_subset_1(C,A) -> (C = k3_binop_1(A,B) <-> r3_binop_1(A,C,B))))))) # label(d8_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2288 (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) -> (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]. 43.47/42.32 2289 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (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]. 43.47/42.32 2290 $T # label(t8_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2291 (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_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) & v2_binop_1(A,k1_xboole_0) & v1_binop_1(A,k1_xboole_0) & v1_xboole_0(A) & v1_funct_1(A)))) # label(cc1_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2292 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r1_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> D = k1_binop_1(C,B,D)))))))) # label(d5_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2293 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r3_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> D = k1_binop_1(B,D,C))))))))) # label(t13_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2294 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r1_binop_1(A,B,C) & r2_binop_1(A,B,C) <-> r3_binop_1(A,B,C)))))) # label(d7_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2295 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (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]. 43.47/42.32 2296 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r3_binop_1(A,C,B) & r3_binop_1(A,D,B) -> C = D))))))) # label(t18_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2297 (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) -> (v1_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k1_binop_1(B,C,D) = k1_binop_1(B,D,C)))))))) # label(d2_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 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) -> (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) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,E),k2_binop_1(A,A,A,B,D,F)) = k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,E,F))))))))))))))) # label(d18_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2299 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (v3_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> C = k2_binop_1(A,A,A,B,C,C)))))))) # label(d15_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2300 $T # label(t19_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2301 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r7_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k8_funct_2(A,A,B,k2_binop_1(A,A,A,C,D,E)) = k2_binop_1(A,A,A,C,k8_funct_2(A,A,B,D),k8_funct_2(A,A,B,E))))))))))))) # label(d20_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2302 $T # label(t22_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2303 (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) -> (r5_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),F) = k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,F),k2_binop_1(A,A,A,B,E,F))))))))))))))) # label(d19_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2304 (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]. 43.47/42.32 2305 $T # label(t7_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2306 (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) -> (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,C,k2_binop_1(A,A,A,B,D,E)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,B,C,D),E)))))))))))) # label(d14_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2307 $T # label(t3_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2308 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) -> (r4_binop_1(A,C,B) <-> r5_binop_1(A,C,B))))))))) # label(t28_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2309 (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_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]. 43.47/42.32 2310 (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) -> (r6_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,F),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),F))))))))))))))) # label(t25_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2311 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(F,B) & m1_subset_1(E,A) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2312 $T # label(t9_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2313 $T # label(t6_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2314 (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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r6_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k1_binop_1(B,D,k1_binop_1(C,E,F)) = k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)) & k1_binop_1(C,k1_binop_1(B,D,F),k1_binop_1(B,E,F)) = k1_binop_1(B,k1_binop_1(C,D,E),F)))))))))))) # label(t23_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2315 $T # label(t20_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2316 (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) <-> r3_binop_1(A,C,B))))))) # label(t15_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2317 (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_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) -> (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)))))))) <-> r4_binop_1(A,B,C)))))) # label(d9_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2318 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,B),C) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> k2_binop_1(A,B,C,D,F,G) = k2_binop_1(A,B,C,E,F,G))))) -> D = E))))))))))) # label(t2_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2319 (all A (m1_subset_1(A,f1_s1_binop_1) -> (all B (m1_subset_1(B,f1_s1_binop_1) -> (exists C (m1_subset_1(C,f1_s1_binop_1) & p1_s1_binop_1(A,B,C))))))) -> (exists A (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_2(A,k2_zfmisc_1(f1_s1_binop_1,f1_s1_binop_1),f1_s1_binop_1) & v1_funct_1(A))) # label(s1_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2320 (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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r5_binop_1(A,B,C) & r4_binop_1(A,B,C) <-> r6_binop_1(A,B,C)))))) # label(d11_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2321 (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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r5_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k1_binop_1(B,k1_binop_1(C,D,E),F) = k1_binop_1(C,k1_binop_1(B,D,F),k1_binop_1(B,E,F))))))))))))) # label(d10_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2322 $T # label(t1_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2323 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r7_binop_1(A,B,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))))))))))) # label(d12_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2324 $T # label(t5_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2325 (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) -> (r1_binop_1(A,C,B) <-> r3_binop_1(A,C,B))))))) # label(t14_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2326 (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_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) -> (r6_binop_1(A,C,B) <-> r5_binop_1(A,C,B))))))))) # label(t27_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2327 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2328 (all A all B all C all D all E all F (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(F,B) & m1_subset_1(E,A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2329 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (r3_binop_1(A,C,B) <-> (all D (m1_subset_1(D,A) -> k1_binop_1(B,C,D) = D & D = k1_binop_1(B,D,C)))))))) # label(t11_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (v1_binop_1(C,A) -> (r4_binop_1(A,C,B) <-> r6_binop_1(A,C,B))))))))) # label(t26_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2331 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> k2_binop_1(A,A,A,C,B,D) = D)) <-> r1_binop_1(A,B,C)))))))) # label(d16_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2332 (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) -> m1_subset_1(k3_binop_1(A,B),A))) # label(dt_k3_binop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2333 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k13_funct_3(A,B) = k1_funcop_1(k13_funct_3(B,A)))))) # label(t6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2334 (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 all E (v1_relat_1(E) & v1_funct_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]. 43.47/42.32 2335 (all A all B (A != k1_xboole_0 -> k2_relat_1(k2_funcop_1(A,B)) = k1_tarski(B))) # label(t14_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2336 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k8_funct_2(B,A,k8_funcop_1(A,B,C,E,D),F) = k2_binop_1(A,A,A,C,E,k8_funct_2(B,A,D,F)))))))))))))) # label(t66_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2337 (all A all B all C (v1_relat_1(A) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_1(A) -> v1_funct_1(k5_funcop_1(A,B,C)) & v1_relat_1(k5_funcop_1(A,B,C)))) # label(fc6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2338 (all A all B all C all D all E (v1_funct_1(C) & 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_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k6_funcop_1(A,B,C,D,E)) & m2_relset_1(k6_funcop_1(A,B,C,D,E),B,A) & v1_funct_2(k6_funcop_1(A,B,C,D,E),B,A))) # label(dt_k6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2339 (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) -> 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]. 43.47/42.32 2340 (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]. 43.47/42.32 2341 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (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]. 43.47/42.32 2342 (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]. 43.47/42.32 2343 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_2(D,A,A) & m2_relset_1(D,A,A) & v1_funct_1(D) -> k2_binop_1(A,A,A,B,k8_funct_2(A,A,D,C),C) = k8_funct_2(A,A,k6_funcop_1(A,A,B,D,k6_partfun1(A)),C))))))))) # label(t55_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2344 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k5_relat_1(B,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]. 43.47/42.32 2345 (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) -> v1_funct_1(k5_funcop_1(C,E,D)) & m2_relset_1(k5_funcop_1(C,E,D),A,B) & v1_funct_2(k5_funcop_1(C,E,D),A,B))))))))))) # label(t65_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2346 (all A all B all C all D (-v1_xboole_0(A) & -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(B) -> k10_funcop_1(A,B,C,k10_funcop_1(A,B,C,D)) = D)) # label(involutiveness_k10_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.32 2347 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (r2_hidden(C,k1_relat_1(k5_funcop_1(B,D,A))) -> k1_binop_1(B,D,k1_funct_1(A,C)) = k1_funct_1(k5_funcop_1(B,D,A),C))))))) # label(t42_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2348 (all A (k1_xboole_0 = k1_relat_1(k2_funcop_1(k1_xboole_0,A)) & k2_relat_1(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0)) # label(t16_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2349 (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) -> (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]. 43.47/42.33 2350 (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]. 43.47/42.33 2351 (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]. 43.47/42.33 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) -> (k1_relat_1(A) = k1_relat_1(B) -> k1_relat_1(k5_relat_1(C,B)) = k1_relat_1(k5_relat_1(C,A))))))))) # label(t3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2353 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_funcop_1(k1_funcop_1(A)) = A)) # label(involutiveness_k1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2354 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> v1_funct_1(k2_funcop_1(A,C)) & v1_funct_2(k2_funcop_1(A,C),A,B) & m2_relset_1(k2_funcop_1(A,C),A,B))))) # label(t58_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2355 $T # label(t8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2356 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,A) & m2_relset_1(D,A,A) -> k8_funct_2(A,A,k6_funcop_1(A,A,B,k6_partfun1(A),D),C) = k2_binop_1(A,A,A,B,C,k8_funct_2(A,A,D,C)))))))))) # label(t54_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2357 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B k1_funcop_1(k7_relat_1(A,B)) = k7_relat_1(k1_funcop_1(A),B)))) # label(t7_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2358 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A))) # label(rc1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2359 $T # label(t5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2360 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C -(r2_hidden(C,k1_relat_1(A)) & k1_relat_1(k5_relat_1(k2_funcop_1(B,C),A)) = k1_xboole_0 & k1_xboole_0 != B)))) # label(t24_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2361 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_relat_1(C) & v1_funct_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]. 43.47/42.33 2362 (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 (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]. 43.47/42.33 2363 (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) -> 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]. 43.47/42.33 2364 (all A (v1_relat_1(k2_funcop_1(k1_xboole_0,A)) & v2_funct_1(k2_funcop_1(k1_xboole_0,A)) & v1_funct_1(k2_funcop_1(k1_xboole_0,A)) & v1_xboole_0(k2_funcop_1(k1_xboole_0,A)))) # label(fc2_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2365 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k7_funcop_1(B,A,C,k7_funcop_1(B,A,C,D,E),F) = k7_funcop_1(B,A,C,D,k2_binop_1(B,B,B,C,E,F))))))))))))))) # label(t78_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2366 (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,k6_funcop_1(A,A,B,k6_partfun1(A),k6_partfun1(A)),C) = k2_binop_1(A,A,A,B,C,C))))))) # label(t56_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2367 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k8_funct_2(B,A,k7_funcop_1(A,B,C,D,E),F) = k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,F),E))))))))))))) # label(t60_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2368 (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 (v1_funct_1(D) & v1_relat_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]. 43.47/42.33 2369 (all A all B k10_relat_1(k2_funcop_1(A,B),k1_tarski(B)) = A) # label(t21_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2370 (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_xboole_0 & k1_xboole_0 = k1_relat_1(A) -> B = A))))) # label(t4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2371 (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)) -> m2_relset_1(k2_relat_1(D),B,C))))))))) # label(t72_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2372 (all A (v1_relat_1(A) & v1_funct_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]. 43.47/42.33 2373 $T # label(dt_k2_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2374 (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 (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]. 43.47/42.33 2375 (all A all B (v1_funct_1(k2_funcop_1(A,B)) & v1_relat_1(k2_funcop_1(A,B)))) # label(fc1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 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(A,A),A) & m2_relset_1(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 (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]. 43.47/42.33 2377 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_funct_1(k1_funct_1(A,B)) & v1_relat_1(k1_funct_1(A,B)))) <-> v1_funcop_1(A)))) # label(d6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2378 (all A all B all C (r2_hidden(B,A) -> C = k1_funct_1(k2_funcop_1(A,C),B))) # label(t13_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2379 $T # label(t40_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2380 $T # label(dt_k3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2381 (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(k13_funct_3(B,C),A) = k3_funcop_1(A,B,C))))))) # label(d3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2382 (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,k8_funcop_1(B,A,C,F,D)) = k8_funcop_1(B,A,C,k2_binop_1(B,B,B,C,E,F),D)))))))))))))) # label(t77_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2383 (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]. 43.47/42.33 2384 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (all E (m1_subset_1(E,B) -> (v3_binop_1(C,A) -> k8_funct_2(B,A,D,E) = k8_funct_2(B,A,k8_funcop_1(A,B,C,k8_funct_2(B,A,D,E),D),E)))))))))))) # label(t82_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2385 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) -> (all E (m1_subset_1(E,A) -> k1_funct_1(k1_funcop_1(D),E) = k4_tarski(k2_mcart_1(k8_funct_2(A,k2_zfmisc_1(B,C),D,E)),k1_mcart_1(k8_funct_2(A,k2_zfmisc_1(B,C),D,E))))))))))))) # label(t71_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2386 (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(B,A,C) = k3_funcop_1(B,A,k2_funcop_1(k1_relat_1(A),C))))))) # label(t34_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2387 (all A all B all C all D (-v1_xboole_0(A) & 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) -> m2_relset_1(k9_funcop_1(A,B,C,D),B,C))) # label(dt_k9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2388 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (k1_tarski(B) = k2_relat_1(A) -> A = k2_funcop_1(k1_relat_1(A),B))))) # label(t15_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2389 (all A all B (A = k1_relat_1(k2_funcop_1(A,B)) & r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B)))) # label(t19_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2390 (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_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(k3_funcop_1(C,A,B)) = k1_relat_1(D) & (all E (r2_hidden(E,k1_relat_1(k3_funcop_1(C,A,B))) -> k1_binop_1(C,k1_funct_1(A,E),k1_funct_1(B,E)) = k1_funct_1(D,E))) -> D = k3_funcop_1(C,A,B)))))))))) # label(t27_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2391 (all A all B all C all D all E (-v1_xboole_0(A) & m1_relset_1(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) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(B) -> 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]. 43.47/42.33 2392 (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) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_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]. 43.47/42.33 2393 (all A (v1_funct_1(A) & v1_relat_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]. 43.47/42.33 2394 (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]. 43.47/42.33 2395 (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_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,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]. 43.47/42.33 2396 (all A k1_funcop_1(k12_funct_3(A)) = k12_funct_3(A)) # label(t9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2397 (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,A,B) & v1_funct_2(E,A,B) -> 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]. 43.47/42.33 2398 (all A all B (v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(A) & v1_relat_1(A) -> v1_funct_1(k5_relat_1(B,A)) & v1_funcop_1(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A)))) # label(fc8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2399 (all A all B all C (r2_hidden(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(t57_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2400 (all A all B all C all D (-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(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]. 43.47/42.33 2401 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v1_funct_1(C) & v1_relat_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]. 43.47/42.33 2402 (all A all B all C (v1_funct_1(A) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> v1_funct_1(k3_funcop_1(A,B,C)) & v1_relat_1(k3_funcop_1(A,B,C)))) # label(fc4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2403 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> 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]. 43.47/42.33 2404 (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_funct_1(D) & v1_relat_1(D) -> (all E (k7_relat_1(B,C) = k7_relat_1(A,C) -> k7_relat_1(k5_funcop_1(D,E,B),C) = k7_relat_1(k5_funcop_1(D,E,A),C))))))))) # label(t43_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2405 (all A all B all C all D (-v1_xboole_0(B) & 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(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]. 43.47/42.33 2406 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> 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]. 43.47/42.33 2407 (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_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]. 43.47/42.33 2408 $T # label(dt_k4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2409 (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]. 43.47/42.33 2410 (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,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]. 43.47/42.33 2411 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (v1_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,B,E),C) = k7_relat_1(k4_funcop_1(D,A,E),C))))))))) # label(t36_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2412 (all A all B all C (r2_hidden(B,C) -> k10_relat_1(k2_funcop_1(A,B),C) = A)) # label(t20_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2413 (all A all B all C all D all E (-v1_xboole_0(B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & m1_subset_1(E,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(A) -> 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]. 43.47/42.33 2414 $T # label(t50_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2415 (all A all B (v1_xboole_0(B) -> v1_relat_1(k2_funcop_1(B,A)) & v1_funct_1(k2_funcop_1(B,A)) & v2_funct_1(k2_funcop_1(B,A)) & v1_xboole_0(k2_funcop_1(B,A)))) # label(fc3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2416 (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]. 43.47/42.33 2417 (all A all B all C (v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k4_funcop_1(A,B,C)) & v1_relat_1(k4_funcop_1(A,B,C)))) # label(fc5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2418 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) -> k8_funcop_1(A,B,C,D,E) = k5_funcop_1(C,D,E))) # label(redefinition_k8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2419 (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,B,B) & m2_relset_1(E,B,B) & v1_funct_1(E) -> k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,E,k6_partfun1(B))) = k6_funcop_1(B,A,C,k7_funct_2(A,B,B,D,E),D))))))))))) # label(t52_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2420 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k5_relat_1(k4_funcop_1(C,B,D),A) = k4_funcop_1(k5_relat_1(C,A),B,D)))))))) # label(t38_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2421 $T # label(t62_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2422 (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) & (all C (r2_hidden(C,k1_relat_1(A)) -> (all D all E (k1_funct_1(A,C) = k4_tarski(D,E) -> k4_tarski(E,D) = k1_funct_1(B,C))) & -((all D all E k1_funct_1(A,C) != k4_tarski(D,E)) & k1_funct_1(A,C) != k1_funct_1(B,C)))) <-> B = k1_funcop_1(A)))))) # label(d1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2423 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) -> k2_funcop_1(B,k1_funct_1(A,C)) = k5_relat_1(k2_funcop_1(B,C),A))))) # label(t23_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2424 (all A k13_funct_3(k6_partfun1(A),k6_partfun1(A)) = k12_funct_3(A)) # label(t2_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2425 $T # label(t68_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2426 (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 k5_relat_1(B,k5_funcop_1(C,D,A)) = k5_funcop_1(C,D,k5_relat_1(B,A))))))))) # label(t44_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2427 (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) -> (v3_binop_1(C,B) -> D = k6_funcop_1(B,A,C,D,D)))))))))) # label(t81_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2428 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(E) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> v1_funct_1(k8_funcop_1(A,B,C,D,E)) & 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))) # label(dt_k8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2429 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) -> v1_funct_1(k1_funct_1(A,B)) & v1_relat_1(k1_funct_1(A,B)))) # label(fc7_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2430 (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(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]. 43.47/42.33 2431 (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]. 43.47/42.33 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) -> (all F (m2_relset_1(F,A,B) & v1_funct_2(F,A,B) & v1_funct_1(F) -> ((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))) -> F = k6_funcop_1(B,A,C,D,E)))))))))))))) # label(t49_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2433 (all A all B all C all D all E (-v1_xboole_0(B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & 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_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(A) -> k6_funcop_1(A,B,C,D,E) = k3_funcop_1(C,D,E))) # label(redefinition_k6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2434 $T # label(t33_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2435 (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,k2_funcop_1(k1_relat_1(A),C),A) = k5_funcop_1(B,C,A)))))) # label(t41_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2436 (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]. 43.47/42.33 2437 (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_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]. 43.47/42.33 2438 (all A all B all C all D (-v1_xboole_0(A) & -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(B) -> k2_relat_1(D) = k9_funcop_1(A,B,C,D))) # label(redefinition_k9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2439 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> k2_binop_1(A,A,A,B,C,C) = k8_funct_2(A,A,k8_funcop_1(A,A,B,C,k6_partfun1(A)),C))))))) # label(t70_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2440 $T # label(dt_k5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2441 (all A (v1_relat_1(A) & v1_funct_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]. 43.47/42.33 2442 (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 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]. 43.47/42.33 2443 (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 (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (v1_binop_1(C,B) -> k6_funcop_1(B,A,C,D,E) = k6_funcop_1(B,A,C,E,D)))))))))))) # label(t80_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2444 (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]. 43.47/42.33 2445 $T # label(t12_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2446 (all A (v1_relat_1(A) -> (all B all C (A = k2_zfmisc_1(B,C) -> k1_xboole_0 = C | C = k2_relat_1(A) & k1_relat_1(A) = B | B = k1_xboole_0)))) # label(t1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2447 (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)) -> 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]. 43.47/42.33 2448 (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]. 43.47/42.33 2449 (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) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k7_funcop_1(B,A,C,k8_funcop_1(B,A,C,E,D),F) = k8_funcop_1(B,A,C,E,k7_funcop_1(B,A,C,D,F))))))))))))))) # label(t74_funcop_1) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2450 $T # label(dt_k4_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2451 (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(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]. 43.47/42.33 2452 (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)) -> C = k2_funct_4(k2_funct_4(C))))) # label(t53_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2453 (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]. 43.47/42.33 2454 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(E,A) -> k5_funct_4(A,B,C,D,E) = k4_funct_4(B,C,D,E))) # label(redefinition_k5_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2455 (all A all B all C all D all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k1_relat_1(E),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(F),k2_zfmisc_1(C,D)) -> r1_tarski(k1_relat_1(k3_funct_4(E,F)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))))))) # label(t60_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2456 (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]. 43.47/42.33 2457 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k1_relat_1(A),k1_relat_1(B)) -> B = k1_funct_4(A,B)))))) # label(t20_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2458 (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]. 43.47/42.33 2459 (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]. 43.47/42.33 2460 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k5_relat_1(B,k7_relat_1(A,k2_relat_1(B))) = k5_relat_1(B,A))))) # label(t2_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2461 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k1_funct_4(A,B)),k2_xboole_0(k2_relat_1(A),k2_relat_1(B))))))) # label(t18_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2462 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_partfun1(B,C) & r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k1_funct_4(B,C),A) = k1_funct_1(B,A)))))) # label(t16_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2463 (all A all B all C all D all E all F (k4_funct_4(A,B,C,D) = k4_funct_4(A,B,E,F) -> D = F & C = E | A = B)) # label(t72_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2464 (all A all B all C all D all E all F all G (v1_funct_1(G) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (v1_funct_1(H) & m2_relset_1(H,k2_zfmisc_1(D,E),F) -> 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]. 43.47/42.33 2465 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_partfun1(A,B) <-> r1_tarski(A,k1_funct_4(A,B))))))) # label(t29_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2466 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_xboole_0(C,k1_relat_1(B)) -> k7_relat_1(A,C) = k7_relat_1(k1_funct_4(A,B),C))))))) # label(t76_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2467 (all A all B (-v1_xboole_0(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) -> k1_funct_4(C,D) = D)))))) # label(t40_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2468 (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_tarski(A,k1_funct_4(A,B))))))) # label(t33_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2469 (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) -> (k1_relat_1(B) = k1_relat_1(C) -> k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(A,C)))))))) # label(t78_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2470 (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)) -> k1_funct_4(B,A) = k1_funct_4(A,B)))))) # label(t36_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2471 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> C = k1_funct_4(B,C))))) # label(t39_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2472 (all A all B (v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> 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]. 43.47/42.33 2473 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> v1_funct_1(k5_funct_4(A,B,C,D,E)) & 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))) # label(dt_k5_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2474 (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) -> D = k2_funct_4(k2_funct_4(D)))))) # label(t56_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2475 (all A all B all C all D all E (-v1_xboole_0(E) -> (all F (-v1_xboole_0(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,k2_zfmisc_1(A,B),E) & v1_funct_2(G,k2_zfmisc_1(A,B),E) -> (all H (v1_funct_1(H) & m2_relset_1(H,k2_zfmisc_1(C,D),F) & v1_funct_2(H,k2_zfmisc_1(C,D),F) -> v1_funct_1(k3_funct_4(G,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)))))))))) # label(t64_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2476 (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]. 43.47/42.33 2477 (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(A),C) & r1_xboole_0(k1_relat_1(B),C) -> A = k7_relat_1(k1_funct_4(A,B),C))))))) # label(t82_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2478 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(A,k1_funct_4(B,A)))))) # label(t26_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2479 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> m2_relset_1(k1_funct_4(C,D),A,B) & v1_funct_1(k1_funct_4(C,D)))))) # label(t41_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2480 (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(A),C) & r1_xboole_0(C,D) & r1_tarski(k1_relat_1(B),D) -> k7_relat_1(k1_funct_4(A,B),C) = A & k7_relat_1(k1_funct_4(A,B),D) = B)))))) # label(t81_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2481 (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) & k1_relat_1(E) = k2_tarski(A,B) -> k4_funct_4(A,B,C,D) = E))) # label(t69_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2482 (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 (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(A,D)) & (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_1(B,D)))) & k1_relat_1(C) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B)) <-> C = k1_funct_4(A,B)))))))) # label(d1_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2483 (all A all B all C all D (B != A -> k1_funct_1(k4_funct_4(A,B,C,D),B) = D & C = k1_funct_1(k4_funct_4(A,B,C,D),A))) # label(t66_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2484 (all A -((all B -(r2_hidden(B,A) & (all C all D k4_tarski(C,D) != B))) & (all B all C -r1_tarski(A,k2_zfmisc_1(B,C))))) # label(t1_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2485 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B A = k1_funct_4(A,k7_relat_1(A,B))))) # label(t80_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2486 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k2_relat_1(k2_funct_4(C)) = k2_relat_1(C)))) # label(t48_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2487 (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]. 43.47/42.33 2488 (all A (v1_relat_1(A) & v1_funct_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(k1_funct_4(A,B),C) = k7_relat_1(B,C))))))) # label(t77_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2489 (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(k2_funct_4(C),k4_tarski(A,B)) = k1_funct_1(C,k4_tarski(B,A))))) # label(t44_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2490 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)))) # label(dt_k2_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2491 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> B = k1_funct_4(A,B) & B = k1_funct_4(B,A)))))) # label(t79_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 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) -> (k3_funct_4(A,B) = C <-> (all D ((exists E exists F exists G exists H (k4_tarski(k4_tarski(E,G),k4_tarski(F,H)) = D & r2_hidden(k4_tarski(G,H),k1_relat_1(B)) & r2_hidden(k4_tarski(E,F),k1_relat_1(A)))) <-> r2_hidden(D,k1_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)) -> k1_funct_1(C,k4_tarski(k4_tarski(D,F),k4_tarski(E,G))) = k4_tarski(k1_funct_1(A,k4_tarski(D,E)),k1_funct_1(B,k4_tarski(F,G)))))))))))) # label(d3_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2493 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k1_funct_4(A,k1_xboole_0))) # label(t22_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2494 (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_1(k2_funct_4(D)) & v1_funct_2(k2_funct_4(D),k2_zfmisc_1(B,A),C) & m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C))))) # label(t51_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2495 (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)) -> k2_xboole_0(A,B) = k1_funct_4(A,B)))))) # label(t32_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.33 2496 (all A (v1_funct_1(A) & v1_relat_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]. 43.47/42.34 2497 (all A all B all C all D (v1_funct_1(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)))) # label(fc1_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2498 (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_funct_4(A,k1_funct_4(B,C)) = k1_funct_4(k1_funct_4(A,B),C))))))) # label(t15_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2499 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(B)) & r1_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]. 43.47/42.34 2500 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_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]. 43.47/42.34 2501 (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(k1_funct_4(B,C))) <-> r2_hidden(A,k1_relat_1(C)) | r2_hidden(A,k1_relat_1(B))))))) # label(t13_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2502 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k4_tarski(B,A),k1_relat_1(k2_funct_4(C))) <-> r2_hidden(k4_tarski(A,B),k1_relat_1(C))))) # label(t43_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2503 (all A all B all C all D (r1_tarski(k2_relat_1(k4_funct_4(A,B,C,D)),k2_tarski(C,D)) & k2_tarski(A,B) = k1_relat_1(k4_funct_4(A,B,C,D)))) # label(t65_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2504 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k1_relat_1(A),k1_relat_1(k1_funct_4(A,B))) & r1_tarski(k1_relat_1(B),k1_relat_1(k1_funct_4(A,B))))))) # label(t11_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2505 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_funct_4(k2_funct_4(A)),A))) # label(t52_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2506 (all A all B all C all D (r1_tarski(k2_funcop_1(A,B),k2_funcop_1(C,D)) -> B = D | A = k1_xboole_0)) # label(t7_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2507 (all A all B all C all D (A != C -> k2_tarski(k4_tarski(A,B),k4_tarski(C,D)) = k4_funct_4(A,C,B,D))) # label(t71_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2508 (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(k2_funct_4(C)),k2_zfmisc_1(B,A))))) # label(t46_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2509 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k1_relat_1(k2_funct_4(C)) = k2_zfmisc_1(B,A)))) # label(t47_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2510 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (v1_partfun1(D,A,B) -> k1_funct_4(C,D) = D))))) # label(t37_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2511 (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_funct_4(A,B) = k1_funct_4(B,A)))))) # label(t35_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2512 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) -> k1_funct_4(A,A) = A)) # label(idempotence_k1_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2513 (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]. 43.47/42.34 2514 (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(B)) <-> (exists D exists E (C = k4_tarski(E,D) & r2_hidden(k4_tarski(D,E),k1_relat_1(A)))))) & (all C all D (r2_hidden(k4_tarski(C,D),k1_relat_1(A)) -> k1_funct_1(B,k4_tarski(D,C)) = k1_funct_1(A,k4_tarski(C,D)))) <-> k2_funct_4(A) = B))))) # label(d2_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2515 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(k2_funct_4(A)),k2_relat_1(A)))) # label(t42_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2516 (all A all B all C all D all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),k1_relat_1(k3_funct_4(E,F))) -> k1_funct_1(k3_funct_4(E,F),k4_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k4_tarski(k1_funct_1(E,k4_tarski(A,C)),k1_funct_1(F,k4_tarski(B,D)))))))) # label(t58_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2517 (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) -> (k1_xboole_0 != C -> m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_2(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_1(k2_funct_4(D))))) # label(t50_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2518 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> ((k1_xboole_0 = B -> A = k1_xboole_0) -> k1_funct_4(C,D) = D))))) # label(t38_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2519 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k1_funct_4(A,B),k2_xboole_0(A,B)))))) # label(t30_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2520 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k3_funct_4(A,B)),k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B))))))) # label(t59_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2521 (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]. 43.47/42.34 2522 (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]. 43.47/42.34 2523 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_funct_4(k1_xboole_0,A) = A)) # label(t21_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2524 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k2_relat_1(D),k1_relat_1(B)) & r1_partfun1(A,B) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) -> k5_relat_1(k1_funct_4(C,D),k1_funct_4(A,B)) = k1_funct_4(k5_relat_1(C,A),k5_relat_1(D,B))))))))))) # label(t73_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2525 (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) -> (k1_xboole_0 != C -> D = k2_funct_4(k2_funct_4(D))))) # label(t55_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2526 (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]. 43.47/42.34 2527 (all A all B all C all D (B != A -> k2_relat_1(k4_funct_4(A,B,C,D)) = k2_tarski(C,D))) # label(t67_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2528 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_partfun1(A,k1_funct_4(B,C)) -> r1_partfun1(A,C)))))))) # label(t28_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2529 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k1_funct_4(B,A))))))) # label(t19_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2530 (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]. 43.47/42.34 2531 (all A (v1_relat_1(A) & v1_funct_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]. 43.47/42.34 2532 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_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]. 43.47/42.34 2533 (all A all B all C k4_funct_4(A,B,C,C) = k2_funcop_1(k2_tarski(A,B),C)) # label(t68_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2534 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(C,D) -> r1_tarski(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]. 43.47/42.34 2535 (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]. 43.47/42.34 2536 (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)) -> A = k7_relat_1(k1_funct_4(A,B),k1_relat_1(A))))))) # label(t34_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2537 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k7_relat_1(k1_funct_4(A,B),k4_xboole_0(k1_relat_1(A),k1_relat_1(B))),A))))) # label(t25_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2538 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k1_funct_4(A,B)) & v1_relat_1(k1_funct_4(A,B)))) # label(dt_k1_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2539 (all A all B all C all D all E all F 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 (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 & -(v1_funct_1(k3_funct_4(G,H)) & 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)) & 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))) & k1_xboole_0 != C))))) # label(t63_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 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) -> (k2_zfmisc_1(C,D) = k1_relat_1(F) & k2_zfmisc_1(A,B) = k1_relat_1(E) -> k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) = k1_relat_1(k3_funct_4(E,F))))))) # label(t61_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2541 (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]. 43.47/42.34 2542 (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]. 43.47/42.34 2543 $T # label(t3_funct_4) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2544 (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]. 43.47/42.34 2545 (all A (v3_ordinal1(A) -> (all B (m1_ordinal1(B,A) -> v1_ordinal2(B))))) # label(cc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2546 (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]. 43.47/42.34 2547 $T # label(t18_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.47/42.34 2548 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> k1_xboole_0 = A | (all C (v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_relat_1(C) -> (k1_relat_1(C) = A & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k15_ordinal2(D,B) = k1_funct_1(C,D)))) -> k15_ordinal2(A,B) = k3_tarski(k8_ordinal2(C)))))))))) # label(t54_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2549 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_ordinal2(C) & k1_relat_1(C) = k1_ordinal1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f5_s12_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | k1_funct_1(C,D) = f6_s12_ordinal2(D,k2_ordinal1(C,D))))) & f4_s12_ordinal2 = k1_funct_1(C,k1_xboole_0) & B = k1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) <-> B = f2_s12_ordinal2(A)))))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f3_s12_ordinal2) -> f5_s12_ordinal2(A,k1_funct_1(f1_s12_ordinal2,A)) = k1_funct_1(f1_s12_ordinal2,k1_ordinal1(A))))) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f3_s12_ordinal2) -> k1_xboole_0 = A | k1_funct_1(f1_s12_ordinal2,A) = f6_s12_ordinal2(A,k2_ordinal1(f1_s12_ordinal2,A))))) & (r2_hidden(k1_xboole_0,f3_s12_ordinal2) -> f4_s12_ordinal2 = k1_funct_1(f1_s12_ordinal2,k1_xboole_0)) & f3_s12_ordinal2 = k1_relat_1(f1_s12_ordinal2) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s12_ordinal2)) -> f2_s12_ordinal2(A) = k1_funct_1(f1_s12_ordinal2,A)))) # label(s12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2550 (all A v3_ordinal1(k7_ordinal2(A))) # label(dt_k7_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2551 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C) -> (A = k1_relat_1(C) & (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]. 43.55/42.47 2552 (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]. 43.55/42.47 2553 (all A all B (v1_ordinal2(A) & v3_ordinal1(B) & v5_ordinal1(A) & v1_funct_1(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]. 43.55/42.47 2554 (all A (v3_ordinal1(A) -> A = k3_tarski(k1_ordinal1(A)))) # label(t2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2555 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (k16_ordinal2(A,B) = C <-> (exists D (v1_ordinal2(D) & k1_funct_1(D,k1_xboole_0) = k4_ordinal2 & (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) -> E = k1_xboole_0 | k12_ordinal2(k2_ordinal1(D,E)) = k1_funct_1(D,E)))) & k1_ordinal1(B) = k1_relat_1(D) & k1_ordinal2(D) = C & v5_ordinal1(D) & v1_funct_1(D) & v1_relat_1(D)))))))))) # label(d20_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2556 (all A all B (v3_ordinal1(B) -> v1_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)) & v1_ordinal2(k2_funcop_1(A,B)))) # label(fc4_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2557 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> ((exists D (v1_relat_1(D) & v1_funct_1(D) & v5_ordinal1(D) & v1_ordinal2(D) & k1_ordinal2(D) = C & k1_ordinal1(A) = k1_relat_1(D) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(A)) -> k1_funct_1(D,k1_ordinal1(E)) = k14_ordinal2(k1_funct_1(D,E),B)))) & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(A)) -> k1_funct_1(D,E) = k3_tarski(k8_ordinal2(k2_ordinal1(D,E))) | E = k1_xboole_0))) & k1_xboole_0 = k1_funct_1(D,k1_xboole_0))) <-> C = k15_ordinal2(A,B)))))))) # label(d19_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2558 $T # label(t33_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.55/42.47 2559 (all A (v3_ordinal1(A) -> r1_ordinal1(k3_tarski(A),A))) # label(t5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2560 $T # label(t41_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2561 (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]. 43.64/42.49 2562 (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]. 43.64/42.49 2563 (exists A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & k1_relat_1(A) = f1_s5_ordinal2 & (r2_hidden(k1_xboole_0,f1_s5_ordinal2) -> f2_s5_ordinal2 = k1_funct_1(A,k1_xboole_0)) & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s5_ordinal2) -> f3_s5_ordinal2(B,k1_funct_1(A,B)) = k1_funct_1(A,k1_ordinal1(B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s5_ordinal2) & v4_ordinal1(B) -> B = k1_xboole_0 | f4_s5_ordinal2(B,k2_ordinal1(A,B)) = k1_funct_1(A,B)))))) # label(s5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2564 $T # label(t64_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2565 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> v3_ordinal1(k9_ordinal2(A)))) # label(dt_k9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2566 (all A (v3_ordinal1(A) -> A = k15_ordinal2(k4_ordinal2,A) & k15_ordinal2(A,k4_ordinal2) = A)) # label(t56_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2567 (all A all B (B = k2_ordinal2(A) <-> (all C (v3_ordinal1(C) & r2_hidden(C,A) <-> r2_hidden(C,B))))) # label(d2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2568 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k1_relat_1(C) = k1_ordinal1(A) & f1_s9_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> f3_s9_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)) -> f2_s9_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & v5_ordinal1(C))) <-> B = f4_s9_ordinal2(A))))) -> (all A (v3_ordinal1(A) -> f4_s9_ordinal2(k1_ordinal1(A)) = f2_s9_ordinal2(A,f4_s9_ordinal2(A)))) # label(s9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2569 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C) -> ((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k14_ordinal2(B,D) = k1_funct_1(C,D)))) & A = k1_relat_1(C) -> k8_ordinal2(C) = k14_ordinal2(B,A)))) | A = k1_xboole_0))))) # label(t46_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2570 (all A (v1_relat_1(A) & v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A) -> v3_ordinal1(k12_ordinal2(A)))) # label(dt_k12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2571 (all A r1_tarski(k2_ordinal2(A),A)) # label(t9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2572 (all A k1_setfam_1(k2_ordinal2(A)) = k6_ordinal2(A)) # label(d6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2573 (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]. 43.64/42.49 2574 k1_relat_1(f5_s4_ordinal2) = f1_s4_ordinal2 & (r2_hidden(k1_xboole_0,f1_s4_ordinal2) -> f2_s4_ordinal2 = k1_funct_1(f5_s4_ordinal2,k1_xboole_0)) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f1_s4_ordinal2) & v4_ordinal1(A) -> k1_xboole_0 = A | k1_funct_1(f6_s4_ordinal2,A) = f4_s4_ordinal2(A,k2_ordinal1(f6_s4_ordinal2,A))))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f1_s4_ordinal2) -> k1_funct_1(f6_s4_ordinal2,k1_ordinal1(A)) = f3_s4_ordinal2(A,k1_funct_1(f6_s4_ordinal2,A))))) & (r2_hidden(k1_xboole_0,f1_s4_ordinal2) -> k1_funct_1(f6_s4_ordinal2,k1_xboole_0) = f2_s4_ordinal2) & f1_s4_ordinal2 = k1_relat_1(f6_s4_ordinal2) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f1_s4_ordinal2) -> k1_xboole_0 = A | f4_s4_ordinal2(A,k2_ordinal1(f5_s4_ordinal2,A)) = k1_funct_1(f5_s4_ordinal2,A)))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f1_s4_ordinal2) -> k1_funct_1(f5_s4_ordinal2,k1_ordinal1(A)) = f3_s4_ordinal2(A,k1_funct_1(f5_s4_ordinal2,A))))) -> f6_s4_ordinal2 = f5_s4_ordinal2 # label(s4_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2575 (all A (v3_ordinal1(A) -> A = k2_ordinal2(A))) # label(t10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2576 $T # label(t8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2577 (all A (v3_ordinal1(A) -> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)))) # label(t3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2578 (all A (v3_ordinal1(A) -> k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A))) # label(t48_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2579 $T # label(dt_k2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2580 (all A all B (v1_relat_1(A) & v3_ordinal1(B) & v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_ordinal2(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)))) # label(fc2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2581 (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 = A -> (r1_ordinal2(A,B) <-> (exists C (v3_ordinal1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(B)) & r1_ordinal1(C,D) -> k1_xboole_0 = k1_funct_1(B,D)))) & r2_hidden(C,k1_relat_1(B)))))) & (k1_xboole_0 != A -> ((all C (v3_ordinal1(C) -> (all D (v3_ordinal1(D) -> -((all E (v3_ordinal1(E) -> -((all F (v3_ordinal1(F) -> (r1_ordinal1(E,F) & r2_hidden(F,k1_relat_1(B)) -> r2_hidden(C,k1_funct_1(B,F)) & r2_hidden(k1_funct_1(B,F),D)))) & r2_hidden(E,k1_relat_1(B))))) & r2_hidden(A,D) & r2_hidden(C,A)))))) <-> r1_ordinal2(A,B))))))) # label(d13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2582 (all A (v3_ordinal1(A) -> k1_xboole_0 = k15_ordinal2(A,k1_xboole_0))) # label(t55_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2583 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_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]. 43.64/42.49 2584 (all A (v3_ordinal1(A) -> (all B ((exists C (k1_funct_1(C,k1_xboole_0) = f2_s8_ordinal2 & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | f4_s8_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f3_s8_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_ordinal1(A) = k1_relat_1(C) & k1_ordinal2(C) = B & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) <-> B = f1_s8_ordinal2(A))))) -> f2_s8_ordinal2 = f1_s8_ordinal2(k1_xboole_0) # label(s8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2585 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> (all B (v3_ordinal1(B) -> (B = k10_ordinal2(A) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & k1_relat_1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(C,D) = k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))))) & B = k9_ordinal2(C) & v1_ordinal2(C) & v5_ordinal1(C)))))))) # label(d11_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2586 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> k1_ordinal2(A) = k1_funct_1(A,k3_tarski(k1_relat_1(A))))) # label(d1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2587 (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]. 43.64/42.49 2588 (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]. 43.64/42.49 2589 (all A (v4_ordinal2(A) <-> r2_hidden(A,k5_ordinal2))) # label(d21_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2590 (exists A (v1_ordinal1(A) & v4_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2591 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) -> (v3_ordinal2(A) <-> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (C = k1_funct_1(A,B) & v4_ordinal1(B) & r2_hidden(B,k1_relat_1(A)) -> k1_xboole_0 = B | r1_ordinal2(C,k2_ordinal1(A,B)))))))))) # label(d17_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2592 k1_xboole_0 != f2_s10_ordinal2 & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s10_ordinal2) -> f3_s10_ordinal2(A) = k1_funct_1(f1_s10_ordinal2,A)))) & f2_s10_ordinal2 = k1_relat_1(f1_s10_ordinal2) & v4_ordinal1(f2_s10_ordinal2) & (all A (v3_ordinal1(A) -> (all B (f3_s10_ordinal2(A) = B <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & B = k1_ordinal2(C) & k1_funct_1(C,k1_xboole_0) = f4_s10_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | 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)) -> k1_funct_1(C,k1_ordinal1(D)) = f5_s10_ordinal2(D,k1_funct_1(C,D))))) & k1_relat_1(C) = k1_ordinal1(A))))))) -> f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2) = f3_s10_ordinal2(f2_s10_ordinal2) # label(s10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2593 (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]. 43.64/42.49 2594 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_ordinal2(A) <-> (exists B (r1_tarski(k2_relat_1(A),B) & v3_ordinal1(B)))))) # label(d8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2595 (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]. 43.64/42.49 2596 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2597 (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]. 43.64/42.49 2598 (all A (v3_ordinal1(A) -> k1_ordinal1(A) = k7_ordinal2(k1_tarski(A)))) # label(t31_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2599 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (k14_ordinal2(A,B) = C <-> (exists D (v5_ordinal1(D) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_funct_1(D,k1_ordinal1(E)) = k1_ordinal1(k1_funct_1(D,E))))) & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(B)) -> E = k1_xboole_0 | k1_funct_1(D,E) = k8_ordinal2(k2_ordinal1(D,E))))) & A = k1_funct_1(D,k1_xboole_0) & k1_ordinal1(B) = k1_relat_1(D) & k1_ordinal2(D) = C & v1_ordinal2(D) & v1_funct_1(D) & v1_relat_1(D)))))))))) # label(d18_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2600 (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]. 43.64/42.49 2601 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (f1_s14_ordinal2(A) = B <-> (exists C (v5_ordinal1(C) & v1_ordinal2(C) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> f4_s14_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)) -> f3_s14_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_funct_1(C,k1_xboole_0) = f2_s14_ordinal2 & k1_ordinal1(A) = k1_relat_1(C) & B = k1_ordinal2(C) & v1_funct_1(C) & v1_relat_1(C)))))))) -> f1_s14_ordinal2(k1_xboole_0) = f2_s14_ordinal2 # label(s14_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.49 2602 (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]. 43.64/42.52 2603 $T # label(t37_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2604 (all A (v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) & v1_relat_1(A) -> (v2_ordinal2(A) <-> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,C) -> r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C)))))))))) # label(d16_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2605 (all A v3_ordinal1(k6_ordinal2(A))) # label(dt_k6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2606 (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]. 43.64/42.52 2607 (all A r1_tarski(k3_ordinal2(A),k2_ordinal2(A))) # label(t15_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2608 (all A (v1_relat_1(A) & v1_ordinal2(A) & v5_ordinal1(A) & v1_funct_1(A) -> ((exists B (v3_ordinal1(B) & r1_ordinal2(B,A))) -> (all B (v3_ordinal1(B) -> (B = k12_ordinal2(A) <-> r1_ordinal2(B,A))))))) # label(d14_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2609 $T # label(t43_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2610 (all A (v3_ordinal1(A) -> (exists B (v4_ordinal1(B) & r2_hidden(A,B) & v3_ordinal1(B))))) # label(t16_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2611 (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]. 43.64/42.52 2612 (all A (v3_ordinal1(A) -> A = k14_ordinal2(A,k1_xboole_0))) # label(t44_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2613 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)))) # label(d9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2614 (exists 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) & v1_relat_1(A))) # label(s2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2615 (all A all B (v3_ordinal1(B) & v3_ordinal1(A) -> v3_ordinal1(k16_ordinal2(A,B)))) # label(dt_k16_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2616 (all A (v3_ordinal1(A) -> k4_ordinal2 = k16_ordinal2(k4_ordinal2,A) & A = k16_ordinal2(A,k4_ordinal2))) # label(t63_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2617 (all A (v3_ordinal1(A) -> (all B ((all C (v3_ordinal1(C) -> (r2_hidden(C,B) -> r1_ordinal1(A,C)))) -> k1_xboole_0 = k2_ordinal2(B) | r1_ordinal1(A,k6_ordinal2(B)))))) # label(t23_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2618 (all A (v3_ordinal1(A) -> (all B all C (r1_tarski(B,C) & r2_hidden(A,B) -> r1_ordinal1(k6_ordinal2(C),k6_ordinal2(B)))))) # label(t24_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2619 (exists A (v3_ordinal1(A) & (exists B (v1_relat_1(B) & v1_funct_1(B) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(B) & f2_s13_ordinal2 = k1_funct_1(B,k1_xboole_0) & (all C (v3_ordinal1(C) -> (r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s13_ordinal2)) -> k1_funct_1(B,k1_ordinal1(C)) = f3_s13_ordinal2(C,k1_funct_1(B,C))))) & (all C (v3_ordinal1(C) -> (v4_ordinal1(C) & r2_hidden(C,k1_ordinal1(f1_s13_ordinal2)) -> k1_funct_1(B,C) = f4_s13_ordinal2(C,k2_ordinal1(B,C)) | C = k1_xboole_0))) & A = k1_ordinal2(B) & v1_ordinal2(B) & v5_ordinal1(B))))) # label(s13_ordinal2_AndLHS) # label(axiom) # label(non_clause). [assumption]. 43.64/42.52 2620 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = B & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(C) & k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D) -> k1_xboole_0 = D | 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)) -> f3_s13_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & v1_ordinal2(C))) & B != A & (exists C (v1_relat_1(C) & v5_ordinal1(C) & f2_s13_ordinal2 = k1_funct_1(C,k1_xboole_0) & (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) -> D = k1_xboole_0 | f4_s13_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(C) & A = k1_ordinal2(C) & v1_ordinal2(C) & v1_funct_1(C)))))))) # label(s13_ordinal2_AndRHS) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2621 (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]. 43.64/42.53 2622 (all A (v3_ordinal1(A) -> A = k14_ordinal2(k1_xboole_0,A))) # label(t47_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2623 (all A (v3_ordinal1(A) -> (all B -(r2_hidden(A,k7_ordinal2(B)) & (all C (v3_ordinal1(C) -> -(r2_hidden(C,B) & r1_ordinal1(A,C)))))))) # label(t29_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2624 $T # label(t21_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2625 (exists A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A))) # label(rc2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2626 (exists A exists B (v1_relat_1(B) & v1_funct_1(B) & A = k1_ordinal2(B) & (all C (v3_ordinal1(C) -> (r2_hidden(k1_ordinal1(C),k1_ordinal1(f1_s7_ordinal2)) -> k1_funct_1(B,k1_ordinal1(C)) = f3_s7_ordinal2(C,k1_funct_1(B,C))))) & (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)) | C = k1_xboole_0))) & f2_s7_ordinal2 = k1_funct_1(B,k1_xboole_0) & k1_relat_1(B) = k1_ordinal1(f1_s7_ordinal2) & v5_ordinal1(B))) # label(s7_ordinal2_AndLHS) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2627 (all A all B -((exists C (v1_relat_1(C) & k1_funct_1(C,k1_xboole_0) = f2_s7_ordinal2 & (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)) | k1_xboole_0 = D))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s7_ordinal2(D,k1_funct_1(C,D))))) & k1_relat_1(C) = k1_ordinal1(f1_s7_ordinal2) & k1_ordinal2(C) = A & v5_ordinal1(C) & v1_funct_1(C))) & A != B & (exists C (k1_ordinal2(C) = B & k1_ordinal1(f1_s7_ordinal2) = k1_relat_1(C) & f2_s7_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s7_ordinal2(D,k1_funct_1(C,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)) | k1_xboole_0 = D))) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(s7_ordinal2_AndRHS) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2628 (all A (v3_ordinal1(A) -> k15_ordinal2(k1_xboole_0,A) = k1_xboole_0)) # label(t52_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2629 (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)))) -> k1_xboole_0 = A | p1_s1_ordinal2(A)))) & p1_s1_ordinal2(k1_xboole_0) -> (all A (v3_ordinal1(A) -> p1_s1_ordinal2(A))) # label(s1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2630 (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]. 43.64/42.53 2631 (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]. 43.64/42.53 2632 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> v3_ordinal1(k10_ordinal2(A)))) # label(dt_k10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2633 $T # label(dt_k3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2634 $T # label(t6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2635 (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]. 43.64/42.53 2636 (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]. 43.64/42.53 2637 (all A r1_tarski(k3_ordinal2(A),A)) # label(t13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2638 (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]. 43.64/42.53 2639 (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]. 43.64/42.53 2640 (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]. 43.64/42.53 2641 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v3_ordinal1(B) -> (B = k11_ordinal2(A) <-> (exists C (v1_funct_1(C) & v5_ordinal1(C) & k1_relat_1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D)))) = k1_funct_1(C,D)))) & B = k8_ordinal2(C) & v1_ordinal2(C) & v1_relat_1(C)))))))) # label(d12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2642 (all A all B (v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_relat_1(B) & v3_ordinal1(A) -> v3_ordinal1(k13_ordinal2(A,B)))) # label(dt_k13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2643 (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]. 43.64/42.53 2644 (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]. 43.64/42.53 2645 (all A (v3_ordinal1(A) -> k16_ordinal2(A,k1_xboole_0) = k4_ordinal2)) # label(t60_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2646 (all A (A = k5_ordinal2 <-> v3_ordinal1(A) & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(k1_xboole_0,B) -> r1_tarski(A,B)))) & v4_ordinal1(A) & r2_hidden(k1_xboole_0,A))) # label(d5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2647 (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]. 43.64/42.53 2648 $T # label(t36_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2649 $T # label(t20_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2650 $T # label(t39_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.64/42.53 2651 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B = f3_s16_ordinal2(A) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = B & k1_ordinal1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> 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)) -> f5_s16_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_funct_1(C,k1_xboole_0) = f4_s16_ordinal2 & v1_ordinal2(C)))))))) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s16_ordinal2) -> f3_s16_ordinal2(A) = k1_funct_1(f1_s16_ordinal2,A)))) & k1_relat_1(f1_s16_ordinal2) = f2_s16_ordinal2 & v4_ordinal1(f2_s16_ordinal2) & k1_xboole_0 != f2_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]. 43.75/42.60 2652 $T # label(t40_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2653 (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) -> f6_s6_ordinal2(A,k2_ordinal1(f1_s6_ordinal2,A)) = k1_funct_1(f1_s6_ordinal2,A) | k1_xboole_0 = 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) -> (all B (f2_s6_ordinal2(A) = B <-> (exists C (v1_funct_1(C) & k1_ordinal2(C) = B & k1_funct_1(C,k1_xboole_0) = f4_s6_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k1_xboole_0 = D | k1_funct_1(C,D) = f6_s6_ordinal2(D,k2_ordinal1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f5_s6_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_relat_1(C) = k1_ordinal1(A) & v5_ordinal1(C) & v1_relat_1(C))))))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s6_ordinal2)) -> f2_s6_ordinal2(A) = k1_funct_1(f1_s6_ordinal2,A)))) # label(s6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2654 (all A (v3_ordinal1(A) -> k7_ordinal2(A) = A)) # label(t26_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2655 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_funct_1(C) & v5_ordinal1(C) & v1_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) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> 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) & k1_ordinal2(C) = B & v1_relat_1(C))) <-> B = f4_s15_ordinal2(A)))))) -> (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]. 43.75/42.60 2656 (exists A (v1_funct_1(A) & v1_ordinal2(A) & k1_relat_1(A) = f1_s11_ordinal2 & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(B,f1_s11_ordinal2) -> B = k1_xboole_0 | k1_funct_1(A,B) = f4_s11_ordinal2(B,k2_ordinal1(A,B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s11_ordinal2) -> k1_funct_1(A,k1_ordinal1(B)) = f3_s11_ordinal2(B,k1_funct_1(A,B))))) & (r2_hidden(k1_xboole_0,f1_s11_ordinal2) -> f2_s11_ordinal2 = k1_funct_1(A,k1_xboole_0)) & v5_ordinal1(A) & v1_relat_1(A))) # label(s11_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2657 (all A (v3_ordinal1(A) -> (r2_hidden(k1_xboole_0,A) & v4_ordinal1(A) -> r1_ordinal1(k5_ordinal2,A)))) # label(t19_ordinal2_AndRHS_AndRHS) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2658 (all A all B ((all C (r2_hidden(C,A) & (exists D (v3_ordinal1(D) & v4_ordinal1(D) & D = C)) <-> r2_hidden(C,B))) <-> B = k3_ordinal2(A))) # label(d3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2659 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A)) & k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)))) # label(t35_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2660 $T # label(t42_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2661 $T # label(t12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2662 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) -> r2_hidden(k15_ordinal2(B,A),k15_ordinal2(C,A)) | k1_xboole_0 = A))))))) # label(t57_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2663 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> v3_ordinal1(k8_ordinal2(A)))) # label(dt_k8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2664 (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]. 43.75/42.60 2665 $T # label(dt_k1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2666 (all A r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A))) # label(t32_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2667 $T # label(t38_ordinal2) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2668 $T # label(t2_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2669 $T # label(t1_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2670 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k5_xboole_0(A,B)))) # label(fc17_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2671 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2672 (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]. 43.75/42.60 2673 (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]. 43.75/42.60 2674 (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]. 43.75/42.60 2675 (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]. 43.75/42.60 2676 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(B != k1_xboole_0 & (all C -((all D (r2_hidden(D,B) & r1_tarski(C,D) -> C = D)) & r2_hidden(C,B)))))))) # label(t18_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2677 $T # label(t8_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2678 (all A all B all C all D (v1_finset_1(B) & v1_finset_1(D) & v1_finset_1(C) & v1_finset_1(A) -> v1_finset_1(k4_zfmisc_1(A,B,C,D)))) # label(fc16_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2679 $T # label(t6_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2680 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v1_finset_1(A) -> v1_finset_1(k9_relat_1(B,A))))) # label(t17_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2681 (all A exists B (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) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2682 $T # label(t5_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2683 (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]. 43.75/42.60 2684 (all A -((all B -((all C (r2_hidden(C,A) -> r1_tarski(B,C))) & r2_hidden(B,A))) & v6_ordinal1(A) & A != k1_xboole_0 & v1_finset_1(A))) # label(t30_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2685 (all A (-v1_xboole_0(A) -> (exists B (v1_finset_1(B) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2686 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B) -> v1_finset_1(k9_relat_1(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2687 $T # label(t7_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2688 $T # label(t11_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2689 (all A all B all C all D (v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(D) & v1_finset_1(C) -> v1_finset_1(k4_zfmisc_1(A,B,C,D)))) # label(t21_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2690 (all A all B all C v1_finset_1(k1_enumset1(A,B,C))) # label(fc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2691 (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]. 43.75/42.60 2692 (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]. 43.75/42.60 2693 $T # label(t12_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2694 (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]. 43.75/42.60 2695 (all A all B (v1_finset_1(k2_zfmisc_1(B,A)) -> A = k1_xboole_0 | v1_finset_1(B))) # label(t22_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2696 (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]. 43.75/42.60 2697 (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]. 43.75/42.60 2698 (all A (v1_finset_1(k1_zfmisc_1(A)) <-> v1_finset_1(A))) # label(t24_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2699 (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]. 43.75/42.60 2700 v1_finset_1(f1_s2_finset_1) & (all A all B (r2_hidden(A,f1_s2_finset_1) & r1_tarski(B,f1_s2_finset_1) & p1_s2_finset_1(B) -> p1_s2_finset_1(k2_xboole_0(B,k1_tarski(A))))) & p1_s2_finset_1(k1_xboole_0) -> p1_s2_finset_1(f1_s2_finset_1) # label(s2_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2701 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2702 (all A -((all B -(r2_hidden(B,A) & (all C (r2_hidden(C,A) -> r1_tarski(C,B))))) & v6_ordinal1(A) & k1_xboole_0 != A & v1_finset_1(A))) # label(t31_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2703 $T # label(t3_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2704 (all A (v1_finset_1(A) & (all B (r2_hidden(B,A) -> v1_finset_1(B))) <-> v1_finset_1(k3_tarski(A)))) # label(t25_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2705 (exists A (v1_relat_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) -> f3_s1_finset_1(B) = k1_funct_1(A,B)) & (p1_s1_finset_1(B) -> k1_funct_1(A,B) = f2_s1_finset_1(B))))) & v1_funct_1(A))) # label(s1_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2706 (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]. 43.75/42.60 2707 (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]. 43.75/42.60 2708 (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]. 43.75/42.60 2709 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k2_xboole_0(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2710 $T # label(t4_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2711 $T # label(t9_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2712 (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]. 43.75/42.60 2713 (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]. 43.75/42.60 2714 (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]. 43.75/42.60 2715 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(A) <-> v1_finset_1(k1_relat_1(A))))) # label(t29_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2716 (all A (v1_finset_1(A) <-> (exists B (r2_hidden(k1_relat_1(B),k5_ordinal2) & k2_relat_1(B) = A & v1_funct_1(B) & v1_relat_1(B))))) # label(d1_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2717 (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]. 43.75/42.60 2718 (all A all B (v1_finset_1(k2_zfmisc_1(A,B)) -> v1_finset_1(B) | k1_xboole_0 = A)) # label(t23_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2719 (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]. 43.75/42.60 2720 (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]. 43.75/42.60 2721 $T # label(t10_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2722 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2723 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_finset_1(B) & -v1_xboole_0(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2724 (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]. 43.75/42.60 2725 (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,C,B) = k1_finsub_1(A,B,C))) # label(commutativity_k1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2726 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k4_finsub_1(A,B,C) = k5_xboole_0(B,C))) # label(redefinition_k4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2727 (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]. 43.75/42.60 2728 (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]. 43.75/42.60 2729 (all A all B all C (-v1_xboole_0(C) & v4_finsub_1(C) -> (m1_subset_1(A,C) & m1_subset_1(B,C) -> m1_subset_1(k3_xboole_0(A,B),C)))) # label(t13_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2730 (all A (v4_finsub_1(A) -> v3_finsub_1(A) & v1_finsub_1(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2731 (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]. 43.75/42.60 2732 $T # label(t33_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2733 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k2_xboole_0(B,C),A) & r2_hidden(k5_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t17_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2734 (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]. 43.75/42.60 2735 (all A all B all C (v4_finsub_1(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k3_xboole_0(B,C) = k3_finsub_1(A,B,C))) # label(redefinition_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2736 (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]. 43.75/42.60 2737 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> m1_subset_1(k2_finsub_1(A,B,C),A))) # label(dt_k2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2738 $T # label(t4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2739 (exists A (v3_finsub_1(A) & v4_finsub_1(A) & v2_finsub_1(A) & v1_finsub_1(A) & -v1_xboole_0(A))) # label(rc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2740 (all A (-v1_xboole_0(A) & v4_finsub_1(A) -> (all B (v4_finsub_1(B) & -v1_xboole_0(B) -> v4_finsub_1(k3_xboole_0(A,B)) & -v1_xboole_0(k3_xboole_0(A,B)))))) # label(t21_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2741 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2742 $T # label(t29_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2743 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k2_xboole_0(B,C) = k1_finsub_1(A,B,C))) # label(redefinition_k1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2744 (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]. 43.75/42.60 2745 (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,C,B) = k4_finsub_1(A,B,C))) # label(commutativity_k4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2746 (all A ((all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k2_xboole_0(B,C),A) & r2_hidden(k4_xboole_0(B,C),A))) <-> v4_finsub_1(A))) # label(t10_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2747 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,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]. 43.75/42.60 2748 (all A all B k3_xboole_0(k5_finsub_1(A),k5_finsub_1(B)) = k5_finsub_1(k3_xboole_0(A,B))) # label(t24_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2749 (all A (v3_finsub_1(A) & v1_finsub_1(A) -> v4_finsub_1(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2750 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k3_xboole_0(B,C),A) & r2_hidden(k5_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t16_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2751 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) -> m1_subset_1(k4_finsub_1(A,B,C),A))) # label(dt_k4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2752 (all A ((all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k3_xboole_0(B,C),A))) <-> v2_finsub_1(A))) # label(d2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2753 (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]. 43.75/42.60 2754 $T # label(t6_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2755 (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]. 43.75/42.60 2756 (all A (v4_finsub_1(A) <-> v1_finsub_1(A) & v3_finsub_1(A))) # label(d4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2757 (all A (-v1_xboole_0(k5_finsub_1(A)) & v4_finsub_1(k5_finsub_1(A)) & v3_finsub_1(k5_finsub_1(A)) & v1_finsub_1(k5_finsub_1(A)))) # label(fc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2758 $T # label(t31_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2759 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k1_finsub_1(A,B,B) = B)) # label(idempotence_k1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2760 (all A r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A))) # label(t26_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2761 $T # label(t3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2762 (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(k5_xboole_0(A,B),C)))) # label(t14_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2763 (all A (v3_finsub_1(k1_zfmisc_1(A)) & v4_finsub_1(k1_zfmisc_1(A)) & v1_finsub_1(k1_zfmisc_1(A)) & -v1_xboole_0(k1_zfmisc_1(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2764 $T # label(t22_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2765 (all A v4_finsub_1(k1_zfmisc_1(A))) # label(t20_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2766 $T # label(t19_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2767 (all A (v1_finset_1(A) -> k1_zfmisc_1(A) = k5_finsub_1(A))) # label(t27_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2768 $T # label(t11_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2769 $T # label(t7_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2770 $T # label(t12_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2771 (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]. 43.75/42.60 2772 $T # label(t9_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2773 (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]. 43.75/42.60 2774 (all A all B (v4_finsub_1(B) -> (k5_finsub_1(A) = B <-> (all C (r2_hidden(C,B) <-> v1_finset_1(C) & r1_tarski(C,A)))))) # label(d5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2775 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) -> k4_xboole_0(B,C) = k2_finsub_1(A,B,C))) # label(redefinition_k2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2776 (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(k1_finsub_1(A,B,C),A))) # label(dt_k1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2777 $T # label(t1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2778 $T # label(t8_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2779 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> B = k3_finsub_1(A,B,B))) # label(idempotence_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2780 $T # label(t2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2781 $T # label(t5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2782 (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(k3_finsub_1(A,B,C),A))) # label(dt_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2783 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) -> (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)) -> (k1_xboole_0 != E -> (all F (v1_funct_1(F) & v1_funct_2(F,B,A) & m2_relset_1(F,B,A) -> (all G (m1_subset_1(G,A) -> k7_setwiseo(B,A,C,E,k7_funcop_1(A,B,D,F,G)) = k2_binop_1(A,A,A,D,k7_setwiseo(B,A,C,E,F),G))))))))))))))))) # label(t37_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2784 (all A k1_xboole_0 = k3_binop_1(k5_finsub_1(A),k9_setwiseo(A))) # label(t55_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2785 (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]. 43.75/42.60 2786 (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) -> (v3_binop_1(C,A) & v1_setwiseo(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> k7_setwiseo(B,A,C,k5_setwiseo(B,E,F),D) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D))))))))))))))) # label(t42_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2787 (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) -> m1_subset_1(k4_setwiseo(A,B,C,D),k5_finsub_1(A)))) # label(dt_k4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2788 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(A) -> m1_subset_1(k8_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k8_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2789 (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 (v1_funct_1(E) & m2_relset_1(E,B,A) & v1_funct_2(E,B,A) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_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))) | k1_xboole_0 = D))))))))))) # label(t29_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2790 (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)) -> C = B))))))))) # label(t69_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2791 (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) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v1_setwiseo(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(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]. 43.75/42.60 2792 (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,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]. 43.75/42.60 2793 $T # label(t48_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2794 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all 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) -> (v1_binop_1(D,A) & v2_binop_1(D,A) & v3_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (k1_xboole_0 != E -> (all F (m2_relset_1(F,B,k5_finsub_1(C)) & v1_funct_2(F,B,k5_finsub_1(C)) & v1_funct_1(F) -> (all G (v1_funct_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)) -> k2_binop_1(A,A,A,D,k8_funct_2(k5_finsub_1(C),A,G,H),k8_funct_2(k5_finsub_1(C),A,G,I)) = k8_funct_2(k5_finsub_1(C),A,G,k5_setwiseo(C,H,I)))))) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,k5_finsub_1(C),A,F,G)) = k8_funct_2(k5_finsub_1(C),A,G,k10_setwiseo(B,C,E,F))))))))))))))))) # label(t64_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.60 2795 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (v2_binop_1(C,B) & v3_binop_1(C,B) & v1_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(D,D),D) & v1_funct_2(E,k2_zfmisc_1(D,D),D) -> (v3_binop_1(E,D) & v2_binop_1(E,D) & v1_binop_1(E,D) -> (all F (v1_funct_1(F) & m2_relset_1(F,A,B) & v1_funct_2(F,A,B) -> (all G (v1_funct_2(G,B,D) & m2_relset_1(G,B,D) & v1_funct_1(G) -> ((all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> 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)) -> (H != k1_xboole_0 -> k7_setwiseo(A,D,E,H,k7_funct_2(A,B,D,F,G)) = k8_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)))))))))))))))))))))) # label(t39_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2796 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (v3_binop_1(C,B) & v2_binop_1(C,B) & v1_binop_1(C,B) -> -v1_setwiseo(C,B) & k1_xboole_0 = D | (all F (m1_subset_1(F,B) -> ((exists G (v1_funct_2(G,k5_finsub_1(A),B) & (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) -> H = k1_xboole_0 | (all I (m1_subset_1(I,A) -> (r2_hidden(I,D) -> k2_binop_1(B,B,B,C,k8_funct_2(k5_finsub_1(A),B,G,H),k8_funct_2(A,B,E,I)) = k8_funct_2(k5_finsub_1(A),B,G,k5_setwiseo(A,H,k2_setwiseo(A,I))))))))) & F = k8_funct_2(k5_finsub_1(A),B,G,D) & m2_relset_1(G,k5_finsub_1(A),B) & v1_funct_1(G))) <-> F = k7_setwiseo(A,B,C,D,E))))))))))))))) # label(t25_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2797 $T # label(t1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2798 (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]. 43.75/42.61 2799 (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 | k7_setwiseo(B,A,C,F,D) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D)))))))))))))))) # label(t32_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2800 (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]. 43.75/42.61 2801 (all A v1_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t50_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2802 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k2_setwiseo(A,B),k5_finsub_1(A)))) # label(dt_k2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2803 (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 (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,A) -> ((all G (m1_subset_1(G,B) -> (r2_hidden(G,D) -> F = k8_funct_2(B,A,E,G)))) -> k7_setwiseo(B,A,C,D,E) = F)))))))))))))) # label(t33_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2804 (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) -> (v3_binop_1(C,B) & v1_setwiseo(C,B) & v2_binop_1(C,B) & v1_binop_1(C,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> (k8_setwiseo(A,B,D,F) = k8_setwiseo(A,B,E,G) -> k7_setwiseo(A,B,C,G,E) = k7_setwiseo(A,B,C,F,D))))))))))))))))) # label(t43_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2805 (all A all B all C (r2_hidden(A,k2_xboole_0(B,k1_tarski(C))) <-> r2_hidden(A,B) | C = A)) # label(t6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2806 (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]. 43.75/42.61 2807 (all A v3_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t49_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2808 (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)) -> k10_setwiseo(A,B,D,C) = k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,D)))))))) # label(t61_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2809 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> k6_setwiseo(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2810 (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_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,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) -> k1_xboole_0 = F | k7_setwiseo(A,B,C,F,D) = k7_setwiseo(A,B,C,G,E))))))))))))))))) # label(t35_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2811 (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) -> (B = k11_setwiseo(A) <-> (all C (r2_hidden(C,A) -> k1_funct_1(B,C) = k1_tarski(C)))))) # label(d6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2812 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> -((all C (m1_subset_1(C,A) -> -r2_hidden(C,B))) & B != k1_xboole_0))))) # label(t18_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2813 (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]. 43.75/42.61 2814 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,k5_finsub_1(A)) & v1_funct_1(C) -> k9_relat_1(C,D) = k8_setwiseo(A,B,C,D))) # label(redefinition_k8_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2815 (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]. 43.75/42.61 2816 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> B = k10_setwiseo(A,A,B,k11_setwiseo(A)))))) # label(t71_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2817 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k3_setwiseo(A,B,C) = k2_tarski(B,C))) # label(redefinition_k3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2818 (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]. 43.75/42.61 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 (m2_relset_1(E,A,B) & v1_funct_2(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(B,C,k8_setwiseo(A,B,E,D),F) = k10_setwiseo(A,C,D,k7_funct_2(A,B,k5_finsub_1(C),E,F)))))))))))) # label(t63_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.75/42.61 2820 (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]. 43.75/42.61 2821 (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]. 43.75/42.61 2822 (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) -> (v3_binop_1(C,B) & v1_setwiseo(C,B) & v2_binop_1(C,B) & v1_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(D,D),D) & v1_funct_2(E,k2_zfmisc_1(D,D),D) -> (v1_binop_1(E,D) & v2_binop_1(E,D) & v3_binop_1(E,D) & v1_setwiseo(E,D) -> (all F (v1_funct_2(F,A,B) & m2_relset_1(F,A,B) & v1_funct_1(F) -> (all G (m2_relset_1(G,B,D) & v1_funct_2(G,B,D) & v1_funct_1(G) -> (k8_funct_2(B,D,G,k3_binop_1(B,C)) = k3_binop_1(D,E) & (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)) -> k8_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)) = k7_setwiseo(A,D,E,H,k7_funct_2(A,B,D,F,G))))))))))))))))))))) # label(t45_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2823 (all A exists B (v1_xboole_0(B) & v1_finset_1(B) & m1_subset_1(B,k5_finsub_1(A)))) # label(rc1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2824 (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 (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (v1_binop_1(C,A) & v3_binop_1(C,A) & v2_binop_1(C,A) -> (all F (m1_subset_1(F,B) -> (r2_hidden(F,D) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,E,F),k7_setwiseo(B,A,C,D,E)) = k7_setwiseo(B,A,C,D,E))))))))))))))) # label(t31_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2825 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) -> (v3_binop_1(D,B) & v1_setwiseo(D,B) & v2_binop_1(D,B) & v1_binop_1(D,B) -> (all E (m2_relset_1(E,A,k5_finsub_1(C)) & v1_funct_2(E,A,k5_finsub_1(C)) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k5_finsub_1(C),B) & m2_relset_1(F,k5_finsub_1(C),B) -> ((all G (m1_subset_1(G,k5_finsub_1(C)) -> (all H (m1_subset_1(H,k5_finsub_1(C)) -> k8_funct_2(k5_finsub_1(C),B,F,k5_setwiseo(C,G,H)) = k2_binop_1(B,B,B,D,k8_funct_2(k5_finsub_1(C),B,F,G),k8_funct_2(k5_finsub_1(C),B,F,H)))))) & k8_funct_2(k5_finsub_1(C),B,F,k1_setwiseo(C)) = k3_binop_1(B,D) -> (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]. 43.77/42.61 2826 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k3_setwiseo(A,B,C) = k3_setwiseo(A,C,B))) # label(commutativity_k3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2827 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k2_setwiseo(A,B) = k1_tarski(B))) # label(redefinition_k2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2828 (all A r3_binop_1(k5_finsub_1(A),k1_setwiseo(A),k9_setwiseo(A))) # label(t52_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2829 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> ((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]. 43.77/42.61 2830 (all A (-v1_xboole_0(A) -> (all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m2_relset_1(D,A,k5_finsub_1(B)) -> (all E (v1_funct_1(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)) -> (k1_setwiseo(C) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k1_setwiseo(B)) & (all F (m1_subset_1(F,k5_finsub_1(B)) -> (all G (m1_subset_1(G,k5_finsub_1(B)) -> k5_setwiseo(C,k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,F),k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,G)) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k5_setwiseo(B,F,G)))))) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> 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]. 43.77/42.61 2831 (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) -> k8_funct_2(A,k5_finsub_1(B),C,D) = k10_setwiseo(A,B,k2_setwiseo(A,D),C))))))) # label(t56_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2832 (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]. 43.77/42.61 2833 (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]. 43.77/42.61 2834 $T # label(t17_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2835 (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]. 43.77/42.61 2836 (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) -> (v3_binop_1(C,A) & v1_binop_1(C,A) & v2_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,E),k8_funct_2(B,A,D,F)),k8_funct_2(B,A,D,G)) = k7_setwiseo(B,A,C,k4_setwiseo(B,E,F,G),D)))))))))))))))) # label(t28_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2837 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> k2_xboole_0(B,C) = k5_setwiseo(A,B,C))) # label(redefinition_k5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2838 (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) & v2_binop_1(D,A) & v1_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (v1_funct_2(F,B,C) & m2_relset_1(F,B,C) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,C,A) & v1_funct_2(G,C,A) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,C,A,F,G)) = k7_setwiseo(C,A,D,k8_setwiseo(B,C,F,E),G))))))))))))))))) # label(t38_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2839 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,B,A) & m2_relset_1(C,B,A) & v1_funct_1(C) -> (all D (m1_subset_1(D,B) -> 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]. 43.77/42.61 2840 (all A v2_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t51_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2841 $T # label(t9_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2842 (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) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> -(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)) & F != k1_xboole_0 & k1_xboole_0 != E)))))))))))))) # label(t30_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2843 (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) -> (v2_binop_1(C,A) & v1_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]. 43.77/42.61 2844 (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]. 43.77/42.61 2845 $T # label(t10_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2846 $T # label(t20_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2847 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]. 43.77/42.61 2848 $T # label(t7_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2849 (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]. 43.77/42.61 2850 (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,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]. 43.77/42.61 2851 (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]. 43.77/42.61 2852 (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) <-> r3_binop_1(A,k3_binop_1(A,B),B)))))) # label(t22_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2853 (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) -> (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) -> k7_setwiseo(B,A,C,k3_setwiseo(B,E,F),D) = k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,E),k8_funct_2(B,A,D,F))))))))))))))) # label(t27_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2854 $T # label(t2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2855 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (v3_binop_1(C,A) & v1_binop_1(C,A) & v1_setwiseo(C,A) & v2_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]. 43.77/42.61 2856 (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]. 43.77/42.61 2857 (all A v1_setwiseo(k9_setwiseo(A),k5_finsub_1(A))) # label(t53_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2858 (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]. 43.77/42.61 2859 (all A all B all C all D all E (-v1_xboole_0(A) & m1_relset_1(C,k2_zfmisc_1(B,B),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) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & -v1_xboole_0(B) -> m1_subset_1(k7_setwiseo(A,B,C,D,E),B))) # label(dt_k7_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2860 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m2_relset_1(D,A,k5_finsub_1(B)) -> k7_setwiseo(A,k5_finsub_1(B),k9_setwiseo(B),C,D) = k10_setwiseo(A,B,C,D))))))) # label(d5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2861 $T # label(t21_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2862 (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]. 43.77/42.61 2863 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & m2_relset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) -> (k9_setwiseo(A) = B <-> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> k5_setwiseo(A,C,D) = k2_binop_1(k5_finsub_1(A),k5_finsub_1(A),k5_finsub_1(A),B,C,D)))))))) # label(d4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2864 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (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]. 43.77/42.61 2865 (exists A (v1_funct_1(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,k8_funct_2(f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo),A,B)) <-> r2_hidden(C,f2_s1_setwiseo) & p1_s1_setwiseo(C,B)))))) & v1_funct_2(A,f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo)))) # label(s1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2866 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v1_setwiseo(B,A) -> (all C (m1_subset_1(C,A) -> C = k2_binop_1(A,A,A,B,C,k3_binop_1(A,B)) & k2_binop_1(A,A,A,B,k3_binop_1(A,B),C) = C))))))) # label(t23_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2867 $T # label(t46_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2868 (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) -> ((exists C (r3_binop_1(A,C,B) & m1_subset_1(C,A))) <-> v1_setwiseo(B,A)))))) # label(d2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2869 (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]. 43.77/42.61 2870 (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) -> k2_funct_2(B,A,C,k1_tarski(D)) = k1_tarski(k8_funct_2(B,A,C,D)))))))))) # label(t13_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2871 (all A k1_xboole_0 = k1_setwiseo(A)) # label(d1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2872 (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,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (v1_setwiseo(D,A) & v2_binop_1(D,A) & v1_binop_1(D,A) & v3_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (v1_funct_1(F) & m2_relset_1(F,B,C) & v1_funct_2(F,B,C) -> (all G (v1_funct_2(G,C,A) & m2_relset_1(G,C,A) & v1_funct_1(G) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,C,A,F,G)) = k7_setwiseo(C,A,D,k8_setwiseo(B,C,F,E),G)))))))))))))))) # label(t44_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.77/42.61 2873 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (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 (v1_funct_2(F,B,A) & m2_relset_1(F,B,A) & v1_funct_1(F) -> (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]. 43.78/42.63 2874 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,A,k5_finsub_1(A)) & v1_funct_2(B,A,k5_finsub_1(A)) -> (k11_setwiseo(A) = B <-> (all C (m1_subset_1(C,A) -> k2_setwiseo(A,C) = k8_funct_2(A,k5_finsub_1(A),B,C)))))))) # label(t67_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2875 $T # label(t66_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2876 (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]. 43.78/42.63 2877 (all A all B all C all D (v1_funct_2(D,A,k5_finsub_1(B)) & m1_relset_1(D,A,k5_finsub_1(B)) & v1_funct_1(D) & m1_subset_1(C,k5_finsub_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k10_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k10_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2878 (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(A) & p1_s3_setwiseo(B) -> p1_s3_setwiseo(k5_setwiseo(f1_s3_setwiseo,A,B)) | B = k1_xboole_0 | A = 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]. 43.78/42.63 2879 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> m1_subset_1(k5_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2880 (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) -> (all F (m1_subset_1(F,A) -> 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)) = k10_setwiseo(A,B,k4_setwiseo(A,D,E,F),C))))))))))) # label(t58_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2881 (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,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]. 43.78/42.63 2882 $T # label(t24_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2883 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (v2_binop_1(C,B) & v1_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> ((exists G (v1_funct_2(G,k5_finsub_1(A),B) & m2_relset_1(G,k5_finsub_1(A),B) & (all H (m1_subset_1(H,B) -> (r3_binop_1(B,H,C) -> H = k1_funct_1(G,k1_xboole_0)))) & (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)) -> k2_binop_1(B,B,B,C,k8_funct_2(k5_finsub_1(A),B,G,H),k8_funct_2(A,B,E,I)) = k8_funct_2(k5_finsub_1(A),B,G,k5_setwiseo(A,H,k2_setwiseo(A,I)))))) | 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)))) & k8_funct_2(k5_finsub_1(A),B,G,D) = F & v1_funct_1(G))) <-> k7_setwiseo(A,B,C,D,E) = F))) | -v1_setwiseo(C,B) & D = k1_xboole_0))))))))))) # label(d3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2884 (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]. 43.78/42.63 2885 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> (k2_setwiseo(B,F) = k2_funct_2(A,B,E,D) -> k7_setwiseo(A,B,C,D,E) = F)))))))))))))) # label(t34_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2886 $T # label(t47_setwiseo) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2887 (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]. 43.78/42.63 2888 (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]. 43.78/42.63 2889 (all A (r2_hidden(A,a_0_36_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s20_fraenkel) & f4_s20_fraenkel = C & p1_s20_fraenkel(B,C) & A = f3_s20_fraenkel(B,C) & m1_subset_1(C,f2_s20_fraenkel))))) # label(fraenkel_a_0_36_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2890 (all A (r2_hidden(A,a_0_34_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s19_fraenkel) & m1_subset_1(C,f2_s19_fraenkel) & p2_s19_fraenkel(B,C) & A = f3_s19_fraenkel(B,C))))) # label(fraenkel_a_0_34_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2891 (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]. 43.78/42.63 2892 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (all D (m2_fraenkel(D,A,B,C) -> v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2893 (all A ((exists B (m1_subset_1(B,f1_s5_fraenkel) & p1_s5_fraenkel(B) & A = f2_s5_fraenkel(B))) <-> r2_hidden(A,a_0_8_fraenkel))) # label(fraenkel_a_0_8_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2894 (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]. 43.78/42.63 2895 (all A ((exists B (A = f3_s6_fraenkel(B) & p1_s6_fraenkel(B) & m1_subset_1(B,f1_s6_fraenkel))) <-> r2_hidden(A,a_0_11_fraenkel))) # label(fraenkel_a_0_11_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2896 (all A (m1_subset_1(A,f1_s9_fraenkel) -> (r2_hidden(A,f3_s9_fraenkel) -> (p2_s9_fraenkel(A) <-> p1_s9_fraenkel(A))))) & k7_relat_1(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]. 43.78/42.63 2897 (all A (r2_hidden(A,a_0_20_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s12_fraenkel) & p1_s12_fraenkel(B,C) & f3_s12_fraenkel(B,C) = A & m1_subset_1(B,f1_s12_fraenkel))))) # label(fraenkel_a_0_20_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2898 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(C,B) & r1_tarski(D,A) -> k1_funct_2(C,D) = k1_xboole_0 | (all E (m1_subset_1(E,k1_funct_2(C,D)) -> v1_funct_1(E) & m2_relset_1(E,B,A))))))) # label(t6_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2899 $T # label(t4_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2900 (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]. 43.78/42.63 2901 (exists A (m1_subset_1(A,k5_finsub_1(f1_s24_fraenkel)) & (all B (m1_subset_1(B,f1_s24_fraenkel) -> ((exists C (m1_subset_1(C,f2_s24_fraenkel) & B = f4_s24_fraenkel(C) & p1_s24_fraenkel(B,C) & r2_hidden(C,f3_s24_fraenkel))) <-> r2_hidden(B,A)))))) # label(s24_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2902 (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]. 43.78/42.63 2903 (all A (r2_hidden(A,a_0_37_fraenkel) <-> (exists B (f3_s20_fraenkel(B,f4_s20_fraenkel) = A & p1_s20_fraenkel(B,f4_s20_fraenkel) & m1_subset_1(B,f1_s20_fraenkel))))) # label(fraenkel_a_0_37_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2904 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (all D (m2_fraenkel(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2905 (all A ((exists B (r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,B,f3_s25_fraenkel),f4_s25_fraenkel) & A = f5_s25_fraenkel(B) & m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)))) <-> r2_hidden(A,a_0_40_fraenkel))) # label(fraenkel_a_0_40_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2906 (all A (r2_hidden(A,a_0_38_fraenkel) <-> (exists B (r2_hidden(B,f2_s21_fraenkel) & A = f3_s21_fraenkel(B) & m1_subset_1(B,f1_s21_fraenkel))))) # label(fraenkel_a_0_38_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2907 (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]. 43.78/42.63 2908 v1_finset_1(f2_s21_fraenkel) -> v1_finset_1(a_0_38_fraenkel) # label(s21_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2909 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2910 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(D,A) & r1_tarski(C,B) -> k1_xboole_0 = k1_funct_2(C,D) | (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))))))))) # label(t14_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2911 (all A all B (-v1_xboole_0(B) -> k1_fraenkel(A,B) = k1_funct_2(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2912 (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]. 43.78/42.63 2913 (all A (m1_subset_1(A,f1_s26_fraenkel) -> -((all B (m1_subset_1(B,f2_s26_fraenkel) -> -p1_s26_fraenkel(A,B))) & r2_hidden(A,f3_s26_fraenkel)))) -> (exists A ((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) & v1_funct_2(A,f1_s26_fraenkel,f2_s26_fraenkel) & v1_funct_1(A))) # label(s26_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2914 (all A (v1_fraenkel(A) -> (all B (r1_tarski(B,A) -> v1_fraenkel(B))))) # label(t17_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2915 (all A (r2_hidden(A,a_0_32_fraenkel) <-> (exists B (m1_subset_1(B,f1_s17_fraenkel) & f3_s17_fraenkel(B) = A & r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel) & p1_s17_fraenkel(B))))) # label(fraenkel_a_0_32_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2916 (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(A,B) & p1_s23_fraenkel(B,C) -> p1_s23_fraenkel(A,C)))))))) & (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) -> -(p1_s23_fraenkel(B,A) & (all C (m1_subset_1(C,f1_s23_fraenkel) -> (r2_hidden(C,f2_s23_fraenkel) & p1_s23_fraenkel(C,B) -> p1_s23_fraenkel(B,C)))) & r2_hidden(B,f2_s23_fraenkel)))) & r2_hidden(A,f2_s23_fraenkel)))) # label(s23_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2917 (all A ((exists B (m1_subset_1(B,f3_s13_fraenkel) & r2_hidden(B,a_0_22_fraenkel) & p2_s13_fraenkel(B) & A = B)) <-> r2_hidden(A,a_0_21_fraenkel))) # label(fraenkel_a_0_21_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2918 (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]. 43.78/42.63 2919 (all A (r2_hidden(A,a_0_0_fraenkel) <-> (exists B (m1_subset_1(B,f1_s1_fraenkel) & A = f2_s1_fraenkel(B) & p1_s1_fraenkel(B))))) # label(fraenkel_a_0_0_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2920 (all A (r2_hidden(A,a_0_33_fraenkel) <-> (exists B (m1_subset_1(B,f1_s18_fraenkel) & A = f3_s18_fraenkel(B) & p1_s18_fraenkel(B) & -r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel))))) # label(fraenkel_a_0_33_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2921 (all A (r2_hidden(A,a_0_39_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s22_fraenkel) & m1_subset_1(C,f2_s22_fraenkel) & A = f5_s22_fraenkel(B,C) & r2_hidden(C,f4_s22_fraenkel) & r2_hidden(B,f3_s22_fraenkel))))) # label(fraenkel_a_0_39_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2922 (all A (r2_hidden(A,a_0_23_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s13_fraenkel) & p2_s13_fraenkel(f4_s13_fraenkel(B,C)) & p1_s13_fraenkel(B,C) & A = f4_s13_fraenkel(B,C) & m1_subset_1(C,f2_s13_fraenkel))))) # label(fraenkel_a_0_23_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2923 (all A ((exists B (m1_subset_1(B,f1_s14_fraenkel) & p2_s14_fraenkel(B) & p1_s14_fraenkel(B) & f2_s14_fraenkel(B) = A)) <-> r2_hidden(A,a_0_26_fraenkel))) # label(fraenkel_a_0_26_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2924 (all A ((exists B exists C (m1_subset_1(B,f1_s11_fraenkel) & m1_subset_1(C,f2_s11_fraenkel) & p1_s11_fraenkel(B,C) & A = f3_s11_fraenkel(B,C))) <-> r2_hidden(A,a_0_19_fraenkel))) # label(fraenkel_a_0_19_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2925 (all A (m1_subset_1(A,f1_s7_fraenkel) -> (all B (m1_subset_1(B,f2_s7_fraenkel) -> f3_s7_fraenkel(A,B) = f4_s7_fraenkel(A,B))))) -> a_0_12_fraenkel = a_0_13_fraenkel # label(s7_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2926 (all A (m1_subset_1(A,f1_s19_fraenkel) -> (all B (m1_subset_1(B,f2_s19_fraenkel) -> (p2_s19_fraenkel(A,B) <-> p1_s19_fraenkel(A,B) & B = f4_s19_fraenkel))))) -> a_0_34_fraenkel = a_0_35_fraenkel # label(s19_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2927 (all A (r2_hidden(A,a_0_6_fraenkel) <-> (exists B exists C (f3_s4_fraenkel(B,C) = A & p1_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]. 43.78/42.63 2928 (all A ((exists B exists C (m1_subset_1(C,f2_s16_fraenkel) & A = f3_s16_fraenkel(B,C) & p1_s16_fraenkel(B,C) & m1_subset_1(B,f1_s16_fraenkel))) <-> r2_hidden(A,a_0_30_fraenkel))) # label(fraenkel_a_0_30_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2929 v1_finset_1(f4_s22_fraenkel) & v1_finset_1(f3_s22_fraenkel) -> v1_finset_1(a_0_39_fraenkel) # label(s22_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2930 $T # label(t9_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2931 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2932 (all A (m1_subset_1(A,f1_s6_fraenkel) -> (p1_s6_fraenkel(A) -> f2_s6_fraenkel(A) = f3_s6_fraenkel(A)))) -> a_0_11_fraenkel = a_0_10_fraenkel # label(s6_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2933 (all A (r2_hidden(A,a_0_22_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s13_fraenkel) & m1_subset_1(C,f2_s13_fraenkel) & p1_s13_fraenkel(B,C) & A = f4_s13_fraenkel(B,C))))) # label(fraenkel_a_0_22_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2934 (all A ((exists B exists C (f3_s16_fraenkel(B,C) = A & p2_s16_fraenkel(B,C) & m1_subset_1(C,f2_s16_fraenkel) & m1_subset_1(B,f1_s16_fraenkel))) <-> r2_hidden(A,a_0_31_fraenkel))) # label(fraenkel_a_0_31_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2935 (all A (m1_subset_1(A,f1_s27_fraenkel) -> -((all B (m1_subset_1(B,f2_s27_fraenkel) -> -p1_s27_fraenkel(A,B))) & r2_hidden(A,f3_s27_fraenkel)))) -> (exists A (m2_fraenkel(A,f1_s27_fraenkel,f2_s27_fraenkel,k1_fraenkel(f1_s27_fraenkel,f2_s27_fraenkel)) & (all B (m1_subset_1(B,f1_s27_fraenkel) -> (r2_hidden(B,f3_s27_fraenkel) -> p1_s27_fraenkel(B,k8_funct_2(f1_s27_fraenkel,f2_s27_fraenkel,A,B))))))) # label(s27_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2936 $T # label(t13_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2937 (all A (r2_hidden(A,a_0_24_fraenkel) <-> (exists B (m1_subset_1(B,f1_s14_fraenkel) & A = f2_s14_fraenkel(B) & p1_s14_fraenkel(B) & r2_hidden(B,a_0_25_fraenkel))))) # label(fraenkel_a_0_24_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2938 (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) -> (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]. 43.78/42.63 2939 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2940 $T # label(t1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2941 (all A (-v1_xboole_0(A) -> (all B all C all D (m2_fraenkel(D,B,A,k1_fraenkel(B,A)) -> k7_relat_1(D,C) = k7_relat_1(D,k3_xboole_0(B,C)))))) # label(t15_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2942 (all A (r2_hidden(A,a_0_3_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s2_fraenkel) & f3_s2_fraenkel(B,C) = A & p2_s2_fraenkel(B,C) & m1_subset_1(B,f1_s2_fraenkel))))) # label(fraenkel_a_0_3_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2943 $T # label(t7_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2944 (all A (r2_hidden(A,a_0_4_fraenkel) <-> (exists B (m1_subset_1(B,f1_s3_fraenkel) & A = f2_s3_fraenkel(B) & p1_s3_fraenkel(B))))) # label(fraenkel_a_0_4_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2945 (all A (r2_hidden(A,a_0_9_fraenkel) <-> (exists B (A = f3_s5_fraenkel(B) & p1_s5_fraenkel(B) & m1_subset_1(B,f1_s5_fraenkel))))) # label(fraenkel_a_0_9_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2946 (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]. 43.78/42.63 2947 $T # label(t2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2948 (all A ((exists B exists C (m1_subset_1(B,f1_s8_fraenkel) & p1_s8_fraenkel(B,C) & f3_s8_fraenkel(B,C) = A & m1_subset_1(C,f2_s8_fraenkel))) <-> r2_hidden(A,a_0_14_fraenkel))) # label(fraenkel_a_0_14_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2949 (all A (r2_hidden(A,a_0_1_fraenkel) <-> (exists B (m1_subset_1(B,f1_s1_fraenkel) & f2_s1_fraenkel(B) = A & p2_s1_fraenkel(B))))) # label(fraenkel_a_0_1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2950 (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]. 43.78/42.63 2951 (all A (r2_hidden(A,a_0_27_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s15_fraenkel) & A = f3_s15_fraenkel(B,C) & p1_s15_fraenkel(B,C) & r2_hidden(B,a_0_28_fraenkel) & m1_subset_1(B,f1_s15_fraenkel))))) # label(fraenkel_a_0_27_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2952 (all A (r2_hidden(A,a_0_16_fraenkel) <-> (exists B (m1_subset_1(B,f1_s9_fraenkel) & k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B) = A & p1_s9_fraenkel(B) & r2_hidden(B,f3_s9_fraenkel))))) # label(fraenkel_a_0_16_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2953 (all A (r2_hidden(A,a_0_15_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s8_fraenkel) & m1_subset_1(C,f2_s8_fraenkel) & A = f3_s8_fraenkel(C,B) & p2_s8_fraenkel(B,C))))) # label(fraenkel_a_0_15_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2954 (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]. 43.78/42.63 2955 (all A ((exists B (m1_subset_1(B,f1_s10_fraenkel) & p1_s10_fraenkel(B) & A = B)) <-> r2_hidden(A,a_0_18_fraenkel))) # label(fraenkel_a_0_18_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2956 (all A (r2_hidden(A,a_0_5_fraenkel) <-> (exists B (f2_s3_fraenkel(B) = A & p2_s3_fraenkel(B) & m1_subset_1(B,f1_s3_fraenkel))))) # label(fraenkel_a_0_5_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2957 (all A (r2_hidden(A,a_0_13_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s7_fraenkel) & p1_s7_fraenkel(B,C) & A = f4_s7_fraenkel(B,C) & m1_subset_1(C,f2_s7_fraenkel))))) # label(fraenkel_a_0_13_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2958 (all A ((exists B (r2_hidden(B,f3_s9_fraenkel) & p2_s9_fraenkel(B) & k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f5_s9_fraenkel,B) = A & m1_subset_1(B,f1_s9_fraenkel))) <-> r2_hidden(A,a_0_17_fraenkel))) # label(fraenkel_a_0_17_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2959 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_fraenkel(k1_tarski(A)))) # label(t8_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2960 (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)))))) & (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))))) -> a_0_14_fraenkel = a_0_15_fraenkel # label(s8_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2961 (all A (r2_hidden(A,a_0_25_fraenkel) <-> (exists B (m1_subset_1(B,f1_s14_fraenkel) & p2_s14_fraenkel(B) & B = A)))) # label(fraenkel_a_0_25_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2962 (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]. 43.78/42.63 2963 (all A ((exists B (m1_subset_1(B,f1_s19_fraenkel) & f3_s19_fraenkel(B,f4_s19_fraenkel) = A & p1_s19_fraenkel(B,f4_s19_fraenkel))) <-> r2_hidden(A,a_0_35_fraenkel))) # label(fraenkel_a_0_35_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2964 (all A (r2_hidden(A,a_0_7_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s4_fraenkel) & m1_subset_1(C,f2_s4_fraenkel) & p2_s4_fraenkel(B,C) & f3_s4_fraenkel(B,C) = A)))) # label(fraenkel_a_0_7_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2965 (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]. 43.78/42.63 2966 (all A ((exists B exists C (m1_subset_1(B,f1_s15_fraenkel) & p2_s15_fraenkel(B) & p1_s15_fraenkel(B,C) & A = f3_s15_fraenkel(B,C) & m1_subset_1(C,f2_s15_fraenkel))) <-> r2_hidden(A,a_0_29_fraenkel))) # label(fraenkel_a_0_29_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2967 (all A ((exists B (A = B & p2_s15_fraenkel(B) & m1_subset_1(B,f1_s15_fraenkel))) <-> r2_hidden(A,a_0_28_fraenkel))) # label(fraenkel_a_0_28_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2968 (all A all B all C (v1_fraenkel(C) & -v1_xboole_0(C) -> ((all D (m1_subset_1(D,C) -> v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D))) <-> m1_fraenkel(C,A,B)))) # label(d2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2969 $T # label(t12_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2970 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2971 (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]. 43.78/42.63 2972 (all A (v1_fraenkel(A) <-> (all B (r2_hidden(B,A) -> v1_funct_1(B) & v1_relat_1(B))))) # label(d1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2973 (all A (r2_hidden(A,a_0_12_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s7_fraenkel) & p1_s7_fraenkel(B,C) & f3_s7_fraenkel(B,C) = A & m1_subset_1(B,f1_s7_fraenkel))))) # label(fraenkel_a_0_12_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2974 (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]. 43.78/42.63 2975 (all A ((exists B exists C (m1_subset_1(B,f1_s2_fraenkel) & m1_subset_1(C,f2_s2_fraenkel) & f3_s2_fraenkel(B,C) = A & p1_s2_fraenkel(B,C))) <-> r2_hidden(A,a_0_2_fraenkel))) # label(fraenkel_a_0_2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2976 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]. 43.78/42.63 2977 (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]. 43.78/42.63 2978 $T # label(dt_k1_numbers) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2979 (all A ((exists B (np__0 = k1_funct_1(B,k13_arytm_3) & A = B & 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]. 43.78/42.63 2980 $T # label(dt_k4_numbers) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2981 $T # label(dt_k3_numbers) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2982 $T # label(dt_k2_numbers) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2983 (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]. 43.78/42.63 2984 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A) & v2_xreal_0(A) & -v3_xreal_0(A) & -v1_xboole_0(A))) # label(rc2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2985 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v2_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & v3_xreal_0(k6_xcmplx_0(B,A)) & -v2_xreal_0(k6_xcmplx_0(B,A)) & -v1_xboole_0(k6_xcmplx_0(B,A)))) # label(fc18_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2986 (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]. 43.78/42.63 2987 (all A (v1_xreal_0(A) & v3_xreal_0(A) -> -v1_xboole_0(A) & v1_xreal_0(A) & -v2_xreal_0(A) & v1_xcmplx_0(A))) # label(cc5_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2988 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)))) # label(fc4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2989 (all A all B (v1_xreal_0(B) & -v3_xreal_0(B) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k3_xcmplx_0(B,A)) & -v2_xreal_0(k3_xcmplx_0(B,A)) & v1_xreal_0(k3_xcmplx_0(B,A)))) # label(fc22_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2990 (all A all B (v1_xreal_0(A) & v3_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) -> v1_xcmplx_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_xboole_0(k6_xcmplx_0(B,A)))) # label(fc20_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2991 (all A all B (-v3_xreal_0(B) & v1_xreal_0(B) & -v2_xreal_0(A) & v1_xreal_0(A) -> -v2_xreal_0(k3_xcmplx_0(A,B)) & v1_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]. 43.78/42.63 2992 (exists A (-v1_xboole_0(A) & v1_xcmplx_0(A) & -v2_xreal_0(A) & v3_xreal_0(A) & v1_xreal_0(A))) # label(rc3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2993 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v2_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(A,B)) & v2_xreal_0(k6_xcmplx_0(A,B)) & -v3_xreal_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & -v1_xboole_0(k6_xcmplx_0(A,B)))) # label(fc17_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2994 (all A all B (v1_xreal_0(B) & -v2_xreal_0(B) & -v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(B,A)) & v1_xreal_0(k7_xcmplx_0(B,A)) & -v2_xreal_0(k7_xcmplx_0(B,A)))) # label(fc28_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2995 (all A (v1_xreal_0(A) -> (-r1_xreal_0(np__0,A) <-> v3_xreal_0(A)))) # label(d4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2996 (all A (v1_xreal_0(A) & -v2_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]. 43.78/42.63 2997 (all A (v1_xreal_0(A) -> (-r1_xreal_0(A,np__0) <-> v2_xreal_0(A)))) # label(d3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2998 (all A (v1_xreal_0(A) & -v3_xreal_0(A) -> v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)) & -v2_xreal_0(k4_xcmplx_0(A)))) # label(fc14_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 2999 (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]. 43.78/42.63 3000 (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]. 43.78/42.63 3001 (all A all B (v1_xreal_0(B) & -v3_xreal_0(B) & v2_xreal_0(A) & 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(fc10_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3002 (all A (-v1_xboole_0(A) & -v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v2_xreal_0(A))) # label(cc4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3003 (all A all B (v1_xreal_0(B) & -v3_xreal_0(B) & -v3_xreal_0(A) & v1_xreal_0(A) -> v1_xreal_0(k7_xcmplx_0(A,B)) & -v3_xreal_0(k7_xcmplx_0(A,B)) & v1_xcmplx_0(k7_xcmplx_0(A,B)))) # label(fc29_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3004 (all A (r2_hidden(A,k1_numbers) <-> v1_xreal_0(A))) # label(d1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3005 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2) -> ((exists C ((exists D (r1_arytm_2(C,D) & D = B & C = A & m1_subset_1(D,k2_arytm_2))) & m1_subset_1(C,k2_arytm_2))) <-> r1_xreal_0(A,B))) & (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)) -> (r1_xreal_0(A,B) <-> (exists C (m1_subset_1(C,k2_arytm_2) & (exists D (k4_tarski(np__0,C) = A & r1_arytm_2(D,C) & k4_tarski(np__0,D) = B & m1_subset_1(D,k2_arytm_2))))))) & -(-(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_arytm_2) <-> r1_xreal_0(A,B)) & -(r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)))))))) # label(d2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3006 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> r1_xreal_0(A,B) | r1_xreal_0(B,A))) # label(connectedness_r1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3007 (all A (v4_ordinal2(A) -> v1_xreal_0(A))) # label(cc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3008 (all A all B (-v3_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) & v1_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]. 43.78/42.63 3009 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A) & -v3_xreal_0(A) & -v2_xreal_0(A) & v1_xboole_0(A))) # label(rc4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3010 (all A all B (-v2_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & -v3_xreal_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)))) # label(fc30_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3011 (all A all B (v2_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & v1_xreal_0(A) -> -v1_xboole_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)) & -v3_xreal_0(k2_xcmplx_0(A,B)) & v2_xreal_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)))) # label(fc9_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3012 (all A all B (v1_xreal_0(A) & v3_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) -> -v1_xboole_0(k2_xcmplx_0(A,B)) & v1_xcmplx_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)))) # label(fc11_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3013 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & -v3_xreal_0(k6_xcmplx_0(A,B)))) # label(fc15_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3014 (all A all B (-v2_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & -v3_xreal_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)))) # label(fc23_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3015 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & -v3_xreal_0(A) -> v1_xreal_0(k2_xcmplx_0(A,B)) & -v3_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc7_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3016 (all A (v1_xreal_0(A) & -v2_xreal_0(A) & -v3_xreal_0(A) -> v1_xboole_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc8_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3017 (all A all B (v1_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) -> v1_xcmplx_0(k6_xcmplx_0(B,A)) & -v2_xreal_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)))) # label(fc16_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3018 (all A (v1_xreal_0(A) & v1_xboole_0(A) -> -v2_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc7_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3019 (all A (v2_xreal_0(A) & v1_xreal_0(A) -> -v3_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A) & -v1_xboole_0(A))) # label(cc3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3020 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & -v2_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]. 43.78/42.63 3021 (all A all B (v1_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & -v2_xreal_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)))) # label(fc27_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3022 (all A (-v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)) & -v2_xreal_0(k5_xcmplx_0(A)))) # label(fc25_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3023 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A))) # label(rc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3024 (all A (v1_xreal_0(A) & -v3_xreal_0(A) -> v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)) & -v3_xreal_0(k5_xcmplx_0(A)))) # label(fc26_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3025 (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]. 43.78/42.63 3026 (all A all B (v3_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> -v2_xreal_0(k6_xcmplx_0(A,B)) & v3_xreal_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)) & -v1_xboole_0(k6_xcmplx_0(A,B)))) # label(fc19_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3027 (all A (v1_xreal_0(A) -> v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)))) # label(fc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3028 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v3_xreal_0(A) -> v1_xcmplx_0(k2_xcmplx_0(B,A)) & -v2_xreal_0(k2_xcmplx_0(B,A)) & v3_xreal_0(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & -v1_xboole_0(k2_xcmplx_0(B,A)))) # label(fc12_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3029 (all A (-v1_xboole_0(A) & -v2_xreal_0(A) & v1_xreal_0(A) -> v3_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc6_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3030 (all A (v1_xreal_0(A) -> v1_xcmplx_0(A))) # label(cc2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3031 $T # label(t31_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3032 $T # label(t1_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3033 (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]. 43.78/42.63 3034 (all A (v1_xreal_0(A) -> k1_int_1(k1_int_1(A)) = k1_int_1(A))) # label(t63_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3035 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> k2_int_1(A) = A))) # label(t54_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3036 (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]. 43.78/42.63 3037 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> np__0 = k4_int_1(A)))) # label(t71_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3038 $T # label(t25_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3039 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_int_1(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)))) # label(fc6_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3040 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(C = k6_xcmplx_0(B,A) & r1_xreal_0(np__1,C)))) & -r1_xreal_0(B,A)))))) # label(t78_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3041 (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]. 43.78/42.63 3042 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_xcmplx_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v1_int_1(k6_xcmplx_0(A,B)))) # label(fc4_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3043 (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]. 43.78/42.63 3044 (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]. 43.78/42.63 3045 (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]. 43.78/42.63 3046 (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]. 43.78/42.63 3047 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> 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(fc9_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3048 (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]. 43.78/42.63 3049 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> ((exists D (k6_xcmplx_0(A,B) = k3_xcmplx_0(C,D) & v1_int_1(D))) <-> r1_int_1(A,B,C)))))))) # label(d3_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3050 $T # label(t3_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3051 $T # label(t49_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3052 (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]. 43.78/42.63 3053 $T # label(t12_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3054 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (B != np__0 -> k6_xcmplx_0(A,k3_xcmplx_0(k5_int_1(A,B),B)) = k6_int_1(A,B)) & (B = np__0 -> np__0 = k6_int_1(A,B)))))) # label(d8_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3055 (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]. 43.78/42.63 3056 (exists A v1_int_1(A)) # label(rc2_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3057 (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]. 43.78/42.63 3058 (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) -> (C = k3_xcmplx_0(A,B) & r1_int_1(D,E,C) -> r1_int_1(D,E,A)))))))))))) # label(t41_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3059 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_xreal_0(k3_xcmplx_0(B,A)) & v1_int_1(k3_xcmplx_0(B,A)) & v1_xcmplx_0(k3_xcmplx_0(B,A)))) # label(fc7_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3060 (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]. 43.78/42.63 3061 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k5_int_1(A,B)))) # label(dt_k5_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3062 (all A (v4_ordinal2(A) -> v1_int_1(A))) # label(cc3_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3063 (all A (v1_xreal_0(A) -> -(v1_int_1(A) & -r1_xreal_0(A,k1_int_1(A))) & -(-v1_int_1(A) & r1_xreal_0(A,k1_int_1(A))))) # label(t48_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3064 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k6_int_1(A,B)))) # label(dt_k6_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3065 (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]. 43.78/42.63 3066 (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]. 43.78/42.63 3067 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> k1_int_1(A) = k2_int_1(A)))) # label(t59_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3068 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_xreal_0(A,B) & r1_xreal_0(A,C) -> r1_xreal_0(k2_xcmplx_0(A,np__1),C) | C = B | r1_xreal_0(k2_xcmplx_0(A,np__1),B)))))))) # label(t45_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3069 (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)) | B = C | r1_xreal_0(C,k6_xcmplx_0(A,np__1))))))))) # label(t44_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.63 3070 (all A (v1_xreal_0(A) -> (v1_int_1(A) -> v1_int_1(k2_xcmplx_0(A,np__1)) & v1_int_1(k6_xcmplx_0(A,np__1))))) # label(t17_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3071 (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]. 43.78/42.64 3072 $T # label(t53_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3073 $T # label(t29_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3074 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> ((exists C (v1_int_1(C) & B = k3_xcmplx_0(A,C))) <-> r2_int_1(A,B)))))) # label(d9_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3075 (all A (v1_int_1(A) -> k6_int_1(A,A) = np__0)) # label(t77_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3076 (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]. 43.78/42.64 3077 $T # label(t73_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3078 (all A ((all B (r2_hidden(B,A) <-> -(all C (m2_subset_1(C,k1_numbers,k5_numbers) -> B != k1_real_1(C) & C != B)))) <-> k4_numbers = A)) # label(d1_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3079 $T # label(t67_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3080 (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]. 43.78/42.64 3081 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (r1_xreal_0(A,B) & -r1_xreal_0(k2_xcmplx_0(A,np__1),B) <-> k2_int_1(A) = B))))) # label(d5_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3082 p1_s4_int_1(f1_s4_int_1) & (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))))) -> (all A (v1_int_1(A) -> p1_s4_int_1(A))) # label(s4_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3083 $T # label(t26_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3084 (all A (v1_xreal_0(A) -> (k1_int_1(A) = A <-> v1_int_1(A)))) # label(t47_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3085 $T # label(t56_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3086 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (k1_real_1(np__1) = B & k1_real_1(np__1) = A | np__1 = B & A = np__1 <-> np__1 = k3_xcmplx_0(A,B)))))) # label(t22_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3087 (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]. 43.78/42.64 3088 $T # label(t4_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3089 $T # label(t5_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3090 $T # label(t9_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3091 $T # label(t13_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3092 (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]. 43.78/42.64 3093 (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]. 43.78/42.64 3094 (all A (m1_subset_1(A,k5_numbers) -> v3_ordinal1(A) & v1_xreal_0(A) & v1_int_1(A) & -v3_xreal_0(A) & v1_xcmplx_0(A) & v4_ordinal2(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc2_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3095 (all A all B (v1_int_1(A) & v1_int_1(B) -> 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]. 43.78/42.64 3096 (all A (v1_int_1(A) -> np__0 = k5_int_1(A,np__0))) # label(t75_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3097 $T # label(t2_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3098 (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) & p1_s5_int_1(A) & (all B (v1_int_1(B) -> (p1_s5_int_1(B) -> r1_xreal_0(A,B)))))) # label(s5_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3099 (all A (v1_xreal_0(A) -> -(-r1_xreal_0(k4_int_1(A),np__0) & v1_int_1(A)) & -(-v1_int_1(A) & r1_xreal_0(k4_int_1(A),np__0)))) # label(t72_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3100 (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]. 43.78/42.64 3101 (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]. 43.78/42.64 3102 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_int_1(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & v1_xcmplx_0(k2_xcmplx_0(A,B)))) # label(fc1_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3103 p1_s2_int_1(f1_s2_int_1) & (all A (v1_int_1(A) -> (r1_xreal_0(f1_s2_int_1,A) & p1_s2_int_1(A) -> p1_s2_int_1(k2_xcmplx_0(A,np__1))))) -> (all A (v1_int_1(A) -> (r1_xreal_0(f1_s2_int_1,A) -> p1_s2_int_1(A)))) # label(s2_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3104 (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]. 43.78/42.64 3105 (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]. 43.78/42.64 3106 $T # label(t10_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3107 (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]. 43.78/42.64 3108 $T # label(t30_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3109 (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]. 43.78/42.64 3110 (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]. 43.78/42.64 3111 $T # label(t24_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3112 (all A (v1_xreal_0(A) -> -r1_xreal_0(A,k6_xcmplx_0(k1_int_1(A),np__1)) & -r1_xreal_0(k2_xcmplx_0(A,np__1),k1_int_1(A)))) # label(t50_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 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]. 43.78/42.64 3114 (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]. 43.78/42.64 3115 $T # label(t11_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3116 (all A (v1_xreal_0(A) -> np__0 = k1_int_1(k4_int_1(A)))) # label(t70_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3117 (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]. 43.78/42.64 3118 $T # label(t46_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3119 (all A (r2_hidden(A,k4_numbers) <-> v1_int_1(A))) # label(d2_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3120 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (k1_int_1(A) = B <-> -r1_xreal_0(B,k6_xcmplx_0(A,np__1)) & r1_xreal_0(B,A)))))) # label(d4_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3121 (all A (v1_int_1(A) -> r1_int_1(A,np__0,A) & r1_int_1(np__0,A,A))) # label(t33_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3122 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (k1_real_1(np__1) = B & A = np__1 | A = k1_real_1(np__1) & B = np__1 <-> k3_xcmplx_0(A,B) = k1_real_1(np__1)))))) # label(t23_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3123 $T # label(dt_k3_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3124 $T # label(t15_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3125 (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]. 43.78/42.64 3126 (all A (v1_xreal_0(A) -> v1_xcmplx_0(k3_int_1(A)) & v1_xreal_0(k3_int_1(A)))) # label(fc10_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3127 (all A (m1_subset_1(A,k4_numbers) -> v1_int_1(A))) # label(cc1_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3128 $T # label(t14_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3129 (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]. 43.78/42.64 3130 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> k1_int_1(k2_xcmplx_0(A,B)) = k2_xcmplx_0(k1_int_1(A),B))))) # label(t51_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3131 (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 (v1_int_1(A) & (all B (v1_int_1(B) -> (p1_s6_int_1(B) -> r1_xreal_0(B,A)))) & p1_s6_int_1(A))) # label(s6_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3132 (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]. 43.78/42.64 3133 (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]. 43.78/42.64 3134 (all A (v1_xreal_0(A) -> (k1_int_1(A) = k2_int_1(A) <-> k2_xcmplx_0(k1_int_1(A),np__1) != k2_int_1(A)))) # label(t66_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3135 (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]. 43.78/42.64 3136 (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]. 43.78/42.64 3137 (all A all B (m1_subset_1(A,k5_numbers) & v1_int_1(B) -> v1_int_1(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & v1_xcmplx_0(k6_xcmplx_0(B,A)))) # label(fc8_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3138 (all A (m1_subset_1(A,k5_numbers) -> -v2_xreal_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc5_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3139 (all A (v1_xreal_0(A) -> k2_int_1(A) = k1_int_1(k2_int_1(A)))) # label(t62_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3140 (all A (v1_xreal_0(A) -> (r1_xreal_0(np__0,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,k1_int_1(A)) & r1_xreal_0(np__0,k2_int_1(A))))) # label(t80_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3141 (all A (v1_xreal_0(A) -> k6_xcmplx_0(A,k1_int_1(A)) = k3_int_1(A))) # label(d6_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3142 (all A (v1_xreal_0(A) -> -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> A != B & A != k1_real_1(B))) & v1_int_1(A)))) # label(t8_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3143 (all A (v1_int_1(A) -> v1_xcmplx_0(A) & v1_xreal_0(A))) # label(cc4_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3144 $T # label(t27_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3145 (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]. 43.78/42.64 3146 $T # label(t28_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3147 (all A (v1_xreal_0(A) -> (np__0 != A -> k1_int_1(k7_xcmplx_0(A,A)) = np__1))) # label(t74_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3148 (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]. 43.78/42.64 3149 (all A (v1_xreal_0(A) -> v1_int_1(k2_int_1(A)))) # label(dt_k2_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3150 (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]. 43.78/42.64 3151 $T # label(t6_int_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3152 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k12_binop_2(A,B),k1_numbers))) # label(dt_k12_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3153 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & m2_relset_1(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_2(B,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) -> ((all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> f2_s2_binop_2(C,D) = k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,B,C,D))))) & (all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> f2_s2_binop_2(C,D) = k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,A,C,D))))) -> A = B))))) # label(s2_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3154 (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]. 43.78/42.64 3155 (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]. 43.78/42.64 3156 (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) -> (k39_binop_2 = 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)))))))) # label(d15_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3157 (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) = k12_binop_2(B,C))))) <-> A = k36_binop_2))) # label(d12_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3158 (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]. 43.78/42.64 3159 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k6_binop_2(A,B),k2_numbers))) # label(dt_k6_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3160 (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) = k5_binop_2(B,C))))) <-> A = k29_binop_2))) # label(d5_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3161 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k7_xcmplx_0(A,B) = k18_binop_2(A,B))) # label(redefinition_k18_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3162 (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))) <-> k37_binop_2 = A))) # label(d13_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3163 (all A (v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> k8_funct_2(k1_numbers,k1_numbers,A,B) = k8_binop_2(B))) <-> A = k32_binop_2))) # label(d8_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3164 (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) -> (A = k34_binop_2 <-> (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) = k10_binop_2(B,C)))))))) # label(d10_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3165 (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]. 43.78/42.64 3166 (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]. 43.78/42.64 3167 (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]. 43.78/42.64 3168 (all A (m1_subset_1(A,k1_numbers) -> k8_binop_2(k8_binop_2(A)) = A)) # label(involutiveness_k8_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3169 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k3_xcmplx_0(A,B) = k11_binop_2(A,B))) # label(redefinition_k11_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3170 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k6_binop_2(A,B) = k7_xcmplx_0(A,B))) # label(redefinition_k6_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3171 (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]. 43.78/42.64 3172 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k6_xcmplx_0(A,B) = k21_binop_2(A,B))) # label(redefinition_k21_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3173 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k2_xcmplx_0(A,B) = k20_binop_2(A,B))) # label(redefinition_k20_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3174 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k3_binop_2(A,B),k2_numbers))) # label(dt_k3_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3175 (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]. 43.78/42.64 3176 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k5_binop_2(B,A) = k5_binop_2(A,B))) # label(commutativity_k5_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3177 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) -> ((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))))) <-> k44_binop_2 = A))) # label(d20_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3178 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> ((all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C) = k3_binop_2(B,C))))) <-> A = k27_binop_2))) # label(d3_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3179 (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]. 43.78/42.64 3180 (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]. 43.78/42.64 3181 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> (A = k28_binop_2 <-> (all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> 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]. 43.78/42.64 3182 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,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]. 43.78/42.64 3183 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k2_xcmplx_0(A,B) = k23_binop_2(A,B))) # label(redefinition_k23_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3184 (all A (v1_funct_1(A) & m2_relset_1(A,f1_s1_binop_2,f2_s1_binop_2) & v1_funct_2(A,f1_s1_binop_2,f2_s1_binop_2) -> (all B (v1_funct_1(B) & m2_relset_1(B,f1_s1_binop_2,f2_s1_binop_2) & v1_funct_2(B,f1_s1_binop_2,f2_s1_binop_2) -> ((all C (m1_subset_1(C,f1_s1_binop_2) -> f3_s1_binop_2(C) = k8_funct_2(f1_s1_binop_2,f2_s1_binop_2,B,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))) -> A = B))))) # label(s1_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3185 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k15_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k15_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3186 (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) -> (k45_binop_2 = A <-> (all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C) = k21_binop_2(B,C)))))))) # label(d21_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3187 (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) -> ((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))))) <-> A = k47_binop_2))) # label(d23_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3188 (all A (m1_subset_1(A,k1_numbers) -> k4_xcmplx_0(A) = k7_binop_2(A))) # label(redefinition_k7_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3189 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> m1_subset_1(k4_binop_2(A,B),k2_numbers))) # label(dt_k4_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3190 (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]. 43.78/42.64 3191 (all A (v1_funct_2(A,k4_numbers,k4_numbers) & m2_relset_1(A,k4_numbers,k4_numbers) & v1_funct_1(A) -> (k43_binop_2 = A <-> (all B (m1_subset_1(B,k4_numbers) -> k8_funct_2(k4_numbers,k4_numbers,A,B) = k19_binop_2(B)))))) # label(d19_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3192 (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]. 43.78/42.64 3193 (all A (v1_funct_1(A) & m2_relset_1(A,k3_numbers,k3_numbers) & v1_funct_2(A,k3_numbers,k3_numbers) -> (A = k38_binop_2 <-> (all B (m1_subset_1(B,k3_numbers) -> k14_binop_2(B) = k8_funct_2(k3_numbers,k3_numbers,A,B)))))) # label(d14_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3194 (all A (m1_subset_1(A,k3_numbers) -> k14_binop_2(A) = k5_xcmplx_0(A))) # label(redefinition_k14_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3195 (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]. 43.78/42.64 3196 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> m1_subset_1(k15_binop_2(A,B),k3_numbers))) # label(dt_k15_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3197 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k23_binop_2(A,B) = k23_binop_2(B,A))) # label(commutativity_k23_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3198 (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]. 43.78/42.64 3199 (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) -> (A = k35_binop_2 <-> (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)))))))) # label(d11_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3200 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k24_binop_2(B,A) = k24_binop_2(A,B))) # label(commutativity_k24_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3201 (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) -> ((all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k18_binop_2(B,C) = k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C))))) <-> A = k42_binop_2))) # label(d18_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3202 (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]. 43.78/42.64 3203 (all A (m2_relset_1(A,k2_numbers,k2_numbers) & v1_funct_2(A,k2_numbers,k2_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> k8_funct_2(k2_numbers,k2_numbers,A,B) = k1_binop_2(B))) <-> A = k25_binop_2))) # label(d1_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3204 (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]. 43.78/42.64 3205 (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]. 43.78/42.64 3206 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k3_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k3_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3207 (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) = k16_binop_2(B,C))))) <-> k40_binop_2 = A))) # label(d16_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3208 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k5_binop_2(A,B),k2_numbers))) # label(dt_k5_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3209 (all A (m1_subset_1(A,k4_numbers) -> k4_xcmplx_0(A) = k19_binop_2(A))) # label(redefinition_k19_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3210 (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) -> 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]. 43.78/42.64 3211 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k22_binop_2(B,A) = k22_binop_2(A,B))) # label(commutativity_k22_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3212 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k17_binop_2(B,A) = k17_binop_2(A,B))) # label(commutativity_k17_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3213 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> m1_subset_1(k20_binop_2(A,B),k4_numbers))) # label(dt_k20_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3214 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k4_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k4_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3215 (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]. 43.78/42.64 3216 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k7_xcmplx_0(A,B) = k12_binop_2(A,B))) # label(redefinition_k12_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3217 (all A (m1_subset_1(A,k3_numbers) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v1_rat_1(A))) # label(cc1_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3218 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k9_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k9_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3219 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k6_xcmplx_0(A,B) = k16_binop_2(A,B))) # label(redefinition_k16_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3220 (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]. 43.78/42.64 3221 (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]. 43.78/42.64 3222 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> m1_subset_1(k18_binop_2(A,B),k3_numbers))) # label(dt_k18_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3223 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k24_binop_2(A,B) = k3_xcmplx_0(A,B))) # label(redefinition_k24_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3224 (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]. 43.78/42.64 3225 (all 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) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k6_binop_2(B,C) = k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C))))) <-> k30_binop_2 = A))) # label(d6_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3226 (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]. 43.78/42.64 3227 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k3_binop_2(B,A) = k3_binop_2(A,B))) # label(commutativity_k3_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3228 (all 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) & v1_funct_1(A) -> (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]. 43.78/42.64 3229 (all A (v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> k7_binop_2(B) = k8_funct_2(k1_numbers,k1_numbers,A,B))) <-> k31_binop_2 = A))) # label(d7_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3230 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k20_binop_2(A,B) = k20_binop_2(B,A))) # label(commutativity_k20_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3231 (all A (m1_subset_1(A,k3_numbers) -> k13_binop_2(k13_binop_2(A)) = A)) # label(involutiveness_k13_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3232 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> m1_subset_1(k21_binop_2(A,B),k4_numbers))) # label(dt_k21_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3233 (all A (v1_funct_1(A) & v1_funct_2(A,k2_numbers,k2_numbers) & m2_relset_1(A,k2_numbers,k2_numbers) -> ((all B (m1_subset_1(B,k2_numbers) -> k8_funct_2(k2_numbers,k2_numbers,A,B) = k2_binop_2(B))) <-> k26_binop_2 = A))) # label(d2_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3234 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k11_binop_2(A,B) = k11_binop_2(B,A))) # label(commutativity_k11_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3235 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k3_xcmplx_0(A,B) = k5_binop_2(A,B))) # label(redefinition_k5_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3236 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k15_binop_2(A,B) = k15_binop_2(B,A))) # label(commutativity_k15_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3237 (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]. 43.78/42.64 3238 (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]. 43.78/42.64 3239 (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]. 43.78/42.64 3240 (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) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k24_binop_2(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C))))) <-> k48_binop_2 = A))) # label(d24_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3241 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> m2_subset_1(k24_binop_2(A,B),k1_numbers,k5_numbers))) # label(dt_k24_binop_2) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3242 (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]. 43.78/42.64 3243 (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]. 43.78/42.64 3244 (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]. 43.78/42.64 3245 (all A all B (v2_membered(B) & r2_hidden(B,A) -> v2_membered(k1_setfam_1(A)))) # label(t27_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3246 (all A (-v1_xboole_0(A) & v4_membered(A) -> (exists B (v1_int_1(B) & r2_hidden(B,A))))) # label(t9_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3247 (all A (v3_membered(A) -> (all B (v3_membered(B) -> ((all C (v1_rat_1(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B)))) <-> B = A))))) # label(d13_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3248 (all A (v2_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3249 (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]. 43.78/42.64 3250 (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]. 43.78/42.64 3251 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3252 (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]. 43.78/42.64 3253 (all A ((all B (r2_hidden(B,A) -> v1_rat_1(B))) <-> v3_membered(A))) # label(d3_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3254 (exists A ((all B (v1_int_1(B) -> (p1_s4_membered(B) <-> r2_hidden(B,A)))) & v4_membered(A))) # label(s4_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3255 (all A all B all C (v1_xcmplx_0(B) & v1_xcmplx_0(C) & v1_xcmplx_0(A) -> v1_membered(k1_enumset1(A,B,C)))) # label(fc17_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3256 (all A all B (v1_membered(B) & v1_membered(A) -> v1_membered(k5_xboole_0(A,B)))) # label(fc42_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3257 (all A (v4_membered(A) -> r1_tarski(A,k4_numbers))) # label(t4_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3258 (all A all B (r2_hidden(B,A) & v3_membered(B) -> v3_membered(k1_setfam_1(A)))) # label(t28_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3259 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3260 (all A (v2_membered(A) -> (all B (v2_membered(B) -> (A = B <-> (all C (v1_xreal_0(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d12_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3261 (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]. 43.78/42.64 3262 (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]. 43.78/42.64 3263 (all A (v4_membered(A) <-> (all B (r2_hidden(B,A) -> v1_int_1(B))))) # label(d4_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3264 (all A all B all C (v1_xreal_0(A) & v1_xreal_0(B) & v1_xreal_0(C) -> v1_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)))) # label(fc18_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3265 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_rat_1(C) -> -(r2_hidden(C,B) & r2_hidden(C,A))))))))) # label(d18_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3266 (all A all B (v4_membered(A) & v4_membered(B) -> v1_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)))) # label(fc45_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 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]. 43.78/42.64 3268 (all A all B (r2_hidden(B,A) & v1_membered(B) -> v1_membered(k1_setfam_1(A)))) # label(t26_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3269 (all A all B (v4_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)) & v4_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)))) # label(fc34_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3270 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc9_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3271 (all A (m1_subset_1(A,k1_zfmisc_1(k4_numbers)) -> v2_membered(A) & v3_membered(A) & v4_membered(A) & v1_membered(A))) # label(cc8_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3272 (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]. 43.78/42.64 3273 (all A all B (v2_membered(A) & v2_membered(B) -> v1_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)))) # label(fc23_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3274 (all A (v5_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_rat_1(B) & v1_int_1(B) & v4_ordinal2(B) & v1_xcmplx_0(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3275 (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]. 43.78/42.64 3276 (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]. 43.78/42.64 3277 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3278 (all A (v1_xboole_0(A) -> v1_membered(A) & v2_membered(A) & v5_membered(A) & v4_membered(A) & v3_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3279 (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]. 43.78/42.64 3280 (exists A (v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v1_membered(A) & -v1_xboole_0(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3281 (all A all B (v1_int_1(A) & v1_int_1(B) -> v3_membered(k2_tarski(A,B)) & v4_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc15_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3282 (all A all B (v4_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc40_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3283 (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]. 43.78/42.64 3284 (all A (m1_subset_1(A,k1_zfmisc_1(k2_numbers)) -> v1_membered(A))) # label(cc5_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3285 (all A all B (v1_membered(B) -> (r1_tarski(A,B) -> v1_membered(A)))) # label(t16_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3286 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (r1_tarski(A,B) <-> (all C (v1_rat_1(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d8_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3287 (all A all B all C (v4_ordinal2(A) & v4_ordinal2(B) & v4_ordinal2(C) -> v1_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)) & v5_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)))) # label(fc21_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3288 (all A all B (v2_membered(B) -> (r1_tarski(A,B) -> v2_membered(A)))) # label(t17_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3289 (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]. 43.78/42.64 3290 (all A all B (v5_membered(B) & v5_membered(A) -> v1_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)) & v5_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)))) # label(fc46_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3291 (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]. 43.78/42.64 3292 (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]. 43.78/42.64 3293 (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]. 43.78/42.64 3294 (all A all B (v3_membered(B) & v3_membered(A) -> v3_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc24_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3295 (all A (v2_membered(A) -> r1_tarski(A,k1_numbers))) # label(t2_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3296 (all A (v5_membered(A) -> ((all B (v4_ordinal2(B) -> r2_hidden(B,A))) -> A = k5_numbers))) # label(t15_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3297 (all A (v3_membered(A) -> r1_tarski(A,k3_numbers))) # label(t3_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3298 (exists A ((all B (v4_ordinal2(B) -> (r2_hidden(B,A) <-> p1_s5_membered(B)))) & v5_membered(A))) # label(s5_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3299 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3300 (exists A (v1_membered(A) & (all B (v1_xcmplx_0(B) -> (r2_hidden(B,A) <-> p1_s1_membered(B)))))) # label(s1_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3301 (all A all B (v1_rat_1(A) & v1_rat_1(B) -> v3_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc14_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3302 (all A (v3_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_rat_1(B) & v1_xcmplx_0(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3303 (all A all B (v3_membered(A) -> v1_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)))) # label(fc39_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3304 (exists A (v3_membered(A) & (all B (v1_rat_1(B) -> (p1_s3_membered(B) <-> r2_hidden(B,A)))))) # label(s3_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3305 (all A (v4_ordinal2(A) -> v2_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)) & v5_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc11_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3306 (all A all B (v5_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v5_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3307 (all A (v5_membered(A) -> r1_tarski(A,k5_numbers))) # label(t5_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3308 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> v2_membered(A) & v1_membered(A))) # label(cc6_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3309 (all A all B (v5_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v5_membered(k3_xboole_0(B,A)) & v4_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)))) # label(fc36_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3310 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3311 (all A (v4_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_rat_1(B) & v1_int_1(B) & v1_xreal_0(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3312 (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]. 43.78/42.64 3313 (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]. 43.78/42.64 3314 (all A (v4_membered(A) -> (all B (v4_membered(B) -> (r1_tarski(A,B) <-> (all C (v1_int_1(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d9_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3315 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d6_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3316 (all A all B (v4_membered(A) & v4_membered(B) -> v3_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc25_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3317 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v4_ordinal2(C) -> -(r2_hidden(C,A) & r2_hidden(C,B))))))))) # label(d20_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3318 (all A ((all B (r2_hidden(B,A) -> v1_xreal_0(B))) <-> v2_membered(A))) # label(d2_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3319 (all A all B all C (v1_int_1(A) & v1_int_1(C) & v1_int_1(B) -> v1_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)))) # label(fc20_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3320 (all A all B (v2_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc38_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3321 (all A ((all B (r2_hidden(B,A) -> v4_ordinal2(B))) <-> v5_membered(A))) # label(d5_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3322 (all A (v3_membered(A) & -v1_xboole_0(A) -> (exists B (r2_hidden(B,A) & v1_rat_1(B))))) # label(t8_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3323 (all A all B (v2_membered(A) & v2_membered(B) -> v1_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)))) # label(fc43_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3324 (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]. 43.78/42.64 3325 (all A (v1_membered(A) -> (all B (v1_membered(B) -> (B = A <-> (all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d11_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3326 (all A all B (v5_membered(A) & v5_membered(B) -> v4_membered(k2_xboole_0(A,B)) & v5_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc26_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3327 (all A all B (v1_membered(A) -> v1_membered(k4_xboole_0(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3328 (all A (v1_rat_1(A) -> v1_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)))) # label(fc9_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3329 (all A (v1_xreal_0(A) -> v1_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)))) # label(fc8_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3330 (all A (-v1_xboole_0(A) & v1_membered(A) -> (exists B (r2_hidden(B,A) & v1_xcmplx_0(B))))) # label(t6_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3331 (all A (v4_membered(A) -> (all B (v4_membered(B) -> (B = A <-> (all C (v1_int_1(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d14_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3332 (all A all B (v5_membered(B) -> (r1_tarski(A,B) -> v5_membered(A)))) # label(t20_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3333 (all A all B (v3_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)))) # label(fc32_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3334 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)))) # label(fc13_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3335 (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]. 43.78/42.64 3336 (all A all B (v3_membered(B) -> (r1_tarski(A,B) -> v3_membered(A)))) # label(t18_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3337 (all A all B (v4_membered(B) -> (r1_tarski(A,B) -> v4_membered(A)))) # label(t19_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3338 (all A all B (v4_membered(A) -> v3_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)) & v1_membered(k3_xboole_0(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.64 3339 (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]. 43.78/42.64 3340 (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]. 43.78/42.65 3341 (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]. 43.78/42.65 3342 (all A (v4_membered(A) -> (all B (v4_membered(B) -> ((all C (v1_int_1(C) -> -(r2_hidden(C,B) & r2_hidden(C,A)))) <-> r1_xboole_0(A,B)))))) # label(d19_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3343 (all A (v1_int_1(A) -> v2_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc10_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3344 (all A all B (v4_ordinal2(B) & v4_ordinal2(A) -> v4_membered(k2_tarski(A,B)) & v5_membered(k2_tarski(A,B)) & v3_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc16_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3345 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (A = B <-> (all C (v4_ordinal2(C) -> (r2_hidden(C,A) <-> r2_hidden(C,B))))))))) # label(d15_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3346 (all A (v3_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3347 (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]. 43.78/42.65 3348 (all A all B (v2_membered(A) -> v2_membered(k3_xboole_0(B,A)) & v1_membered(k3_xboole_0(B,A)))) # label(fc30_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3349 (all A (v2_membered(A) -> (all B (v2_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_xreal_0(C) -> -(r2_hidden(C,A) & r2_hidden(C,B))))))))) # label(d17_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3350 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3351 (all A (v1_xcmplx_0(A) -> v1_membered(k1_tarski(A)))) # label(fc7_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3352 (all A (v1_membered(A) -> r1_tarski(A,k2_numbers))) # label(t1_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3353 (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]. 43.78/42.65 3354 (all A (m1_subset_1(A,k1_zfmisc_1(k3_numbers)) -> v1_membered(A) & v2_membered(A) & v3_membered(A))) # label(cc7_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3355 (all A all B (v5_membered(A) -> v3_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v5_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3356 (all A (v5_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v2_membered(B) & v5_membered(B) & v4_membered(B) & v3_membered(B) & v1_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3357 (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]. 43.78/42.65 3358 (all A ((all B (r2_hidden(B,A) -> v1_xcmplx_0(B))) <-> v1_membered(A))) # label(d1_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3359 (all A (-v1_xboole_0(A) & v2_membered(A) -> (exists B (v1_xreal_0(B) & r2_hidden(B,A))))) # label(t7_membered) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3360 (all A (v3_ordinal1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t36_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3361 (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]. 43.78/42.65 3362 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (-r1_xreal_0(B,A) <-> r2_hidden(k1_card_1(A),k1_card_1(B))))))) # label(t73_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3363 (all A (v3_ordinal1(A) -> k3_card_1(k1_ordinal1(A)) = k2_card_1(k3_card_1(A)))) # label(t39_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3364 $T # label(t2_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3365 (all A (m1_subset_1(A,k5_numbers) -> v1_ordinal1(A) & v3_ordinal1(A) & v4_ordinal2(A) & v1_xreal_0(A) & v1_card_1(A) & -v3_xreal_0(A) & v1_xcmplx_0(A) & v2_ordinal1(A))) # label(cc2_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3366 (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]. 43.78/42.65 3367 (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]. 43.78/42.65 3368 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & k1_relat_1(C) = k1_ordinal1(A) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> 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_funct_1(C,k1_xboole_0) = k1_card_1(k5_numbers) & B = k1_ordinal2(C) & v5_ordinal1(C))) <-> B = k3_card_1(A))))) # label(d8_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3369 (all A exists B (r2_wellord2(A,B) & v3_ordinal1(B))) # label(t4_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3370 (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]. 43.78/42.65 3371 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(k3_card_1(A),k3_card_1(B)) <-> r2_hidden(A,B)))))) # label(t41_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3372 (all A (v1_card_1(A) -> ((all B (v1_card_1(B) -> k2_card_1(B) != A)) <-> v2_card_1(A)))) # label(d7_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3373 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_ordinal1(A) = k1_nat_1(A,np__1))) # label(t52_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3374 $T # label(t57_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3375 (all A r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A))) # label(t33_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3376 $T # label(dt_k3_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3377 (all A all B (k1_card_1(A) = k1_card_1(B) -> k2_card_1(B) = k2_card_1(A))) # label(t34_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3378 (all A all B (r1_tarski(k1_zfmisc_1(A),B) -> -r2_wellord2(A,B) & r2_hidden(k1_card_1(A),k1_card_1(B)))) # label(t45_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3379 (all A (v1_card_1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t32_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3380 $T # label(t18_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3381 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_wellord2(A,B) -> A = B))))) # label(t64_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3382 $T # label(t7_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3383 (all A all B (r1_tarski(k1_card_1(A),k1_card_1(B)) <-> (exists C (r1_tarski(A,k2_relat_1(C)) & B = k1_relat_1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(t28_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3384 (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]. 43.78/42.65 3385 (all A all B all C all D (r2_hidden(D,B) & r2_hidden(C,A) & 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]. 43.78/42.65 3386 $T # label(t67_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3387 (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]. 43.78/42.65 3388 (all A (v1_card_1(A) -> v1_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(cc1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3389 $T # label(t11_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3390 $T # label(t6_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3391 $T # label(t1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3392 (exists A v1_card_1(A)) # label(rc1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3393 $T # label(t53_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3394 $T # label(t77_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3395 (all A (m1_subset_1(A,k5_numbers) -> v2_ordinal1(A) & v1_xreal_0(A) & -v3_xreal_0(A) & v1_card_1(A) & v1_finset_1(A) & v1_xcmplx_0(A) & v4_ordinal2(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc3_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3396 (all A (v3_ordinal1(A) -> v2_ordinal1(k3_card_1(A)) & v1_card_1(k3_card_1(A)) & v3_ordinal1(k3_card_1(A)) & v1_ordinal1(k3_card_1(A)))) # label(fc1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3397 (all A (v1_finset_1(A) & v1_card_1(A) -> (exists B (k1_card_1(B) = A & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(t86_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3398 (exists A (v1_finset_1(A) & v1_card_1(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(rc2_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3399 $T # label(d3_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3400 (all A (r2_hidden(A,k5_ordinal2) -> v1_card_1(A))) # label(t65_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3401 $T # label(t9_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3402 (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]. 43.78/42.65 3403 (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]. 43.78/42.65 3404 (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]. 43.78/42.65 3405 (all A k4_card_1(k1_tarski(A)) = np__1) # label(t79_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3406 (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]. 43.78/42.65 3407 $T # label(t62_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3408 $T # label(t63_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3409 (all A (v1_card_1(A) -> ((all B (v1_card_1(B) -> (r2_hidden(B,A) -> p1_s1_card_1(B)))) & v2_card_1(A) -> k1_xboole_0 = A | p1_s1_card_1(A)))) & (all A (v1_card_1(A) -> (p1_s1_card_1(A) -> p1_s1_card_1(k2_card_1(A))))) & p1_s1_card_1(k1_xboole_0) -> (all A (v1_card_1(A) -> p1_s1_card_1(A))) # label(s1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3410 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> A = k1_card_1(A))) # label(t66_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3411 $T # label(t20_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3412 (all A v1_card_1(k2_card_1(A))) # label(dt_k2_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3413 (all A all B all C (r1_tarski(A,B) & r2_wellord2(A,C) & r1_tarski(B,C) -> r2_wellord2(A,B) & r2_wellord2(B,C))) # label(t44_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3414 (all A (v3_ordinal1(A) -> r1_ordinal1(k1_card_1(A),A))) # label(t24_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3415 $T # label(t31_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3416 $T # label(t10_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3417 (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]. 43.78/42.65 3418 (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]. 43.78/42.65 3419 $T # label(t37_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3420 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (A = B <-> r2_wellord2(A,B)))))) # label(t8_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3421 $T # label(d10_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3422 (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]. 43.78/42.65 3423 $T # label(t75_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3424 (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) -> k1_funct_1(B,C) = k3_card_1(C)))) & A = k1_relat_1(B) -> k3_card_1(A) = k1_card_1(k8_ordinal2(B)))))))) # label(t40_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3425 (all A (v1_finset_1(A) -> v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)) & v2_ordinal1(k1_card_1(A)) & v1_ordinal1(k1_card_1(A)))) # label(fc2_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3426 (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]. 43.78/42.65 3427 (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]. 43.78/42.65 3428 (all A all B all C (r2_hidden(A,B) & r2_hidden(C,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]. 43.78/42.65 3429 (all A (v1_finset_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k4_card_1(A) = B <-> k1_card_1(A) = k1_card_1(B)))))) # label(d11_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3430 $T # label(t3_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3431 (all A (v1_finset_1(A) -> v1_finset_1(k2_card_1(A)))) # label(t82_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3432 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k3_card_1(A) = k3_card_1(B) -> A = B))))) # label(t42_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3433 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(A,B) <-> -r1_tarski(B,A)))))) # label(t14_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3434 (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]. 43.78/42.65 3435 $T # label(t17_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3436 (all A all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) & r1_tarski(k2_relat_1(C),B) & A = k1_relat_1(C))) <-> r1_tarski(k1_card_1(A),k1_card_1(B)))) # label(t26_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3437 $T # label(t12_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3438 (all A (v1_card_1(A) <-> (exists B ((all C (v3_ordinal1(C) -> (r2_wellord2(C,B) -> r1_ordinal1(B,C)))) & B = A & v3_ordinal1(B))))) # label(d1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3439 (all A k1_card_1(k1_tarski(A)) = k4_ordinal2) # label(t50_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3440 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_tarski(k1_card_1(A),k1_card_1(B)) <-> r1_xreal_0(A,B)))))) # label(t72_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3441 $T # label(d9_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3442 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) & r1_tarski(A,k1_relat_1(B)) -> r2_wellord2(A,k9_relat_1(B,A))))) # label(t60_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3443 (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]. 43.78/42.65 3444 (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]. 43.78/42.65 3445 (all A v1_card_1(k1_card_1(A))) # label(dt_k1_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3446 (all A -r2_wellord2(A,k1_zfmisc_1(A))) # label(t29_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3447 $T # label(t16_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3448 $T # label(t5_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3449 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r1_tarski(A,B) & B != A <-> r2_hidden(A,B)))))) # label(t13_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3450 $T # label(t54_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3451 $T # label(t19_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3452 $T # label(d2_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3453 (all A all B (r2_wellord2(A,k1_tarski(B)) <-> (exists C k1_tarski(C) = A))) # label(t48_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3454 $T # label(t70_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3455 (all A all B all C all D (r1_xboole_0(A,B) & r1_xboole_0(C,D) & r2_wellord2(B,D) & r2_wellord2(A,C) -> r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D)))) # label(t58_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3456 $T # label(t55_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3457 (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]. 43.78/42.65 3458 (all A (r2_wellord2(A,k1_xboole_0) <-> k1_xboole_0 = A)) # label(t46_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3459 $T # label(d4_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3460 (all A all B (r2_wellord2(A,B) -> k2_card_1(A) = k2_card_1(B))) # label(t35_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3461 (all A all B (k1_card_1(k1_tarski(B)) = k1_card_1(A) <-> (exists C A = k1_tarski(C)))) # label(t49_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3462 $T # label(t15_card_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3463 (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]. 43.78/42.65 3464 (all A all B all C all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funct_1(D) -> (np__3 = k3_finseq_1(D) & B = k1_funct_1(D,np__2) & k1_funct_1(D,np__3) = C & A = k1_funct_1(D,np__1) <-> D = k11_finseq_1(A,B,C)))) # label(t62_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3465 (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]. 43.78/42.65 3466 (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) -> (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]. 43.78/42.65 3467 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & -v1_xboole_0(B) & v1_finseq_1(A) & v1_funct_1(A) -> -v1_xboole_0(k7_finseq_1(A,B)) & v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)))) # label(fc13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3468 (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)) -> B = A))))) # label(t74_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3469 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k5_finseq_1(B) = k12_finseq_1(A,B))) # label(redefinition_k12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3470 (all A -v1_xboole_0(k13_finseq_1(A))) # label(fc9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3471 (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 k7_finseq_1(B,k9_finseq_1(C)) != A))) & A != k1_xboole_0))) # label(t63_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3472 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -((all B (m1_subset_1(B,f1_s5_finseq_1) -> -p1_s5_finseq_1(A,B))) & r2_hidden(A,k2_finseq_1(f2_s5_finseq_1))))) -> (exists A (k2_finseq_1(f2_s5_finseq_1) = k4_finseq_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f2_s5_finseq_1)) -> p1_s5_finseq_1(B,k1_funct_1(A,B))))) & m2_finseq_1(A,f1_s5_finseq_1))) # label(s5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3473 $T # label(t1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3474 (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]. 43.78/42.65 3475 (all A k5_finseq_1(A) = k1_tarski(k4_tarski(np__1,A))) # label(d5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3476 (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]. 43.78/42.65 3477 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(B)) -> C = k3_finseq_1(k16_finseq_1(A,B,C))))))) # label(t80_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3478 (all A all B all C (k7_finseq_1(k9_finseq_1(A),k10_finseq_1(B,C)) = k11_finseq_1(A,B,C) & k7_finseq_1(k10_finseq_1(A,B),k9_finseq_1(C)) = k11_finseq_1(A,B,C))) # label(t60_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3479 (all A (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) -> v1_finset_1(k1_relat_1(A)))) # label(fc17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3480 (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]. 43.78/42.65 3481 (exists A all B ((exists C (v1_relat_1(C) & v1_finseq_1(C) & r2_hidden(C,k13_finseq_1(f1_s4_finseq_1)) & B = C & p1_s4_finseq_1(C) & v1_funct_1(C))) <-> r2_hidden(B,A))) # label(s4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3482 (all A all B (v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(A) -> v1_finset_1(k10_relat_1(A,B)))) # label(fc18_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3483 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k7_relat_1(k7_finseq_1(A,B),k4_finseq_1(A)) = A)))) # label(t33_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3484 $T # label(t22_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3485 (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]. 43.78/42.65 3486 (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) -> (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]. 43.78/42.65 3487 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_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]. 43.78/42.65 3488 (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]. 43.78/42.65 3489 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k7_relat_1(B,k2_finseq_1(A))) & v1_finseq_1(k7_relat_1(B,k2_finseq_1(A))) & v1_funct_1(k7_relat_1(B,k2_finseq_1(A))))))) # label(t19_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3490 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(B) = k2_finseq_1(A) -> B = A))))) # label(t8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3491 (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 (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]. 43.78/42.65 3492 (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) -> k2_xboole_0(k2_relat_1(A),k2_relat_1(B)) = k2_relat_1(k7_finseq_1(A,B)))))) # label(t44_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3493 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (k4_finseq_1(A) = k1_xboole_0 <-> k1_xboole_0 = A))) # label(t26_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3494 (exists A ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s2_finseq_1)) -> k1_funct_1(A,B) = f2_s2_finseq_1(B)))) & f1_s2_finseq_1 = k3_finseq_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(s2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3495 (all A r2_hidden(k1_xboole_0,k13_finseq_1(A))) # label(t66_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3496 (all A exists B m2_finseq_1(B,A)) # label(existence_m2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3497 (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))))))) & p1_s3_finseq_1(k1_xboole_0) -> (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> p1_s3_finseq_1(A))) # label(s3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3498 (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]. 43.78/42.65 3499 (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]. 43.78/42.65 3500 (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]. 43.78/42.65 3501 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C))) -> r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,C))) & r2_hidden(B,k2_finseq_1(A)) | r1_xreal_0(B,np__0)))))))) # label(t82_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3502 (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]. 43.78/42.65 3503 $T # label(t49_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3504 $T # label(dt_k5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3505 $T # label(t67_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3506 (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) -> (k2_relat_1(B) = k2_relat_1(A) & v2_funct_1(B) & v2_funct_1(A) -> k3_finseq_1(A) = k3_finseq_1(B)))))) # label(t65_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3507 (all A m2_finseq_1(k14_finseq_1(A),k5_numbers)) # label(dt_k14_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3508 (all A all B (m1_finseq_1(B,A) -> v1_xboole_0(k16_finseq_1(A,B,np__0)) & v1_relat_1(k16_finseq_1(A,B,np__0)) & 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)))) # label(fc15_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3509 (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]. 43.78/42.65 3510 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k6_finseq_1(B) = A <-> np__0 = k3_finseq_1(A))))) # label(t32_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3511 (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]. 43.78/42.65 3512 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (exists C (k3_finseq_1(C) = A & m2_finseq_1(C,B))))))) # label(t24_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3513 (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 (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) -> B = A))))) # label(t17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3514 (all A all B all C (v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)))) # label(fc6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3515 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_finseq_1(A) -> v1_finseq_1(k15_finseq_1(A)) & v1_finset_1(k15_finseq_1(A)) & v1_funct_1(k15_finseq_1(A)) & v1_relat_1(k15_finseq_1(A)))) # label(fc10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3516 (all A (-v1_xboole_0(k13_finseq_1(A)) & v1_fraenkel(k13_finseq_1(A)))) # label(fc16_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3517 $T # label(t28_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3518 (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]. 43.78/42.65 3519 $T # label(t13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3520 (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 (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(k7_finseq_1(A,B))) -> r1_xreal_0(C,k3_finseq_1(A)) | k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A))) = k1_funct_1(k7_finseq_1(A,B),C)))))))) # label(t37_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3521 (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]. 43.78/42.65 3522 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (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(k7_finseq_1(A,B),k1_nat_1(k3_finseq_1(A),C)) = k1_funct_1(B,C)))))))) # label(t86_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3523 $T # label(t34_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3524 (all A k1_tarski(k4_tarski(np__1,A)) = k9_finseq_1(A)) # label(t52_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3525 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & r1_tarski(k1_relat_1(A),k2_finseq_1(B)))) <-> v2_finseq_1(A)))) # label(d12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3526 (all A (v4_ordinal2(A) -> v1_finset_1(k1_finseq_1(A)))) # label(fc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3527 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (C = k7_relat_1(B,k2_finseq_1(A)) & 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]. 43.78/42.65 3528 (all A exists B (v1_xboole_0(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_finset_1(B) & v2_funct_1(B) & v1_relat_1(B) & m1_finseq_1(B,A))) # label(rc4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3529 (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) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(B,A))))))) # label(t43_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3530 (all A (v1_funct_1(A) & v2_finseq_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]. 43.78/42.65 3531 (all A (v4_ordinal2(A) -> k4_card_1(k2_finseq_1(A)) = A)) # label(t78_finseq_1_AndLHS) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3532 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k4_card_1(A) = A & k4_card_1(k1_card_1(A)) = A)) # label(t78_finseq_1_AndRHS) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3533 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(B) = k2_finseq_1(np__1) & A = k1_funct_1(B,np__1) <-> k9_finseq_1(A) = B))) # label(d8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3534 (all A -(v1_finset_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -r2_wellord2(A,k2_finseq_1(B)))))) # label(t77_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3535 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (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]. 43.78/42.65 3536 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> k7_finseq_1(A,k1_xboole_0) = A & k7_finseq_1(k1_xboole_0,A) = A)) # label(t47_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3537 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (np__1 = k3_finseq_1(B) & A = k1_funct_1(B,np__1) <-> B = k9_finseq_1(A)))) # label(t57_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3538 (exists A (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) & -v1_xboole_0(A))) # label(rc7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3539 $T # label(t53_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3540 (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]. 43.78/42.65 3541 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k4_finseq_1(A),k4_finseq_1(k7_finseq_1(A,B))))))) # label(t39_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3542 $T # label(dt_k11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3543 (all A all B all C (m1_finseq_1(B,A) & m1_finseq_1(C,A) -> m2_finseq_1(k8_finseq_1(A,B,C),A))) # label(dt_k8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3544 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_card_1(k2_finseq_1(A)) = k1_card_1(A))) # label(t76_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3545 (all A (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3546 $T # label(t54_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3547 (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) -> (k4_finseq_1(C) = k2_finseq_1(k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) & (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)))) <-> C = k7_finseq_1(A,B)))))))) # label(d7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3548 (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 (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funct_1(D) -> -(r1_xreal_0(k3_finseq_1(A),k3_finseq_1(C)) & (all E (v1_finseq_1(E) & v1_funct_1(E) & v1_relat_1(E) -> k7_finseq_1(A,E) != C)) & k7_finseq_1(C,D) = k7_finseq_1(A,B)))))))))) # label(t64_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3549 (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]. 43.78/42.65 3550 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (B = k17_finseq_1(A) <-> (all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(C,k3_relat_1(A)) & (exists E (v1_relat_1(E) & v1_funct_1(E) & r1_xreal_0(np__1,k3_finseq_1(E)) & k1_funct_1(E,np__1) = C & k1_funct_1(E,k3_finseq_1(E)) = D & (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))) & r2_hidden(D,k3_relat_1(A))))))))) # label(d16_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3551 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> -(r2_hidden(A,B) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(k4_tarski(C,k1_funct_1(B,C)) = A & r2_hidden(C,k4_finseq_1(B)))))))) # label(t16_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3552 (all A all B (v4_ordinal2(B) -> (r2_hidden(A,a_1_0_finseq_1(B)) <-> (exists C (r1_xreal_0(C,B) & r1_xreal_0(np__1,C) & A = C & m2_subset_1(C,k1_numbers,k5_numbers)))))) # label(fraenkel_a_1_0_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3553 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & -v1_xboole_0(B) -> -v1_xboole_0(k7_finseq_1(B,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)))) # label(fc14_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3554 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(np__1,A) & r1_xreal_0(A,B) <-> r2_hidden(A,k2_finseq_1(B))))))) # label(t3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3555 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A))) # label(rc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3556 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> -((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]. 43.78/42.65 3557 (exists A (-v1_xboole_0(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3558 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k4_finseq_1(A) = k1_relat_1(A))) # label(redefinition_k4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3559 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v1_xboole_0(A))) # label(rc3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3560 (all A k6_finseq_1(A) = k1_xboole_0) # label(d6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.65 3561 (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 (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(B,C)))) & k3_finseq_1(A) = k3_finseq_1(B) -> A = B))))) # label(t18_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3562 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k5_numbers)))) # label(dt_k4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3563 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(A,B))))))) # label(t42_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3564 (all A all B all C (v1_funct_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)) & v1_finset_1(k11_finseq_1(A,B,C)) & v1_relat_1(k11_finseq_1(A,B,C)))) # label(fc8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3565 (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))))) & (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C (r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) & p1_s1_finseq_1(A,C) & p1_s1_finseq_1(A,B) -> C = B)))) -> (exists A (v1_relat_1(A) & v1_finseq_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s1_finseq_1)) -> p1_s1_finseq_1(B,k1_funct_1(A,B))))) & k4_finseq_1(A) = k2_finseq_1(f1_s1_finseq_1) & v1_funct_1(A))) # label(s1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3566 (all A (v1_finset_1(A) & v1_relat_1(A) -> v1_finset_1(k2_relat_1(A)))) # label(fc11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3567 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> k7_finseq_1(k7_finseq_1(A,B),C) = k7_finseq_1(A,k7_finseq_1(B,C)))))))) # label(t45_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3568 (all A (v1_relat_1(A) -> v1_relat_1(k17_finseq_1(A)))) # label(dt_k17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3569 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (m1_finseq_1(B,A) <-> r1_tarski(k2_relat_1(B),A)))) # label(d4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3570 (all A all B all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (A = k1_funct_1(C,np__1) & k1_funct_1(C,np__2) = B & k3_finseq_1(C) = np__2 <-> k10_finseq_1(A,B) = C))) # label(t61_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3571 (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) -> (k1_xboole_0 = k7_finseq_1(A,B) -> A = k1_xboole_0 & B = k1_xboole_0))))) # label(t48_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3572 (all A m2_finseq_1(k1_xboole_0,A)) # label(t29_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3573 (all A (v1_xboole_0(k6_finseq_1(A)) & m2_finseq_1(k6_finseq_1(A),A))) # label(dt_k6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3574 (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]. 43.78/42.66 3575 $T # label(t2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3576 (all A (v4_ordinal2(A) -> r2_hidden(A,k2_finseq_1(A)) | np__0 = A)) # label(t5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3577 (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) -> (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]. 43.78/42.66 3578 (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) -> 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]. 43.78/42.66 3579 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_relat_1(A) = k2_finseq_1(B) <-> B = k3_finseq_1(A)))))) # label(d3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3580 (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 (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (k7_finseq_1(B,A) = k7_finseq_1(B,C) | k7_finseq_1(C,B) = k7_finseq_1(A,B) -> C = A))))))) # label(t46_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3581 (all A (v1_finset_1(A) <-> (exists B (v1_funct_1(B) & A = k2_relat_1(B) & v1_finseq_1(B) & v1_relat_1(B))))) # label(t73_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3582 (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]. 43.78/42.66 3583 (exists A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_1(A))) # label(rc5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3584 (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) & k2_finseq_1(np__1) = k4_finseq_1(B)))) # label(t55_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3585 (all A exists B (m1_relset_1(B,k5_numbers,A) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v1_relat_1(B))) # label(rc2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3586 $T # label(t30_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3587 (all A k9_finseq_1(A) = k5_finseq_1(A)) # label(redefinition_k9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3588 (all A (v1_relat_1(A) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k2_finseq_1(B) = k1_relat_1(A))) <-> v1_finseq_1(A)))) # label(d2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3589 (all A (v1_funct_1(A) & v1_relat_1(A) -> -((all B (v1_funct_1(B) & v1_finseq_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]. 43.78/42.66 3590 (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]. 43.78/42.66 3591 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> v2_finseq_1(k8_relat_1(A,B)) & v1_funct_1(k8_relat_1(A,B)) & v1_relat_1(k8_relat_1(A,B)) & v2_finseq_1(k7_relat_1(B,A)) & 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]. 43.78/42.66 3592 (all A all B (m1_finseq_1(B,A) -> v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B))) # label(dt_m1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3593 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (k1_xboole_0 = k2_relat_1(A) <-> A = k1_xboole_0))) # label(t27_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3594 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> A = k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),np__1))) # label(t58_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3595 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> k1_card_1(A) = k3_finseq_1(A))) # label(redefinition_k3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3596 (all A all B all C (m1_finseq_1(B,A) & m1_finseq_1(C,A) -> k7_finseq_1(B,C) = k8_finseq_1(A,B,C))) # label(redefinition_k8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3597 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (r1_tarski(k2_relat_1(B),k1_relat_1(A)) -> v1_funct_1(k5_relat_1(B,A)) & v1_finseq_1(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A))))))) # label(t20_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3598 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (k3_finseq_1(A) = np__0 <-> A = k1_xboole_0))) # label(t25_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3599 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k5_subset_1(k5_numbers,k2_finseq_1(A),k2_finseq_1(B)) = k2_finseq_1(A) -> r1_xreal_0(A,B)))))) # label(t10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3600 (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]. 43.78/42.66 3601 (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]. 43.78/42.66 3602 (all A (v4_ordinal2(A) -> a_1_0_finseq_1(A) = k1_finseq_1(A))) # label(d1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3603 (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]. 43.78/42.66 3604 (all A all B (v1_relat_1(k10_finseq_1(A,B)) & v1_finset_1(k10_finseq_1(A,B)) & v1_finseq_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)))) # label(fc7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3605 $T # label(t31_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3606 $T # label(dt_k10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3607 (all A exists B m1_finseq_1(B,A)) # label(existence_m1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3608 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (B = k9_finseq_1(A) <-> np__1 = k3_finseq_1(B) & k1_tarski(A) = k2_relat_1(B)))) # label(t56_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3609 $T # label(dt_k13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3610 (all A (v4_ordinal2(A) -> k1_finseq_1(A) = k2_finseq_1(A))) # label(redefinition_k2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3611 (all A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_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]. 43.78/42.66 3612 (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]. 43.78/42.66 3613 (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]. 43.78/42.66 3614 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_finseq_1(A) -> v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_relat_1(k7_finseq_1(A,B)))) # label(dt_k7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3615 (all A ((exists B (v4_ordinal2(B) & r1_tarski(A,k2_finseq_1(B)))) -> (all B (m2_finseq_1(B,k5_numbers) -> (k14_finseq_1(A) = B <-> k2_relat_1(B) = A & (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (all E (v4_ordinal2(E) -> (all F (v4_ordinal2(F) -> -(-r1_xreal_0(D,C) & F = k1_funct_1(B,D) & r1_xreal_0(F,E) & E = k1_funct_1(B,C) & r1_xreal_0(D,k3_finseq_1(B)) & r1_xreal_0(np__1,C))))))))))))))) # label(d13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3616 $T # label(t51_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3617 (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]. 43.78/42.66 3618 (exists A (v1_xboole_0(A) & v2_funct_1(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3619 $T # label(dt_k1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3620 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) <-> r1_tarski(k2_finseq_1(A),k2_finseq_1(B))))))) # label(t7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3621 $T # label(t70_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3622 (all 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))) # label(cc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3623 (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]. 43.78/42.66 3624 (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 (m2_subset_1(C,k1_numbers,k5_numbers) -> -(-r2_hidden(C,k4_finseq_1(A)) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(r2_hidden(D,k4_finseq_1(B)) & k1_nat_1(k3_finseq_1(A),D) = C))) & r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B)))))))))) # label(t38_finseq_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3625 $T # label(t48_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3626 $T # label(t147_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3627 $T # label(t49_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3628 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> v3_orders_1(A) & v2_orders_1(A) & v1_orders_1(A)))) # label(t107_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3629 (all A (-v1_xboole_0(A) -> (exists B m1_orders_1(B,A)))) # label(existence_m1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3630 $T # label(t168_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3631 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) <-> r1_relat_2(A,B) & r4_relat_2(A,B) & r8_relat_2(A,B))))) # label(d7_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3632 (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]. 43.78/42.66 3633 (all A (v1_relat_1(A) -> (all B -(r2_orders_1(A,B) & (all C -r7_orders_1(A,C)) & r5_orders_1(A,B) & B = k3_relat_1(A))))) # label(t174_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3634 $T # label(t30_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3635 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> v1_orders_1(A) & v2_orders_1(A)))) # label(t108_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3636 $T # label(t83_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3637 $T # label(t79_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3638 (all A (v1_relat_1(A) -> (all B (v4_relat_2(A) & r9_orders_1(A,B) -> r7_orders_1(A,B))))) # label(t157_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3639 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> k3_relat_1(B) = A)) # label(t100_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3640 $T # label(dt_k1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3641 (all A -((all B -((all C -(r1_tarski(C,B) & C != B & r2_hidden(C,A))) & r2_hidden(B,A))) & (all B -(v6_ordinal1(B) & (all C -((all D (r2_hidden(D,B) -> r1_tarski(C,D))) & r2_hidden(C,A))) & r1_tarski(B,A))) & k1_xboole_0 != A)) # label(t176_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3642 $T # label(t28_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3643 (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]. 43.78/42.66 3644 $T # label(t35_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3645 (all A all B all C all D (v4_relat_2(D) & v1_partfun1(D,A,A) & m2_relset_1(D,A,A) & v8_relat_2(D) & v1_relat_2(D) -> (r2_hidden(B,A) & r2_hidden(k4_tarski(C,B),D) & r2_hidden(k4_tarski(B,C),D) & r2_hidden(C,A) -> C = B))) # label(t13_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3646 (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]. 43.78/42.66 3647 $T # label(t46_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3648 $T # label(t52_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3649 (all A (v1_relat_1(A) -> (all B ((all C -(r2_hidden(k4_tarski(B,C),A) & C != B & r2_hidden(C,k3_relat_1(A)))) & r2_hidden(B,k3_relat_1(A)) <-> r6_orders_1(A,B))))) # label(d11_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3650 (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]. 43.78/42.66 3651 $T # label(t80_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3652 (all A (v1_relat_1(A) -> (all B (r8_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(C,B),A) | B = C)))))) # label(d13_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3653 (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]. 43.78/42.66 3654 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) & r6_relat_2(A,B) & r4_relat_2(A,B) & r1_relat_2(A,B) <-> r3_orders_1(A,B))))) # label(d8_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3655 $T # label(t45_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3656 $T # label(t33_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3657 $T # label(t123_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3658 $T # label(t8_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3659 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & r1_tarski(B,C) & B != C)))) & (all B (v6_ordinal1(B) & r1_tarski(B,A) -> r2_hidden(k3_tarski(B),A) | B = k1_xboole_0)))) # label(t177_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3660 $T # label(t53_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3661 $T # label(t167_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3662 (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]. 43.78/42.66 3663 (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]. 43.78/42.66 3664 $T # label(t73_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3665 $T # label(t156_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3666 $T # label(t39_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3667 (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]. 43.78/42.66 3668 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> r2_orders_1(A,B) & r3_orders_1(A,B) & r1_orders_1(A,B))))) # label(t124_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3669 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r2_wellord1(A,B) -> r2_wellord1(A,C))))) # label(t187_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3670 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> v1_orders_1(A)))) # label(t109_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3671 (all A (v1_relat_1(A) -> (v3_orders_1(A) <-> v1_relat_2(A) & v6_relat_2(A) & v4_relat_2(A) & v8_relat_2(A)))) # label(d5_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3672 (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]. 43.78/42.66 3673 $T # label(t59_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3674 $T # label(t29_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3675 $T # label(t55_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3676 $T # label(t169_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3677 $T # label(t122_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3678 (all A (v1_relat_1(A) -> (all B (r9_orders_1(A,B) <-> (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(B,C),A) | B = C)) & r2_hidden(B,k3_relat_1(A)))))) # label(d14_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3679 $T # label(t51_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3680 (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]. 43.78/42.66 3681 (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]. 43.78/42.66 3682 (all A (v1_relat_1(A) -> (all B -(r2_orders_1(A,B) & k3_relat_1(A) = B & (all C -r6_orders_1(A,C)) & r4_orders_1(A,B))))) # label(t173_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3683 $T # label(t170_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3684 $T # label(t145_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3685 (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]. 43.78/42.66 3686 $T # label(t67_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3687 $T # label(t2_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3688 $T # label(t70_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3689 (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]. 43.78/42.66 3690 $T # label(t118_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3691 (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]. 43.78/42.66 3692 $T # label(t54_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3693 $T # label(t58_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3694 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> k3_relat_1(B) = A)) # label(t97_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3695 $T # label(t3_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3696 $T # label(t117_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3697 $T # label(t61_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3698 $T # label(t78_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3699 $T # label(t75_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3700 $T # label(t77_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3701 $T # label(t88_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3702 (all A (v1_relat_1(A) -> (all B -(k3_relat_1(A) = B & (all C (v1_relat_1(C) -> -(r1_tarski(A,C) & k3_relat_1(C) = B & r3_orders_1(C,B)))) & r2_orders_1(A,B))))) # label(t179_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3703 (all A (v1_relat_1(A) -> (v2_orders_1(A) <-> v4_relat_2(A) & v8_relat_2(A) & v1_relat_2(A)))) # label(d4_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3704 $T # label(t144_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3705 (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]. 43.78/42.66 3706 (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]. 43.78/42.66 3707 (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]. 43.78/42.66 3708 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) -> r2_orders_1(B,A))) # label(t140_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3709 $T # label(t24_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3710 (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]. 43.78/42.66 3711 (all A all B all C (v4_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v1_relat_2(C) -> (r2_hidden(B,A) -> r2_hidden(k4_tarski(B,B),C)))) # label(t12_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3712 (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]. 43.78/42.66 3713 $T # label(t25_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3714 $T # label(t72_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3715 (all A (v1_relat_1(A) -> (v1_relat_2(A) & v8_relat_2(A) <-> v1_orders_1(A)))) # label(d3_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3716 $T # label(t82_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3717 (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]. 43.78/42.66 3718 (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) -> k5_relset_1(A,A,B) = A & k4_relset_1(A,A,B) = A)) # label(t99_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3719 (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]. 43.78/42.66 3720 (all A (v1_relat_1(A) -> (all B -(B = k1_xboole_0 & r4_orders_1(A,B))))) # label(t149_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3721 $T # label(t1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3722 (all A all B (v1_relat_1(B) -> (r7_relat_2(B,A) <-> r1_relat_2(B,A) & r6_relat_2(B,A)))) # label(t92_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3723 (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) -> r1_orders_1(B,A))) # label(t139_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3724 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> (v6_relat_2(B) -> v3_orders_1(B)))) # label(t112_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3725 $T # label(t40_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3726 $T # label(t85_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3727 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> v1_relat_2(k2_wellord1(A,B)) & v4_relat_2(k2_wellord1(A,B)) & v8_relat_2(k2_wellord1(A,B)) & m2_relset_1(k2_wellord1(A,B),B,B) & v1_partfun1(k2_wellord1(A,B),B,B))))) # label(t143_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3728 (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]. 43.78/42.66 3729 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r6_relat_2(A,B) -> r6_relat_2(A,C))))) # label(t186_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3730 (all A (v1_relat_1(A) -> (all B all C (r2_hidden(B,C) & r9_orders_1(A,B) & r1_tarski(C,k3_relat_1(A)) & v1_relat_2(A) -> r5_orders_1(A,C))))) # label(t162_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3731 (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]. 43.78/42.66 3732 (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]. 43.78/42.66 3733 (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]. 43.78/42.66 3734 (all A (v1_relat_1(A) -> (all B (r4_orders_1(A,B) <-> r5_orders_1(k4_relat_1(A),B))))) # label(t151_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3735 $T # label(t41_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3736 (all A (r2_orders_1(k6_partfun1(A),A) & r1_orders_1(k6_partfun1(A),A))) # label(t146_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3737 $T # label(t84_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3738 $T # label(t16_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3739 $T # label(t64_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3740 $T # label(t66_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3741 $T # label(t63_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3742 $T # label(t23_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3743 $T # label(t116_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3744 (all A (-v1_xboole_0(A) -> (-r2_hidden(k1_xboole_0,A) -> (all B (v1_funct_1(B) & v1_funct_2(B,A,k3_tarski(A)) & m2_relset_1(B,A,k3_tarski(A)) -> (m1_orders_1(B,A) <-> (all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C))))))))) # label(d1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3745 $T # label(t57_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3746 $T # label(t60_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3747 $T # label(t153_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3748 (all A (v1_relat_1(A) -> (all B (r4_orders_1(k4_relat_1(A),B) <-> r5_orders_1(A,B))))) # label(t152_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3749 $T # label(t31_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3750 (all A (-((exists B (r2_hidden(B,A) & k1_xboole_0 != B)) & k1_xboole_0 = k3_tarski(A)) & -((all B -(B != k1_xboole_0 & r2_hidden(B,A))) & k3_tarski(A) != k1_xboole_0))) # label(t91_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3751 (all A (v2_orders_1(k6_partfun1(A)) & v1_orders_1(k6_partfun1(A)))) # label(t120_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3752 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_orders_1(A)))) # label(fc1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3753 (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]. 43.78/42.66 3754 (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]. 43.78/42.66 3755 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) & r1_relat_2(A,B) <-> r1_orders_1(A,B))))) # label(d6_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3756 $T # label(t74_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3757 $T # label(t44_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3758 (all A (v1_relat_1(A) -> (all B ((all C -((all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),A))) & r2_hidden(D,B))) & v3_orders_1(k2_wellord1(A,C)) & r1_tarski(C,B))) <-> r5_orders_1(A,B))))) # label(d10_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3759 (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]. 43.78/42.66 3760 (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]. 43.78/42.66 3761 (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]. 43.78/42.66 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]. 43.78/42.66 3763 $T # label(t101_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3764 $T # label(t34_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3765 (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]. 43.78/42.66 3766 (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) -> v2_orders_1(B))) # label(t110_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3767 $T # label(t121_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3768 (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]. 43.78/42.66 3769 $T # label(t90_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3770 (all A (v1_relat_1(A) -> (all B (r1_tarski(B,k3_relat_1(A)) & v1_relat_2(A) -> B = k3_relat_1(k2_wellord1(A,B)))))) # label(t181_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3771 $T # label(t102_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3772 $T # label(t71_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3773 $T # label(t56_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3774 $T # label(t32_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3775 $T # label(t15_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3776 $T # label(t22_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3777 (all A all B (m2_relset_1(B,A,A) -> (r1_relat_2(B,A) -> k4_relset_1(A,A,B) = A & k3_relat_1(B) = A))) # label(t98_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3778 (all A -((all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & r1_tarski(B,C) & B != C)))) & (all B -(v6_ordinal1(B) & (all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(D,C))))) & r1_tarski(B,A))) & k1_xboole_0 != A)) # label(t175_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3779 (all A (v1_relat_1(A) -> (all B ((all C -(r1_tarski(C,B) & (all D -(r2_hidden(D,B) & (all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(E,D),A))))) & v3_orders_1(k2_wellord1(A,C)))) <-> r4_orders_1(A,B))))) # label(d9_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3780 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & C != B & r1_tarski(C,B))))) & (all B (r1_tarski(B,A) & v6_ordinal1(B) -> r2_hidden(k1_setfam_1(B),A) | B = k1_xboole_0)))) # label(t178_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3781 (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]. 43.78/42.66 3782 $T # label(t20_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3783 (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]. 43.78/42.66 3784 $T # label(t76_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3785 $T # label(t43_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3786 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> v4_relat_2(k2_wellord1(A,B)) & v1_partfun1(k2_wellord1(A,B),B,B) & m2_relset_1(k2_wellord1(A,B),B,B) & v8_relat_2(k2_wellord1(A,B)) & v1_relat_2(k2_wellord1(A,B)))))) # label(t142_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3787 (all A all B (v1_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v4_relat_2(B) -> v1_orders_1(B))) # label(t111_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3788 (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]. 43.78/42.66 3789 (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]. 43.78/42.66 3790 $T # label(t47_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3791 $T # label(t171_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3792 $T # label(t21_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3793 $T # label(t65_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3794 (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]. 43.78/42.66 3795 (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]. 43.78/42.66 3796 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r1_tarski(A,B) <-> r2_hidden(A,k1_orders_1(B))))))) # label(t5_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3797 $T # label(t50_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.66 3798 (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]. 43.78/42.72 3799 $T # label(t19_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3800 (all A (v1_relat_1(A) -> (all B (r7_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C -(r2_hidden(k4_tarski(C,B),A) & C != B & r2_hidden(C,k3_relat_1(A)))))))) # label(d12_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3801 $T # label(t26_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3802 (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]. 43.78/42.72 3803 (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]. 43.78/42.72 3804 $T # label(t42_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3805 $T # label(t103_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3806 $T # label(t10_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3807 (all A (-v1_xboole_0(A) -> (all B (m1_orders_1(B,A) -> v1_funct_1(B) & v1_funct_2(B,A,k3_tarski(A)) & m2_relset_1(B,A,k3_tarski(A)))))) # label(dt_m1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3808 $T # label(t38_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3809 $T # label(t148_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3810 (all A (-v1_xboole_0(A) -> r2_hidden(A,k1_orders_1(A)))) # label(t7_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3811 (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]. 43.78/42.72 3812 $T # label(t87_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3813 (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]. 43.78/42.72 3814 (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]. 43.78/42.72 3815 (all A (v1_relat_1(A) -> (all B k4_relat_1(k2_wellord1(A,B)) = k2_wellord1(k4_relat_1(A),B)))) # label(t193_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3816 $T # label(t9_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3817 $T # label(t89_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3818 (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(A,B) & p1_s2_orders_1(B,A) -> 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 -(r1_tarski(A,f1_s2_orders_1) & (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))))) & (all B (m1_subset_1(B,f1_s2_orders_1) -> (all C (m1_subset_1(C,f1_s2_orders_1) -> -(r2_hidden(B,A) & r2_hidden(C,A) & -p1_s2_orders_1(B,C) & -p1_s2_orders_1(C,B)))))))) -> (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) & A != B))))) # label(s2_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3819 $T # label(t37_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3820 $T # label(t11_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3821 (all A (m1_subset_1(A,f1_s1_orders_1) -> p1_s1_orders_1(A,A))) & (all A (m1_subset_1(A,f1_s1_orders_1) -> (all B (m1_subset_1(B,f1_s1_orders_1) -> (p1_s1_orders_1(B,A) & p1_s1_orders_1(A,B) -> B = A))))) & (all A (m1_subset_1(A,f1_s1_orders_1) -> (all B (m1_subset_1(B,f1_s1_orders_1) -> (all C (m1_subset_1(C,f1_s1_orders_1) -> (p1_s1_orders_1(A,B) & p1_s1_orders_1(B,C) -> p1_s1_orders_1(A,C)))))))) & (all A -(r1_tarski(A,f1_s1_orders_1) & (all B (m1_subset_1(B,f1_s1_orders_1) -> (exists C (m1_subset_1(C,f1_s1_orders_1) & r2_hidden(C,A) & -p1_s1_orders_1(C,B))))) & (all B (m1_subset_1(B,f1_s1_orders_1) -> (all C (m1_subset_1(C,f1_s1_orders_1) -> -(r2_hidden(B,A) & r2_hidden(C,A) & -p1_s1_orders_1(B,C) & -p1_s1_orders_1(C,B)))))))) -> (exists A ((all B (m1_subset_1(B,f1_s1_orders_1) -> -(A != B & p1_s1_orders_1(A,B)))) & m1_subset_1(A,f1_s1_orders_1))) # label(s1_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3822 $T # label(t18_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3823 $T # label(t155_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3824 $T # label(t36_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3825 (all A all B all C all D all E (v1_relat_2(E) & v4_relat_2(E) & v8_relat_2(E) & m2_relset_1(E,A,A) & v1_partfun1(E,A,A) -> (r2_hidden(C,A) & r2_hidden(D,A) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(k4_tarski(B,C),E) & r2_hidden(B,A) -> r2_hidden(k4_tarski(B,D),E)))) # label(t14_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3826 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B -(r1_tarski(B,k2_relat_1(A)) & (all C -(r1_tarski(C,k1_relat_1(A)) & B = k9_relat_1(A,C) & v1_finset_1(C))) & v1_finset_1(B))))) # label(t195_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3827 $T # label(t172_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3828 $T # label(t27_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3829 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_hidden(A,k1_orders_1(B)) <-> m1_subset_1(A,k1_zfmisc_1(B))))))) # label(t6_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3830 (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]. 43.78/42.72 3831 $T # label(t81_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3832 (all A (v1_relat_1(A) -> (all B -(r5_orders_1(A,B) & B = k1_xboole_0)))) # label(t150_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3833 $T # label(t69_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3834 $T # label(t68_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3835 $T # label(t86_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3836 $T # label(t62_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3837 $T # label(t154_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3838 $T # label(t17_orders_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3839 (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]. 43.78/42.72 3840 (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]. 43.78/42.72 3841 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (k1_xboole_0 = A -> k7_eqrel_1(A,B) = k1_xboole_0))) # label(t40_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3842 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> k5_eqrel_1(A,B,B) = B)) # label(t22_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3843 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v3_relat_2(C) & v8_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v1_partfun1(B,A,A) -> v3_relat_2(k5_eqrel_1(A,B,C)) & v8_relat_2(k5_eqrel_1(A,B,C)) & v1_partfun1(k5_eqrel_1(A,B,C),A,A) & m2_relset_1(k5_eqrel_1(A,B,C),A,A))) # label(dt_k5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3844 $T # label(t39_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.78/42.72 3845 (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 (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 (D = k6_eqrel_1(A,B,E) & r2_hidden(E,A))))))))))) # label(d5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3846 $T # label(t21_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 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]. 43.87/42.72 3848 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C -(r2_hidden(C,A) & (all D -r2_hidden(C,k6_eqrel_1(A,B,D))))))) # label(t29_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3849 (all A all B (m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) & -v1_xboole_0(A) -> -v1_xboole_0(k7_eqrel_1(A,B)))) # label(fc3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3850 $T # label(t9_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3851 (all A all B all C (v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) -> (all D (r2_hidden(D,A) -> (r2_hidden(B,k6_eqrel_1(A,C,D)) <-> k6_eqrel_1(A,C,B) = k6_eqrel_1(A,C,D)))))) # label(t31_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3852 (all A all B all C all D (v3_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v1_relat_2(D) -> (r2_hidden(B,k6_eqrel_1(A,D,C)) <-> r2_hidden(k4_tarski(B,C),D)))) # label(t27_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3853 (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) -> A != k6_eqrel_1(B,C,D))) & r2_hidden(A,k7_eqrel_1(B,C))))) # label(t45_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3854 (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]. 43.87/42.72 3855 (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 all D -(-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(D,A) & r2_hidden(C,A))))) # label(t32_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3856 (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]. 43.87/42.72 3857 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> m2_relset_1(k2_eqrel_1(A,B,C),A,A))) # label(dt_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3858 $T # label(t10_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3859 (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]. 43.87/42.72 3860 $T # label(t15_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3861 (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 (v1_partfun1(E,B,B) & m2_relset_1(E,B,B) & v8_relat_2(E) & v3_relat_2(E) -> (r2_hidden(A,B) -> ((exists F (v1_funct_1(F) & v1_finseq_1(F) & r1_xreal_0(np__1,k3_finseq_1(F)) & k1_funct_1(F,np__1) = A & 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) -> r2_hidden(k4_tarski(k1_funct_1(F,G),k1_funct_1(F,k1_nat_1(G,np__1))),k3_eqrel_1(B,D,E)) | r1_xreal_0(k3_finseq_1(F),G)))) & v1_relat_1(F))) <-> r2_hidden(k4_tarski(A,C),k5_eqrel_1(B,D,E)))))))) # label(t36_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3862 (all A (v3_relat_2(k6_partfun1(A)) & v8_relat_2(k6_partfun1(A)) & m2_relset_1(k6_partfun1(A),A,A) & v1_partfun1(k6_partfun1(A),A,A))) # label(t6_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3863 $T # label(t2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3864 (all A all B all C all D (m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v3_relat_2(D) -> (r2_hidden(k4_tarski(B,C),D) -> r2_hidden(k4_tarski(C,B),D)))) # label(t12_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3865 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,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]. 43.87/42.72 3866 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (v3_relat_2(C) & 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]. 43.87/42.72 3867 (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) -> B = k5_eqrel_1(A,B,B))) # label(idempotence_k5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3868 (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]. 43.87/42.72 3869 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k3_eqrel_1(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3870 $T # label(d2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3871 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> k2_eqrel_1(A,B,B) = B)) # label(idempotence_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3872 (all A all B all C (v3_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) & v8_relat_2(B) -> k5_eqrel_1(A,B,C) = k5_eqrel_1(A,C,B))) # label(commutativity_k5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3873 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k2_eqrel_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3874 (all A all B (m1_eqrel_1(B,A) -> v1_setfam_1(B))) # label(cc2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3875 (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]. 43.87/42.72 3876 $T # label(t26_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3877 (all A (r1_relat_2(k6_partfun1(A),A) & r3_relat_2(k6_partfun1(A),A) & r8_relat_2(k6_partfun1(A),A))) # label(t4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3878 (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 (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) & 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]. 43.87/42.72 3879 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> (all D (v3_relat_2(D) & v8_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) -> (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]. 43.87/42.72 3880 (all A all B all C all D all E (m2_relset_1(E,A,A) & v1_partfun1(E,A,A) & v8_relat_2(E) & v3_relat_2(E) & v1_relat_2(E) -> (r2_hidden(B,k6_eqrel_1(A,E,C)) & r2_hidden(D,k6_eqrel_1(A,E,C)) -> r2_hidden(k4_tarski(B,D),E)))) # label(t30_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3881 (all A all B all C (v8_relat_2(B) & 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) & v1_partfun1(B,A,A) & v3_relat_2(B) -> v8_relat_2(k4_eqrel_1(A,B,C)) & m2_relset_1(k4_eqrel_1(A,B,C),A,A) & v1_partfun1(k4_eqrel_1(A,B,C),A,A) & v3_relat_2(k4_eqrel_1(A,B,C)))) # label(dt_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3882 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> ((exists C A = k6_eqrel_1(A,B,C)) -> k1_eqrel_1(A) = B))) # label(t35_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3883 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) -> (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,C,E) != k6_eqrel_1(A,D,E) & k6_eqrel_1(A,D,E) != k6_eqrel_1(A,B,E)))))))))) # label(t37_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3884 (all A all B (m2_relset_1(B,A,A) -> (A = k3_relat_1(B) & v8_relat_2(B) & v3_relat_2(B) & v1_relat_2(B) <-> v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B)))) # label(t16_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3885 (all A k1_eqrel_1(A) = k2_zfmisc_1(A,A)) # label(d1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3886 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> -(B = k1_xboole_0 & (exists C r2_hidden(C,A))))) # label(t14_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3887 (all A all B all 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(t11_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3888 (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) -> m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C))) -> k1_xboole_0 = 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) & v3_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B))))) # label(t19_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3889 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> m1_eqrel_1(k7_eqrel_1(A,B),A))) # label(t42_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3890 $T # label(t3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3891 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> k4_eqrel_1(A,k6_partfun1(A),B) = k6_partfun1(A))) # label(t17_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3892 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != A -> (m1_eqrel_1(B,A) <-> k5_setfam_1(A,B) = A & (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,B) & D != C & -r1_xboole_0(C,D)))) & C != k1_xboole_0))))) & (A = k1_xboole_0 -> (k1_xboole_0 = B <-> m1_eqrel_1(B,A))))) # label(d6_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3893 $T # label(t41_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3894 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C (r2_hidden(C,A) -> r2_hidden(C,k6_eqrel_1(A,B,C)))))) # label(t28_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3895 (all A m2_relset_1(k1_eqrel_1(A),A,A)) # label(dt_k1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3896 (all A exists B m1_eqrel_1(B,A)) # label(existence_m1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3897 $T # label(t8_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3898 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_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]. 43.87/42.72 3899 (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) -> k4_eqrel_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3900 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> -(B != k1_eqrel_1(A) & k1_eqrel_1(A) != C & k1_eqrel_1(A) = k3_eqrel_1(A,B,C)))))) # label(t38_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3901 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(B) -> k7_eqrel_1(A,B) = k8_eqrel_1(A,B))) # label(redefinition_k8_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3902 (all A all B all C (v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> (all D (r2_hidden(D,A) -> (k6_eqrel_1(A,C,B) = k6_eqrel_1(A,C,D) <-> r2_hidden(k4_tarski(D,B),C)))))) # label(t44_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3903 (all A all B all C (v1_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> m1_subset_1(k6_eqrel_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k6_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3904 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> k5_eqrel_1(A,B,k4_eqrel_1(A,B,C)) = B)))) # label(t25_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3905 (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 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]. 43.87/42.72 3906 (all A all B (m1_eqrel_1(B,A) -> (exists C (v8_relat_2(C) & m2_relset_1(C,A,A) & k7_eqrel_1(A,C) = B & v1_partfun1(C,A,A) & v3_relat_2(C))))) # label(t43_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3907 $T # label(t1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 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]. 43.87/42.72 3909 (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]. 43.87/42.72 3910 (all A (v1_relat_1(k1_eqrel_1(A)) & v1_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A))) # label(fc1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3911 (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]. 43.87/42.72 3912 (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) & 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 (p1_s1_eqrel_1(B,C) & r2_hidden(C,f1_s1_eqrel_1) & r2_hidden(B,f1_s1_eqrel_1) <-> r2_hidden(k4_tarski(B,C),A))) & v8_relat_2(A))) # label(s1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3913 (all A all B (m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) & -v1_xboole_0(A) -> -v1_xboole_0(k7_eqrel_1(A,B)) & v1_setfam_1(k7_eqrel_1(A,B)))) # label(fc4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3914 (all A all B all C (v8_relat_2(B) & v3_relat_2(C) & v8_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & m1_relset_1(B,A,A) & v1_partfun1(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]. 43.87/42.72 3915 (all A (v3_relat_2(k1_eqrel_1(A)) & v8_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v1_relat_2(k1_eqrel_1(A)) & v1_relat_1(k1_eqrel_1(A)))) # label(fc2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3916 (all A all B all C (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(B) -> k4_eqrel_1(A,B,C) = k4_eqrel_1(A,C,B))) # label(commutativity_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3917 (all A all B (m2_relset_1(B,A,A) -> (exists C (v8_relat_2(C) & (all D (v3_relat_2(D) & v8_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C))))) # label(t20_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3918 $T # label(t5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3919 (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]. 43.87/42.72 3920 (all A all B (r1_tarski(k4_xboole_0(k1_funct_5(A),k1_funct_5(B)),k1_funct_5(k4_xboole_0(A,B))) & r1_tarski(k4_xboole_0(k2_funct_5(A),k2_funct_5(B)),k2_funct_5(k4_xboole_0(A,B))))) # label(t8_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3921 (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(k6_funct_5(C)),B) & r1_tarski(k2_relat_1(k4_funct_5(C)),B)))) # label(t47_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3922 (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)) -> A = k1_xboole_0 | C = k5_funct_5(k6_funct_5(C)) & C = k3_funct_5(k4_funct_5(C))))) # label(t55_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3923 (all A all B (r1_tarski(k5_xboole_0(k2_funct_5(A),k2_funct_5(B)),k2_funct_5(k5_xboole_0(A,B))) & r1_tarski(k5_xboole_0(k1_funct_5(A),k1_funct_5(B)),k1_funct_5(k5_xboole_0(A,B))))) # label(t9_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3924 (all A all B all C all D (k1_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(A,C) & k2_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(B,D))) # label(t16_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3925 (all A all B (k1_funct_5(k2_xboole_0(A,B)) = k2_xboole_0(k1_funct_5(A),k1_funct_5(B)) & k2_funct_5(k2_xboole_0(A,B)) = k2_xboole_0(k2_funct_5(A),k2_funct_5(B)))) # label(t6_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3926 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k5_funct_5(B))) -> v1_relat_1(k1_funct_1(k5_funct_5(B),A)) & v1_funct_1(k1_funct_1(k5_funct_5(B),A))))) # label(t40_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3927 (all A all B all C (B != A -> r2_wellord2(k1_funct_2(C,k2_tarski(A,B)),k1_zfmisc_1(C)) & k1_card_1(k1_funct_2(C,k2_tarski(A,B))) = k1_card_1(k1_zfmisc_1(C)))) # label(t72_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3928 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(D),k2_zfmisc_1(A,B)) & k3_funct_5(D) = k3_funct_5(C) -> C = D))))) # label(t59_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3929 (all A (k1_xboole_0 = k1_funct_5(A) <-> k1_xboole_0 = k2_funct_5(A))) # label(t19_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3930 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C -((all D (v1_relat_1(D) & v1_funct_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))) & r2_hidden(C,k1_funct_5(k1_relat_1(A))))) & k1_relat_1(B) = k1_funct_5(k1_relat_1(A)) <-> B = k3_funct_5(A)))))) # label(d3_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3931 (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(k4_funct_5(C)),B) & r1_tarski(k2_relat_1(k6_funct_5(C)),B)))) # label(t48_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3932 (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(B)) <-> (exists D exists E (v1_relat_1(E) & (exists F (E = k1_funct_1(A,D) & r2_hidden(F,k1_relat_1(E)) & r2_hidden(D,k1_relat_1(A)) & C = k4_tarski(D,F))) & v1_funct_1(E))))) & (all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(C,k1_relat_1(B)) & D = k1_funct_1(A,k1_mcart_1(C)) -> 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]. 43.87/42.72 3933 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B -(r2_hidden(B,k1_relat_1(A)) & v1_funct_1(k1_funct_1(A,B)) & v1_relat_1(k1_funct_1(A,B)))) -> k1_xboole_0 = k4_funct_5(A) & k6_funct_5(A) = k1_xboole_0))) # label(t35_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3934 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(B,f1_s1_funct_5) -> k1_funct_1(A,B) = f2_s1_funct_5(B)))) & f1_s1_funct_5 = k1_relat_1(A))) # label(s1_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3935 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) & k6_funct_5(D) = k6_funct_5(C) & r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> C = D | A = k1_xboole_0))))) # label(t54_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3936 (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]. 43.87/42.72 3937 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_funct_5(k1_relat_1(k2_funct_4(A))) = k2_funct_5(k1_relat_1(A)) & k1_funct_5(k1_relat_1(A)) = k2_funct_5(k1_relat_1(k2_funct_4(A))))) # label(t20_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3938 $T # label(t22_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3939 (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(C) = k2_zfmisc_1(A,B) & k3_funct_5(D) = k3_funct_5(C) & k1_relat_1(D) = k2_zfmisc_1(A,B) -> C = D))))) # label(t51_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3940 (all A (v1_relat_1(A) -> k1_relat_1(A) = k1_funct_5(A) & k2_funct_5(A) = k2_relat_1(A))) # label(t21_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3941 $T # label(t25_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3942 (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]. 43.87/42.72 3943 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_relat_1(k5_funct_5(A)) = k2_funct_5(k1_relat_1(A)))) # label(t30_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3944 (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)) | k3_funct_5(k4_funct_5(C)) = C & k5_funct_5(k6_funct_5(C)) = C))) # label(t58_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3945 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k3_funct_5(A)) & v1_relat_1(k3_funct_5(A)))) # label(dt_k3_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3946 $T # label(t24_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3947 $T # label(t2_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3948 $T # label(t14_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3949 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> -(k2_zfmisc_1(A,B) != k1_xboole_0 & (all E (v1_funct_1(E) & v1_relat_1(E) -> -(E = k1_funct_1(k3_funct_5(D),C) & B = k1_relat_1(E) & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & (all F (r2_hidden(F,B) -> k1_funct_1(D,k4_tarski(C,F)) = k1_funct_1(E,F)))))) & r2_hidden(C,A) & k1_relat_1(D) = k2_zfmisc_1(A,B)))) # label(t36_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3950 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),k4_partfun1(A,B)) & k6_funct_5(D) = k6_funct_5(C) & r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | r2_hidden(k1_xboole_0,k2_relat_1(D)) | D = C))))) # label(t62_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.72 3951 (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]. 43.87/42.73 3952 $T # label(t3_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3953 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k5_funct_5(A)) & v1_funct_1(k5_funct_5(A)))) # label(dt_k5_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3954 $T # label(dt_k1_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3955 (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(k5_funct_5(C),B) -> k1_funct_1(C,k4_tarski(A,B)) = k1_funct_1(D,A) & r2_hidden(A,k1_relat_1(D))))))) # label(t29_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3956 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> -(k2_zfmisc_1(A,B) = k1_relat_1(D) & r2_hidden(C,B) & (all E (v1_relat_1(E) & v1_funct_1(E) -> -((all F (r2_hidden(F,A) -> k1_funct_1(D,k4_tarski(F,C)) = k1_funct_1(E,F))) & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & k1_relat_1(E) = A & E = k1_funct_1(k5_funct_5(D),C)))) & k2_zfmisc_1(A,B) != k1_xboole_0))) # label(t39_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3957 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_funct_5(A),k1_funct_5(B)) & r1_tarski(k2_funct_5(A),k2_funct_5(B)))) # label(t5_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3958 (all A all B all C all D (r2_wellord2(C,D) & r2_wellord2(A,B) -> r2_wellord2(k1_funct_2(A,C),k1_funct_2(B,D)) & k1_card_1(k1_funct_2(B,D)) = k1_card_1(k1_funct_2(A,C)))) # label(t67_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3959 (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]. 43.87/42.73 3960 (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]. 43.87/42.73 3961 (all A all B (k1_tarski(B) = k2_funct_5(k1_tarski(k4_tarski(A,B))) & k1_funct_5(k1_tarski(k4_tarski(A,B))) = k1_tarski(A))) # label(t15_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3962 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> k1_relat_1(k4_funct_5(C)) = k2_zfmisc_1(k1_relat_1(C),A) & k1_relat_1(k6_funct_5(C)) = k2_zfmisc_1(A,k1_relat_1(C))))) # label(t33_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3963 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k1_funct_1(k3_funct_5(B),A) & r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> 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)) -> k1_funct_1(B,k4_tarski(A,D)) = k1_funct_1(C,D) & r2_hidden(k4_tarski(A,D),k1_relat_1(B)))) & r1_tarski(k1_relat_1(C),k2_funct_5(k1_relat_1(B)))))))) # label(t38_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3964 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> v1_relat_1(k1_funct_1(k3_funct_5(B),A)) & v1_funct_1(k1_funct_1(k3_funct_5(B),A))))) # label(t37_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3965 (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]. 43.87/42.73 3966 (all A (k2_funct_5(A) = k1_xboole_0 | k1_xboole_0 = k1_funct_5(A) -> (all B all C -r2_hidden(k4_tarski(B,C),A)))) # label(t18_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3967 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k2_zfmisc_1(A,B) = k1_relat_1(C) -> C = k6_funct_5(k5_funct_5(C)) & C = k4_funct_5(k3_funct_5(C))))) # label(t56_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3968 $T # label(t23_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3969 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(D) = k2_zfmisc_1(A,B) & k5_funct_5(D) = k5_funct_5(C) & k1_relat_1(C) = k2_zfmisc_1(A,B) -> C = D))))) # label(t52_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3970 (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]. 43.87/42.73 3971 (all A all B all C (r1_xboole_0(A,B) -> r2_wellord2(k1_funct_2(k2_xboole_0(A,B),C),k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))) & k1_card_1(k1_funct_2(k2_xboole_0(A,B),C)) = k1_card_1(k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))))) # label(t69_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3972 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k1_relat_1(k5_funct_5(C)) = B & k1_relat_1(k3_funct_5(C)) = A | k1_xboole_0 = k2_zfmisc_1(A,B)))) # label(t31_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3973 (all A all B (-(k2_zfmisc_1(B,A) = k1_xboole_0 & k1_xboole_0 = k2_zfmisc_1(A,B) & k1_xboole_0 = A) -> k2_funct_5(k2_zfmisc_1(A,B)) = B & B = k1_funct_5(k2_zfmisc_1(B,A)))) # label(t11_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3974 (all A all B all C (A != B -> k1_card_1(k2_zfmisc_1(C,C)) = k1_card_1(k1_funct_2(k2_tarski(A,B),C)) & r2_wellord2(k1_funct_2(k2_tarski(A,B),C),k2_zfmisc_1(C,C)))) # label(t73_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3975 (all A all B all C (v1_funct_1(C) & v1_relat_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]. 43.87/42.73 3976 (all A ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> k2_funct_5(A) = k1_xboole_0 & k1_xboole_0 = k1_funct_5(A))) # label(t17_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3977 (all A all B all C (k1_card_1(k1_funct_2(A,k2_zfmisc_1(B,C))) = k1_card_1(k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))) & r2_wellord2(k1_funct_2(A,k2_zfmisc_1(B,C)),k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))))) # label(t71_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3978 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> r1_tarski(k1_funct_5(A),B) & r1_tarski(k2_funct_5(A),C))) # label(t13_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3979 (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_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)) -> k1_funct_1(B,k4_tarski(D,A)) = k1_funct_1(C,D) & r2_hidden(k4_tarski(D,A),k1_relat_1(B)))) & 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]. 43.87/42.73 3980 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_funct_1(C,A) = D & r2_hidden(B,k1_relat_1(D)) & r2_hidden(A,k1_relat_1(C)) -> 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]. 43.87/42.73 3981 (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]. 43.87/42.73 3982 (all A all B all C (v1_funct_1(C) & v1_relat_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),k4_partfun1(A,B)) & r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | C = D | r2_hidden(k1_xboole_0,k2_relat_1(D))))))) # label(t61_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3983 (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(k4_tarski(A,B),k1_relat_1(C)) & k1_funct_1(k3_funct_5(C),A) = D -> k1_funct_1(D,B) = k1_funct_1(C,k4_tarski(A,B)) & r2_hidden(B,k1_relat_1(D))))))) # label(t27_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3984 (all A (v1_relat_1(A) & v1_funct_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]. 43.87/42.73 3985 (all A all B all C all D (k1_card_1(B) = k1_card_1(A) & 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]. 43.87/42.73 3986 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> v1_relat_1(k1_funct_1(k5_funct_5(C),B)) & v1_funct_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]. 43.87/42.73 3987 (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]. 43.87/42.73 3988 (all A all B (r1_tarski(k1_funct_5(k3_xboole_0(A,B)),k3_xboole_0(k1_funct_5(A),k1_funct_5(B))) & r1_tarski(k2_funct_5(k3_xboole_0(A,B)),k3_xboole_0(k2_funct_5(A),k2_funct_5(B))))) # label(t7_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3989 $T # label(dt_k2_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3990 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k4_funct_5(k3_funct_5(C)) = C & k6_funct_5(k5_funct_5(C)) = C))) # label(t57_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3991 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k5_funct_5(C) = k5_funct_5(D) & r1_tarski(k1_relat_1(D),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> D = C))))) # label(t60_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3992 (all A all B (k1_card_1(k1_funct_2(k1_tarski(B),A)) = k1_card_1(A) & r2_wellord2(A,k1_funct_2(k1_tarski(B),A)))) # label(t65_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3993 (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(k5_funct_5(C)),B) & r1_tarski(k1_relat_1(k3_funct_5(C)),A)))) # label(t32_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3994 (all A all B all C (v1_funct_1(C) & v1_relat_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),k1_funct_2(A,B)) & r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> A = k1_xboole_0 | C = D))))) # label(t53_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3995 (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]. 43.87/42.73 3996 (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)) & r2_hidden(B,k1_relat_1(D)) & k1_funct_1(C,A) = D -> r2_hidden(k1_funct_1(D,B),k2_relat_1(k6_funct_5(C))) & k1_funct_1(D,B) = k1_funct_1(k6_funct_5(C),k4_tarski(B,A)) & r2_hidden(k4_tarski(B,A),k1_relat_1(k6_funct_5(C)))))))) # label(t46_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 3997 (all A all B (B = k2_funct_5(A) <-> (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]. 43.87/42.73 3998 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r1_tarski(k1_relat_1(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]. 43.87/42.73 3999 (all A k1_funct_2(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t64_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4000 (all A all B ((all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(C,D),A)))) <-> k1_funct_5(A) = B)) # label(d1_funct_5) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4001 (all A all B ((all C (r2_hidden(C,B) -> m2_finseq_1(C,A))) <-> m1_finseq_2(B,A))) # label(d3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4002 (all A (v4_ordinal2(A) -> (all B k2_finseq_2(A,B) = k2_funcop_1(k2_finseq_1(A),B)))) # label(d2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4003 (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]. 43.87/42.73 4004 $T # label(t67_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4005 (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]. 43.87/42.73 4006 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> (all C (m2_finseq_2(C,A,B) -> m2_finseq_1(C,A))))) # label(dt_m2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4007 (all A all B (-v1_xboole_0(B) & v4_ordinal2(A) -> -v1_xboole_0(k4_finseq_2(A,B)))) # label(fc1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4008 (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]. 43.87/42.73 4009 (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) & v1_funct_2(G,D,E) & m2_relset_1(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]. 43.87/42.73 4010 (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) -> k4_funcop_1(E,k6_finseq_1(A),D) = k6_finseq_1(C))))))))))) # label(t99_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4011 $T # label(dt_m1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4012 (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]. 43.87/42.73 4013 (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) -> (all G (m2_finseq_1(G,A) -> (all H (m2_finseq_1(H,B) -> (G = k12_finseq_1(A,D) & 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]. 43.87/42.73 4014 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (B = k7_relat_1(C,k2_finseq_1(A)) -> k3_square_1(A,k3_finseq_1(C)) = k3_finseq_1(B)))))))) # label(t24_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4015 (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) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(C)) -> v1_funct_1(k4_funcop_1(C,B,A)) & v1_finseq_1(k4_funcop_1(C,B,A)) & v1_relat_1(k4_funcop_1(C,B,A))))))) # label(t82_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4016 (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_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_funct_1(k3_funcop_1(C,A,B)) & v1_finseq_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]. 43.87/42.73 4017 (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]. 43.87/42.73 4018 (all A 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) & v1_relat_1(D) -> (k4_funcop_1(D,B,A) = C & r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(D)) -> k3_finseq_1(C) = k3_finseq_1(B)))))))) # label(t83_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4019 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m1_subset_1(D,B) -> 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]. 43.87/42.73 4020 (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 (m2_relset_1(J,k2_zfmisc_1(A,B),C) & v1_funct_2(J,k2_zfmisc_1(A,B),C) & v1_funct_1(J) -> (all K (m2_finseq_1(K,A) -> (all L (m2_finseq_1(L,B) -> (k11_finseq_1(D,E,F) = K & k11_finseq_1(G,H,I) = 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)) = k3_funcop_1(J,K,L)))))))))))))))))))))))))) # label(t90_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4021 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (k4_finseq_2(B,C) = k4_finseq_2(A,C) -> B = A))))))) # label(t130_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4022 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,B),C) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (m2_finseq_1(E,A) -> (all F (m2_finseq_1(F,B) -> k3_funcop_1(D,E,k6_finseq_1(B)) = k6_finseq_1(C) & k6_finseq_1(C) = k3_funcop_1(D,k6_finseq_1(A),F))))))))))))) # label(t87_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4023 (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]. 43.87/42.73 4024 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> -(k3_finseq_1(B) = k1_nat_1(A,np__1) & (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D k7_finseq_1(C,k9_finseq_1(D)) != B)))))))) # label(t21_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4025 (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]. 43.87/42.73 4026 (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 -> k5_funcop_1(G,D,H) = k10_finseq_1(k2_binop_1(A,B,C,G,D,E),k2_binop_1(A,B,C,G,D,F))))))))))))))))))) # label(t95_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4027 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v3_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_1(C) -> (k5_relat_1(C,A) = B -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t48_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4028 (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) -> np__0 = k2_square_1(np__0,k6_xcmplx_0(A,B))))))) # label(t3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4029 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (m2_finseq_1(D,A) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (k1_partfun1(k5_numbers,A,A,B,D,E) = C -> k3_finseq_1(C) = k3_finseq_1(D)))))))))) # label(t37_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4030 (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]. 43.87/42.73 4031 (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]. 43.87/42.73 4032 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> (all H (m2_relset_1(H,k2_zfmisc_1(A,B),C) & v1_funct_2(H,k2_zfmisc_1(A,B),C) & v1_funct_1(H) -> (all I (m2_finseq_1(I,A) -> (all J (m2_finseq_1(J,B) -> (I = k10_finseq_1(D,E) & k10_finseq_1(F,G) = J -> 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]. 43.87/42.73 4033 (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]. 43.87/42.73 4034 (all A (v4_ordinal2(A) -> (all B k4_finseq_2(A,B) = a_2_0_finseq_2(A,B)))) # label(d4_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4035 (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]. 43.87/42.73 4036 (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)))) & k3_finseq_1(A) = f1_s1_finseq_2)) # label(s1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4037 (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]. 43.87/42.73 4038 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C k2_finseq_2(k1_nat_1(A,B),C) = k7_finseq_1(k2_finseq_2(A,C),k2_finseq_2(B,C))))))) # label(t143_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4039 (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]. 43.87/42.73 4040 (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]. 43.87/42.73 4041 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__3,A) = a_1_2_finseq_2(A))) # label(t122_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4042 (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]. 43.87/42.73 4043 (all A all B all C (v4_ordinal2(B) -> (r2_hidden(A,a_2_0_finseq_2(B,C)) <-> (exists D (m2_finseq_2(D,C,k3_finseq_2(C)) & A = D & k3_finseq_1(D) = B))))) # label(fraenkel_a_2_0_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4044 (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) & m1_subset_1(E,B) & k11_finseq_1(C,D,E) = A))))) # label(fraenkel_a_1_2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4045 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (A != np__0 -> (all D (m1_subset_1(D,k2_finseq_1(A)) -> C = k1_funct_1(k2_finseq_2(A,C),D)))))))))) # label(t71_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4046 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,C) & v1_funct_2(E,B,C) -> (D = k9_finseq_1(A) -> k9_finseq_1(k1_funct_1(E,A)) = k1_partfun1(k5_numbers,B,B,C,D,E)))))))))) # label(t39_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4047 (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) -> (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]. 43.87/42.73 4048 (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 (m2_relset_1(G,k2_zfmisc_1(A,B),C) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & v1_funct_1(G) -> (all H (m2_finseq_1(H,A) -> (H = k10_finseq_1(D,E) -> k10_finseq_1(k2_binop_1(A,B,C,G,D,F),k2_binop_1(A,B,C,G,E,F)) = k4_funcop_1(G,H,F)))))))))))))))))) # label(t101_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4049 (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_funct_1(k5_relat_1(C,B)) & v1_finseq_1(k5_relat_1(C,B)) & v1_relat_1(k5_relat_1(C,B))))))))) # label(t43_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4050 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> r1_tarski(B,k3_finseq_2(A)))) # label(t105_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4051 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> a_3_0_finseq_2(A,B,C) = k4_finseq_2(k1_nat_1(A,B),C))))))) # label(t125_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4052 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k4_square_1(np__0,A) = A & k4_square_1(A,np__0) = A & k3_square_1(A,np__0) = np__0 & k3_square_1(np__0,A) = np__0)) # label(t6_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4053 (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_1(C) & v1_finseq_1(C) & v1_relat_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)))) & k3_finseq_1(C) = A & k3_finseq_1(B) = A -> C = B))))))) # label(t10_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4054 (all A k2_finseq_2(np__0,A) = k1_xboole_0) # label(t72_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4055 (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]. 43.87/42.73 4056 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_3_finseq_2(B)) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & k4_finseq_2(C,B) = A))))) # label(fraenkel_a_1_3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4057 (all A (v4_ordinal2(A) -> k3_finseq_1(k1_finseq_2(A)) = A)) # label(t55_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4058 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) -> (C = k5_relat_1(D,B) & r1_xreal_0(A,k3_finseq_1(B)) -> k3_finseq_1(C) = A))))))))) # label(t47_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4059 (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]. 43.87/42.73 4060 p1_s2_finseq_2(k6_finseq_1(f1_s2_finseq_2)) & (all A (m2_finseq_1(A,f1_s2_finseq_2) -> (all B (m1_subset_1(B,f1_s2_finseq_2) -> (p1_s2_finseq_2(A) -> p1_s2_finseq_2(k8_finseq_1(f1_s2_finseq_2,A,k12_finseq_1(f1_s2_finseq_2,B)))))))) -> (all A (m2_finseq_1(A,f1_s2_finseq_2) -> p1_s2_finseq_2(A))) # label(s2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4061 $T # label(t103_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4062 (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) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> (all F (m2_finseq_1(F,B) -> m2_finseq_1(k5_funcop_1(E,D,F),C))))))))))))) # label(t91_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4063 (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]. 43.87/42.73 4064 $T # label(t12_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4065 (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]. 43.87/42.73 4066 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> (all G (m2_finseq_1(G,A) -> (G = k12_finseq_1(A,D) -> k4_funcop_1(F,G,E) = k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E))))))))))))))))) # label(t100_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4067 (all A (v4_ordinal2(A) -> v1_funct_1(k1_finseq_2(A)) & v1_finseq_1(k1_finseq_2(A)) & v1_relat_1(k1_finseq_2(A)))) # label(dt_k1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4068 (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) -> -(A = k3_finseq_1(E) & B = k3_finseq_1(F) & k8_finseq_1(C,E,F) = D))))) & k3_finseq_1(D) = k1_nat_1(A,B)))))))))) # label(t26_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4069 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(k1_funct_1(A,C),B)))) -> m2_finseq_1(A,B))))) # label(t14_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4070 (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]. 43.87/42.73 4071 (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]. 43.87/42.73 4072 (all A k13_finseq_1(A) = k3_finseq_2(A)) # label(redefinition_k3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4073 (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]. 43.87/42.73 4074 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> k5_funcop_1(E,D,k6_finseq_1(B)) = k6_finseq_1(C))))))))))) # label(t93_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4075 (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) & C = k8_finseq_1(B,D,k12_finseq_1(B,E)))) & m2_finseq_2(D,B,k4_finseq_2(A,B)))))))))) # label(t137_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4076 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_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_funct_1(k5_funcop_1(C,A,B)) & v1_finseq_1(k5_funcop_1(C,A,B)) & v1_relat_1(k5_funcop_1(C,A,B))))))) # label(t80_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4077 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (m2_relset_1(B,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_1(B) -> 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(t44_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4078 (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]. 43.87/42.73 4079 (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]. 43.87/42.73 4080 (all A all B all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_finseq_1(E,C) -> (all F (v1_funct_2(F,C,D) & m2_relset_1(F,C,D) & v1_funct_1(F) -> (E = k10_finseq_1(A,B) -> k1_partfun1(k5_numbers,C,C,D,E,F) = k10_finseq_1(k1_funct_1(F,A),k1_funct_1(F,B))))))))))) # label(t40_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4081 $T # label(t7_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4082 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(B)) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_1(D) -> (r1_xreal_0(B,k3_finseq_1(C)) -> np__0 = B & A != np__0 | v1_funct_1(k5_relat_1(D,C)) & v1_finseq_1(k5_relat_1(D,C)) & v1_relat_1(k5_relat_1(D,C))))))))))) # label(t42_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4083 (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_relset_1(E,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_2(E,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_1(E) -> (r1_xreal_0(B,k3_finseq_1(D)) -> np__0 != A & B = np__0 | m2_finseq_1(k1_partfun1(k2_finseq_1(A),k2_finseq_1(B),k5_numbers,C,E,D),C)))))))))))) # label(t49_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4084 (all A (v4_ordinal2(A) -> k4_finseq_1(k1_finseq_2(A)) = k2_finseq_1(A))) # label(t54_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4085 (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 (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k3_funcop_1(D,A,B) = C & 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]. 43.87/42.73 4086 (all A (v4_ordinal2(A) -> k6_partfun1(k2_finseq_1(A)) = k1_finseq_2(A))) # label(d1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4087 (all A all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funct_1(D) -> (k7_finseq_1(D,k9_finseq_1(B)) = k7_finseq_1(C,k9_finseq_1(A)) -> B = A & D = C))))) # label(t20_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4088 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_subset_1(k4_square_1(A,B),k1_numbers,k5_numbers) & m2_subset_1(k3_square_1(A,B),k1_numbers,k5_numbers))))) # label(t1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4089 $T # label(t106_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4090 (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)) -> A = k3_finseq_1(C))))))) # label(t109_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4091 (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_nat_1(B,np__1) & r2_hidden(A,k2_finseq_1(k1_nat_1(B,np__1)))))))) # label(t8_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4092 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (r1_tarski(A,C) & r1_tarski(B,C) & k3_finseq_1(A) = k3_finseq_1(B) -> A = B))))))) # label(t149_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4093 (all A all B (-v1_xboole_0(B) -> ((exists C (A = k12_finseq_1(B,C) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_0_finseq_2(B))))) # label(fraenkel_a_1_0_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4094 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (v1_finseq_1(E) & v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & 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) -> (E = k5_funcop_1(F,D,G) -> k3_finseq_1(E) = k3_finseq_1(G)))))))))))))))) # label(t92_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4095 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__1,A)) -> (exists C (m1_subset_1(C,A) & k12_finseq_1(A,C) = B)))))) # label(t117_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4096 (all A all B all C (m2_finseq_1(C,A) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> m2_finseq_1(k1_partfun1(k5_numbers,A,A,B,C,D),B))))) # label(t36_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4097 (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_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> 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]. 43.87/42.73 4098 (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]. 43.87/42.73 4099 (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 (m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_1(C) -> (B = k5_relat_1(C,A) & k4_finseq_1(A) = k2_relat_1(C) -> k3_finseq_1(A) = k3_finseq_1(B)))))))) # label(t46_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.73 4100 (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]. 43.87/42.73 4101 (all A exists B (m1_finseq_2(B,A) & -v1_xboole_0(B))) # label(rc1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4102 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(k1_funct_1(B,C) = A & r2_hidden(C,k4_finseq_1(B))))) & r2_hidden(A,k2_relat_1(B))))) # label(t11_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4103 (all A k10_finseq_1(A,A) = k2_finseq_2(np__2,A)) # label(t75_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4104 (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]. 43.87/42.74 4105 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> (all C (m2_finseq_2(C,A,B) <-> m1_subset_1(C,B))))) # label(redefinition_m2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4106 (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)) -> C = k5_relat_1(k1_finseq_2(A),C))))))) # label(t138_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4107 (all A (v4_ordinal2(A) -> (all B k3_finseq_1(k2_finseq_2(A,B)) = A))) # label(t69_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4108 (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]. 43.87/42.74 4109 (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]. 43.87/42.74 4110 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_1_finseq_2(B)) <-> (exists C exists D (m1_subset_1(C,B) & A = k10_finseq_1(C,D) & m1_subset_1(D,B)))))) # label(fraenkel_a_1_1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4111 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (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]. 43.87/42.74 4112 (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]. 43.87/42.74 4113 (all A all B all C all D (-v1_xboole_0(D) & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,a_3_0_finseq_2(B,C,D)) <-> (exists E exists F (m2_finseq_2(E,D,k4_finseq_2(B,D)) & k8_finseq_1(D,E,F) = A & m2_finseq_2(F,D,k4_finseq_2(C,D))))))) # label(fraenkel_a_3_0_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4114 (all A all B (v4_ordinal2(A) -> v1_finseq_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_relat_1(k2_finseq_2(A,B)))) # label(dt_k2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4115 (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_funct_1(C) & v1_finseq_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) -> (k2_finseq_1(A) = k2_relat_1(D) & k5_relat_1(D,B) = C & r1_xreal_0(A,k3_finseq_1(B)) -> k3_finseq_1(C) = A))))))))) # label(t45_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4116 $T # label(t108_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4117 (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 (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) -> (E = k4_funcop_1(F,G,D) -> k3_finseq_1(E) = k3_finseq_1(G)))))))))))))))) # label(t98_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4118 (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]. 43.87/42.74 4119 (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]. 43.87/42.74 4120 (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) -> (k11_finseq_1(E,F,G) = I -> k5_funcop_1(H,D,I) = k11_finseq_1(k2_binop_1(A,B,C,H,D,E),k2_binop_1(A,B,C,H,D,F),k2_binop_1(A,B,C,H,D,G))))))))))))))))))))) # label(t96_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4121 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (k2_finseq_1(A) = B -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (m2_finseq_1(D,B) -> (r1_xreal_0(A,k3_finseq_1(C)) -> v1_funct_1(k5_relat_1(D,C)) & v1_finseq_1(k5_relat_1(D,C)) & v1_relat_1(k5_relat_1(D,C)))))))))))) # label(t34_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4122 (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_funct_1(C) & v1_finseq_1(C) -> (k7_relat_1(C,k2_finseq_1(A)) = B & r1_xreal_0(k3_finseq_1(C),A) -> C = B))))))) # label(t23_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4123 (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)) -> D = k8_finseq_1(B,C,D) & D = k8_finseq_1(B,D,C))))))))) # label(t115_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4124 (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]. 43.87/42.74 4125 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k5_numbers,B) & v1_funct_2(D,k5_numbers,B) -> (k2_partfun1(k5_numbers,B,D,k2_finseq_1(A)) = C -> k3_finseq_1(C) = A))))))))) # label(t32_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4126 (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]. 43.87/42.74 4127 $T # label(t29_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4128 (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_2(E,k2_zfmisc_1(B,C),D) & m2_relset_1(E,k2_zfmisc_1(B,C),D) & v1_funct_1(E) -> (all F (m2_finseq_2(F,B,k4_finseq_2(A,B)) -> (all G (m2_finseq_2(G,C,k4_finseq_2(A,C)) -> m2_finseq_2(k3_funcop_1(E,F,G),D,k4_finseq_2(A,D)))))))))))))))) # label(t140_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4129 (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]. 43.87/42.74 4130 (all A (v4_ordinal2(A) -> v1_funct_1(k1_finseq_2(A)) & v1_funct_2(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)))) # label(t65_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4131 (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]. 43.87/42.74 4132 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(C) -> (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]. 43.87/42.74 4133 (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]. 43.87/42.74 4134 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(k2_funcop_1(k2_finseq_1(A),B)) & v1_finseq_1(k2_funcop_1(k2_finseq_1(A),B)) & v1_relat_1(k2_funcop_1(k2_finseq_1(A),B)))))) # label(t66_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4135 (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]. 43.87/42.74 4136 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_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(A) = k3_finseq_1(B)))))))) # label(t33_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4137 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,A) -> m2_finseq_1(k4_funcop_1(E,F,D),C))))))))))))) # label(t97_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4138 $T # label(t53_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4139 $T # label(t17_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4140 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) -> (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]. 43.87/42.74 4141 (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]. 43.87/42.74 4142 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> (exists C m2_finseq_2(C,A,B)))) # label(existence_m2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4143 (all A exists B m1_finseq_2(B,A)) # label(existence_m1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4144 (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) -> k6_finseq_1(B) = k1_partfun1(k5_numbers,A,A,B,k6_finseq_1(A),C))))) # label(t38_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4145 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__3,A)) -> (exists C (m1_subset_1(C,A) & (exists D (m1_subset_1(D,A) & (exists E (k11_finseq_1(C,D,E) = B & m1_subset_1(E,A))))))))))) # label(t123_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4146 (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]. 43.87/42.74 4147 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -((all C (m2_finseq_1(C,A) -> (all D (m1_subset_1(D,A) -> B != k8_finseq_1(A,C,k12_finseq_1(A,D)))))) & np__0 != k3_finseq_1(B)))))) # label(t22_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4148 (all A (-v1_xboole_0(A) -> k3_tarski(a_1_3_finseq_2(A)) = k3_finseq_2(A))) # label(t128_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4149 (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 (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_relat_1(E) & v1_finseq_1(E) & v1_funct_1(E) -> -(k3_finseq_1(E) = B & k7_finseq_1(D,E) = C & k3_finseq_1(D) = A))))) & k3_finseq_1(C) = k1_nat_1(A,B)))))))) # label(t25_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4150 (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]. 43.87/42.74 4151 (all A k9_finseq_1(A) = k2_finseq_2(np__1,A)) # label(t73_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4152 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (np__0 != A -> (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]. 43.87/42.74 4153 (all A k2_finseq_2(np__3,A) = k11_finseq_1(A,A,A)) # label(t76_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4154 (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]. 43.87/42.74 4155 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),D) & m2_relset_1(F,k2_zfmisc_1(B,C),D) -> (all G (m2_finseq_2(G,C,k4_finseq_2(A,C)) -> m2_finseq_2(k5_funcop_1(F,E,G),D,k4_finseq_2(A,D)))))))))))))))) # label(t141_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4156 (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]. 43.87/42.74 4157 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k5_funcop_1(D,A,B) = C & r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(D)) -> k3_finseq_1(B) = k3_finseq_1(C)))))))) # label(t81_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4158 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> k7_relat_1(B,k2_finseq_1(A)) = k5_relat_1(k1_finseq_2(A),B))))) # label(t63_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4159 (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]. 43.87/42.74 4160 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> (all G (m2_finseq_1(G,B) -> (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]. 43.87/42.74 4161 (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]. 43.87/42.74 4162 (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_funct_1(D) & v1_finseq_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> (all F (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_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]. 43.87/42.74 4163 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) -> (all F (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_finseq_1(G) = k3_finseq_1(F) & k3_funcop_1(E,F,G) = D -> 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]. 43.87/42.74 4164 (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]. 43.87/42.74 4165 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,C,k4_finseq_2(k1_nat_1(A,B),C)) -> (exists E ((exists F (D = k8_finseq_1(C,E,F) & m2_finseq_2(F,C,k4_finseq_2(B,C)))) & m2_finseq_2(E,C,k4_finseq_2(A,C)))))))))))) # label(t126_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4166 (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]. 43.87/42.74 4167 (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(D,E) = k1_funct_1(C,E)))) -> C = D))))))))) # label(t139_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4168 (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]. 43.87/42.74 4169 (all A (v4_ordinal2(A) -> (all B all C (r2_hidden(B,k2_finseq_1(A)) -> k1_funct_1(k2_finseq_2(A,C),B) = C)))) # label(t70_finseq_2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4170 (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]. 43.87/42.74 4171 (all A v1_ordinal1(k5_classes1(A))) # label(t58_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4172 (all A all B (B = k5_classes1(A) <-> (all C ((exists D (v1_relat_1(D) & v1_funct_1(D) & (exists E (m2_subset_1(E,k1_numbers,k5_numbers) & r2_hidden(C,k1_funct_1(D,E)) & k1_relat_1(D) = k5_numbers & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> k1_funct_1(D,k1_nat_1(F,np__1)) = k3_tarski(k1_funct_1(D,F)))) & A = k1_funct_1(D,np__0))))) <-> r2_hidden(C,B))))) # label(d7_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4173 (all A exists B (k1_classes1(A) = k3_classes1(A,B) & v3_ordinal1(B))) # label(t22_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4174 (all A (v2_classes1(A) <-> v1_classes1(A) & (all B -(-r2_tarski(B,A) & -r2_hidden(B,A) & r1_tarski(B,A))) & (all B (r2_hidden(B,A) -> r2_hidden(k1_zfmisc_1(B),A))))) # label(d2_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4175 (all A k1_tarski(A) = k3_classes1(A,k1_xboole_0)) # label(t10_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4176 (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]. 43.87/42.74 4177 (all A r2_hidden(A,k1_classes1(A))) # label(t5_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4178 (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]. 43.87/42.74 4179 (all A (v3_ordinal1(A) -> r1_tarski(k3_tarski(k4_classes1(A)),k4_classes1(A)))) # label(t40_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4180 (all A (v3_ordinal1(A) -> k6_classes1(k4_classes1(A)) = A)) # label(t72_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4181 (all A all B (v3_ordinal1(B) -> (r1_ordinal1(k6_classes1(A),B) <-> (all C (r2_hidden(C,A) -> r2_hidden(k6_classes1(C),B)))))) # label(t77_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4182 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_ordinal1(A,B) <-> r1_tarski(k4_classes1(A),k4_classes1(B))))))) # label(t43_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4183 (all A all B all C (r1_tarski(C,A) & r2_hidden(A,k1_classes1(B)) -> r2_hidden(C,k1_classes1(B)))) # label(t6_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4184 (all A (v3_ordinal1(A) -> k5_classes1(A) = A)) # label(t64_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4185 (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]. 43.87/42.74 4186 (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]. 43.87/42.74 4187 (all A all B (v3_ordinal1(B) -> (v4_ordinal1(B) -> k3_classes1(A,B) = a_2_2_classes1(A,B) | B = k1_xboole_0))) # label(t12_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4188 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(k4_classes1(A),k4_classes1(B)) <-> r2_hidden(A,B)))))) # label(t42_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4189 (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]. 43.87/42.74 4190 (all A all B (v3_ordinal1(B) -> (r1_tarski(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B))) <-> r1_tarski(A,k4_classes1(B))))) # label(t46_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4191 $T # label(dt_k2_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4192 (all A exists B (v3_ordinal1(B) & k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)))) # label(t20_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4193 $T # label(t1_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4194 (all A -v1_xboole_0(k1_classes1(A))) # label(fc1_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4195 (all A r1_tarski(A,k5_classes1(A))) # label(t59_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4196 (all A exists B (v3_ordinal1(B) & k3_classes1(A,B) = k1_classes1(A) & (all C (v3_ordinal1(C) -> -(k3_classes1(A,C) = k1_classes1(A) & r2_hidden(C,B)))))) # label(t23_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4197 (all A (v3_ordinal1(A) -> r1_tarski(A,k4_classes1(A)))) # label(t44_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4198 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(k2_tarski(A,B),k4_classes1(k1_ordinal1(C))) <-> r2_hidden(B,k4_classes1(C)) & r2_hidden(A,k4_classes1(C))))) # label(t50_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4199 (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]. 43.87/42.74 4200 (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]. 43.87/42.74 4201 (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]. 43.87/42.74 4202 (all A all B all C all D (v3_ordinal1(D) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,a_3_1_classes1(B,C,D)) <-> (exists E (m1_subset_1(E,k1_classes1(B)) & r2_hidden(E,k1_funct_1(C,D)) & k1_zfmisc_1(E) = A))))) # label(fraenkel_a_3_1_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4203 (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]. 43.87/42.74 4204 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(t37_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4205 (all A all B all C (v3_ordinal1(C) -> ((exists D (D = A & (exists E (r1_tarski(D,E) & r2_hidden(E,k3_classes1(B,C)) & m1_subset_1(E,k1_classes1(B)))) & m1_subset_1(D,k1_classes1(B)))) <-> r2_hidden(A,a_2_0_classes1(B,C))))) # label(fraenkel_a_2_0_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4206 $T # label(t57_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4207 (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]. 43.87/42.74 4208 (all A all B k5_classes1(k2_xboole_0(A,B)) = k2_xboole_0(k5_classes1(A),k5_classes1(B))) # label(t67_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4209 (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]. 43.87/42.74 4210 (all A all B -(-r2_tarski(A,k1_classes1(B)) & -r2_hidden(A,k1_classes1(B)) & r1_tarski(A,k1_classes1(B)))) # label(t8_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4211 (all A all B (v3_ordinal1(B) -> -(k6_classes1(A) = k1_ordinal1(B) & (all C -(B = k6_classes1(C) & r2_hidden(C,A)))))) # label(t80_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4212 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) <-> r2_hidden(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B)))))) # label(t48_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4213 (all A all B (r1_tarski(A,B) & v1_ordinal1(B) & (all C (v1_ordinal1(C) & r1_tarski(A,C) -> r1_tarski(B,C))) -> k5_classes1(A) = B)) # label(t61_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4214 (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]. 43.87/42.74 4215 (all 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))) & v1_classes1(A) <-> v2_classes1(A))) # label(t2_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4216 (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]. 43.87/42.74 4217 (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) & k1_zfmisc_1(A) != C | D = k1_xboole_0))) # label(t17_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4218 (all A v3_ordinal1(k6_classes1(A))) # label(dt_k6_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4219 (all A all B all C (v3_ordinal1(C) -> ((exists D ((exists E (v3_ordinal1(E) & r2_hidden(D,k3_classes1(B,E)) & r2_hidden(E,C))) & A = D & m1_subset_1(D,k1_classes1(B)))) <-> r2_hidden(A,a_2_2_classes1(B,C))))) # label(fraenkel_a_2_2_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4220 (all A all B (v3_ordinal1(B) -> (r1_ordinal1(k6_classes1(A),B) <-> r1_tarski(A,k4_classes1(B))))) # label(t73_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4221 (all A all B (v3_ordinal1(B) -> (k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)) -> k3_classes1(A,B) = k1_classes1(A)))) # label(t21_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4222 (all A (k3_classes1(A,k1_xboole_0) != k3_classes1(A,k4_ordinal2) & r2_hidden(k3_classes1(A,k1_xboole_0),k3_classes1(A,k4_ordinal2)))) # label(t26_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4223 (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]. 43.87/42.74 4224 (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]. 43.87/42.74 4225 (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]. 43.87/42.74 4226 (all A all B (v3_ordinal1(B) -> (all C ((exists D (v5_ordinal1(D) & C = k1_ordinal2(D) & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(B)) -> k3_xboole_0(k3_tarski(k2_relat_1(k2_ordinal1(D,E))),k1_classes1(A)) = k1_funct_1(D,E) | k1_xboole_0 = E))) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_0_classes1(A,D,E),a_3_1_classes1(A,D,E)),k3_xboole_0(k1_zfmisc_1(k1_funct_1(D,E)),k1_classes1(A)))))) & k1_funct_1(D,k1_xboole_0) = k1_tarski(A) & k1_ordinal1(B) = k1_relat_1(D) & v1_funct_1(D) & v1_relat_1(D))) <-> C = k2_classes1(A,B))))) # label(d5_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4227 (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]. 43.87/42.74 4228 (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]. 43.87/42.74 4229 (all A k1_ordinal1(k6_classes1(A)) = k6_classes1(k1_zfmisc_1(A))) # label(t71_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4230 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,k4_classes1(C)) & r2_hidden(B,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]. 43.87/42.74 4231 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v5_ordinal1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_zfmisc_1(k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k3_tarski(k2_relat_1(k2_ordinal1(C,D))) = k1_funct_1(C,D) | D = k1_xboole_0))) & k1_xboole_0 = k1_funct_1(C,k1_xboole_0) & k1_ordinal1(A) = k1_relat_1(C) & B = k1_ordinal2(C) & v1_funct_1(C))) <-> B = k4_classes1(A))))) # label(d6_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4232 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(k1_ordinal1(B))) <-> r1_tarski(A,k4_classes1(B))))) # label(t36_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4233 (all A exists B (r1_tarski(A,k4_classes1(B)) & v3_ordinal1(B))) # label(t69_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4234 (all A all B all C (r2_hidden(B,k1_classes1(A)) & r2_hidden(C,k1_classes1(A)) -> r2_hidden(k4_tarski(B,C),k1_classes1(A)))) # label(t31_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4235 (all A (v1_ordinal1(A) -> r1_tarski(k3_tarski(A),A))) # label(t54_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4236 (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]. 43.87/42.74 4237 $T # label(t4_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4238 (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]. 43.87/42.74 4239 (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]. 43.87/42.74 4240 $T # label(t3_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4241 (all A all B all C (v3_ordinal1(C) -> (v4_ordinal1(C) -> (r2_hidden(B,k3_classes1(A,C)) <-> (exists D (r2_hidden(D,C) & r2_hidden(B,k3_classes1(A,D)) & v3_ordinal1(D)))) | C = k1_xboole_0))) # label(t16_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4242 (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]. 43.87/42.74 4243 (all A all B all C (v3_ordinal1(C) -> ((exists D (k1_zfmisc_1(D) = A & r2_hidden(D,k3_classes1(B,C)) & m1_subset_1(D,k1_classes1(B)))) <-> r2_hidden(A,a_2_1_classes1(B,C))))) # label(fraenkel_a_2_1_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4244 (all A (v3_ordinal1(A) -> r1_tarski(k4_classes1(A),k4_classes1(k1_ordinal1(A))))) # label(t39_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4245 $T # label(dt_k5_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4246 (all A all B all C all D (v5_ordinal1(C) & v3_ordinal1(D) & v1_funct_1(C) & v1_relat_1(C) -> ((exists E ((exists F (m1_subset_1(F,k1_classes1(B)) & r2_hidden(F,k1_funct_1(C,D)) & r1_tarski(E,F))) & E = A & m1_subset_1(E,k1_classes1(B)))) <-> r2_hidden(A,a_3_0_classes1(B,C,D))))) # label(fraenkel_a_3_0_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4247 (all A (k1_xboole_0 = A <-> k1_xboole_0 = k6_classes1(A))) # label(t79_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4248 (all A all B (v3_ordinal1(B) -> (r2_hidden(k1_tarski(A),k4_classes1(k1_ordinal1(B))) <-> r2_hidden(A,k4_classes1(B))))) # label(t49_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4249 (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]. 43.87/42.74 4250 (all A (v3_ordinal1(A) -> k4_classes1(k1_ordinal1(A)) = k1_zfmisc_1(k4_classes1(A)))) # label(t34_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4251 (all A all B -(A != B & (all C (v3_ordinal1(C) -> -(r2_hidden(A,k3_classes1(B,k1_ordinal1(C))) & -r2_hidden(A,k3_classes1(B,C))))) & r2_hidden(A,k1_classes1(B)))) # label(t24_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4252 (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]. 43.87/42.74 4253 $T # label(dt_k4_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4254 (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]. 43.87/42.74 4255 (all A (v1_ordinal1(A) -> v1_ordinal1(k1_classes1(A)))) # label(t27_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4256 (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]. 43.87/42.74 4257 (all A (v1_ordinal1(A) -> k5_classes1(A) = A)) # label(t62_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4258 (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]. 43.87/42.74 4259 (all A all B (v3_ordinal1(B) -> ((all C (v3_ordinal1(C) -> -(r2_hidden(C,B) & (all D -(r2_hidden(D,A) & r1_ordinal1(C,k6_classes1(D))))))) <-> r1_ordinal1(B,k6_classes1(A))))) # label(t78_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4260 $T # label(t70_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4261 (all A (v3_ordinal1(A) -> k6_classes1(A) = A)) # label(t81_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4262 (all A all B (r2_hidden(A,B) & v2_classes1(B) <-> r1_classes1(A,B))) # label(d3_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4263 (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)) <-> B = k6_classes1(A)))) # label(d8_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4264 (all A k5_classes1(k5_classes1(A)) = k5_classes1(A)) # label(t66_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4265 $T # label(dt_k1_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4266 (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]. 43.87/42.74 4267 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> A = k1_xboole_0 | (all B (r2_hidden(B,k4_classes1(A)) <-> (exists C (r2_hidden(C,A) & r2_hidden(B,k4_classes1(C)) & v3_ordinal1(C)))))))) # label(t35_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4268 (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]. 43.87/42.74 4269 (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]. 43.87/42.74 4270 (all A all B ((all C (r1_classes1(A,C) -> r1_tarski(B,C))) & r1_classes1(A,B) <-> B = k1_classes1(A))) # label(d4_classes1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4271 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_funct_1(A,B) = k1_card_1(k1_funct_1(k2_card_3(A),B)))))) # label(t40_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4272 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> -((all C all D k4_tarski(C,D) != A) & r2_hidden(A,k3_card_3(k2_card_3(B)))))) # label(t32_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4273 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (B = k2_card_3(A) <-> 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)))))))) # label(d3_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4274 $T # label(t2_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4275 (all A (v1_funct_1(A) & v1_relat_1(A) -> (r2_hidden(k1_xboole_0,k2_relat_1(A)) <-> k4_card_3(A) = k1_xboole_0))) # label(t37_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4276 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (r2_hidden(k1_xboole_0,k2_relat_1(A)) <-> np__0 = k7_card_3(A)))) # label(t44_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4277 (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]. 43.87/42.74 4278 $T # label(t7_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4279 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & v1_setfam_1(B) -> v1_fraenkel(k4_card_3(C)) & -v1_xboole_0(k4_card_3(C)))) # label(fc4_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4280 (all A (v2_relat_1(A) & v1_funct_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]. 43.87/42.74 4281 (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]. 43.87/42.74 4282 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_card_3(A)) & v1_card_3(k1_card_3(A)) & v1_funct_1(k1_card_3(A)))) # label(dt_k1_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4283 (all A all B all C k2_xboole_0(k5_card_3(C,A),k5_card_3(C,B)) = k5_card_3(C,k2_xboole_0(A,B))) # label(t27_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4284 $T # label(t1_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.74 4285 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(A,k1_relat_1(C)) -> 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]. 43.87/42.75 4286 (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]. 43.87/42.75 4287 $T # label(t23_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4288 $T # label(dt_k4_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4289 (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]. 43.87/42.75 4290 (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]. 43.87/42.75 4291 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_card_3(B) & v1_relat_1(B) -> (k1_relat_1(A) = k1_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_card_3(A) = B))))) # label(d2_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4292 $T # label(dt_k3_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4293 $T # label(t41_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4294 (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]. 43.87/42.75 4295 $T # label(t5_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4296 (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]. 43.87/42.75 4297 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> k6_card_3(k2_funcop_1(A,B)) = k2_card_2(A,B))))) # label(t52_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4298 $T # label(t6_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4299 (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) -> ((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]. 43.87/42.75 4300 (all A all B (v1_card_1(B) -> v1_relat_1(k2_funcop_1(A,B)) & v1_card_3(k2_funcop_1(A,B)) & v1_ordinal2(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)))) # label(fc2_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4301 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k2_card_3(A)) & v1_relat_1(k2_card_3(A)))) # label(dt_k2_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4302 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_card_3(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_1(k1_funct_1(A,B))))))) # label(d1_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4303 (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]. 43.87/42.75 4304 (all A all B (v1_funct_1(A) & v1_card_3(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]. 43.87/42.75 4305 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k4_card_3(B)) <-> k1_relat_1(A) = k1_relat_1(B) & (all C (r2_hidden(C,k1_relat_1(B)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C))))))))) # label(t18_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4306 (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]. 43.87/42.75 4307 (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]. 43.87/42.75 4308 (all A -(v6_ordinal1(A) & (all B -((all C -((all D -((all E (r2_hidden(E,C) -> r1_tarski(D,E))) & r2_hidden(D,C))) & k1_xboole_0 != C & r1_tarski(C,B))) & k3_tarski(A) = k3_tarski(B) & r1_tarski(B,A))))) # label(t61_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4309 $T # label(dt_k5_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4310 (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]. 43.87/42.75 4311 (all A (v1_relat_1(A) & v1_funct_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)) -> 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]. 43.87/42.75 4312 (all A k5_card_3(A,k1_xboole_0) = k1_xboole_0) # label(t24_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4313 (all A all B all C (C = k5_card_3(A,B) <-> (all D ((exists E (v1_funct_1(E) & r2_hidden(E,B) & D = k1_funct_1(E,A) & v1_relat_1(E))) <-> r2_hidden(D,C))))) # label(d6_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4314 (all A (v1_card_1(A) -> (all B A = k6_card_3(k2_funcop_1(k1_tarski(B),A))))) # label(t50_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4315 (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]. 43.87/42.75 4316 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> r1_tarski(k1_card_1(k3_card_3(A)),k6_card_3(A)))) # label(t55_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4317 (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]. 43.87/42.75 4318 (all A (v1_relat_1(A) & v1_funct_1(A) -> k3_tarski(k2_relat_1(A)) = k3_card_3(A))) # label(d4_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4319 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(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]. 43.87/42.75 4320 $T # label(t4_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4321 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_card_3(B) & v1_relat_1(B) -> (k1_relat_1(B) = k1_relat_1(A) & (all C (r2_hidden(C,k1_relat_1(A)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C)))) -> r2_hidden(k6_card_3(A),k7_card_3(B))))))) # label(t56_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4322 (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]. 43.87/42.75 4323 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k5_card_3(A,k2_tarski(B,C)) = k2_tarski(k1_funct_1(B,A),k1_funct_1(C,A)))))) # label(t26_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4324 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> v1_card_1(k6_card_3(A)))) # label(dt_k6_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4325 (exists A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A))) # label(rc1_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4326 (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]. 43.87/42.75 4327 (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]. 43.87/42.75 4328 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_card_3(A,k4_card_3(B)) | k4_card_3(B) = k1_xboole_0))) # label(t22_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4329 (all A all B (v1_funct_1(B) & v1_relat_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]. 43.87/42.75 4330 (all A all B (A != k1_xboole_0 -> k3_card_3(k2_funcop_1(A,B)) = B)) # label(t16_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4331 $T # label(t42_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4332 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(k2_mcart_1(A),k1_relat_1(B)) & r2_hidden(k1_mcart_1(A),k1_funct_1(B,k2_mcart_1(A))) & A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) <-> r2_hidden(A,k3_card_3(k2_card_3(B)))))) # label(t33_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4333 (all A all B B = k3_card_3(k2_funcop_1(k1_tarski(A),B))) # label(t17_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4334 (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]. 43.87/42.75 4335 f1_s3_card_3 != k1_xboole_0 & (all A all B all C (p1_s3_card_3(A,B) & p1_s3_card_3(B,C) -> p1_s3_card_3(A,C))) & (all A all B (p1_s3_card_3(B,A) | p1_s3_card_3(A,B))) -> (exists A (r2_hidden(A,f1_s3_card_3) & (all B (r2_hidden(B,f1_s3_card_3) -> p1_s3_card_3(A,B))))) # label(s3_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4336 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> v1_card_1(k7_card_3(A)))) # label(dt_k7_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4337 (exists A (v1_relat_1(A) & v1_funct_1(A) & f1_s4_card_3 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s4_card_3) -> (all C (r2_hidden(C,f2_s4_card_3(B)) & p1_s4_card_3(B,C) <-> r2_hidden(C,k1_funct_1(A,B)))))))) # label(s4_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4338 (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]. 43.87/42.75 4339 (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]. 43.87/42.75 4340 (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]. 43.87/42.75 4341 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) & k1_relat_1(A) = f1_s1_card_3 & (all B (r2_hidden(B,f1_s1_card_3) -> f2_s1_card_3(B) = k1_funct_1(A,B))))) # label(s1_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4342 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (k4_card_3(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D (v1_relat_1(D) & C = D & (all E (r2_hidden(E,k1_relat_1(A)) -> r2_hidden(k1_funct_1(D,E),k1_funct_1(A,E)))) & k1_relat_1(A) = k1_relat_1(D) & v1_funct_1(D))))))))) # label(d5_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4343 $T # label(t21_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4344 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> k7_card_3(A) = k1_card_1(k4_card_3(A)))) # label(d8_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4345 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> A = k1_card_3(A))) # label(t8_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4346 (all A (v1_funct_1(A) & v1_card_3(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(A,B)))))) # label(t39_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4347 (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]. 43.87/42.75 4348 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> (r1_tarski(A,B) -> r2_hidden(np__0,k2_relat_1(B)) | r1_tarski(k7_card_3(A),k7_card_3(B))))))) # label(t47_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4349 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k2_card_3(A),k2_card_3(B))))))) # label(t34_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4350 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_fraenkel(k4_card_3(A)))) # label(fc3_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4351 (all A all B (p1_s2_card_3(A,B) & p1_s2_card_3(B,A) -> A = B)) & (all A all B all C (p1_s2_card_3(A,B) & p1_s2_card_3(B,C) -> p1_s2_card_3(A,C))) & f1_s2_card_3 != k1_xboole_0 -> (exists A (r2_hidden(A,f1_s2_card_3) & (all B -(r2_hidden(B,f1_s2_card_3) & B != A & p1_s2_card_3(B,A))))) # label(s2_card_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4352 (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]. 43.87/42.75 4353 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> k3_tarski(B) = k3_classes2(A,B))) # label(redefinition_k3_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4354 (all A (v2_classes1(A) -> v4_ordinal1(k1_card_1(A)))) # label(t20_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4355 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k5_classes2(A,B,C) = k5_classes2(A,C,B))) # label(commutativity_k5_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4356 (all A v2_classes1(k4_classes1(k1_card_1(k1_classes1(A))))) # label(t40_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4357 (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]. 43.87/42.75 4358 (all A (v3_ordinal1(A) -> (all B -((all C -(k6_classes1(C) = A & r2_hidden(C,B))) & r2_hidden(A,k6_classes1(B)) & v1_ordinal1(B))))) # label(t41_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4359 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) -> (v4_ordinal1(A) & k1_relat_1(B) = A & (all C (v3_ordinal1(C) -> (r2_hidden(C,A) -> k1_funct_1(B,C) = k16_classes2(C)))) -> k1_xboole_0 = A | k16_classes2(A) = k15_classes2(k3_card_3(B))))))) # label(t78_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4360 (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]. 43.87/42.75 4361 (all A (v1_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(fc6_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4362 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -v1_xboole_0(k1_classes1(A)) & v1_classes2(k1_classes1(A)))) # label(t52_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4363 $T # label(t68_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4364 (all A (v2_classes1(A) -> r1_tarski(k4_classes1(k1_card_1(A)),A))) # label(t28_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4365 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) & v1_classes2(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]. 43.87/42.75 4366 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> (r1_tarski(A,B) & (all C (-v1_xboole_0(C) & v1_classes2(C) -> (r1_tarski(A,C) -> r1_tarski(B,C)))) <-> B = k15_classes2(A)))) # label(d4_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4367 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_zfmisc_1(B) = k2_classes2(A,B))) # label(redefinition_k2_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4368 (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]. 43.87/42.75 4369 (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]. 43.87/42.75 4370 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_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]. 43.87/42.75 4371 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> -(-r2_hidden(A,B) & A != B & -r2_hidden(B,A)))))) # label(t56_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4372 (all A all B all C (r2_hidden(B,A) & r2_hidden(C,A) & v2_classes1(A) -> r2_hidden(k1_tarski(B),A) & r2_hidden(k2_tarski(B,C),A))) # label(t3_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4373 (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]. 43.87/42.75 4374 (all A all B all C (r2_hidden(B,A) & r2_hidden(C,A) & v2_classes1(A) -> r2_hidden(k4_tarski(B,C),A))) # label(t4_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4375 (all A all B (v2_classes1(A) & r2_hidden(B,A) -> r1_tarski(k1_classes1(B),A))) # label(t5_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4376 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,B) & v2_classes1(B) -> r2_hidden(k1_ordinal1(A),B) & r1_tarski(A,B))))) # label(t6_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4377 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k12_classes2(A,B,C) = k1_funct_2(B,C))) # label(redefinition_k12_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4378 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v3_ordinal1(k2_ordinal2(A)))) # label(t50_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4379 (all A (v1_classes1(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(fc1_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4380 $T # label(t49_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4381 (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(k8_classes2(A,B,C),A))) # label(dt_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4382 (all A (v2_classes1(A) & v1_ordinal1(A) -> r1_tarski(A,k4_classes1(k1_card_1(A))))) # label(t31_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4383 (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]. 43.87/42.75 4384 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> m1_subset_1(k3_classes2(A,B),A))) # label(dt_k3_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4385 (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]. 43.87/42.75 4386 (all A (v3_ordinal1(A) -> (all B (v2_classes1(B) & r2_hidden(A,k2_ordinal2(B)) -> r1_tarski(k1_card_1(k4_classes1(A)),k1_card_1(B)))))) # label(t33_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4387 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> m1_subset_1(k4_classes2(A,B),A))) # label(dt_k4_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4388 $T # label(t48_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4389 (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]. 43.87/42.75 4390 (all A (v3_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t53_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4391 (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]. 43.87/42.75 4392 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,A))))) # label(rc2_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4393 (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]. 43.87/42.75 4394 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(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]. 43.87/42.75 4395 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k10_classes2(A,B,C),A))) # label(dt_k10_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4396 (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(k9_classes2(A,B,C),A))) # label(dt_k9_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4397 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k7_classes2(A,C,B) = k7_classes2(A,B,C))) # label(commutativity_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4398 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -v1_xboole_0(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc3_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4399 (all A (v2_classes1(A) -> v2_classes1(k4_classes1(k1_card_1(A))))) # label(t39_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4400 (all A (v3_ordinal1(A) -> k16_classes2(k1_ordinal1(A)) = k1_classes1(k16_classes2(A)))) # label(t76_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4401 $T # label(t60_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4402 (all A (v3_ordinal1(A) -> v1_ordinal1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(fc4_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4403 (all A v1_ordinal1(k5_classes1(A))) # label(fc5_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4404 (all A r1_tarski(k4_classes1(k1_card_1(k1_classes1(A))),k1_classes1(A))) # label(t29_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4405 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_card_1(B)) & v2_classes1(B) -> r2_hidden(A,B))))) # label(t16_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4406 (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]. 43.87/42.75 4407 (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]. 43.87/42.75 4408 (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]. 43.87/42.75 4409 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> B = k7_classes2(A,B,B))) # label(idempotence_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4410 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_ordinal1(k2_ordinal2(A)) & v3_ordinal1(k2_ordinal2(A)) & v2_ordinal1(k2_ordinal2(A)))) # label(fc2_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4411 (all A (v3_ordinal1(A) -> (all B (B = k16_classes2(A) <-> (exists C (v1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k15_classes2(k3_card_3(k2_ordinal1(C,D))) = k1_funct_1(C,D) | D = k1_xboole_0))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = k1_classes1(k1_funct_1(C,D))))) & k1_funct_1(C,k1_xboole_0) = k13_classes2 & k1_relat_1(C) = k1_ordinal1(A) & k1_ordinal2(C) = B & v5_ordinal1(C) & v1_funct_1(C))))))) # label(d5_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4412 (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(k7_classes2(A,B,C),A))) # label(dt_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4413 (all A all B -(-r2_hidden(A,k4_classes1(k1_card_1(k1_classes1(B)))) & -r2_wellord2(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]. 43.87/42.75 4414 $T # label(t73_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4415 (all A all B all C (v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k2_tarski(B,C) = k5_classes2(A,B,C))) # label(redefinition_k5_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4416 (all A (v2_classes1(A) & v1_ordinal1(A) -> v1_classes2(A))) # label(cc3_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4417 (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(k5_classes2(A,B,C),A))) # label(dt_k5_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4418 (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_xboole_0(k3_xboole_0(A,B)) & v1_classes2(k3_xboole_0(A,B)) & v1_classes2(k2_xboole_0(A,B)))))) # label(t61_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4419 (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]. 43.87/42.75 4420 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r2_hidden(k1_xboole_0,A))) # label(t62_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4421 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> k5_xboole_0(B,C) = k10_classes2(A,B,C))) # label(redefinition_k10_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4422 (all A (-v1_xboole_0(k15_classes2(A)) & v1_classes2(k15_classes2(A)))) # label(dt_k15_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4423 (all A (v2_classes1(A) -> k1_card_1(A) != np__0 & v4_ordinal1(k1_card_1(A)) & k1_xboole_0 != k1_card_1(A) | k1_xboole_0 = A)) # label(t21_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4424 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_classes2(A) -> k4_classes2(A,B) = k1_setfam_1(B))) # label(redefinition_k4_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4425 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r1_tarski(k13_classes2,A) & r1_tarski(k1_classes1(k1_xboole_0),A) & r1_tarski(k16_classes2(k1_xboole_0),A))) # label(t79_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4426 (all A (v2_classes1(A) & v1_ordinal1(A) -> k4_classes1(k1_card_1(A)) = A)) # label(t32_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4427 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k4_tarski(B,C) = k6_classes2(A,B,C))) # label(redefinition_k6_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4428 $T # label(t2_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4429 (all A (v2_classes1(A) -> k1_card_1(A) = k1_card_1(k4_classes1(k1_card_1(A))))) # label(t35_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4430 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> r1_tarski(A,B) | r2_hidden(B,A))))) # label(t57_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4431 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> m1_subset_1(k11_classes2(A,B,C),A))) # label(dt_k11_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4432 (all A all B (v2_classes1(A) & r2_hidden(B,A) & v1_ordinal1(A) -> r2_hidden(k6_classes1(B),A))) # label(t30_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4433 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> r3_xboole_0(A,B))))) # label(t58_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4434 (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]. 43.87/42.75 4435 $T # label(t72_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4436 (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]. 43.87/42.75 4437 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> k8_classes2(A,B,B) = B)) # label(idempotence_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4438 (exists A (v1_classes1(A) & v1_classes2(A) & v2_classes1(A) & -v1_xboole_0(A) & v1_ordinal1(A))) # label(rc1_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4439 (all A all B (r2_hidden(B,k1_card_1(A)) & v2_classes1(A) -> r2_hidden(B,A))) # label(t14_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4440 (all A (k1_card_1(k1_classes1(A)) != np__0 & k1_card_1(k1_classes1(A)) != k1_xboole_0 & v4_ordinal1(k1_card_1(k1_classes1(A))))) # label(t22_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4441 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,B) -> r2_hidden(k3_tarski(A),B) & r2_hidden(k1_setfam_1(A),B) & r2_hidden(k1_zfmisc_1(A),B)))) # label(t65_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4442 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k9_classes2(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k9_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4443 (all A (v3_ordinal1(A) -> (all B (v2_classes1(B) & r2_hidden(A,k2_ordinal2(B)) -> r2_hidden(k1_card_1(k4_classes1(A)),k1_card_1(B)) & r2_hidden(k4_classes1(A),B))))) # label(t26_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4444 (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,B,C) = k8_classes2(A,C,B))) # label(commutativity_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4445 (all A (v2_classes1(A) -> k1_card_1(A) = k2_ordinal2(A))) # label(t10_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4446 (all A (v1_ordinal1(A) -> k4_classes1(k1_card_1(k1_classes1(A))) = k1_classes1(A))) # label(t46_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4447 (all A all B (v2_classes1(A) -> r1_tarski(k1_funct_2(B,A),A) | -(r2_hidden(B,A) & v1_ordinal1(A)) & -(r2_hidden(B,A) & r1_tarski(B,A)) & -(r1_tarski(B,A) & r2_hidden(k1_card_1(B),k1_card_1(A))))) # label(t23_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4448 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,B) -> r2_hidden(k1_tarski(A),B)))) # label(t63_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4449 (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]. 43.87/42.75 4450 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(fc7_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4451 $T # label(t47_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4452 (all A all B (r2_hidden(A,k1_classes1(B)) & v1_ordinal1(A) -> r2_hidden(A,k4_classes1(k1_card_1(k1_classes1(B)))))) # label(t44_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4453 (all A (v3_ordinal1(A) -> v1_classes1(k16_classes2(A)) & v2_classes1(k16_classes2(A)) & v1_classes2(k16_classes2(A)) & -v1_xboole_0(k16_classes2(A)) & v1_ordinal1(k16_classes2(A)))) # label(fc8_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4454 (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]. 43.87/42.75 4455 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_classes2(A,B) = k1_tarski(B))) # label(redefinition_k1_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4456 (all A all B -(v2_classes1(A) & -r2_hidden(B,k4_classes1(k1_card_1(A))) & -r2_wellord2(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]. 43.87/42.75 4457 (all A (v2_classes1(A) -> v1_classes1(A))) # label(cc1_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4458 (all A (v1_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t51_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4459 (all A (v1_classes2(A) -> v1_ordinal1(A) & v1_classes1(A) & v2_classes1(A))) # label(cc2_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4460 (all A k2_ordinal2(k1_classes1(A)) = k1_card_1(k1_classes1(A))) # label(t11_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4461 (all A k1_card_1(k4_classes1(k1_card_1(k1_classes1(A)))) = k1_card_1(k1_classes1(A))) # label(t36_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4462 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k7_classes2(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4463 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k10_classes2(A,C,B) = k10_classes2(A,B,C))) # label(commutativity_k10_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4464 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k16_classes2(A) = k16_classes2(B) -> A = B))))) # label(t81_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4465 (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]. 43.87/42.75 4466 (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]. 43.87/42.75 4467 (all A all B all C (-v1_xboole_0(C) & v1_classes2(C) -> (r2_hidden(A,C) & r2_hidden(B,C) -> r2_hidden(k3_xboole_0(A,B),C) & r2_hidden(k4_xboole_0(A,B),C) & r2_hidden(k5_xboole_0(A,B),C) & r2_hidden(k2_xboole_0(A,B),C)))) # label(t66_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4468 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k1_classes1(B)) -> r1_tarski(A,k1_classes1(B)) & r2_hidden(k1_ordinal1(A),k1_classes1(B)))))) # label(t7_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4469 (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]. 43.87/42.75 4470 (all A all B (-(-(r1_tarski(A,k1_classes1(B)) & r2_hidden(A,k1_classes1(B))) & -(r1_tarski(A,k1_classes1(B)) & r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B)))) & -(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]. 43.87/42.75 4471 (all A (v1_ordinal1(A) & v2_classes1(A) <-> v1_classes2(A))) # label(d1_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4472 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k2_classes2(A,B),A) & -v1_xboole_0(k2_classes2(A,B)))) # label(dt_k2_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4473 (all A all B all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k4_tarski(A,B),C) & r2_hidden(k2_tarski(A,B),C)))) # label(t64_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4474 $T # label(t74_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4475 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k4_classes1(k2_ordinal2(A)) = A)) # label(t54_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4476 (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]. 43.87/42.75 4477 $T # label(dt_k16_classes2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4478 (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) -> (r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B)) <-> r1_tarski(k4_finseq_1(A),k4_finseq_1(B))))))) # label(t32_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4479 (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]. 43.87/42.75 4480 (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]. 43.87/42.75 4481 (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]. 43.87/42.75 4482 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_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]. 43.87/42.75 4483 (all A all B k10_finseq_1(A,B) != k1_xboole_0) # label(t38_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4484 $T # label(t37_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4485 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> k1_finseq_3(A,k2_relat_1(A)) = k1_xboole_0)) # label(t79_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4486 $T # label(t65_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4487 (all A all B all C (k9_finseq_1(B) = k1_finseq_3(k10_finseq_1(A,B),C) -> -r2_hidden(B,C) & r2_hidden(A,C) | B = A)) # label(t86_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4488 (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]. 43.87/42.75 4489 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k1_finseq_3(A,B) = k1_xboole_0 <-> r1_tarski(k2_relat_1(A),B))))) # label(t75_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4490 (all A (v4_ordinal2(A) -> A = k3_finseq_1(k14_finseq_1(k2_finseq_1(A))))) # label(t52_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4491 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C all D (v4_ordinal2(D) -> (k7_relat_1(A,k2_finseq_1(D)) = B & k3_finseq_1(A) = k2_xcmplx_0(D,np__1) -> (-r2_hidden(k1_funct_1(A,k2_xcmplx_0(D,np__1)),C) <-> k7_finseq_1(k1_finseq_3(B,C),k9_finseq_1(k1_funct_1(A,k2_xcmplx_0(D,np__1)))) = k1_finseq_3(A,C))))))))) # label(t91_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4492 (all A v2_funct_1(k9_finseq_1(A))) # label(t102_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4493 $T # label(t8_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4494 (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) -> (all D (v4_ordinal2(D) -> (k3_finseq_1(A) = k2_xcmplx_0(C,D) & B = k7_relat_1(A,k2_finseq_1(C)) -> k2_finseq_1(C) = k4_finseq_1(B)))))))))) # label(t60_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4495 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> k7_relat_1(k1_finseq_2(k2_xcmplx_0(A,B)),k2_finseq_1(A)) = k1_finseq_2(A))))) # label(t56_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4496 (all A (v1_finseq_1(A) & v1_funct_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]. 43.87/42.75 4497 (all A all B all C (r2_hidden(A,B) -> k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(C) | r2_hidden(C,B))) # label(t85_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4498 (all A all B all C k10_finseq_1(B,C) != k9_finseq_1(A)) # label(t40_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.75 4499 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) -> k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k3_xboole_0(B,k2_relat_1(A)))) = k3_finseq_1(k1_finseq_3(A,B)))))) # label(t95_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4500 (all A all B all C k11_finseq_1(A,B,C) != k1_xboole_0) # label(t39_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4501 $T # label(t36_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4502 (all A (v4_ordinal2(A) -> v2_funct_1(k1_finseq_2(A)))) # label(t100_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4503 (all A all B all C k4_finseq_1(k11_finseq_1(A,B,C)) = k2_finseq_1(np__3)) # label(t30_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4504 (all A all B all C all D (v1_finseq_1(B) & v4_ordinal2(D) & v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,a_3_0_finseq_3(B,C,D)) <-> (exists E (m2_subset_1(E,k1_numbers,k5_numbers) & A = E & r2_hidden(k1_funct_1(B,E),C) & r1_xreal_0(E,D) & r2_hidden(E,k4_finseq_1(B))))))) # label(fraenkel_a_3_0_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4505 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(A,B) <-> r2_hidden(k6_xcmplx_0(A,B),k2_finseq_1(A))))))) # label(t14_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4506 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C -(v2_funct_1(A) & k2_tarski(B,C) = k2_relat_1(A) & B != C & A != k10_finseq_1(B,C) & k10_finseq_1(C,B) != A)))) # label(t108_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4507 (all A all B all C (r2_hidden(C,B) -> k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(A) | r2_hidden(A,B))) # label(t87_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4508 (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 -> k2_finseq_1(C) = k4_finseq_1(k1_finseq_3(A,B))))))) # label(t69_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4509 (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]. 43.87/42.76 4510 (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)) & D = k1_funct_1(k14_finseq_1(A),E) & r1_xreal_0(E,F) & C = k1_funct_1(k14_finseq_1(A),F) & r1_xreal_0(F,k3_finseq_1(k14_finseq_1(A))) & r1_xreal_0(np__1,E) & -r1_xreal_0(D,C)))))))))))) # label(t46_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4511 (all A all B all C all D all E k11_finseq_1(C,D,E) != k10_finseq_1(A,B)) # label(t42_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4512 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B r1_tarski(k2_relat_1(k1_finseq_3(A,B)),k2_relat_1(A))))) # label(t73_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4513 $T # label(t47_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4514 (all A all B (-r2_hidden(A,B) <-> k1_finseq_3(k9_finseq_1(A),B) = k9_finseq_1(A))) # label(t82_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4515 (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]. 43.87/42.76 4516 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(B,k4_finseq_1(A)) <-> m2_subset_1(k6_xcmplx_0(k3_finseq_1(A),B),k1_numbers,k5_numbers) & m2_subset_1(k6_xcmplx_0(B,np__1),k1_numbers,k5_numbers)))))) # label(t28_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4517 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C (k2_tarski(B,C) = k2_relat_1(A) & v2_funct_1(A) -> B = C | np__2 = k3_finseq_1(A))))) # label(t107_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4518 (all A all B all C (v2_funct_1(k11_finseq_1(A,B,C)) <-> C != A & B != C & A != B)) # label(t104_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4519 (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]. 43.87/42.76 4520 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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]. 43.87/42.76 4521 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> k14_finseq_1(k2_finseq_1(A)) = k7_relat_1(k14_finseq_1(k2_finseq_1(k2_xcmplx_0(A,B))),k2_finseq_1(A)))))) # label(t53_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4522 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k2_relat_1(A) = k2_relat_1(k1_finseq_3(A,B)) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t74_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4523 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) & k1_tarski(B) = k2_relat_1(A) -> A = k9_finseq_1(B))))) # label(t106_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4524 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B all C all D (k2_relat_1(A) = k1_enumset1(B,C,D) & v2_funct_1(A) -> C = D | np__3 = k3_finseq_1(A) | D = B | B = C)))) # label(t110_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4525 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (r2_hidden(A,k4_finseq_1(B)) -> k1_funct_1(k7_finseq_1(k9_finseq_1(C),B),k2_xcmplx_0(A,np__1)) = k1_funct_1(B,A))))))) # label(t112_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4526 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k2_relat_1(A)) -> r2_hidden(np__1,k4_finseq_1(A)))))) # label(t33_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4527 (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) -> (r1_xreal_0(B,D) & r1_xreal_0(D,C) & r2_hidden(B,k4_finseq_1(A)) & 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]. 43.87/42.76 4528 (all A all B all C (v4_ordinal2(C) -> (k2_tarski(A,B) = k2_finseq_1(C) -> A = B | k2_tarski(A,B) = k2_tarski(np__1,np__2) & np__2 = C))) # label(t23_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4529 (all A all B all C (k10_finseq_1(A,B) = k1_finseq_3(k10_finseq_1(A,B),C) <-> -r2_hidden(B,C) & -r2_hidden(A,C))) # label(t89_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4530 (all A all B (v4_ordinal2(B) -> (k2_finseq_1(B) = k1_tarski(A) -> A = np__1 & B = np__1))) # label(t22_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4531 (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]. 43.87/42.76 4532 (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]. 43.87/42.76 4533 (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) -> (D = k1_nat_1(C,np__1) & r2_hidden(B,k2_finseq_1(D)) & r2_hidden(A,k2_finseq_1(C)) -> (r1_xreal_0(np__1,A) -> r1_xreal_0(B,A) | A = k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A)) & (r1_xreal_0(B,A) & r1_xreal_0(A,C) -> k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A) = k1_nat_1(A,np__1))))))))))) # label(t117_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4534 (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]. 43.87/42.76 4535 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k3_finseq_1(A) = k3_finseq_1(B) <-> k4_finseq_1(B) = k4_finseq_1(A)))))) # label(t31_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4536 (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) -> (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]. 43.87/42.76 4537 (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) -> (k3_finseq_1(A) = k2_xcmplx_0(C,D) & k7_relat_1(A,k2_finseq_1(C)) = B -> k3_finseq_1(B) = C))))))))) # label(t59_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4538 (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]. 43.87/42.76 4539 $T # label(t35_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4540 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(k7_relat_1(A,B)) & v1_finseq_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)) <-> (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & k2_finseq_1(C) = k3_xboole_0(B,k4_finseq_1(A)))))))) # label(t62_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4541 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_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]. 43.87/42.76 4542 (all A (v1_funct_1(A) & v1_finseq_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]. 43.87/42.76 4543 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (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]. 43.87/42.76 4544 (all A k1_xboole_0 = k1_finseq_3(k1_xboole_0,A)) # label(t81_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4545 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -((all C (m1_subset_1(C,A) -> (all D (m2_finseq_1(D,A) -> -(B = k8_finseq_1(A,k12_finseq_1(A,C),D) & k1_funct_1(B,np__1) = C))))) & -v1_xboole_0(B)))))) # label(t111_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4546 (all A all B all C (k9_finseq_1(A) = k1_finseq_3(k10_finseq_1(A,B),C) -> r2_hidden(B,C) & -r2_hidden(A,C) | B = A)) # label(t88_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4547 (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]. 43.87/42.76 4548 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (k1_xboole_0 != k2_relat_1(A) -> r2_hidden(np__1,k4_finseq_1(A))))) # label(t34_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4549 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) <-> k1_finseq_2(A) = k7_relat_1(k1_finseq_2(A),k2_finseq_1(B))))))) # label(t58_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4550 (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 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]. 43.87/42.76 4551 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_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]. 43.87/42.76 4552 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B -(np__0 = B & r2_hidden(B,k4_finseq_1(A)))))) # label(t26_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4553 (all A all B (A != B <-> v2_funct_1(k10_finseq_1(A,B)))) # label(t103_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4554 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_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]. 43.87/42.76 4555 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(k2_xcmplx_0(A,B),k2_finseq_1(A)) -> np__0 = B))))) # label(t11_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4556 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(B,k4_finseq_1(A)) <-> r1_xreal_0(B,k3_finseq_1(A)) & r1_xreal_0(np__1,B)))))) # label(t27_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4557 (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)) -> k3_finseq_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(A),k1_tarski(C)))) = B))))))) # label(t116_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4558 (all A all B all C (r2_hidden(A,C) & r2_hidden(B,C) <-> k1_xboole_0 = k1_finseq_3(k10_finseq_1(A,B),C))) # label(t84_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4559 (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]. 43.87/42.76 4560 (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]. 43.87/42.76 4561 (all A all B all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (r1_tarski(B,k2_finseq_1(D)) & r1_tarski(A,k2_finseq_1(C)) -> (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(F,B) & r1_xreal_0(F,E) & r2_hidden(E,A)))))))))))) # label(t48_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4562 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (k3_finseq_1(k1_finseq_3(A,B)) = k3_finseq_1(A) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t68_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4563 (all A (v4_ordinal2(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_finseq_1(A)) -> k3_finseq_1(k14_finseq_1(B)) = k4_card_1(B)))))) # label(t44_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4564 (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]. 43.87/42.76 4565 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C all D (v4_ordinal2(D) -> (k7_relat_1(A,k2_finseq_1(D)) = B & 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]. 43.87/42.76 4566 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (np__0 != A -> r2_hidden(A,k2_finseq_1(k2_xcmplx_0(A,B)))))))) # label(t10_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4567 (all A all B (v4_ordinal2(A) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> v1_finseq_1(k2_finseq_3(A,B)) & v1_funct_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]. 43.87/42.76 4568 (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)) -> C = k3_finseq_1(k2_finseq_3(B,A))))))))) # label(t118_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4569 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_relat_1(A)) & v2_funct_1(A) -> k6_xcmplx_0(k3_finseq_1(A),k4_card_1(B)) = k3_finseq_1(k1_finseq_3(A,B))))))) # label(t96_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4570 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (v2_funct_1(A) & k2_relat_1(A) = k1_enumset1(B,C,D) & v2_funct_1(k11_finseq_1(B,C,D)) -> np__3 = k3_finseq_1(A))))) # label(t109_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4571 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> k2_finseq_3(A,B) = k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(B),k1_tarski(A))),B))))) # label(d2_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4572 (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))) & a_3_0_finseq_3(A,B,C) = D)))))))) # label(t92_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4573 (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 (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) = k3_finseq_1(A) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(A,D) = k1_funct_1(B,D)))) & (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))))) -> A = k7_finseq_1(B,C)))))))) # label(t43_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4574 (all A (v4_ordinal2(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_finseq_1(A)) -> k4_finseq_1(k14_finseq_1(B)) = k2_finseq_1(k4_card_1(B))))))) # label(t45_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4575 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(A,k2_finseq_1(B)) -> r1_xreal_0(A,C) | r2_hidden(k6_xcmplx_0(A,C),k2_finseq_1(B))))))))) # label(t13_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4576 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_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]. 43.87/42.76 4577 (all A (v4_ordinal2(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k2_finseq_3(A,B)),k2_relat_1(B)))))) # label(t115_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4578 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> A = k1_finseq_3(A,k1_xboole_0))) # label(t78_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4579 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_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]. 43.87/42.76 4580 (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]. 43.87/42.76 4581 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) & k1_tarski(B) = k2_relat_1(A) -> np__1 = k3_finseq_1(A))))) # label(t105_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4582 (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 (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]. 43.87/42.76 4583 (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]. 43.87/42.76 4584 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> -(-r1_xreal_0(B,A) & k10_finseq_1(A,B) != k14_finseq_1(k2_tarski(A,B)) & -r1_xreal_0(A,np__0)))))) # label(t51_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4585 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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]. 43.87/42.76 4586 $T # label(t21_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4587 (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]. 43.87/42.76 4588 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_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]. 43.87/42.76 4589 $T # label(t101_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4590 (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 k1_finseq_3(k7_finseq_1(A,B),C) = k7_finseq_1(k1_finseq_3(A,C),k1_finseq_3(B,C))))))) # label(t80_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4591 (all A (v4_ordinal2(A) -> (A != np__0 -> k9_finseq_1(A) = k14_finseq_1(k1_tarski(A))))) # label(t50_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4592 (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 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]. 43.87/42.76 4593 (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]. 43.87/42.76 4594 (all A (v4_ordinal2(A) -> (-r2_hidden(A,k2_finseq_1(A)) <-> k2_finseq_1(A) = k1_xboole_0))) # label(t7_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4595 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k2_finseq_1(k2_xcmplx_0(A,B)) -> np__0 = B))))) # label(t18_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4596 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (k1_finseq_3(A,k1_tarski(B)) = A <-> -r2_hidden(B,k2_relat_1(A)))))) # label(t77_finseq_3) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4597 (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,B) & r1_zfrefle1(A,C) -> r1_zfrefle1(A,k4_subset_1(k9_zf_lang,B,C))))))))) # label(t3_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4598 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r3_zfrefle1(A,B) <-> (all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> (all D (v1_funct_1(D) & m2_relset_1(D,k1_zf_lang,A) & v1_funct_2(D,k1_zf_lang,A) -> (r1_zf_model(B,k2_zf_lang1(k1_zf_lang,A,B,D),C) <-> r1_zf_model(A,D,C)))))) & r1_tarski(A,B)))))) # label(d3_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4599 (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]. 43.87/42.76 4600 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> -(r2_hidden(A,B) & (all C (-v1_xboole_0(C) -> -(r2_hidden(A,C) & r2_hidden(C,B) & v1_zf_model(C)))) & r2_hidden(k5_ordinal2,B)))) # label(t43_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4601 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> -r4_zfrefle1(k2_ordinal2(A),B))))) # label(t29_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4602 (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) -> -(r3_zfrefle1(D,A) & k4_classes1(C) = D & r2_hidden(B,C)))))) & r2_hidden(k5_ordinal2,A)))))) # label(t36_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4603 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (v1_ordinal1(B) & r2_zfrefle1(A,B) & v1_zf_model(A) -> v1_zf_model(B)))))) # label(t10_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4604 $T # label(dt_k1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4605 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> r3_zfrefle1(A,A))) # label(reflexivity_r3_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4606 (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]. 43.87/42.76 4607 $T # label(t18_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4608 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r4_zfrefle1(A,A))) # label(reflexivity_r4_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4609 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> r2_hidden(k4_classes1(B),A))))) # label(t33_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4610 (all A all B (v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) & v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) -> v3_ordinal1(A)))) # label(t19_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4611 (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) & D = k4_classes1(C) & r2_zfrefle1(D,A))))))))))) # label(t40_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4612 (all A (m2_finseq_1(A,k5_numbers) & v1_zf_lang(A) -> (exists B (v1_zf_lang(B) & m2_finseq_1(B,k5_numbers) & (all C (-v1_xboole_0(C) -> (r2_zf_model(C,A) <-> r2_zf_model(C,B)))) & k2_zf_model(B) = k1_xboole_0)))) # label(t6_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4613 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_classes2(B) & -v1_xboole_0(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]. 43.87/42.76 4614 (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]. 43.87/42.76 4615 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(k4_classes1(B) = C & r2_zfrefle1(C,A) & r4_zfrefle1(B,k5_ordinal2))))))))) # label(t41_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4616 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(r4_zfrefle1(B,k5_ordinal2) & v1_zf_model(C) & k4_classes1(B) = C))))) & r2_hidden(k5_ordinal2,A)))) # label(t42_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4617 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(r4_zfrefle1(A,k1_ordinal1(B)) & (all C (v3_ordinal1(C) -> k1_ordinal1(C) != A))))))) # label(t26_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4618 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) -> (v4_ordinal1(k1_relat_1(B)) & r1_ordinal2(A,B) & v2_ordinal2(B) -> r4_zfrefle1(A,k1_relat_1(B)) | k1_xboole_0 = k1_relat_1(B)))))) # label(t24_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4619 (all A -(r2_hidden(A,f1_s1_zfrefle1) & (all B -p1_s1_zfrefle1(A,B)))) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (r2_hidden(B,f1_s1_zfrefle1) -> p1_s1_zfrefle1(B,k1_funct_1(A,B)))) & k1_relat_1(A) = f1_s1_zfrefle1)) # label(s1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4620 (all A (-v1_xboole_0(A) -> r1_zfrefle1(A,k1_subset_1(k9_zf_lang)))) # label(t1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4621 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_tarski(B,C) & r1_zfrefle1(A,C) -> r1_zfrefle1(A,B)))))))) # label(t2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4622 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> ((all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> (r2_zf_model(B,C) <-> r2_zf_model(A,C)))) <-> r2_zfrefle1(A,B)))))) # label(t7_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4623 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> ((all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (k2_zf_model(C) = k1_xboole_0 -> (r2_zf_model(A,C) <-> r2_zf_model(B,C))))) <-> r2_zfrefle1(A,B)))))) # label(d2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4624 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r4_zfrefle1(A,B) & r4_zfrefle1(B,C) -> r4_zfrefle1(A,C)))))))) # label(t21_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4625 (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]. 43.87/42.76 4626 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(r4_zfrefle1(B,k5_ordinal2) & r3_zfrefle1(C,A) & C = k4_classes1(B))))))))) # label(t37_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4627 (all A (A = k1_zfrefle1 <-> (all B (-(B != k6_zf_model & B != k8_zf_model & k9_zf_model != B & B != k10_zf_model & (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> -(B = k11_zf_model(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))))) & k7_zf_model != B) & r2_hidden(B,k9_zf_lang) <-> r2_hidden(B,A))))) # label(d4_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4628 (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]. 43.87/42.76 4629 (all A (v3_ordinal1(A) -> (r4_zfrefle1(A,k1_xboole_0) -> k1_xboole_0 = A))) # label(t28_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4630 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) -> (v4_ordinal1(B) <-> v4_ordinal1(A))))))) # label(t27_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4631 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) & m2_relset_1(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) -> -((all D (m2_ordinal4(D,A) -> -(k2_ordinal4(A) = k4_ordinal4(A,D,k2_ordinal4(A)) & (all E (m1_ordinal4(E,A) -> (v4_ordinal1(E) -> k2_ordinal4(A) = E | k8_ordinal2(k2_ordinal1(D,E)) = k4_ordinal4(A,D,E)))) & (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)))))))) & v3_ordinal2(D) & v2_ordinal2(D)))) & r2_hidden(k1_card_1(B),k1_card_1(A))))))))) # label(t14_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4632 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) & r4_zfrefle1(B,A) -> B = A))))) # label(t23_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4633 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & v5_ordinal1(C) & k8_ordinal2(C) = A & v2_ordinal2(C) & r1_tarski(k2_relat_1(C),A) & B = k1_relat_1(C) & v1_ordinal2(C) & v1_funct_1(C))) <-> r4_zfrefle1(A,B)))))) # label(d5_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4634 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(A,B) <-> (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (r2_hidden(C,B) -> r2_zf_model(A,C))))))))) # label(d1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.76 4635 (all A (v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(A),k8_ordinal2(A)))) # label(t20_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4636 (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]. 43.87/42.77 4637 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(v2_ordinal2(C) & v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(r2_hidden(B,D) & D = k4_ordinal4(A,C,D)))) & r2_hidden(k5_ordinal2,A)))))))) # label(t30_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4638 $T # label(t11_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4639 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> r2_zfrefle1(A,A))) # label(reflexivity_r2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4640 (all A (v3_ordinal1(A) -> (all B (v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (v2_ordinal2(B) -> v2_ordinal2(k1_ordinal3(A,B))))))) # label(t15_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4641 (all A (v3_ordinal1(A) -> r4_zfrefle1(k1_ordinal1(A),k4_ordinal2))) # label(t25_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4642 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v2_relat_1(B) & v1_zf_refle(B,A) & m1_ordinal1(B,A) -> -((all C (m1_ordinal4(C,A) -> (all D (m1_ordinal4(D,A) -> (r2_hidden(C,D) -> r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D))))))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> k3_card_3(k2_ordinal1(B,C)) = k5_zf_refle(A,B,C) | C = k1_xboole_0))) & (all C (m2_ordinal4(C,A) -> -(v2_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))))) & v3_ordinal2(C)))) & r2_hidden(k5_ordinal2,A)))))) # label(t32_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4643 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m2_ordinal4(B,A) -> -(v3_ordinal2(B) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (k4_ordinal4(A,B,C) = C & k4_classes1(C) = D -> r3_zfrefle1(D,A) | k1_xboole_0 = C))))) & v2_ordinal2(B))))))) # label(t35_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4644 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_zf_refle(B,A) & m1_ordinal1(B,A) & v2_relat_1(B) -> -(r2_hidden(k5_ordinal2,A) & (all C (m2_ordinal4(C,A) -> -(v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> (k4_ordinal4(A,C,D) = D -> r2_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B)) | k1_xboole_0 = D))) & v2_ordinal2(C)))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> k5_zf_refle(A,B,C) = k3_card_3(k2_ordinal1(B,C)) | k1_xboole_0 = C))) & (all C (m1_ordinal4(C,A) -> (all D (m1_ordinal4(D,A) -> (r2_hidden(C,D) -> r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D)))))))))))) # label(t38_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4645 (all A (-v1_xboole_0(A) -> (v1_zf_model(A) -> r1_zfrefle1(A,k2_zfrefle1)))) # label(t4_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4646 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m2_ordinal4(B,A) -> -(v3_ordinal2(B) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (k4_ordinal4(A,B,C) = C & D = k4_classes1(C) -> r2_zfrefle1(D,A) | C = k1_xboole_0))))) & v2_ordinal2(B)))) & r2_hidden(k5_ordinal2,A)))) # label(t39_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4647 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_relat_1(C) -> k1_ordinal3(A,k2_ordinal1(C,B)) = k2_ordinal1(k1_ordinal3(A,C),B))))))) # label(t16_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4648 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(r2_hidden(k5_ordinal2,A) & v2_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(r4_zfrefle1(D,k5_ordinal2) & D = k4_ordinal4(A,C,D) & r2_hidden(B,D)))) & v3_ordinal2(C)))))))) # label(t31_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4649 (all A all B (k1_card_1(B) = k1_card_1(A) | r2_wellord2(A,B) -> r2_wellord2(k1_zfmisc_1(A),k1_zfmisc_1(B)) & k1_card_1(k1_zfmisc_1(B)) = k1_card_1(k1_zfmisc_1(A)))) # label(t13_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4650 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_zfrefle1(A,B) <-> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(B,C) <-> r1_zfrefle1(A,C))))))))) # label(t8_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4651 (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]. 43.87/42.77 4652 (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]. 43.87/42.77 4653 (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]. 43.87/42.77 4654 $T # label(dt_k1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4655 $T # label(t32_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4656 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (k16_qc_lang1(A) = B <-> (exists C ((exists D (m2_subset_1(D,k5_qc_lang1,k7_qc_lang1(C)) & (exists E (B = E & k9_qc_lang1(D,E) = A & m1_qc_lang1(E,C))))) & m2_subset_1(C,k1_numbers,k5_numbers))))))))) # label(d22_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4657 $T # label(t29_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4658 $T # label(t30_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4659 (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) -> k9_qc_lang1(A,B) = k7_finseq_1(k12_finseq_1(k5_qc_lang1,A),B)))))) # label(d11_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4660 (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]. 43.87/42.77 4661 $T # label(t25_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4662 (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]. 43.87/42.77 4663 (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]. 43.87/42.77 4664 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> ((exists C (m1_subset_1(C,k8_qc_lang1) & k14_qc_lang1(B,C) = A)) <-> k20_qc_lang1(A) = B)))))) # label(d26_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4665 $T # label(t38_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4666 (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]. 43.87/42.77 4667 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k18_qc_lang1(A) = B <-> (exists C (k13_qc_lang1(B,C) = A & m1_subset_1(C,k8_qc_lang1))))))))) # label(d24_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4668 (all A all B (m2_finseq_1(B,k1_qc_lang1) -> (r2_hidden(A,a_1_1_qc_lang1(B)) <-> (exists C (r1_xreal_0(C,k3_finseq_1(B)) & r2_hidden(k1_funct_1(B,C),k2_qc_lang1) & r1_xreal_0(np__1,C) & A = k1_funct_1(B,C) & m2_subset_1(C,k1_numbers,k5_numbers)))))) # label(fraenkel_a_1_1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4669 $T # label(t40_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.77 4670 $T # label(dt_k5_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4671 $T # label(t42_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4672 (all A (m1_subset_1(A,k2_qc_lang1) -> k1_tarski(A) = k23_qc_lang1(A))) # label(redefinition_k23_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4673 $T # label(t28_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4674 $T # label(t44_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4675 (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]. 43.87/42.78 4676 (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]. 43.87/42.78 4677 $T # label(t8_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4678 $T # label(t18_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4679 (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_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_finseq_1(C,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(C,A) -> r2_hidden(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__3,np__0)),k12_finseq_1(k2_qc_lang1,B)),C),A)))))) & (all B (m2_finseq_1(B,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (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_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)))) & 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]. 43.87/42.78 4680 $T # label(t15_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4681 $T # label(t5_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4682 $T # label(t17_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4683 $T # label(t39_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4684 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k7_qc_lang1(A) = a_1_0_qc_lang1(A))) # label(d7_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4685 (all A (m1_subset_1(A,k8_qc_lang1) -> -(v5_qc_lang1(A) & r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k21_qc_lang1(A))))))) # label(t47_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4686 (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 (A = k9_qc_lang1(C,D) & m1_qc_lang1(D,B))))) & m2_subset_1(B,k1_numbers,k5_numbers)))))) # label(d17_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4687 $T # label(t6_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4688 (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]. 43.87/42.78 4689 (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]. 43.87/42.78 4690 (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]. 43.87/42.78 4691 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> (all B (m1_subset_1(B,k5_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & (exists D (m1_qc_lang1(D,C) & (exists E (k9_qc_lang1(E,D) = A & B = E & m2_subset_1(E,k5_qc_lang1,k7_qc_lang1(C)))))))) <-> k15_qc_lang1(A) = B)))))) # label(d21_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4692 (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))) <-> B = k19_qc_lang1(A))))))) # label(d25_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4693 p1_s1_qc_lang1(k11_qc_lang1) & (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) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (p1_s1_qc_lang1(A) & p1_s1_qc_lang1(B) -> 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 (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> p1_s1_qc_lang1(k9_qc_lang1(B,C)))))))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s1_qc_lang1(A))) # label(s1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4694 (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]. 43.87/42.78 4695 $T # label(t41_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4696 (all A (r2_hidden(A,a_0_0_qc_lang1) <-> (exists B exists C (m2_subset_1(B,k1_numbers,k5_numbers) & k4_tarski(B,C) = A & r1_xreal_0(np__7,B) & m2_subset_1(C,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_0_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4697 (exists A (f2_s3_qc_lang1 = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k11_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) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f6_s3_qc_lang1(B,k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k21_qc_lang1(B)))) & (v4_qc_lang1(B) -> 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) -> f4_s3_qc_lang1(k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k17_qc_lang1(B))) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)))) & m2_relset_1(A,k8_qc_lang1,f1_s3_qc_lang1) & v1_funct_2(A,k8_qc_lang1,f1_s3_qc_lang1) & v1_funct_1(A))) # label(s3_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4698 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> k6_qc_lang1(B) = A)))) # label(t35_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4699 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (k7_finseq_1(k10_qc_lang1(B),C) = k10_qc_lang1(A) -> k10_qc_lang1(B) = k10_qc_lang1(A)))))))) # label(t37_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4700 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,a_1_0_qc_lang1(B)) <-> (exists C (A = C & B = k6_qc_lang1(C) & m1_subset_1(C,k5_qc_lang1)))))) # label(fraenkel_a_1_0_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4701 $T # label(t14_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4702 $T # label(t11_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4703 (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(k18_qc_lang1(A)))) & -r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k19_qc_lang1(A))))))) # label(t46_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4704 (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]. 43.87/42.78 4705 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__3,np__0)),k12_finseq_1(k2_qc_lang1,A)),k10_qc_lang1(B)) = k14_qc_lang1(A,B))))) # label(d16_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4706 (all A (-v1_xboole_0(A) -> (v1_qc_lang1(A) & (all B (-v1_xboole_0(B) -> (v1_qc_lang1(B) -> r1_tarski(A,B)))) <-> k8_qc_lang1 = A))) # label(d10_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4707 (all A (m1_subset_1(A,k8_qc_lang1) -> -(A != k11_qc_lang1 & -v2_qc_lang1(A) & -v4_qc_lang1(A) & -v5_qc_lang1(A) & -v3_qc_lang1(A)))) # label(t33_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4708 (all A (m1_subset_1(A,k8_qc_lang1) -> (v6_qc_lang1(A) <-> k1_xboole_0 = k24_qc_lang1(A)))) # label(d30_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4709 $T # label(t3_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4710 (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]. 43.87/42.78 4711 $T # label(t27_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4712 (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]. 43.87/42.78 4713 (all A (m1_subset_1(A,k5_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_mcart_1(A) = k1_nat_1(np__7,B) <-> B = k6_qc_lang1(A)))))) # label(d6_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4714 (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]. 43.87/42.78 4715 (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]. 43.87/42.78 4716 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (k13_qc_lang1(B,C) = A & m1_subset_1(C,k8_qc_lang1))))) <-> v4_qc_lang1(A)))) # label(d19_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4717 (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]. 43.87/42.78 4718 $T # label(t20_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4719 (all A (m1_subset_1(A,k8_qc_lang1) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(k11_qc_lang1),np__1)) = np__0 & -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -m2_subset_1(k1_funct_1(k10_qc_lang1(A),np__1),k5_qc_lang1,k7_qc_lang1(B)))) & v2_qc_lang1(A)) & (v3_qc_lang1(A) -> np__1 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & (v5_qc_lang1(A) -> np__3 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & (v4_qc_lang1(A) -> np__2 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))))) # label(t49_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4720 (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]. 43.87/42.78 4721 $T # label(t7_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4722 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k13_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k13_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4723 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> m1_subset_1(k14_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k14_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4724 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k21_qc_lang1(A) = B <-> (exists C (A = k14_qc_lang1(C,B) & m2_subset_1(C,k1_qc_lang1,k2_qc_lang1))))))))) # label(d27_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4725 $T # label(t19_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4726 (all A (m1_subset_1(A,k8_qc_lang1) -> k10_qc_lang1(A) = A)) # label(d12_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.78 4727 $T # label(t12_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4728 $T # label(t24_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4729 $T # label(t26_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4730 (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]. 43.87/42.79 4731 (all A all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & r2_hidden(k1_funct_1(k16_qc_lang1(B),C),k2_qc_lang1) & r1_xreal_0(C,k3_finseq_1(k16_qc_lang1(B))) & r1_xreal_0(np__1,C) & k1_funct_1(k16_qc_lang1(B),C) = A)) <-> r2_hidden(A,a_1_2_qc_lang1(B))))) # label(fraenkel_a_1_2_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4732 $T # label(t16_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4733 (all A (m1_subset_1(A,k8_qc_lang1) -> (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__1 -> v3_qc_lang1(A)) & (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)) & (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__2 -> v4_qc_lang1(A)) & (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__0 -> A = k11_qc_lang1))) # label(t36_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4734 (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]. 43.87/42.79 4735 $T # label(t9_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4736 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) != np__0 & np__1 != k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) & np__3 != k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) & np__2 != k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))))) # label(t50_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4737 (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]. 43.87/42.79 4738 (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]. 43.87/42.79 4739 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) <-> (exists B (k12_qc_lang1(B) = A & m1_subset_1(B,k8_qc_lang1)))))) # label(d18_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4740 $T # label(t31_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4741 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1)) -> ((exists C (v1_funct_2(C,k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1)) & m2_relset_1(C,k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1)) & (all D (m1_subset_1(D,k8_qc_lang1) -> k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k11_qc_lang1) = k1_xboole_0 & (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)) & (v3_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,k17_qc_lang1(D))) & (v2_qc_lang1(D) -> k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D) = a_1_2_qc_lang1(D)))) & B = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,A) & v1_funct_1(C))) <-> k24_qc_lang1(A) = B))))) # label(d29_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4742 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (m1_qc_lang1(B,A) <-> A = k3_finseq_1(B)))))) # label(d8_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4743 (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]. 43.87/42.79 4744 (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]. 43.87/42.79 4745 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) <-> (exists B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) & (exists C (A = k14_qc_lang1(B,C) & m1_subset_1(C,k8_qc_lang1)))))))) # label(d20_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4746 (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]. 43.87/42.79 4747 $T # label(t43_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4748 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> p1_s2_qc_lang1(A)) & (v5_qc_lang1(A) & p1_s2_qc_lang1(k21_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(k17_qc_lang1(A)) & v3_qc_lang1(A) -> p1_s2_qc_lang1(A)) & p1_s2_qc_lang1(k11_qc_lang1))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s2_qc_lang1(A))) # label(s2_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4749 $T # label(t22_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4750 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> np__0 != k1_mcart_1(B) & k1_mcart_1(B) != np__1 & np__3 != k1_mcart_1(B) & k1_mcart_1(B) != np__2)))) # label(t48_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4751 $T # label(t13_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4752 (all A (m1_subset_1(A,k8_qc_lang1) -> -(v2_qc_lang1(A) & v4_qc_lang1(A)) & -(v3_qc_lang1(A) & v4_qc_lang1(A)) & -(v5_qc_lang1(A) & v3_qc_lang1(A)) & -(v4_qc_lang1(A) & v5_qc_lang1(A)) & -(v5_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]. 43.87/42.79 4753 (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]. 43.87/42.79 4754 (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]. 43.87/42.79 4755 (all A (m1_subset_1(A,k8_qc_lang1) -> (r2_qc_lang2(A,k1_qc_lang2) <-> A = k11_qc_lang1 | A = k1_qc_lang2))) # label(t101_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4756 (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]. 43.87/42.79 4757 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> k2_xboole_0(k2_xboole_0(k15_qc_lang2(k18_qc_lang1(A)),k15_qc_lang2(k19_qc_lang1(A))),k1_tarski(A)) = k15_qc_lang2(A)))) # label(t118_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4758 (all A all B all C (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(C,k8_qc_lang1) & m1_subset_1(B,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]. 43.87/42.79 4759 $T # label(t70_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4760 (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]. 43.87/42.79 4761 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k14_qc_lang1(F,E) = k8_qc_lang2(A,B,C,D) -> E = k6_qc_lang2(B,C,D) & A = F))))))))))))) # label(t28_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4762 $T # label(t41_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4763 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(k12_qc_lang1(B),k2_qc_lang2(A,B)) & r3_qc_lang2(B,k2_qc_lang2(A,B)) & r3_qc_lang2(A,k2_qc_lang2(A,B)) & r3_qc_lang2(k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B)))))) # label(t93_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4764 (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]. 43.87/42.79 4765 (all A all B all C all D (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(C,k2_qc_lang1) -> m1_subset_1(k9_qc_lang2(A,B,C,D),k8_qc_lang1))) # label(dt_k9_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4766 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v5_qc_lang1(A) -> (r1_qc_lang2(B,A) <-> B = k21_qc_lang1(A))))))) # label(t67_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4767 $T # label(t37_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4768 (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]. 43.87/42.79 4769 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_hidden(B,k15_qc_lang2(C)) -> r2_hidden(A,k15_qc_lang2(C)) | -r1_qc_lang2(A,B) & -r3_qc_lang2(A,B) & -r2_qc_lang2(A,B)))))))) # label(t120_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4770 (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 ((exists D (k3_finseq_1(D) = C & B = k1_funct_1(D,C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> -(-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 & k1_funct_1(D,k1_nat_1(E,np__1)) = G & r1_qc_lang2(F,G)))))) & r1_xreal_0(np__1,E)))) & A = k1_funct_1(D,np__1) & r1_xreal_0(np__1,C) & v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D))) & m2_subset_1(C,k1_numbers,k5_numbers)))))))) # label(d21_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4771 (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) -> D = C & G = H & A = B & F = E))))))))))))))))) # label(t30_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4772 (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) & r3_qc_lang2(A,B) -> r3_qc_lang2(A,C)))))))) # label(t76_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4773 $T # label(t15_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4774 (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]. 43.87/42.79 4775 (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]. 43.87/42.79 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) -> 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]. 43.87/42.79 4777 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)),k3_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(A),k3_qc_lang2(A,B)) & r3_qc_lang2(B,k3_qc_lang2(A,B)) & r3_qc_lang2(A,k3_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(B),k3_qc_lang2(A,B)))))) # label(t94_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4778 (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]. 43.87/42.79 4779 $T # label(d17_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4780 (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(C,D) = k2_qc_lang2(A,B) -> C = A & B = D))))))))) # label(t17_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4781 (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]. 43.87/42.79 4782 (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]. 43.87/42.79 4783 $T # label(t102_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4784 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(A,B) & r1_xreal_0(k3_finseq_1(k10_qc_lang1(B)),k3_finseq_1(k10_qc_lang1(A)))))))) # label(t74_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4785 (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]. 43.87/42.79 4786 (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]. 43.87/42.79 4787 (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) -> A = B))))) # label(t1_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4788 (all A (m1_subset_1(A,k8_qc_lang1) -> k13_qc_lang2(A) = k12_qc_lang2(k18_qc_lang1(A)))) # label(d18_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4789 (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)) & k14_qc_lang1(A,k6_qc_lang2(B,C,D)) = k8_qc_lang2(A,B,C,D))))))))) # label(t26_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4790 (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]. 43.87/42.79 4791 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (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) -> E = k7_qc_lang2(B,C,D) & A = F))))))))))))) # label(t31_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4792 $T # label(t40_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4793 (all A all B all C (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(C,k8_qc_lang1) & m1_subset_1(B,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]. 43.87/42.79 4794 (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]. 43.87/42.79 4795 $T # label(t44_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4796 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) & B != A <-> r3_qc_lang2(A,B)))))) # label(d22_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4797 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) <-> (exists B ((exists C (m1_subset_1(C,k8_qc_lang1) & k2_qc_lang2(B,C) = A)) & m1_subset_1(B,k8_qc_lang1)))))) # label(d11_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4798 (all A (m1_subset_1(A,k8_qc_lang1) -> (A = k11_qc_lang1 <-> r1_qc_lang2(A,k1_qc_lang2)))) # label(t61_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4799 $T # label(t39_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4800 (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]. 43.87/42.79 4801 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,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]. 43.87/42.79 4802 (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) -> k13_qc_lang1(C,A) != B & B != k13_qc_lang1(A,C))) & (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]. 43.87/42.79 4803 $T # label(t68_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4804 $T # label(t36_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4805 $T # label(t42_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4806 $T # label(t9_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 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) -> (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) -> C = D & E = F & B = A & G = H))))))))))))))))) # label(t27_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4808 $T # label(t35_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4809 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> A = k13_qc_lang2(k4_qc_lang2(A,B)) & B = k14_qc_lang2(k4_qc_lang2(A,B)) & k2_qc_lang2(A,B) = k18_qc_lang1(k4_qc_lang2(A,B)) & k19_qc_lang1(k4_qc_lang2(A,B)) = k2_qc_lang2(B,A))))) # label(t47_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4810 (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) -> (r1_qc_lang2(A,k14_qc_lang1(C,B)) <-> A = B))))))) # label(t63_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4811 (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]. 43.87/42.79 4812 (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]. 43.87/42.79 4813 (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]. 43.87/42.79 4814 $T # label(t11_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4815 (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(B,D) = k5_qc_lang2(A,C) -> C = D & A = B))))))))) # label(t19_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 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) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k3_qc_lang2(C,D) = k3_qc_lang2(A,B) -> C = A & D = B))))))))) # label(t16_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4817 (all A (m1_subset_1(A,k8_qc_lang1) -> (k11_qc_lang1 = A | v2_qc_lang1(A) <-> k1_tarski(A) = k15_qc_lang2(A)))) # label(t116_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4818 (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) & k5_qc_lang2(A,k5_qc_lang2(B,C)) = k7_qc_lang2(A,B,C))))))) # label(t20_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4819 (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]. 43.87/42.79 4820 (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) -> v5_qc_lang1(k8_qc_lang2(A,B,C,D)) & A = k20_qc_lang1(k8_qc_lang2(A,B,C,D)) & k21_qc_lang1(k8_qc_lang2(A,B,C,D)) = k6_qc_lang2(B,C,D))))))))) # label(t33_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4821 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> (r2_qc_lang2(A,k9_qc_lang1(C,D)) <-> A = k9_qc_lang1(C,D)))))))))) # label(t100_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4822 (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]. 43.87/42.79 4823 (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]. 43.87/42.79 4824 (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]. 43.87/42.79 4825 (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]. 43.87/42.79 4826 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v3_qc_lang1(A) -> (k17_qc_lang1(A) = B <-> r1_qc_lang2(B,A))))))) # label(t65_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4827 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_qc_lang2(B,A) & r3_qc_lang2(A,B)))))) # label(t82_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4828 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k17_qc_lang1(k5_qc_lang2(A,B)) = k14_qc_lang1(A,k12_qc_lang1(B)))))) # label(t48_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4829 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k13_qc_lang1(k2_qc_lang2(A,B),k2_qc_lang2(B,A)) = k4_qc_lang2(A,B))))) # label(d4_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4830 (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) -> (k6_qc_lang2(A,B,D) = k14_qc_lang1(C,E) -> A = C & k14_qc_lang1(B,D) = E))))))))))) # label(t22_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4831 (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]. 43.87/42.79 4832 (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]. 43.87/42.79 4833 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> A = k4_qc_lang2(k13_qc_lang2(A),k14_qc_lang2(A))))) # label(t55_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4834 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang2(k2_qc_lang2(A,B)) = A & B = k11_qc_lang2(k2_qc_lang2(A,B)) & k13_qc_lang1(A,k12_qc_lang1(B)) = k17_qc_lang1(k2_qc_lang2(A,B)))))) # label(t46_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4835 $T # label(dt_k15_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4836 (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]. 43.87/42.79 4837 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> v5_qc_lang1(k6_qc_lang2(A,B,C)) & k21_qc_lang1(k6_qc_lang2(A,B,C)) = k14_qc_lang1(B,C) & A = k20_qc_lang1(k6_qc_lang2(A,B,C)))))))) # label(t25_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4838 (all A (m1_subset_1(A,k8_qc_lang1) -> k11_qc_lang2(A) = k17_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))))) # label(d15_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4839 (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) -> (k7_qc_lang2(A,B,D) = k5_qc_lang2(C,E) -> k5_qc_lang2(B,D) = E & C = A))))))))))) # label(t24_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4840 (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]. 43.87/42.79 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(D,F,B) = k7_qc_lang2(C,E,A) -> C = D & B = A & E = F))))))))))))) # label(t23_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4842 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k2_qc_lang2(k12_qc_lang1(A),B) = k3_qc_lang2(A,B))))) # label(t14_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4843 (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]. 43.87/42.79 4844 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k5_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k5_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4845 (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,C) | r2_qc_lang2(A,B) <-> r3_qc_lang2(A,k13_qc_lang1(B,C))))))))) # label(t89_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4846 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> k1_tarski(k9_qc_lang1(B,C)) = k15_qc_lang2(k9_qc_lang1(B,C)))))))) # label(t108_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4847 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k13_qc_lang1(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k1_tarski(k13_qc_lang1(A,B))))))) # label(t111_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4848 (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]. 43.87/42.79 4849 (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]. 43.87/42.79 4850 (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]. 43.87/42.79 4851 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> r2_qc_lang2(A,A))) # label(reflexivity_r2_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4852 (all A (m1_subset_1(A,k8_qc_lang1) -> k2_xboole_0(k15_qc_lang2(A),k1_tarski(k12_qc_lang1(A))) = k15_qc_lang2(k12_qc_lang1(A)))) # label(t110_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4853 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k6_qc_lang2(D,F,B) = k6_qc_lang2(C,E,A) -> C = D & A = B & F = E))))))))))))) # label(t21_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4854 (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]. 43.87/42.79 4855 (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]. 43.87/42.79 4856 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> -r3_qc_lang2(A,A))) # label(irreflexivity_r3_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4857 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) -> v3_qc_lang1(A) & v4_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(k18_qc_lang1(k17_qc_lang1(A))) & v3_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))) & v2_qc_lang2(A)))) # label(t49_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4858 (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]. 43.87/42.79 4859 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> 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)) & k10_qc_lang2(k3_qc_lang2(A,B)) = A)))) # label(t45_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4860 (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) -> B = D & A = C))))))))) # label(t3_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4861 (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) -> (k8_qc_lang2(A,B,C,D) = k6_qc_lang2(F,G,E) -> F = A & k14_qc_lang1(C,D) = E & G = B))))))))))))))) # label(t29_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4862 (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]. 43.87/42.79 4863 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) -> v3_qc_lang1(A) & v3_qc_lang1(k21_qc_lang1(k17_qc_lang1(A))) & v5_qc_lang1(k17_qc_lang1(A))))) # label(t52_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4864 $T # label(t10_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4865 (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]. 43.87/42.79 4866 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B ((all C (r2_hidden(C,B) <-> (exists D (m1_subset_1(D,k8_qc_lang1) & r2_qc_lang2(D,A) & D = C)))) <-> B = k15_qc_lang2(A))))) # label(d23_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4867 (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 | C = A <-> r1_qc_lang2(A,k13_qc_lang1(B,C))))))))) # label(t62_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4868 (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]. 43.87/42.79 4869 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(B,A) & r2_qc_lang2(A,B) -> A = B))))) # label(t78_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4870 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -((all C (m1_subset_1(C,k8_qc_lang1) -> -r1_qc_lang2(C,B))) & r3_qc_lang2(A,B)))))) # label(t75_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4871 (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]. 43.87/42.79 4872 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (A = k4_qc_lang2(B,C) & m1_subset_1(C,k8_qc_lang1))))) <-> v3_qc_lang2(A)))) # label(d12_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4873 $T # label(t69_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4874 (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) <-> k19_qc_lang1(A) = B | B = k18_qc_lang1(A))))))) # label(t66_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4875 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) <-> (exists B ((exists C (k3_qc_lang2(B,C) = A & m1_subset_1(C,k8_qc_lang1))) & m1_subset_1(B,k8_qc_lang1)))))) # label(d10_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4876 (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]. 43.87/42.79 4877 (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]. 43.87/42.79 4878 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> k2_xboole_0(k15_qc_lang2(A),k1_tarski(k14_qc_lang1(B,A))) = k15_qc_lang2(k14_qc_lang1(B,A)))))) # label(t112_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4879 $T # label(t43_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4880 $T # label(t12_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4881 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(B,C) & r2_qc_lang2(A,B) -> r2_qc_lang2(A,C)))))))) # label(t77_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4882 (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]. 43.87/42.79 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 (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]. 43.87/42.79 4884 $T # label(t34_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4885 (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]. 43.87/42.79 4886 (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)) & -(r3_qc_lang2(A,B) & r1_qc_lang2(B,C)) & -(r1_qc_lang2(A,B) & r3_qc_lang2(B,C)) & -(r2_qc_lang2(B,C) & r1_qc_lang2(A,B)) & -(r2_qc_lang2(B,C) & r3_qc_lang2(A,B))) -> r3_qc_lang2(A,C)))))))) # label(t83_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4887 $T # label(t57_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4888 (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) -> D = C & A = B))))))))) # label(t6_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4889 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) -> k2_qc_lang2(k12_qc_lang2(A),k11_qc_lang2(A)) = A))) # label(t54_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4890 (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]. 43.87/42.79 4891 (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)) & B = k21_qc_lang1(k14_qc_lang1(A,B)))))) # label(t8_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4892 (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]. 43.87/42.79 4893 (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]. 43.87/42.79 4894 (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]. 43.87/42.79 4895 $T # label(t106_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4896 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) -> v3_qc_lang1(A) & v4_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(k19_qc_lang1(k17_qc_lang1(A)))))) # label(t50_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4897 (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]. 43.87/42.79 4898 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k3_qc_lang2(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k2_enumset1(k12_qc_lang1(B),k12_qc_lang1(A),k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)),k3_qc_lang2(A,B))))))) # label(t114_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4899 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (A = B <-> r1_qc_lang2(A,k12_qc_lang1(B))))))) # label(t60_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4900 (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]. 43.87/42.79 4901 (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]. 43.87/42.79 4902 (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]. 43.87/42.79 4903 (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]. 43.87/42.79 4904 (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]. 43.87/42.79 4905 (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 (k5_qc_lang2(B,C) = A & m1_subset_1(C,k8_qc_lang1)))))))) # label(d13_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4906 (all A (m1_subset_1(A,k8_qc_lang1) -> k18_qc_lang1(k17_qc_lang1(A)) = k12_qc_lang2(A))) # label(d16_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4907 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k18_qc_lang1(k13_qc_lang1(A,B)) = A & B = k19_qc_lang1(k13_qc_lang1(A,B)))))) # label(t5_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4908 (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) -> k17_cqc_lang(B,A) = k12_qc_lang1(k17_cqc_lang(k17_qc_lang1(B),A))))))) # label(t31_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.87/42.79 4909 (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) & f6_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k10_cqc_lang(A)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k15_cqc_lang(C,A)) = f8_s3_cqc_lang(C,k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)) & 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)))))))))))))) & (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)) -> 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)) & 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,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,k8_cqc_lang(D,F,E)) = f5_s3_cqc_lang(D,F,E))))))))))))) & 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]. 43.87/42.79 4910 (all A all B all C k1_binop_1(k9_funct_2(A,B,C),A,B) = C) # label(t43_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4911 $T # label(dt_k3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4912 (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]. 43.97/42.80 4913 $T # label(t3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4914 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s9_cqc_lang) -> (B = f2_s9_cqc_lang(A) <-> (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s9_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s9_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k9_cqc_lang) = f3_s9_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)) -> f7_s9_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k15_cqc_lang(F,D)) & f6_s9_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,E)) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k11_cqc_lang(D,E)) & 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)) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s9_cqc_lang(G,I,H))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,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]. 43.97/42.80 4915 (all A (m1_subset_1(A,f1_s4_cqc_lang) -> (all B (m1_subset_1(B,f1_s4_cqc_lang) -> -((exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) = 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 (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> 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)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k15_cqc_lang(F,D)) = f7_s4_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k10_cqc_lang(D)) = f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) & f4_s4_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & f3_s4_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k9_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s4_cqc_lang))) & A != B & (exists C (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)) -> f4_s4_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k8_cqc_lang(G,I,H)) & 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)) & f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k10_cqc_lang(D)))))))))))))) & 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) & v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & v1_funct_1(C)))))))) # label(s4_cqc_lang_AndLHS) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4916 (exists A ((exists B (v1_funct_2(B,k7_cqc_lang,f1_s4_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k9_cqc_lang) = f3_s4_cqc_lang & (all C (m2_subset_1(C,k8_qc_lang1,k7_cqc_lang) -> (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (v1_cqc_lang(G,F) & m1_qc_lang1(G,F) -> (all H (m2_subset_1(H,k5_qc_lang1,k7_qc_lang1(F)) -> k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k8_cqc_lang(F,H,G)) = f4_s4_cqc_lang(F,H,G) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k10_cqc_lang(C)) = f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C)) & f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k11_cqc_lang(C,D)) & 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,k15_cqc_lang(E,C)))))))))))))) & 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_1(B))) & m1_subset_1(A,f1_s4_cqc_lang))) # label(s4_cqc_lang_AndRHS) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4917 (all A ((exists B (B = A & k5_qc_lang3(B) = k1_xboole_0 & k1_xboole_0 = k6_qc_lang3(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]. 43.97/42.80 4918 (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]. 43.97/42.80 4919 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k7_qc_lang1(A)) & m1_qc_lang1(C,A) & v1_cqc_lang(C,A) -> k8_cqc_lang(A,B,C) = k9_qc_lang1(B,C))) # label(redefinition_k8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4920 (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]. 43.97/42.80 4921 $T # label(t8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4922 (all A all B all C k9_funct_2(A,B,C) = k3_cqc_lang(k4_tarski(A,B),C)) # label(t42_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4923 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v2_qc_lang1(B) -> k9_qc_lang1(k15_qc_lang1(B),k4_cqc_lang(k16_qc_lang1(B),k6_cqc_lang(k3_qc_lang3(np__0),A))) = k17_cqc_lang(B,A)))))) # label(t29_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4924 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> k17_cqc_lang(B,A) = B)))) # label(t40_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4925 (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) & (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,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)) & 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,k15_cqc_lang(F,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,k10_cqc_lang(D)) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s5_cqc_lang(G,I,H))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k9_cqc_lang) = f3_s5_cqc_lang & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,A) = B & v1_funct_2(C,k7_cqc_lang,f1_s5_cqc_lang))) <-> B = f2_s5_cqc_lang(A)))))) -> f2_s5_cqc_lang(k9_cqc_lang) = f3_s5_cqc_lang # label(s5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4926 (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]. 43.97/42.80 4927 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (B != A -> k17_cqc_lang(k14_qc_lang1(A,C),B) = k14_qc_lang1(A,k17_cqc_lang(C,B))))))))) # label(t38_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4928 (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]. 43.97/42.80 4929 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s6_cqc_lang) -> ((exists C (m2_relset_1(C,k7_cqc_lang,f1_s6_cqc_lang) & B = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,A) & f2_s6_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k9_cqc_lang) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f4_s6_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k8_cqc_lang(G,I,H)) & k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k10_cqc_lang(D)) = f8_s6_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D)) & 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)) & 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)))))))))))))) & v1_funct_2(C,k7_cqc_lang,f1_s6_cqc_lang) & v1_funct_1(C))) <-> B = f3_s6_cqc_lang(A)))))) -> f4_s6_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang) = f3_s6_cqc_lang(k8_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang)) # label(s6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4930 (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]. 43.97/42.80 4931 (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 ((all E (m1_subset_1(E,k8_qc_lang1) -> (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)) & (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)) & (v2_qc_lang1(E) -> k9_qc_lang1(k15_qc_lang1(E),k4_cqc_lang(k16_qc_lang1(E),k6_cqc_lang(k3_qc_lang3(np__0),B))) = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E)) & k9_cqc_lang = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k9_cqc_lang))) & k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,A) = C & m2_relset_1(D,k8_qc_lang1,k8_qc_lang1) & v1_funct_2(D,k8_qc_lang1,k8_qc_lang1) & v1_funct_1(D))) <-> k17_cqc_lang(A,B) = C))))))) # label(d6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4932 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_qc_lang1(B,A) & v1_funct_1(C) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) -> m1_qc_lang1(k5_cqc_lang(A,B,C),A))) # label(dt_k5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4933 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k12_cqc_lang(A,B) = k2_qc_lang2(A,B))) # label(redefinition_k12_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4934 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s8_cqc_lang) -> (f2_s8_cqc_lang(A) = B <-> (exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s8_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_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)) -> k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k10_cqc_lang(D)) = f5_s8_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,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)) & k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k15_cqc_lang(F,D)) = f9_s8_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D)) & f4_s8_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & f3_s8_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k9_cqc_lang) & B = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,A)))))))) -> f2_s8_cqc_lang(k11_cqc_lang(f7_s8_cqc_lang,f8_s8_cqc_lang)) = f6_s8_cqc_lang(f2_s8_cqc_lang(f7_s8_cqc_lang),f2_s8_cqc_lang(f8_s8_cqc_lang)) # label(s8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4935 (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]. 43.97/42.80 4936 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> m2_subset_1(k16_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k16_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4937 (all A all B (v1_funct_1(B) & m1_relset_1(B,k4_qc_lang1,k1_qc_lang1) & m1_finseq_1(A,k1_qc_lang1) -> m2_finseq_1(k4_cqc_lang(A,B),k1_qc_lang1))) # label(dt_k4_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4938 (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]. 43.97/42.80 4939 (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) | A = k20_qc_lang1(B)))))) # label(t36_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4940 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(k13_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) & m2_subset_1(B,k8_qc_lang1,k7_cqc_lang)))))) # label(t19_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4941 (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) -> k17_cqc_lang(B,A) = k13_qc_lang1(k17_cqc_lang(k18_qc_lang1(B),A),k17_cqc_lang(k19_qc_lang1(B),A))))))) # label(t33_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4942 (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]. 43.97/42.80 4943 (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(k8_cqc_lang(D,F,E)) & (p1_s1_cqc_lang(A) & p1_s1_cqc_lang(B) -> p1_s1_cqc_lang(k11_cqc_lang(A,B))) & (p1_s1_cqc_lang(A) -> p1_s1_cqc_lang(k15_cqc_lang(C,A))) & (p1_s1_cqc_lang(A) -> p1_s1_cqc_lang(k10_cqc_lang(A))) & p1_s1_cqc_lang(k9_cqc_lang))))))))))))) -> (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> p1_s1_cqc_lang(A))) # label(s1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4944 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k13_cqc_lang(A,B) = k3_qc_lang2(A,B))) # label(redefinition_k13_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4945 (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]. 43.97/42.80 4946 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> k16_cqc_lang(A,B) = k5_qc_lang2(A,B))) # label(redefinition_k16_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4947 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (v1_cqc_lang(B,A) & m1_qc_lang1(B,A) <-> a_2_0_cqc_lang(A,B) = k1_xboole_0 & a_2_1_cqc_lang(A,B) = k1_xboole_0))))) # label(t15_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4948 (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]. 43.97/42.80 4949 (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]. 43.97/42.80 4950 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(k14_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(B,k8_qc_lang1,k7_cqc_lang)))))) # label(t23_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4951 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k11_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k11_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4952 (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]. 43.97/42.80 4953 (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) -> (F = k6_cqc_lang(C,B) & D = k4_cqc_lang(E,F) & r1_xreal_0(A,k3_finseq_1(E)) & r1_xreal_0(np__1,A) -> (C = k1_funct_1(E,A) -> k1_funct_1(D,A) = B) & (k1_funct_1(E,A) != C -> k1_funct_1(E,A) = k1_funct_1(D,A))))))))))))))) # label(t11_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4954 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k4_qc_lang2(A,B) = k14_cqc_lang(A,B))) # label(redefinition_k14_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4955 (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]. 43.97/42.80 4956 (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]. 43.97/42.80 4957 (all A (m2_finseq_1(A,k1_qc_lang1) -> (all B (v1_funct_1(B) & m2_relset_1(B,k4_qc_lang1,k1_qc_lang1) -> (all C (m2_finseq_1(C,k1_qc_lang1) -> (C = k4_cqc_lang(A,B) <-> k3_finseq_1(C) = k3_finseq_1(A) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_xreal_0(D,k3_finseq_1(A)) & r1_xreal_0(np__1,D) -> (-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))))))))))))) # label(d3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4958 (all A all B k1_funct_1(k3_cqc_lang(A,B),A) = B) # label(t6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4959 (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]. 43.97/42.80 4960 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) -> m1_subset_1(k17_cqc_lang(A,B),k8_qc_lang1))) # label(dt_k17_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4961 (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]. 43.97/42.80 4962 (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]. 43.97/42.80 4963 $T # label(t14_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4964 $T # label(t27_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4965 (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]. 43.97/42.80 4966 $T # label(t4_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4967 (all A all B all C all D all E (m1_subset_1(D,A) & m1_subset_1(E,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]. 43.97/42.80 4968 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,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]. 43.97/42.80 4969 (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]. 43.97/42.80 4970 (all A all B all C (m1_qc_lang1(C,B) & m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,a_2_0_cqc_lang(B,C)) <-> (exists D (A = k1_funct_1(C,D) & r1_xreal_0(D,k3_finseq_1(C)) & r2_hidden(k1_funct_1(C,D),k4_qc_lang1) & r1_xreal_0(np__1,D) & m2_subset_1(D,k1_numbers,k5_numbers)))))) # label(fraenkel_a_2_0_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4971 (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]. 43.97/42.80 4972 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k6_qc_lang3(B) = k6_qc_lang3(k17_cqc_lang(B,A)))))) # label(t41_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4973 (all A all B all C (m2_subset_1(B,k1_numbers,k5_numbers) & m1_qc_lang1(C,B) -> ((exists D (k1_funct_1(C,D) = A & r1_xreal_0(np__1,D) & r1_xreal_0(D,k3_finseq_1(C)) & r2_hidden(k1_funct_1(C,D),k3_qc_lang1) & m2_subset_1(D,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_2_1_cqc_lang(B,C))))) # label(fraenkel_a_2_1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4974 $T # label(t9_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4975 (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]. 43.97/42.80 4976 $T # label(t1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4977 $T # label(dt_k1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4978 (all A all B (k2_relat_1(k3_cqc_lang(A,B)) = k1_tarski(B) & k1_relat_1(k3_cqc_lang(A,B)) = k1_tarski(A))) # label(t5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4979 (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) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,A) = B & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k9_cqc_lang) = f3_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 (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_s7_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s7_cqc_lang(G,I,H) & f5_s7_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k10_cqc_lang(D)) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k11_cqc_lang(D,E)) = f7_s7_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,E)) & 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)))))))))))))) & m2_relset_1(C,k7_cqc_lang,f1_s7_cqc_lang)))))))) -> f5_s7_cqc_lang(f2_s7_cqc_lang(f6_s7_cqc_lang)) = f2_s7_cqc_lang(k10_cqc_lang(f6_s7_cqc_lang)) # label(s7_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4980 (all A all B (m1_subset_1(A,k4_qc_lang1) & m1_subset_1(B,k2_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]. 43.97/42.80 4981 $T # label(t25_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4982 (all A (m1_subset_1(A,k8_qc_lang1) -> (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) <-> k5_qc_lang3(A) = k1_xboole_0 & k1_xboole_0 = k6_qc_lang3(A)))) # label(t13_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4983 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> (k1_xboole_0 = a_2_0_cqc_lang(A,C) & k1_xboole_0 = a_2_1_cqc_lang(A,C) <-> m2_subset_1(k9_qc_lang1(B,C),k8_qc_lang1,k7_cqc_lang)))))))) # label(t17_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4984 (exists A (v1_funct_1(A) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k9_cqc_lang) = f2_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) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k10_cqc_lang(B)) = f4_s2_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B)) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k11_cqc_lang(B,C)) = 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)) & 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)))))))))))))) & m2_relset_1(A,k7_cqc_lang,f1_s2_cqc_lang) & v1_funct_2(A,k7_cqc_lang,f1_s2_cqc_lang))) # label(s2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4985 (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]. 43.97/42.80 4986 $T # label(t12_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4987 (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]. 43.97/42.80 4988 $T # label(t2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4989 (all A all B (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k7_cqc_lang) -> k14_qc_lang1(A,B) = k15_cqc_lang(A,B))) # label(redefinition_k15_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4990 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_qc_lang1(C,A) & v1_cqc_lang(C,A) & m1_subset_1(B,k7_qc_lang1(A)) -> m2_subset_1(k8_cqc_lang(A,B,C),k8_qc_lang1,k7_cqc_lang))) # label(dt_k8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4991 (all A all B all C (m1_qc_lang1(B,A) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & v1_funct_1(C) & 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]. 43.97/42.80 4992 $T # label(t26_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4993 (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) & A = k20_qc_lang1(B) -> B = k17_cqc_lang(B,A)))))) # label(t35_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4994 (all A all B all C all D all E (m1_subset_1(D,A) & m1_subset_1(E,A) & -v1_xboole_0(A) -> k2_cqc_lang(A,B,C,D,E) = k1_cqc_lang(B,C,D,E))) # label(redefinition_k2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4995 (all A (m1_subset_1(A,k5_numbers) -> (exists B (v1_finseq_1(B) & v1_cqc_lang(B,A) & v1_funct_1(B) & v1_relat_1(B) & m1_qc_lang1(B,A))))) # label(rc1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4996 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> -r2_hidden(k1_xboole_0,k2_relat_1(B)))) # label(t149_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4997 (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]. 43.97/42.80 4998 (exists A (m1_pboole(A,f1_s2_pboole) & (all B (r2_hidden(B,f1_s2_pboole) -> (all C (r2_hidden(C,k1_funct_1(f2_s2_pboole,B)) & p1_s2_pboole(B,C) <-> r2_hidden(C,k1_funct_1(A,B)))))))) # label(s2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 4999 (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]. 43.97/42.80 5000 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),B),B) & r6_pboole(A,k2_pboole(A,B,k3_pboole(A,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,B,C)),B))))) # label(t37_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5001 (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]. 43.97/42.80 5002 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5003 (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) & (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) <-> r6_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t29_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5004 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,k3_pboole(A,C,D)) <-> r1_pboole(A,B,C) & r1_pboole(A,B,D)))))))) # label(t8_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5005 (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]. 43.97/42.80 5006 (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]. 43.97/42.80 5007 (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]. 43.97/42.80 5008 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r6_pboole(A,B,C) -> r6_pboole(A,C,B)))) # label(symmetry_r6_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5009 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -((all D (m1_pboole(D,A) -> -(r1_pboole(A,D,C) & r1_pboole(A,D,B)))) & r4_pboole(A,B,C)))))) # label(t11_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5010 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k4_pboole(A,B,C) <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k4_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d9_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5011 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)) = k5_pboole(A,B,C))))) # label(d12_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5012 (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]. 43.97/42.80 5013 (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]. 43.97/42.80 5014 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (m4_pboole(C,A,B) <-> r2_pboole(A,C,B)))))) # label(d23_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5015 (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]. 43.97/42.80 5016 (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]. 43.97/42.80 5017 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) -> v1_relat_1(k13_pboole(A,B)) & v1_funcop_1(k13_pboole(A,B)) & v1_funct_1(k13_pboole(A,B)))) # label(dt_k13_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5018 (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]. 43.97/42.80 5019 $T # label(t31_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5020 $T # label(d1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5021 (all A all B all C (-v1_xboole_0(A) & v2_relat_1(B) & m1_subset_1(C,A) & m1_pboole(B,A) -> -v1_xboole_0(k1_funct_1(B,C)))) # label(fc2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.80 5022 (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]. 43.97/42.81 5023 (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]. 43.97/42.81 5024 (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]. 43.97/42.81 5025 $T # label(t93_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5026 (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]. 43.97/42.81 5027 (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]. 43.97/42.81 5028 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) & r1_pboole(A,B,D) -> r4_pboole(A,C,D)))))))) # label(t10_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5029 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (exists C (v1_funct_1(C) & v2_relat_1(C) & v1_relat_1(C) & m4_pboole(C,A,B))))) # label(rc5_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5030 (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]. 43.97/42.81 5031 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v3_relat_1(B) & r2_pboole(A,C,B) -> v3_relat_1(C)))))) # label(t142_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5032 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k11_pboole(A,B,C) = D <-> (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]. 43.97/42.81 5033 (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]. 43.97/42.81 5034 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> r2_pboole(A,B,B))) # label(reflexivity_r2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5035 (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]. 43.97/42.81 5036 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (all D (m3_pboole(D,A,B,C) -> v1_funcop_1(D))))) # label(cc3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5037 (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]. 43.97/42.81 5038 (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) & r4_pboole(A,B,C) -> r4_pboole(A,D,C)))))))) # label(t109_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5039 (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,k4_pboole(A,B,E),k4_pboole(A,C,D))))))))))) # label(t61_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5040 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,C) | r4_pboole(A,B,D) -> r4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t106_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5041 $T # label(t14_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5042 (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]. 43.97/42.81 5043 (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]. 43.97/42.81 5044 (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]. 43.97/42.81 5045 (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]. 43.97/42.81 5046 (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]. 43.97/42.81 5047 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_relat_1(A) -> v1_setfam_1(k2_relat_1(A))))) # label(t1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5048 (all A (v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_funcop_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)) -> k5_relat_1(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D))) <-> C = k13_pboole(A,B)))))))) # label(d24_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5049 (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]. 43.97/42.81 5050 (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]. 43.97/42.81 5051 (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]. 43.97/42.81 5052 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k3_pboole(A,C,B),k1_pboole(A)) & r2_pboole(A,B,C) -> r6_pboole(A,B,k1_pboole(A))))))) # label(t57_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5053 (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]. 43.97/42.81 5054 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k2_pboole(A,B,C),k1_pboole(A)) -> r6_pboole(A,C,k1_pboole(A)) & r6_pboole(A,B,k1_pboole(A))))))) # label(t54_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5055 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r7_pboole(A,B,B))) # label(reflexivity_r7_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5056 (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]. 43.97/42.81 5057 (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]. 43.97/42.81 5058 (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,B,D),k2_pboole(A,C,D)) & r2_pboole(A,k2_pboole(A,D,B),k2_pboole(A,D,C))))))))) # label(t20_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5059 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5060 (all A all B (m1_pboole(B,A) -> -(B != k1_pboole(A) & r5_pboole(A,B,B)))) # label(t122_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5061 (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]. 43.97/42.81 5062 (all A all B k1_xboole_0 = k1_funct_1(k1_pboole(B),A)) # label(t5_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5063 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (m1_pboole(B,A) <-> A = k1_relat_1(B)))) # label(d3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5064 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (exists C (m1_pboole(C,A) & r1_pboole(A,C,B))))) # label(t146_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5065 (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]. 43.97/42.81 5066 (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]. 43.97/42.81 5067 (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]. 43.97/42.81 5068 (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]. 43.97/42.81 5069 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D)))) <-> r2_pboole(A,B,C)))))) # label(d5_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5070 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> v1_funct_1(k6_pboole(A,B)) & -v3_relat_1(k6_pboole(A,B)) & v2_relat_1(k6_pboole(A,B)) & v1_relat_1(k6_pboole(A,B)))) # label(fc1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5071 $T # label(t125_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5072 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) <-> (all D (r2_hidden(D,A) -> r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d11_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5073 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (m2_pboole(C,A,B) <-> (all D (r2_hidden(D,A) -> m1_subset_1(k1_funct_1(C,D),k1_funct_1(B,D))))))))) # label(d17_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5074 (all A all B all C (-v1_xboole_0(A) & m1_pboole(C,A) & m1_pboole(B,A) -> (r3_pboole(A,B,C) <-> r1_pboole(A,B,C)))) # label(redefinition_r3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5075 (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]. 43.97/42.81 5076 (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]. 43.97/42.81 5077 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k2_pboole(A,B,C) = k2_pboole(A,C,B))) # label(commutativity_k2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5078 $T # label(t117_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5079 (all A -(f2_s1_pboole(A) = k1_xboole_0 & r2_hidden(A,f1_s1_pboole))) -> (exists A ((all B (r2_hidden(B,f1_s1_pboole) -> r2_hidden(k1_funct_1(A,B),f2_s1_pboole(B)))) & m1_pboole(A,f1_s1_pboole))) # label(s1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5080 (all A all B k2_funcop_1(A,B) = k10_pboole(A,B)) # label(redefinition_k10_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5081 (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]. 43.97/42.81 5082 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r1_pboole(A,D,C)))) <-> r7_pboole(A,B,C)))))) # label(d14_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5083 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,k2_pboole(A,C,B)),B) & r6_pboole(A,k3_pboole(A,k2_pboole(A,C,B),B),B) & r6_pboole(A,k3_pboole(A,k2_pboole(A,B,C),B),B) & r6_pboole(A,k3_pboole(A,B,k2_pboole(A,B,C)),B))))) # label(t36_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5084 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k5_pboole(A,B,k1_pboole(A)),B) & r6_pboole(A,k5_pboole(A,k1_pboole(A),B),B))) # label(t91_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5085 (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]. 43.97/42.81 5086 (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]. 43.97/42.81 5087 (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]. 43.97/42.81 5088 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k3_pboole(A,B,C) = k3_pboole(A,C,B))) # label(commutativity_k3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5089 (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]. 43.97/42.81 5090 (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]. 43.97/42.81 5091 (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]. 43.97/42.81 5092 (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]. 43.97/42.81 5093 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C k5_relat_1(k2_finseq_2(A,B),k2_funcop_1(k1_tarski(B),C)) = k2_finseq_2(A,C)))) # label(t152_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5094 (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]. 43.97/42.81 5095 (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]. 43.97/42.81 5096 (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]. 43.97/42.81 5097 (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]. 43.97/42.81 5098 (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]. 43.97/42.81 5099 (all A -(r2_hidden(A,f1_s3_pboole) & (all B -p1_s3_pboole(A,B)))) -> (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]. 43.97/42.81 5100 (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]. 43.97/42.81 5101 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -(B = k1_pboole(A) & r4_pboole(A,B,B)))))) # label(t140_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5102 (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]. 43.97/42.81 5103 (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]. 43.97/42.81 5104 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> v1_xboole_0(k1_funct_1(B,C)))) <-> v3_relat_1(B)))) # label(d15_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5105 (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]. 43.97/42.81 5106 (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]. 43.97/42.81 5107 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r4_pboole(A,B,C) -> r4_pboole(A,C,B)))) # label(symmetry_r4_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5108 (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]. 43.97/42.81 5109 (all A all B all C (-v1_xboole_0(A) & m1_pboole(B,A) & m1_pboole(C,A) -> (r3_pboole(A,B,C) -> -r3_pboole(A,C,B)))) # label(antisymmetry_r3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5110 (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) & r5_pboole(A,B,D) & -r5_pboole(A,B,C)))))))) # label(t116_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5111 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> r6_pboole(A,B,B))) # label(reflexivity_r6_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5112 (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]. 43.97/42.81 5113 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t49_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5114 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,B,k3_pboole(A,C,D)),k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D))) & r6_pboole(A,k2_pboole(A,k3_pboole(A,C,D),B),k3_pboole(A,k2_pboole(A,C,B),k2_pboole(A,D,B))))))))) # label(t39_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5115 (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]. 43.97/42.81 5116 (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]. 43.97/42.81 5117 (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]. 43.97/42.81 5118 (all A all B (m1_pboole(B,A) -> ((all C -(r2_hidden(C,A) & v1_xboole_0(k1_funct_1(B,C)))) <-> v2_relat_1(B)))) # label(d16_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5119 (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]. 43.97/42.81 5120 (all 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))) & v1_funct_1(k9_pboole(A)))) # label(dt_k9_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5121 (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]. 43.97/42.81 5122 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(B) & r7_pboole(A,B,C) -> r2_pboole(A,B,C)))))) # label(t144_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5123 (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]. 43.97/42.81 5124 (all A all B (m1_pboole(B,A) -> (all C (v1_funcop_1(C) & m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> 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]. 43.97/42.81 5125 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r4_pboole(A,k3_pboole(A,D,B),k3_pboole(A,D,C)) & -r4_pboole(A,B,C)))))))) # label(t114_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5126 (all A all B (m2_relset_1(B,k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_2(B,k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k3_finseq_2(k1_tarski(A)),B,C) = k2_finseq_2(C,A))) <-> B = k9_pboole(A)))) # label(d20_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5127 (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) & r4_pboole(A,B,C) -> r4_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t112_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5128 (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]. 43.97/42.81 5129 (all A all B all C all D (v2_relat_1(D) & m1_pboole(D,B) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> k5_relat_1(C,D) = k8_pboole(A,B,C,D))) # label(redefinition_k8_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5130 (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]. 43.97/42.81 5131 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k4_pboole(A,B,C),D),k4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t79_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5132 (all A all B all C all D (v1_funct_2(C,A,B) & m1_pboole(D,B) & v2_relat_1(D) & m1_relset_1(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> v2_relat_1(k8_pboole(A,B,C,D)) & m1_pboole(k8_pboole(A,B,C,D),A))) # label(dt_k8_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5133 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (r2_hidden(D,A) -> k1_funct_1(k5_pboole(A,B,C),D) = k5_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)))))))) # label(t4_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5134 (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]. 43.97/42.81 5135 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C all D (m1_pboole(D,k1_tarski(C)) -> (k2_funcop_1(k1_tarski(C),A) = D -> k1_funct_2(k2_finseq_1(B),A) = k1_funct_1(k7_pboole(k5_numbers,k3_finseq_2(k1_tarski(C)),k9_pboole(C),k6_pboole(k1_tarski(C),D)),B)))))))) # label(t153_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5136 (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]. 43.97/42.81 5137 (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]. 43.97/42.81 5138 (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]. 43.97/42.81 5139 (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]. 43.97/42.81 5140 (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]. 43.97/42.81 5141 (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]. 43.97/42.81 5142 (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]. 43.97/42.81 5143 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_2(C,A,B) & m1_pboole(D,B) & m1_relset_1(C,A,B) & v1_funct_1(C) -> k7_pboole(A,B,C,D) = k5_relat_1(C,D))) # label(redefinition_k7_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5144 (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]. 43.97/42.81 5145 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k5_pboole(A,B,C) = k5_pboole(A,C,B))) # label(commutativity_k5_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5146 (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]. 43.97/42.81 5147 $T # label(t13_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5148 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,k4_pboole(A,C,B)),k2_pboole(A,B,C)) & r6_pboole(A,k2_pboole(A,k4_pboole(A,C,B),B),k2_pboole(A,C,B)))))) # label(t73_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5149 (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]. 43.97/42.81 5150 (all A all B (v1_funct_2(k10_pboole(A,B),A,k1_tarski(B)) & m2_relset_1(k10_pboole(A,B),A,k1_tarski(B)) & v1_funct_1(k10_pboole(A,B)))) # label(dt_k10_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5151 (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]. 43.97/42.81 5152 (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]. 43.97/42.81 5153 (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]. 43.97/42.81 5154 (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]. 43.97/42.81 5155 $T # label(t30_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5156 (all A k2_funcop_1(A,k1_xboole_0) = k1_pboole(A)) # label(d6_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5157 (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]. 43.97/42.81 5158 (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]. 43.97/42.81 5159 (all A all B (m1_pboole(B,A) -> (v2_pboole(B,A) <-> v2_relat_1(B)))) # label(redefinition_v2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5160 (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]. 43.97/42.81 5161 (all A (v1_relat_1(k1_pboole(A)) & v1_funct_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)))) # label(fc3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5162 (all A m1_pboole(k1_pboole(A),A)) # label(dt_k1_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5163 (all A all B all C (m1_pboole(B,A) & v1_funcop_1(C) & m1_pboole(C,A) -> m1_pboole(k14_pboole(A,B,C),A))) # label(dt_k14_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5164 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k2_pboole(A,B,C),D) -> r2_pboole(A,C,D) & r2_pboole(A,B,D)))))))) # label(t43_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5165 $T # label(t90_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5166 $T # label(t32_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5167 (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]. 43.97/42.81 5168 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -r4_pboole(A,k1_pboole(A),B) & -r4_pboole(A,B,k1_pboole(A)))))) # label(t138_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5169 (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]. 43.97/42.81 5170 (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]. 43.97/42.81 5171 (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]. 43.97/42.81 5172 (all A exists B (v1_funct_1(B) & v1_funcop_1(B) & v1_relat_1(B) & m1_pboole(B,A))) # label(rc4_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5173 (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]. 43.97/42.81 5174 (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]. 43.97/42.81 5175 (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,C,D) -> r2_pboole(A,B,D)))))))) # label(t15_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5176 (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]. 43.97/42.81 5177 (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]. 43.97/42.81 5178 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k2_pboole(A,B,C) = D <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k2_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d7_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5179 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (all D (m3_pboole(D,A,B,C) -> m1_pboole(D,A))))) # label(dt_m3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5180 (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]. 43.97/42.81 5181 (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]. 43.97/42.81 5182 (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]. 43.97/42.81 5183 $T # label(t33_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5184 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k1_funct_1(B,D))) -> B = C))))) # label(t3_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5185 (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]. 43.97/42.81 5186 (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]. 43.97/42.81 5187 (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]. 43.97/42.81 5188 (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]. 43.97/42.81 5189 (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]. 43.97/42.81 5190 (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]. 43.97/42.81 5191 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k12_pboole(A,B,C),A))) # label(dt_k12_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5192 (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]. 43.97/42.81 5193 (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]. 43.97/42.81 5194 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r5_pboole(A,E,C) & r5_pboole(A,D,B) & r6_pboole(A,k2_pboole(A,B,C),k2_pboole(A,D,E)) -> r6_pboole(A,E,B) & r6_pboole(A,D,C)))))))))) # label(t124_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5195 (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) -> k1_funct_2(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E))) <-> D = k12_pboole(A,B,C)))))))) # label(d22_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5196 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,k3_pboole(A,B,C)),k3_pboole(A,B,C)) & r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),C),k3_pboole(A,B,C)))))) # label(t48_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5197 (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]. 43.97/42.81 5198 (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]. 43.97/42.81 5199 (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]. 43.97/42.81 5200 (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]. 43.97/42.81 5201 $T # label(t131_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5202 (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]. 43.97/42.81 5203 (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]. 43.97/42.81 5204 (exists A (m1_pboole(A,f1_s5_pboole) & (all B (m1_subset_1(B,f1_s5_pboole) -> k1_funct_1(A,B) = f2_s5_pboole(B))))) # label(s5_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5205 (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]. 43.97/42.81 5206 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m1_pboole(D,A) -> ((all E (m1_pboole(E,A) -> (r1_pboole(A,E,B) & r1_pboole(A,E,C) <-> r1_pboole(A,E,D)))) -> r6_pboole(A,D,k3_pboole(A,B,C))))))))) # label(t148_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5207 (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]. 43.97/42.81 5208 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) <-> r1_pboole(A,D,C)))) -> r6_pboole(A,C,B)))))) # label(t147_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5209 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) & r2_pboole(A,C,D) -> r1_pboole(A,B,D)))))))) # label(t9_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5210 (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]. 43.97/42.81 5211 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_relat_1(A) <-> k1_xboole_0 = A | k2_relat_1(A) = k1_tarski(k1_xboole_0)))) # label(t2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5212 (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]. 43.97/42.81 5213 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r5_pboole(A,B,C) -> r5_pboole(A,C,B)))) # label(symmetry_r5_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5214 (all A (m1_pboole(A,k1_xboole_0) -> k1_xboole_0 = A)) # label(t134_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5215 (all A all B all C all D (-v1_xboole_0(B) & m1_pboole(D,B) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> m1_pboole(k7_pboole(A,B,C,D),A))) # label(dt_k7_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5216 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> v1_funct_2(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m2_relset_1(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]. 43.97/42.81 5217 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,k3_finseq_2(A)) -> (C = k6_pboole(A,B) <-> (all D (m2_finseq_2(D,A,k3_finseq_2(A)) -> k4_card_3(k5_relat_1(D,B)) = k1_funct_1(C,D)))))))) # label(d19_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5218 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k2_relat_1(B)) -> (exists D (C = k1_funct_1(B,D) & r2_hidden(D,A))))))))) # label(t150_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5219 (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) & (all E (m1_pboole(E,A) -> (r2_pboole(A,C,E) & r2_pboole(A,D,E) -> r2_pboole(A,B,E)))) & r2_pboole(A,D,B)))))))) # label(t28_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5220 (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]. 43.97/42.81 5221 $T # label(d2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5222 (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]. 43.97/42.81 5223 (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]. 43.97/42.81 5224 (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]. 43.97/42.81 5225 (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,C,D),k1_pboole(A)) & r2_pboole(A,B,C) -> r6_pboole(A,k3_pboole(A,B,D),k1_pboole(A))))))))) # label(t52_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5226 (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,C) & k1_pboole(A) = k3_pboole(A,C,D) & r3_pboole(A,B,D)))))))))) # label(t137_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5227 $T # label(t107_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5228 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v3_relat_1(B) & v1_funct_1(B))) # label(rc2_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5229 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k4_pboole(A,B,C)),B) & r6_pboole(A,k2_pboole(A,k4_pboole(A,B,C),k3_pboole(A,B,C)),B))))) # label(t71_pboole) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5230 $T # label(t4_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5231 (all A (v2_membered(A) -> v1_xreal_0(k2_seq_4(A)))) # label(dt_k2_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5232 (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) -> -(m1_seqm_3(B,A) & v4_seq_2(B)))) & v3_seq_2(A)))) # label(t57_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5233 (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(C,A)) = k8_funct_2(k5_numbers,k1_numbers,B,C))) -> r1_xreal_0(A,np__0) | np__0 = k2_seq_2(B)))))) # label(t44_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5234 (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]. 43.97/42.81 5235 $T # label(t6_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5236 (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) -> k8_funct_2(k5_numbers,k1_numbers,A,B) = k6_real_1(np__1,k1_nat_1(k2_nat_1(B,B),np__1)))) -> np__0 = k2_seq_2(A) & v4_seq_2(A)))) # label(t49_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5237 (all A (v1_xreal_0(A) -> k1_seq_4(A) = k1_tarski(A))) # label(redefinition_k1_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5238 $T # label(t21_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5239 (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]. 43.97/42.81 5240 (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) & v5_seqm_3(A) -> k2_seq_2(k10_seq_1(A,B)) = k5_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) & 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)) & 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))))))) # label(t59_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5241 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k2_seq_4(A) = k4_seq_4(A))) # label(redefinition_k4_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.81 5242 (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]. 43.97/42.82 5243 (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) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(k2_xcmplx_0(B,C),D))))))))))))) # label(t18_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5244 (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) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> v4_seq_2(B) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> A != k1_seqm_3(B,C)))))))) # label(t35_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5245 $T # label(t34_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5246 (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) <-> (all B (v1_xreal_0(B) -> -((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))))) & -r1_xreal_0(B,np__0))))))) # label(t58_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5247 $T # label(t11_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5248 $T # label(t1_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5249 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) -> -((all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> -(C != B & r2_hidden(C,A) & r2_hidden(B,A)))))) & -r1_xreal_0(k4_seq_4(A),k5_seq_4(A))) & -((exists B ((exists C (r2_hidden(C,A) & C != B & r2_hidden(B,A) & v1_xreal_0(C))) & v1_xreal_0(B))) & r1_xreal_0(k4_seq_4(A),k5_seq_4(A))) | v1_xboole_0(A)))) # label(t25_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5250 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k5_numbers,k1_numbers) & v1_funct_2(C,k5_numbers,k1_numbers) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k7_xcmplx_0(B,k2_xcmplx_0(k2_nat_1(D,D),A)) = k8_funct_2(k5_numbers,k1_numbers,C,D))) -> k2_seq_2(C) = np__0 & v4_seq_2(C) | r1_xreal_0(A,np__0)))))))) # label(t50_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5251 (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)))) -> (all C (v1_xreal_0(C) -> -r2_hidden(C,B))) | (all C (v1_xreal_0(C) -> (exists D (v1_xreal_0(D) & -r1_xreal_0(D,C) & r2_hidden(D,B))))) | r1_xreal_0(A,np__0)))))) # label(t9_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5252 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v4_seq_2(B) & m1_seqm_3(A,B) -> v4_seq_2(A)))))) # label(t29_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5253 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v6_seqm_3(A) & v3_seq_2(A) -> v4_seq_2(A)))) # label(t53_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5254 $T # label(t20_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5255 (all A (v1_xreal_0(A) -> A = k4_seq_4(k1_seq_4(A)) & k5_seq_4(k1_seq_4(A)) = A)) # label(t22_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5256 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,A) -> r1_xreal_0(D,C)))) -> r1_xreal_0(B,C)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) -> B = k2_seq_4(A)))))) # label(t63_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5257 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v4_seqm_3(A) & v2_seq_2(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(k2_seq_2(A),k8_funct_2(k5_numbers,k1_numbers,A,B))))))) # label(t55_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5258 (all A (m1_relset_1(A,k5_numbers,k1_numbers) -> (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & v5_seqm_3(A) -> v1_funct_2(A,k5_numbers,k1_numbers) & v4_seq_2(A) & v1_seq_1(A) & v1_funct_1(A)))) # label(cc1_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5259 (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]. 43.97/42.82 5260 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (exists B (v1_funct_1(B) & v7_seqm_3(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v6_seqm_3(k3_seqm_3(B,A)) & v1_seqm_3(B) & v1_funct_2(B,k5_numbers,k1_numbers))))) # label(t56_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5261 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (k2_seq_2(k22_seq_1(A)) = np__0 & v4_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]. 43.97/42.82 5262 (all A (v2_membered(A) -> -(v1_seq_4(A) & (all B (v1_xreal_0(B) -> -((all C (v1_xreal_0(C) -> -((all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,k6_xcmplx_0(B,C)) & r2_hidden(D,A)))) & -r1_xreal_0(C,np__0)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B))))))) & -v1_xboole_0(A)))) # label(t16_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5263 (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]. 43.97/42.82 5264 (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) -> ((exists C (k8_funct_2(k5_numbers,k1_numbers,B,C) = A & m2_subset_1(C,k1_numbers,k5_numbers))) & v5_seqm_3(B) | v5_seqm_3(B) & r2_hidden(A,k2_relat_1(B)) -> A = k2_seq_2(B)))))) # label(t40_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5265 (all A (-v1_xboole_0(A) & v2_membered(A) -> (all B (v2_membered(B) -> (v1_seq_4(B) & r1_tarski(A,B) -> r1_xreal_0(k2_seq_4(A),k2_seq_4(B))))))) # label(t65_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5266 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v3_seqm_3(A) & v1_seq_2(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]. 43.97/42.82 5267 (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]. 43.97/42.82 5268 (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) -> v4_seq_2(k1_seqm_3(B,A)) & k2_seq_2(k1_seqm_3(B,A)) = k2_seq_2(B)))))) # label(t33_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5269 (all A (v1_xreal_0(A) -> (all B (v2_membered(B) & -v1_xboole_0(B) -> ((all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,B) -> r1_xreal_0(C,D)))) -> r1_xreal_0(C,A)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,B) -> r1_xreal_0(A,C)))) -> A = k3_seq_4(B)))))) # label(t61_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5270 $T # label(t2_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5271 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(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(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]. 43.97/42.82 5272 (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(k2_nat_1(C,C),A)))) -> r1_xreal_0(A,np__0) | v4_seq_2(B)))))) # label(t47_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5273 (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]. 43.97/42.82 5274 (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]. 43.97/42.82 5275 (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) -> (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]. 43.97/42.82 5276 (all A (v1_xreal_0(A) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k7_xcmplx_0(np__1,k2_xcmplx_0(C,A)) = k8_funct_2(k5_numbers,k1_numbers,B,C))) -> r1_xreal_0(A,np__0) | v4_seq_2(B)))))) # label(t43_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5277 (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]. 43.97/42.82 5278 (all A (v2_membered(A) -> (v2_seq_4(A) -> (all B (v1_xreal_0(B) -> (B = k3_seq_4(A) <-> (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) & (all C (v1_xreal_0(C) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(k2_xcmplx_0(B,C),D)))))))))) | v1_xboole_0(A)))) # label(d5_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5279 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k5_numbers,k1_numbers) & m2_relset_1(C,k5_numbers,k1_numbers) -> ((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))) -> k2_seq_2(C) = np__0 & v4_seq_2(C) | r1_xreal_0(A,np__0)))))))) # label(t46_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5280 (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]. 43.97/42.82 5281 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,A) -> r1_xreal_0(D,C)))) -> r1_xreal_0(k2_seq_4(A),C)))))))) # label(t62_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5282 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v3_seqm_3(A) & v1_seq_2(A) -> v4_seq_2(A)))) # label(t51_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5283 $T # label(t3_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5284 (all A (v2_membered(A) -> v1_xreal_0(k3_seq_4(A)))) # label(dt_k3_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5285 $T # label(t5_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5286 $T # label(t13_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5287 $T # label(t7_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5288 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k3_seq_4(A) = k5_seq_4(A))) # label(redefinition_k5_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5289 (all A (v2_membered(A) -> (v2_seq_4(A) <-> (exists B (v1_xreal_0(B) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C))))))))) # label(d2_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5290 (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) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(k2_xcmplx_0(B,D),E))))))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(B,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)))) -> A = B))))))) # label(t19_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5291 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (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(A) -> v4_seq_2(B) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (r1_xreal_0(C,D) & k8_funct_2(k5_numbers,k1_numbers,A,D) != k8_funct_2(k5_numbers,k1_numbers,B,D) & m2_subset_1(D,k1_numbers,k5_numbers)))))))))) # label(t31_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5292 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v2_membered(C) -> ((all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(E,k6_xcmplx_0(B,D))))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,B)))) & (all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(-r1_xreal_0(E,k6_xcmplx_0(A,D)) & r2_hidden(E,C)))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,A)))) -> B = A))))))) # label(t17_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5293 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (m1_seqm_3(A,B) & v4_seq_2(B) -> k2_seq_2(B) = k2_seq_2(A)))))) # label(t30_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5294 (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(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v2_relat_1(B) & m1_seqm_3(B,A) -> k2_real_1(k2_seq_2(A)) = k2_seq_2(k18_seq_1(B))))) | np__0 = k2_seq_2(A)))) # label(t42_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5295 (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) -> -(r2_hidden(C,A) & r1_xreal_0(B,k18_complex1(C))))) & v1_xreal_0(B)))))) # label(t14_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5296 (all A (v2_membered(A) -> (v1_seq_4(A) -> (all B (v1_xreal_0(B) -> (B = k2_seq_4(A) <-> (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)))))))))) | v1_xboole_0(A)))) # label(d4_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5297 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v2_seq_2(A) & v4_seqm_3(A) -> v4_seq_2(A)))) # label(t52_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5298 (all A (v1_xreal_0(A) -> v3_seq_4(k1_seq_4(A)))) # label(t15_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5299 (all A (-v1_xboole_0(A) & v2_membered(A) -> (all B (v2_membered(B) -> (r1_tarski(A,B) & v2_seq_4(B) -> r1_xreal_0(k3_seq_4(B),k3_seq_4(A))))))) # label(t64_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5300 (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) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> -(v2_relat_1(B) & m1_seqm_3(B,A)))) & np__0 != k2_seq_2(A) & v4_seq_2(A)))) # label(t38_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5301 (all A (v2_membered(A) -> ((exists B (v1_xreal_0(B) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))))) <-> v1_seq_4(A)))) # label(d1_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5302 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v5_seqm_3(A) -> v4_seq_2(A)))) # label(t39_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5303 (all A (v1_xreal_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(k2_nat_1(C,C),A)))) -> np__0 = k2_seq_2(B) | r1_xreal_0(A,np__0)))))) # label(t48_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5304 (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) -> (v4_seq_2(A) -> k2_seq_2(A) = k2_seq_2(B) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k1_seqm_3(B,C) != A))))))) # label(t36_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5305 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> -((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -v2_relat_1(k1_seqm_3(A,B)))) & k2_seq_2(A) != np__0 & v4_seq_2(A)))) # label(t37_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5306 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_numbers)) -> -((all C (v1_xreal_0(C) -> (exists D (v1_xreal_0(D) & (exists E (-(r1_xreal_0(C,E) & r1_xreal_0(D,C)) & r2_hidden(E,B) & r2_hidden(D,A) & v1_xreal_0(E))))))) & (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> -(r2_hidden(C,A) & r2_hidden(D,B) & r1_xreal_0(D,C))))))))))) # label(t8_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5307 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v4_seq_2(A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (r1_xreal_0(C,D) & k8_funct_2(k5_numbers,k1_numbers,B,D) != k8_funct_2(k5_numbers,k1_numbers,A,D) & m2_subset_1(D,k1_numbers,k5_numbers))))) | k2_seq_2(A) = k2_seq_2(B)))))) # label(t32_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5308 $T # label(t12_seq_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5309 (all A all B all C all D all E all F all G all H (-v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(F,A) & m1_subset_1(H,C) & m1_subset_1(G,B) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k2_multop_1(A,B,C,D,E,F,G,H) = k1_multop_1(E,F,G,H))) # label(redefinition_k2_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 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 (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)))))))) -> E = F))))))))))))) # label(t3_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5311 $T # label(dt_k3_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5312 (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 (p1_s2_multop_1(A,B,C,D) & m1_subset_1(D,f1_s2_multop_1))))))))) -> (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s2_multop_1) -> (all C (m1_subset_1(C,f1_s2_multop_1) -> (all D (m1_subset_1(D,f1_s2_multop_1) -> p1_s2_multop_1(B,C,D,k2_multop_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1,A,B,C,D)))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1) & v1_funct_2(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1))) # label(s2_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5313 (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) & (all B (m1_subset_1(B,f1_s5_multop_1) -> (all C (m1_subset_1(C,f2_s5_multop_1) -> (all D (m1_subset_1(D,f3_s5_multop_1) -> (all E (m1_subset_1(E,f4_s5_multop_1) -> p1_s5_multop_1(B,C,D,E,k8_funct_2(k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1,A,k5_domain_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1,B,C,D,E))))))))))) & m2_relset_1(A,k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1) & v1_funct_1(A))) # label(s5_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5314 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D all E k3_multop_1(A,B,C,D,E) = k1_funct_1(A,k4_mcart_1(B,C,D,E))))) # label(d2_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5315 (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) & 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)))))))))) & 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))) # label(s6_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5316 $T # label(t5_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5317 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m2_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) -> ((all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,B) -> (all J (m1_subset_1(J,C) -> (all K (m1_subset_1(K,D) -> k4_multop_1(A,B,C,D,E,F,H,I,J,K) = k4_multop_1(A,B,C,D,E,G,H,I,J,K))))))))) -> F = G))))))))))))))) # label(t8_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5318 $T # label(t1_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5319 (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) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(F,k4_zfmisc_1(A,B,C,D),E) -> (all G (v1_funct_1(G) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(G,k4_zfmisc_1(A,B,C,D),E) -> ((all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,B) -> (all J (m1_subset_1(J,C) -> (all K (m1_subset_1(K,D) -> k8_funct_2(k4_zfmisc_1(A,B,C,D),E,F,k5_domain_1(A,B,C,D,H,I,J,K)) = k8_funct_2(k4_zfmisc_1(A,B,C,D),E,G,k5_domain_1(A,B,C,D,H,I,J,K)))))))))) -> G = F))))))))))))))) # label(t7_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5320 (all A (-v1_xboole_0(A) -> (all B all C all D all E all F (v1_funct_2(F,k4_zfmisc_1(B,C,D,E),A) & m2_relset_1(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(H,B) & r2_hidden(K,E) & r2_hidden(J,D) & r2_hidden(I,C) -> k1_funct_1(F,k4_mcart_1(H,I,J,K)) = k1_funct_1(G,k4_mcart_1(H,I,J,K)))) -> G = F))))))) # label(t6_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5321 (all A all B all C all D all E all F all G all H all I all J (-v1_xboole_0(C) & m1_subset_1(G,A) & m1_subset_1(H,B) & m1_subset_1(J,D) & m1_subset_1(I,C) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(F) & -v1_xboole_0(E) & -v1_xboole_0(D) & -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]. 43.97/42.82 5322 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.82 5323 (all A all B all C all D all E all F all G all H (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(F,A) & m1_subset_1(H,C) & m1_subset_1(G,B) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(A) -> m1_subset_1(k2_multop_1(A,B,C,D,E,F,G,H),D))) # label(dt_k2_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5324 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m2_relset_1(E,k3_zfmisc_1(A,B,C),D) -> (all F (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]. 43.97/42.82 5325 (all A (-v1_xboole_0(A) -> (all B all C all D all E (m2_relset_1(E,k3_zfmisc_1(B,C,D),A) & v1_funct_2(E,k3_zfmisc_1(B,C,D),A) & v1_funct_1(E) -> (all F (m2_relset_1(F,k3_zfmisc_1(B,C,D),A) & v1_funct_2(F,k3_zfmisc_1(B,C,D),A) & v1_funct_1(F) -> ((all G all H all I (r2_hidden(G,B) & r2_hidden(H,C) & r2_hidden(I,D) -> k1_funct_1(F,k3_mcart_1(G,H,I)) = k1_funct_1(E,k3_mcart_1(G,H,I)))) -> F = E))))))) # label(t2_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 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 (p1_s1_multop_1(A,B,C,D) & m1_subset_1(D,f4_s1_multop_1))))))))) -> (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s1_multop_1) -> (all C (m1_subset_1(C,f2_s1_multop_1) -> (all D (m1_subset_1(D,f3_s1_multop_1) -> p1_s1_multop_1(B,C,D,k8_funct_2(k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1,A,k4_domain_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1,B,C,D))))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1) & v1_funct_2(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1))) # label(s1_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5327 (exists A (v1_funct_1(A) & v1_funct_2(A,k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1) & m2_relset_1(A,k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1) & (all B (m1_subset_1(B,f1_s7_multop_1) -> (all C (m1_subset_1(C,f2_s7_multop_1) -> (all D (m1_subset_1(D,f3_s7_multop_1) -> (all E (m1_subset_1(E,f4_s7_multop_1) -> f6_s7_multop_1(B,C,D,E) = k8_funct_2(k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1,A,k5_domain_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1,B,C,D,E)))))))))))) # label(s7_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5328 (exists A (v1_funct_1(A) & m2_relset_1(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) -> f5_s3_multop_1(B,C,D) = 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)))))))) & v1_funct_2(A,k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1))) # label(s3_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5329 $T # label(dt_k1_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5330 (exists A (v1_funct_1(A) & m2_relset_1(A,k3_zfmisc_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1),f4_s4_multop_1) & (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) -> f5_s4_multop_1(B,C,D) = k2_multop_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1,f4_s4_multop_1,A,B,C,D))))))) & 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]. 43.97/42.82 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(D) & -v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(H,B) & m1_subset_1(J,D) & m1_subset_1(I,C) & m1_subset_1(G,A) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & -v1_xboole_0(C) & -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]. 43.97/42.82 5332 (exists A (v1_funct_1(A) & 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) & (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) -> f2_s8_multop_1(B,C,D,E) = 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))))))))) & 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))) # label(s8_multop_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5333 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> k3_realset1(A,B,C) = k1_realset1(C,B))))) # label(d7_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5334 (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,k1_zfmisc_1(A)) -> (m1_realset1(C,A,B) <-> (all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C)))))))) # label(d2_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5335 (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]. 43.97/42.82 5336 (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 (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]. 43.97/42.82 5337 (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_1(k2_realset1(A,B,C)) & m2_relset_1(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C) & v1_funct_2(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C))) # label(dt_k2_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5338 (all A (-((exists B exists C (r2_hidden(B,A) & r2_hidden(C,A) & B != C)) & v1_realset1(A)) & -((all B all C -(r2_hidden(B,A) & C != B & r2_hidden(C,A))) & -v1_realset1(A)))) # label(t14_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5339 (exists A (-v1_xboole_0(A) & (all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))))) # label(t5_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5340 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_realset1(C,A,B) -> k1_realset1(B,C) = k2_realset1(A,B,C))) # label(redefinition_k2_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5341 (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) -> (exists C m1_realset1(C,A,B)))) # label(existence_m1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5342 (all A (-((all B A != k1_tarski(B)) & -v1_xboole_0(A)) <-> v1_realset1(A))) # label(d4_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5343 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -(v1_realset1(B) & (exists C (m1_subset_1(C,A) & (exists D (m1_subset_1(D,A) & D != C & r2_hidden(D,B) & r2_hidden(C,B)))))) & -(-v1_realset1(B) & (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> -(r2_hidden(C,B) & C != D & r2_hidden(D,B))))))))) # label(t15_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5344 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,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) & v1_funct_1(k1_realset1(C,B)))))) # label(t9_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5345 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5346 (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)) & 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))) & 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))))) # label(dt_k4_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5347 (all A all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C))))) # label(dt_m3_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5348 (all A (-v1_xboole_0(k1_tarski(A)) & v1_realset1(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5349 (exists A (-v1_realset1(A) & -v1_xboole_0(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5350 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5351 (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]. 43.97/42.82 5352 (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]. 43.97/42.82 5353 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5354 (all A (-v1_realset1(A) -> (exists B (m4_realset1(B,A) & -v1_xboole_0(B))))) # label(rc3_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5355 (all A all B (v1_relat_1(A) & v1_funct_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]. 43.97/42.82 5356 (all A (v1_finset_1(A) -> (v1_realset1(A) <-> -r1_xreal_0(np__2,k4_card_1(A))))) # label(t13_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5357 (all A (-v1_realset1(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) -> (r2_realset1(A,B,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))) & v1_funct_1(k4_xboole_0(k1_realset1(B,A),k1_tarski(C))) & m1_realset1(k4_xboole_0(A,k1_tarski(C)),A,B)))))))) # label(d5_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5358 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C))) <-> r1_realset1(A,B,C)))))) # label(d1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5359 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_realset1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(A)))))) # label(dt_m1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.82 5360 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m2_realset1(C,A,B) -> 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) & v1_funct_1(k3_realset1(A,B,C)))) # label(dt_k3_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5361 (all A (-v1_xboole_0(A) -> -(v1_realset1(A) & (all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B)))))))) # label(t6_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5362 (all A (-v1_xboole_0(A) -> (-v1_realset1(A) <-> (all B -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))))) # label(t4_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5363 (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]. 43.97/42.83 5364 (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]. 43.97/42.83 5365 (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]. 43.97/42.83 5366 (all A all B (-v1_realset1(A) & m1_subset_1(B,A) -> m4_realset1(k5_realset1(A,B),A))) # label(dt_k5_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5367 (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]. 43.97/42.83 5368 (all A all B (-v1_realset1(A) & m1_subset_1(B,A) -> k5_realset1(A,B) = k1_tarski(B))) # label(redefinition_k5_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5369 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (exists C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & (all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B))) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(t8_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5370 (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]. 43.97/42.83 5371 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5372 (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]. 43.97/42.83 5373 (all A (-v1_realset1(A) -> (all B (m4_realset1(B,A) <-> (exists C (m1_subset_1(C,A) & k1_tarski(C) = B)))))) # label(d10_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5374 (all A all B (m1_subset_1(B,A) -> (exists C (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))))) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(t10_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5375 (all A all B (m1_subset_1(B,k1_zfmisc_1(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) -> (m2_realset1(C,A,B) <-> (all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B)))))))) # label(d6_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5376 $T # label(dt_m4_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5377 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(dt_m2_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5378 (all A (-v1_realset1(A) -> (exists B m4_realset1(B,A)))) # label(existence_m4_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5379 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (m1_realset1(C,A,B) -> m2_relset_1(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & v1_funct_2(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & v1_funct_1(k1_realset1(B,C)))))) # label(t3_realset1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5380 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> ((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]. 43.97/42.83 5381 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k7_funct_6(A) <-> k1_relat_1(B) = k4_card_3(k2_funct_6(A)) & (all C (v1_funct_1(C) & v1_relat_1(C) -> -((all D (v1_relat_1(D) & v1_funct_1(D) -> -(D = k1_funct_1(B,C) & (all E (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(D,E) = k1_funct_1(k4_funct_5(A),k4_tarski(E,k1_funct_1(C,E))))) & k10_relat_1(A,k1_funct_6(k2_relat_1(A))) = k1_relat_1(D)))) & r2_hidden(C,k4_card_3(k2_funct_6(A))))))))))) # label(d7_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5382 (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]. 43.97/42.83 5383 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(k2_zfmisc_1(A,B),C)) -> r2_hidden(k3_funct_5(D),k1_funct_2(A,k1_funct_2(B,C))) & r2_hidden(k5_funct_5(D),k1_funct_2(B,k1_funct_2(A,C))) | k2_zfmisc_1(A,B) = k1_xboole_0))) # label(t19_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5384 (all A (v1_relat_1(A) & v1_funct_1(A) -> k4_funct_6(A) = k1_setfam_1(k2_relat_1(A)))) # label(d4_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5385 (all A (v1_relat_1(A) & v1_funct_1(A) -> k6_funct_6(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)))))) # label(d6_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5386 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k1_funct_1(k4_funct_5(A),k4_tarski(B,C)) = k5_funct_6(A,B,C)))) # label(d5_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5387 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k5_funct_6(k11_finseq_1(C,B,D),np__2,A) = k1_funct_1(B,A) & k5_funct_6(k10_finseq_1(C,B),np__2,A) = k1_funct_1(B,A)))))))) # label(t46_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5388 (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_relat_1(C) & v1_funct_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]. 43.97/42.83 5389 (all A all B all C k2_funcop_1(B,k1_funct_2(A,C)) = k9_funct_6(A,k2_funcop_1(B,C))) # label(t82_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5390 $T # label(d11_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5391 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k2_funcop_1(A,k2_relat_1(B)) = k3_funct_6(k2_funcop_1(A,B)) & k2_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]. 43.97/42.83 5392 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k6_funct_6(A)) & v1_relat_1(k6_funct_6(A)))) # label(dt_k6_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5393 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_funcop_1(k1_relat_1(A),k1_tarski(k1_xboole_0)) = k9_funct_6(k1_xboole_0,A))) # label(t78_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5394 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_relat_1(A) = k1_relat_1(k6_funct_6(k9_finseq_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)))))) # label(t61_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5395 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__1,A) = k4_card_3(k9_finseq_1(A)))) # label(t4_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5396 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k7_funct_6(A)) & v1_funct_1(k7_funct_6(A)))) # label(dt_k7_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5397 (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)) & r2_hidden(B,k1_relat_1(D)) & D = k1_funct_1(C,A) -> k1_funct_1(D,B) = k5_funct_6(C,A,B)))))) # label(t44_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5398 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(D) & -v1_xboole_0(C) -> ((exists E exists F exists G (m1_subset_1(G,D) & k11_finseq_1(E,F,G) = A & m1_subset_1(F,C) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_0_funct_6(B,C,D))))) # label(fraenkel_a_3_0_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5399 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k10_funct_6(A)) & v1_funcop_1(k10_funct_6(A)) & v1_relat_1(k10_funct_6(A)))) # label(dt_k10_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5400 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (A != k1_xboole_0 -> k1_relat_1(B) = k1_relat_1(k6_funct_6(k2_funcop_1(A,B))) & (all C (r2_hidden(C,k1_relat_1(B)) -> 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]. 43.97/42.83 5401 (all A all B all C (k2_funcop_1(k2_zfmisc_1(A,B),C) = k4_funct_5(k2_funcop_1(A,k2_funcop_1(B,C))) & k6_funct_5(k2_funcop_1(A,k2_funcop_1(B,C))) = k2_funcop_1(k2_zfmisc_1(B,A),C))) # label(t15_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5402 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.83 5403 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_funct_6(B,C)) <-> (exists D exists E (m1_subset_1(E,C) & A = k10_finseq_1(D,E) & m1_subset_1(D,B)))))) # label(fraenkel_a_2_0_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5404 (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]. 43.97/42.83 5405 (all A all B all C all D (r2_hidden(A,k4_card_3(k11_finseq_1(B,C,D))) <-> (exists E exists F exists G (r2_hidden(G,D) & A = k11_finseq_1(E,F,G) & r2_hidden(F,C) & r2_hidden(E,B))))) # label(t3_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5406 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k4_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & r1_tarski(k2_relat_1(k6_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & k1_relat_1(k6_funct_5(k2_funcop_1(A,B))) = k2_zfmisc_1(k1_relat_1(B),A) & k2_zfmisc_1(A,k1_relat_1(B)) = k1_relat_1(k4_funct_5(k2_funcop_1(A,B))))) # label(t17_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5407 (all A all B (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k8_funct_6(A,B)) & v1_relat_1(k8_funct_6(A,B)))) # label(dt_k8_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5408 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_xboole_0 != B -> (r2_hidden(A,k4_funct_6(B)) <-> (all C (r2_hidden(C,k1_relat_1(B)) -> r2_hidden(A,k1_funct_1(B,C)))))))) # label(t37_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5409 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (m2_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_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]. 43.97/42.83 5410 (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]. 43.97/42.83 5411 (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 = A | B = k1_xboole_0 | r2_hidden(k10_funct_6(D),k1_funct_2(B,k1_funct_2(A,C)))))) # label(t85_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5412 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k8_funct_6(A,B) <-> (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)))))) # label(d8_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5413 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.83 5414 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k11_finseq_1(k2_relat_1(A),k2_relat_1(B),k2_relat_1(C)) = k3_funct_6(k11_finseq_1(A,B,C)) & k11_finseq_1(k1_relat_1(A),k1_relat_1(B),k1_relat_1(C)) = k2_funct_6(k11_finseq_1(A,B,C)))))))) # label(t35_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5415 $T # label(d10_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5416 (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))) -> k1_xboole_0 = B | D = k10_funct_6(k10_funct_6(D)) | A = k1_xboole_0))) # label(t87_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5417 (all A all B all C (k2_xboole_0(k2_xboole_0(A,B),C) = k3_card_3(k11_finseq_1(A,B,C)) & k4_funct_6(k11_finseq_1(A,B,C)) = k3_xboole_0(k3_xboole_0(A,B),C))) # label(t41_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5418 (all A k1_xboole_0 = k8_funct_6(k1_xboole_0,A)) # label(t73_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5419 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_relat_1(k7_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k2_relat_1(A))) & (all B (r2_hidden(B,k1_relat_1(A)) -> k9_finseq_1(k1_funct_1(A,B)) = k1_funct_1(k7_funct_6(k9_finseq_1(A)),k9_finseq_1(B)))) & k4_card_3(k9_finseq_1(k1_relat_1(A))) = k1_relat_1(k7_funct_6(k9_finseq_1(A))))) # label(t64_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5420 (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]. 43.97/42.83 5421 $T # label(dt_k1_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5422 (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]. 43.97/42.83 5423 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v1_relat_1(k1_funct_1(C,A)) & r2_hidden(B,k1_relat_1(k6_funct_6(C))) & v1_funct_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]. 43.97/42.83 5424 (all A r1_tarski(k1_funct_6(A),A)) # label(t27_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5425 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.83 5426 (all A k1_xboole_0 = k9_funct_6(A,k1_xboole_0)) # label(t79_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5427 (all A (k1_xboole_0 = k4_funct_6(k2_funcop_1(k1_xboole_0,A)) & k1_xboole_0 = k3_card_3(k2_funcop_1(k1_xboole_0,A)))) # label(t42_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5428 (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_funct_1(E) & v1_relat_1(E) -> (D = k1_funct_1(C,A) & r2_hidden(B,k1_relat_1(k6_funct_6(C))) & E = k1_funct_1(k6_funct_6(C),B) & 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]. 43.97/42.83 5429 (all A all B all C (k1_xboole_0 != k2_zfmisc_1(A,B) -> k2_funcop_1(B,k2_funcop_1(A,C)) = k5_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)) & k2_funcop_1(A,k2_funcop_1(B,C)) = k3_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)))) # label(t14_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5430 (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]. 43.97/42.83 5431 (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) -> (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) & k1_relat_1(A) = k1_relat_1(B) -> r2_wellord2(k4_card_3(A),k4_card_3(C))))))))) # label(t70_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5432 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k3_funct_6(A)) & v1_relat_1(k3_funct_6(A)))) # label(dt_k3_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5433 (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 & k1_relat_1(B) = A -> r2_wellord2(k4_card_3(B),k4_card_3(C))))))) # label(t69_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5434 (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]. 43.97/42.83 5435 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> v1_funct_1(k9_funct_6(A,B)) & v1_relat_1(k9_funct_6(A,B)))) # label(dt_k9_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5436 (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]. 43.97/42.83 5437 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> k4_card_3(k11_finseq_1(A,B,C)) = a_3_0_funct_6(A,B,C))))))) # label(t7_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5438 (all A (v1_funct_1(A) & v1_relat_1(A) -> k2_funct_6(k9_finseq_1(A)) = k9_finseq_1(k1_relat_1(A)) & k3_funct_6(k9_finseq_1(A)) = k9_finseq_1(k2_relat_1(A)))) # label(t33_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5439 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k1_relat_1(k2_funct_6(A)) = k1_relat_1(A))) # label(t89_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5440 (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]. 43.97/42.83 5441 (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) -> (r2_hidden(A,k1_relat_1(B)) -> k5_funct_6(k11_finseq_1(C,D,B),np__3,A) = k1_funct_1(B,A)))))))) # label(t47_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5442 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) -> k1_relat_1(k3_funct_6(A)) = k1_relat_1(A))) # label(t90_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5443 (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) -> (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]. 43.97/42.83 5444 (all A all B (k2_xboole_0(A,B) = k3_card_3(k10_finseq_1(A,B)) & k3_xboole_0(A,B) = k4_funct_6(k10_finseq_1(A,B)))) # label(t40_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5445 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> r2_hidden(k4_funct_5(D),k1_funct_2(k2_zfmisc_1(A,B),C)) & r2_hidden(k6_funct_5(D),k1_funct_2(k2_zfmisc_1(B,A),C))))) # label(t20_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5446 (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) -> (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]. 43.97/42.83 5447 (all A all B all C k10_finseq_1(k1_funct_2(A,C),k1_funct_2(B,C)) = k8_funct_6(k10_finseq_1(A,B),C)) # label(t75_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5448 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (C = k1_funct_1(B,A) & k1_funct_1(k7_funct_6(B),D) = E & r2_hidden(D,k4_card_3(k2_funct_6(B))) & r2_hidden(A,k1_relat_1(B)) -> r2_hidden(k1_funct_1(D,A),k1_relat_1(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))))))))))) # label(t57_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5449 (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(B,k4_card_3(k2_funct_6(C))) -> 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]. 43.97/42.83 5450 (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]. 43.97/42.83 5451 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k3_funct_6(A) <-> k1_relat_1(B) = k10_relat_1(A,k1_funct_6(k2_relat_1(A))) & (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)))))))) # label(d3_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5452 (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)) & C = k1_funct_1(B,A) -> r2_hidden(A,k1_relat_1(k2_funct_6(B))) & k1_funct_1(k2_funct_6(B),A) = k1_relat_1(C) & r2_hidden(A,k1_relat_1(k3_funct_6(B))) & k1_funct_1(k3_funct_6(B),A) = k2_relat_1(C)))))) # label(t31_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5453 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (A != k1_xboole_0 -> k2_relat_1(k4_funct_5(k2_funcop_1(A,B))) = k2_relat_1(B) & k2_relat_1(k6_funct_5(k2_funcop_1(A,B))) = k2_relat_1(B)))) # label(t18_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5454 (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(C)) & r2_hidden(A,k1_relat_1(B)) -> (all D all E (k1_funct_1(k13_funct_3(B,C),A) = k4_tarski(D,E) <-> k1_funct_1(k6_funct_6(k10_finseq_1(B,C)),A) = k10_finseq_1(D,E)))))))) # label(t67_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5455 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (A = k1_relat_1(F) & 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]. 43.97/42.83 5456 $T # label(dt_k5_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5457 (all A all B (r2_hidden(A,k4_card_3(k9_finseq_1(B))) <-> (exists C (r2_hidden(C,B) & k9_finseq_1(C) = A)))) # label(t1_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5458 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k1_funct_6(k1_enumset1(A,B,C)) = 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]. 43.97/42.83 5459 (all A all B k8_funct_6(k9_finseq_1(A),B) = k9_finseq_1(k1_funct_2(A,B))) # label(t74_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5460 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_6(A)) & v1_funct_1(k2_funct_6(A)))) # label(dt_k2_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5461 (all A all B ((all C (r2_hidden(C,B) <-> v1_relat_1(C) & v1_funct_1(C) & r2_hidden(C,A))) <-> B = k1_funct_6(A))) # label(d1_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5462 (all A all B all C k8_funct_6(k2_funcop_1(A,B),C) = k2_funcop_1(A,k1_funct_2(B,C))) # label(t76_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5463 (all A all B k9_funct_6(A,k9_finseq_1(B)) = k9_finseq_1(k1_funct_2(A,B))) # label(t80_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5464 (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(k5_funct_5(F),k4_partfun1(B,k4_partfun1(A,C))) & -r2_hidden(k3_funct_5(F),k4_partfun1(A,k4_partfun1(B,C))) | r2_hidden(F,k4_partfun1(k2_zfmisc_1(A,B),C))))) # label(t25_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5465 (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]. 43.97/42.83 5466 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k4_partfun1(k2_zfmisc_1(A,B),C)) -> r2_hidden(k5_funct_5(D),k4_partfun1(B,k4_partfun1(A,C))) & r2_hidden(k3_funct_5(D),k4_partfun1(A,k4_partfun1(B,C)))))) # label(t23_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5467 (all A (v1_relat_1(A) & v1_funct_1(A) -> k10_funct_6(A) = k5_funct_5(k4_funct_5(A)))) # label(d12_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5468 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k1_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k1_relat_1(B)) & (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(C,k1_funct_2(A,k1_relat_1(B))) -> k5_relat_1(C,B) = k1_funct_1(k7_funct_6(k2_funcop_1(A,B)),C)))) & k1_funct_2(A,k2_relat_1(B)) = k2_relat_1(k7_funct_6(k2_funcop_1(A,B))))) # label(t66_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5469 (all A all B all C k10_finseq_1(k1_funct_2(A,B),k1_funct_2(A,C)) = k9_funct_6(A,k10_finseq_1(B,C))) # label(t81_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5470 (all A all B (k1_xboole_0 != A -> k4_funct_6(k2_funcop_1(A,B)) = B & B = k3_card_3(k2_funcop_1(A,B)))) # label(t43_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5471 (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]. 43.97/42.83 5472 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k9_funct_6(A,B) = C <-> k1_relat_1(B) = k1_relat_1(C) & (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_2(A,k1_funct_1(B,D))))))))) # label(d9_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5473 (all A (v1_funct_1(A) & v1_relat_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> ((all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(B,k2_relat_1(A)) -> v2_funct_1(B)))) <-> v2_funct_1(k7_funct_6(A)))))) # label(t59_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5474 (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(B,k1_relat_1(D)) & r2_hidden(A,k1_relat_1(C)) -> (all E all F (k1_funct_1(k7_funct_6(k10_finseq_1(C,D)),k10_finseq_1(A,B)) = k10_finseq_1(E,F) <-> k1_funct_1(k15_funct_3(C,D),k4_tarski(A,B)) = k4_tarski(E,F)))))))) # label(t68_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5475 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k2_funct_6(A) = B <-> k1_relat_1(B) = k10_relat_1(A,k1_funct_6(k2_relat_1(A))) & (all C (r2_hidden(C,k10_relat_1(A,k1_funct_6(k2_relat_1(A)))) -> k1_funct_1(B,C) = k1_funct_5(k1_funct_1(A,C))))))))) # label(d2_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5476 (all A all B all C k2_funcop_1(k2_zfmisc_1(B,A),C) = k2_funct_4(k2_funcop_1(k2_zfmisc_1(A,B),C))) # label(t12_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5477 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(k6_funct_6(k10_finseq_1(A,B)),C) = k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(k6_funct_6(k10_finseq_1(A,B))) = k3_xboole_0(k1_relat_1(A),k1_relat_1(B)))))) # label(t62_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5478 (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]. 43.97/42.83 5479 (all A all B all C all D all E all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k1_relat_1(F),A) & r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) -> r2_hidden(F,k4_partfun1(A,k4_partfun1(B,C))) | -r2_hidden(k4_funct_5(F),k4_partfun1(k2_zfmisc_1(A,B),C)) & -r2_hidden(k6_funct_5(F),k4_partfun1(k2_zfmisc_1(B,A),C))))) # label(t26_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5480 (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))) -> k1_xboole_0 = B | (all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (all G all H (E = k1_funct_1(D,G) & F = k1_funct_1(k10_funct_6(D),H) & r2_hidden(H,B) & r2_hidden(G,A) -> B = k1_relat_1(E) & r1_tarski(k2_relat_1(F),C) & r1_tarski(k2_relat_1(E),C) & A = k1_relat_1(F) & k1_funct_1(F,G) = k1_funct_1(E,H))))))) | A = k1_xboole_0))) # label(t86_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5481 (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]. 43.97/42.83 5482 (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)) & C = k1_funct_1(B,A) -> 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]. 43.97/42.83 5483 (all A all B (r1_tarski(A,k1_funct_6(B)) -> k1_funct_6(A) = A)) # label(t30_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5484 (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]. 43.97/42.83 5485 (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) -> k10_relat_1(B,k1_funct_6(k2_relat_1(B))) = k1_relat_1(C) & (all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(k4_funct_5(B),k4_tarski(D,A)) = k1_funct_1(C,D) & r2_hidden(k4_tarski(D,A),k1_relat_1(k4_funct_5(B)))))))))) # label(t51_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5486 $T # label(dt_k4_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5487 (all A (v1_funct_1(A) & v1_relat_1(A) -> k2_relat_1(k7_funct_6(A)) = k4_card_3(k3_funct_6(A)))) # label(t58_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5488 (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]. 43.97/42.83 5489 (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]. 43.97/42.83 5490 (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(F,k1_funct_2(k2_zfmisc_1(A,B),C)) | -r2_hidden(k5_funct_5(F),k1_funct_2(B,k1_funct_2(A,C))) & -r2_hidden(k3_funct_5(F),k1_funct_2(A,k1_funct_2(B,C)))))) # label(t21_funct_6) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5491 (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(k4_tarski(A,A),B) & r2_hidden(A,k1_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,k2_relat_1(k1_sysrel(B))) -> r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k2_relat_1(B))) & (r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,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,k2_relat_1(k1_sysrel(B))) -> r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_relat_1(B))))) # label(t46_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5492 $T # label(t11_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5493 (all A all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) -> k2_relat_1(k4_xboole_0(B,k6_relat_1(A))) = k4_xboole_0(k2_relat_1(B),k2_relat_1(k6_relat_1(A)))) & (k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) = k1_xboole_0 -> 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)))))) # label(t39_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5494 (all A all B all C all D all E (v1_relat_1(E) -> (r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(C,B) & r1_xboole_0(A,B) -> r2_hidden(D,A) & -r2_hidden(D,B) & -r2_hidden(C,A)) & (r1_xboole_0(A,B) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r2_hidden(D,A) & r2_hidden(k4_tarski(C,D),E) -> r2_hidden(C,B) & -r2_hidden(D,B) & -r2_hidden(C,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,B) & r2_hidden(C,A) & -r2_hidden(D,A)) & (r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r2_hidden(C,A) & r2_hidden(k4_tarski(C,D),E) & r1_xboole_0(A,B) -> -r2_hidden(D,A) & r2_hidden(D,B) & -r2_hidden(C,B)))) # label(t22_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5495 (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]. 43.97/42.83 5496 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (B = k5_relat_1(B,A) & k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) & k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 & A = k5_relat_1(A,B) -> k1_sysrel(B) = k1_sysrel(A)) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),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) & k5_relat_1(B,A) = A -> k1_sysrel(B) = k1_sysrel(A)))))) # label(t59_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5497 (all A all B (k4_xboole_0(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k4_xboole_0(A,B)) & k3_xboole_0(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k3_xboole_0(A,B)) & k6_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k6_relat_1(A),k6_relat_1(B)))) # label(t32_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5498 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(fc1_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5499 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k2_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C)) = k5_relat_1(k2_xboole_0(A,B),C) & k5_relat_1(A,k2_xboole_0(B,C)) = k2_xboole_0(k5_relat_1(A,B),k5_relat_1(A,C)))))))) # label(t20_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5500 $T # label(t3_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5501 $T # label(t21_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5502 (all A (v1_relat_1(A) -> (k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) = k1_xboole_0 & r1_tarski(A,k5_relat_1(A,A)) -> k6_relat_1(k2_relat_1(A)) = k3_xboole_0(A,k6_relat_1(k2_relat_1(A)))) & (r1_tarski(A,k5_relat_1(A,A)) & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> k6_relat_1(k1_relat_1(A)) = k3_xboole_0(A,k6_relat_1(k1_relat_1(A)))))) # label(t41_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5503 $T # label(t10_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5504 (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]. 43.97/42.83 5505 (all A all B -(k1_xboole_0 != A & -(k2_relat_1(k2_zfmisc_1(A,B)) = B & k1_relat_1(k2_zfmisc_1(A,B)) = A) & B != k1_xboole_0)) # label(t12_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5506 (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 & C = k5_relat_1(C,C) -> r2_hidden(A,k4_xboole_0(k1_relat_1(C),k1_relat_1(k1_sysrel(C)))) & r2_hidden(B,k1_relat_1(k1_sysrel(C))) | B = A) & (k5_relat_1(C,C) = C & r2_hidden(k4_tarski(A,B),C) & k5_relat_1(k4_xboole_0(C,k1_sysrel(C)),C) = k1_xboole_0 -> B = A | 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)))))) # label(t48_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5507 (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]. 43.97/42.83 5508 (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]. 43.97/42.83 5509 (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]. 43.97/42.83 5510 (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]. 43.97/42.83 5511 (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]. 43.97/42.83 5512 (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]. 43.97/42.83 5513 $T # label(t2_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5514 (all A (v1_relat_1(A) -> (r1_tarski(A,k5_relat_1(A,A)) & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> r1_tarski(k6_relat_1(k1_relat_1(A)),A)) & (k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) = k1_xboole_0 & r1_tarski(A,k5_relat_1(A,A)) -> r1_tarski(k6_relat_1(k2_relat_1(A)),A)))) # label(t40_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5515 $T # label(t5_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.83 5516 (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,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)))))) # label(t55_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5517 (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]. 43.97/42.84 5518 $T # label(t17_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5519 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) & A = k5_relat_1(A,B) -> r1_tarski(k1_sysrel(A),k1_sysrel(B))) & (A = k5_relat_1(B,A) & k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 -> r1_tarski(k1_sysrel(A),k1_sysrel(B))))))) # label(t58_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5520 $T # label(t28_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5521 (all A (v1_relat_1(A) -> (k5_relat_1(A,A) = A & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> k1_relat_1(A) = k2_relat_1(k1_sysrel(A)) & k1_relat_1(A) = k1_relat_1(k1_sysrel(A))) & (k5_relat_1(A,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(k1_sysrel(A)) = k2_relat_1(A)))) # label(t50_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5522 $T # label(t23_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5523 (all A all B all C all D (v1_relat_1(D) -> (r1_tarski(D,k2_zfmisc_1(A,B)) & r1_tarski(C,B) -> k8_relat_1(C,D) = k3_xboole_0(D,k2_zfmisc_1(A,C))) & (r1_tarski(C,A) & r1_tarski(D,k2_zfmisc_1(A,B)) -> k3_xboole_0(D,k2_zfmisc_1(C,B)) = k7_relat_1(D,C)))) # label(t24_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5524 $T # label(t6_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5525 $T # label(t19_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5526 (all A (v1_relat_1(A) -> (k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) = k1_xboole_0 -> k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A)))),k6_relat_1(k1_relat_1(k1_sysrel(A)))) = k1_xboole_0) & (k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) = k1_xboole_0 -> k1_xboole_0 = k5_relat_1(k6_relat_1(k1_relat_1(k1_sysrel(A))),k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A)))))))) # label(t56_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5527 (all A all B all C all D all E (v1_relat_1(E) -> (A = k2_xboole_0(C,D) & 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]. 43.97/42.84 5528 (all A k1_tarski(k4_tarski(A,A)) = k6_relat_1(k1_tarski(A))) # label(t30_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5529 (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]. 43.97/42.84 5530 (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]. 43.97/42.84 5531 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_sysrel(C)) -> r2_hidden(A,k1_relat_1(k1_sysrel(C))) & A = B))) # label(t44_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5532 (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]. 43.97/42.84 5533 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),B) & k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) = k1_xboole_0 -> k6_relat_1(A) = k7_relat_1(B,A)) & (k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) = k1_xboole_0 & r1_tarski(k6_relat_1(A),B) -> k8_relat_1(A,B) = k6_relat_1(A)))) # label(t54_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5534 (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]. 43.97/42.84 5535 (all A (v1_relat_1(A) -> r1_tarski(k1_relat_1(k1_sysrel(A)),k1_relat_1(A)) & r1_tarski(k2_relat_1(k1_sysrel(A)),k1_relat_1(A)) & r1_tarski(k1_relat_1(k1_sysrel(A)),k2_relat_1(A)) & r1_tarski(k2_relat_1(k1_sysrel(A)),k2_relat_1(A)))) # label(t51_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5536 (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]. 43.97/42.84 5537 $T # label(t9_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5538 $T # label(t4_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5539 (all A (v1_relat_1(A) -> k3_xboole_0(A,k6_relat_1(k1_relat_1(A))) = k1_sysrel(A))) # label(d1_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5540 (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) -> k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k2_relat_1(B))))) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),B) & r1_tarski(k1_relat_1(B),A) -> k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B)))) # label(t42_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5541 (all A (v1_relat_1(A) -> r1_tarski(k1_sysrel(A),k6_relat_1(k1_relat_1(A))) & r1_tarski(k1_sysrel(A),A))) # label(t43_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5542 $T # label(t7_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5543 (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]. 43.97/42.84 5544 $T # label(t8_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5545 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) & k5_relat_1(k4_xboole_0(C,k6_relat_1(k1_relat_1(C))),C) = k1_xboole_0 & C = k5_relat_1(C,C) -> B = A | 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)))) & (r2_hidden(k4_tarski(A,B),C) & k1_xboole_0 = k5_relat_1(C,k4_xboole_0(C,k6_relat_1(k1_relat_1(C)))) & k5_relat_1(C,C) = C -> r2_hidden(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]. 43.97/42.84 5546 (all A k6_relat_1(A) = k5_relat_1(k6_relat_1(A),k6_relat_1(A))) # label(t29_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5547 (all A (v1_relat_1(A) -> k1_sysrel(A) = k6_relat_1(k1_relat_1(k1_sysrel(A))))) # label(t47_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5548 $T # label(t1_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5549 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 & k5_relat_1(B,A) = A -> k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),A)) & (A = k5_relat_1(A,B) & k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) -> k1_xboole_0 = k5_relat_1(A,k4_xboole_0(B,k6_relat_1(k1_relat_1(B))))))))) # label(t57_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5550 (all A (v1_relat_1(A) -> v1_relat_1(k1_sysrel(A)))) # label(dt_k1_sysrel) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5551 (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]. 43.97/42.84 5552 (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]. 43.97/42.84 5553 (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]. 43.97/42.84 5554 (all A all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r1_tarski(k1_card_1(A),B) & (all D (r2_hidden(D,A) -> r1_tarski(k1_card_1(D),C))) -> r1_tarski(k1_card_1(k3_tarski(A)),k2_card_2(B,C))))))) # label(t60_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5555 (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]. 43.97/42.84 5556 (all A all B (v1_finset_1(B) -> v1_finset_1(A) | B = k1_xboole_0 | k1_card_1(k2_zfmisc_1(A,B)) = k1_card_1(A) & r2_wellord2(k2_zfmisc_1(A,B),A))) # label(t81_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5557 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (r2_hidden(A,B) & r2_hidden(C,D) -> r2_hidden(k2_card_2(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]. 43.97/42.84 5558 (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]. 43.97/42.84 5559 (all A (v3_ordinal1(A) -> (v1_finset_1(A) <-> r2_hidden(A,k5_ordinal2)))) # label(t7_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5560 (all A (k1_xboole_0 = A <-> k1_card_1(A) = np__0)) # label(t17_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5561 $T # label(t16_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5562 (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) & r1_tarski(A,B)) & -(r1_tarski(C,D) & r2_hidden(A,B)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r2_hidden(C,D) & r2_hidden(A,B))) -> r1_tarski(k1_card_2(C,A),k1_card_2(B,D)) & r1_tarski(k1_card_2(A,C),k1_card_2(B,D))))))))))) # label(t41_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5563 (all A (v1_finset_1(k1_card_1(A)) <-> v1_finset_1(A))) # label(t1_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5564 (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]. 43.97/42.84 5565 (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(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))))))))) # label(t57_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5566 (all A (v1_card_1(A) -> r1_tarski(np__0,A))) # label(t19_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5567 (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]. 43.97/42.84 5568 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-(A = k1_card_2(A,B) & A = k1_card_2(B,A)) & (r1_tarski(B,A) | r2_hidden(B,A)) & -v1_finset_1(A)))))) # label(t34_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5569 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_nat_1(k1_card_4(np__2,A),k1_nat_1(k2_nat_1(np__2,B),np__1)) = k2_nat_1(k1_card_4(np__2,C),k1_nat_1(k2_nat_1(np__2,D),np__1)) -> D = B & A = C))))))))) # label(t52_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5570 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> v1_finset_1(B) | r2_hidden(A,B) & r1_tarski(A,B)))))) # label(t13_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5571 (all A all B (v1_card_4(A) & v1_card_4(B) -> v1_card_4(k2_zfmisc_1(A,B)))) # label(t55_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5572 (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]. 43.97/42.84 5573 (all A (-((all B -(k3_card_1(np__0) = k1_card_1(B) & r1_tarski(B,A))) & -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]. 43.97/42.84 5574 (all A (v1_card_1(A) -> (r2_hidden(np__1,A) <-> r1_tarski(np__2,A)))) # label(t25_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5575 (all A all B (k2_card_1(A) = k2_card_1(B) <-> k1_card_1(A) = k1_card_1(B))) # label(t20_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5576 (all A all B (v1_card_4(A) -> v1_card_4(k3_xboole_0(B,A)) & v1_card_4(k3_xboole_0(A,B)))) # label(t48_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5577 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (A != np__0 -> r1_tarski(B,k2_card_2(B,A)) & r1_tarski(B,k2_card_2(A,B))))))) # label(t73_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5578 (all A (v1_finset_1(A) -> r2_hidden(k1_card_1(A),k3_card_1(np__0)) & r2_hidden(k1_card_1(A),k5_ordinal2))) # label(t3_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5579 (all A (v3_ordinal1(A) -> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k15_ordinal2(A,k1_ordinal1(k4_ordinal2)) = k14_ordinal2(A,B))))) # label(t29_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5580 (all A all B (v1_card_4(B) & v1_card_4(A) -> v1_card_4(k2_xboole_0(A,B)))) # label(t47_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5581 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (k2_card_1(A) = k2_card_1(B) <-> B = A))))) # label(t21_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5582 (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]. 43.97/42.84 5583 (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]. 43.97/42.84 5584 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> k1_card_2(A,A) = A))) # label(t33_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5585 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -(-(k1_card_1(A) = k1_card_1(k4_finseq_2(B,A)) & r2_wellord2(k4_finseq_2(B,A),A)) & np__0 != B & -v1_finset_1(A)))))) # label(t86_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5586 (all A all B -(-v1_finset_1(A) & -(r2_wellord2(k2_xboole_0(A,B),A) & k1_card_1(k2_xboole_0(A,B)) = k1_card_1(A)) & (r2_wellord2(B,A) | r2_wellord2(A,B)))) # label(t35_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5587 (all A (v1_card_1(A) & v1_finset_1(A) -> (all B (v1_card_1(B) & v1_finset_1(B) -> v1_finset_1(k1_card_2(A,B)))))) # label(t38_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5588 (all A all B -(-v1_finset_1(A) & (r2_hidden(k1_card_1(B),k1_card_1(A)) | r1_tarski(k1_card_1(B),k1_card_1(A))) & -(k1_card_1(A) = k1_card_1(k2_xboole_0(A,B)) & r2_wellord2(k2_xboole_0(A,B),A)))) # label(t37_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5589 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> k14_ordinal2(B,k1_ordinal1(A)) = k14_ordinal2(k1_ordinal1(B),A) & k14_ordinal2(k1_ordinal1(B),A) = k14_ordinal2(B,k1_nat_1(A,np__1)))))) # label(t28_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5590 (all A (v1_funct_1(A) & v1_relat_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]. 43.97/42.84 5591 (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]. 43.97/42.84 5592 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r1_tarski(A,B) | r2_hidden(A,B) -> r1_tarski(k1_card_2(C,A),k1_card_2(B,C)) & r1_tarski(k1_card_2(A,C),k1_card_2(B,C)) & r1_tarski(k1_card_2(A,C),k1_card_2(C,B)) & r1_tarski(k1_card_2(C,A),k1_card_2(C,B))))))))) # label(t42_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5593 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> -r1_tarski(B,A) & -r2_hidden(B,A) | v1_finset_1(B)))))) # label(t26_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5594 (all A (v1_finset_1(A) -> v1_card_4(A))) # label(t43_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5595 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> v4_ordinal1(A)))) # label(t32_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5596 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> (r2_wellord2(B,A) -> B = A))))) # label(t6_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5597 (all A (v1_card_1(A) & v1_finset_1(A) -> (all B (v1_card_1(B) & v1_finset_1(B) -> v1_finset_1(k2_card_2(A,B)))))) # label(t40_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5598 (all A all B (v1_finset_1(A) -> k1_card_1(B) = k2_card_2(k1_card_1(B),k1_card_1(A)) | v1_finset_1(B) | A = k1_xboole_0)) # label(t85_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5599 (all A all B (k1_card_1(A) = k1_card_2(k1_card_1(A),k1_card_1(B)) & r2_hidden(k1_card_1(B),k1_card_1(A)) -> k1_card_1(A) = k1_card_1(k4_xboole_0(A,B)))) # label(t76_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5600 (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]. 43.97/42.84 5601 (all A (v3_ordinal1(A) -> (-v1_finset_1(A) <-> r1_ordinal1(k5_ordinal2,A)))) # label(t8_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5602 (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]. 43.97/42.84 5603 $T # label(t18_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5604 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> k2_card_2(A,A) = A))) # label(t77_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5605 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (r2_hidden(A,B) & r2_hidden(C,D) -> r2_hidden(k1_card_2(A,C),k1_card_2(B,D)) & r2_hidden(k1_card_2(C,A),k1_card_2(B,D))))))))))) # label(t74_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5606 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(np__0,B) -> -r1_tarski(B,A) & -r2_hidden(B,A) | A = k2_card_2(A,B) & k2_card_2(B,A) = A | v1_finset_1(A)))))) # label(t78_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5607 (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]. 43.97/42.84 5608 (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]. 43.97/42.84 5609 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -((r1_tarski(B,A) | r2_hidden(B,A)) & -(r1_tarski(k2_card_2(A,B),A) & r1_tarski(k2_card_2(B,A),A)) & -v1_finset_1(A)))))) # label(t79_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5610 (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]. 43.97/42.84 5611 (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]. 43.97/42.84 5612 (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]. 43.97/42.84 5613 (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]. 43.97/42.84 5614 (all A (v3_ordinal1(A) -> (r1_ordinal1(k5_ordinal2,A) -> k14_ordinal2(k4_ordinal2,A) = A))) # label(t31_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5615 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k2_newton(A,B) = k1_card_4(A,B))) # label(redefinition_k1_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5616 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> -(-(r1_tarski(k3_card_2(C,A),k3_card_2(C,B)) & r1_tarski(k3_card_2(A,C),k3_card_2(B,C))) & C != np__0 & (r2_hidden(A,B) | r1_tarski(A,B))))))))) # label(t71_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5617 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r1_tarski(A,B) | r2_hidden(A,B) -> r1_tarski(k2_card_2(C,A),k2_card_2(C,B)) & r1_tarski(k2_card_2(C,A),k2_card_2(B,C)) & r1_tarski(k2_card_2(A,C),k2_card_2(B,C)) & r1_tarski(k2_card_2(A,C),k2_card_2(C,B))))))))) # label(t69_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5618 (all A (v3_ordinal1(A) -> k4_xboole_0(k1_ordinal1(A),k1_tarski(A)) = A)) # label(t5_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5619 (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]. 43.97/42.84 5620 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.84 5621 (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]. 43.97/42.84 5622 $T # label(t64_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5623 (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]. 43.97/42.84 5624 (all A (-v1_finset_1(A) -> k1_card_1(k2_zfmisc_1(A,A)) = k1_card_1(A) & r2_wellord2(k2_zfmisc_1(A,A),A))) # label(t80_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5625 (all A ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k1_card_1(B) = k1_card_1(A))) <-> v1_finset_1(A))) # label(t4_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5626 (all A (v1_card_4(A) <-> (exists B (v1_relat_1(B) & v1_funct_1(B) & k1_relat_1(B) = k5_numbers & r1_tarski(A,k2_relat_1(B)))))) # label(t45_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 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) -> (-(-(r2_hidden(C,D) & r2_hidden(A,B)) & -(r1_tarski(C,D) & r2_hidden(A,B)) & -(r1_tarski(A,B) & r1_tarski(C,D)) & -(r1_tarski(A,B) & r2_hidden(C,D))) -> r1_tarski(k2_card_2(C,A),k2_card_2(B,D)) & r1_tarski(k2_card_2(A,C),k2_card_2(B,D))))))))))) # label(t68_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5628 (all A all B (v1_finset_1(B) -> k1_card_1(A) = k1_card_1(k2_xboole_0(A,B)) & r2_wellord2(k2_xboole_0(A,B),A) | v1_finset_1(A))) # label(t36_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5629 (all A (r2_hidden(A,a_0_2_card_4) <-> (exists B exists C exists D (m2_subset_1(C,k1_numbers,k5_numbers) & A = f1_s3_card_4(B,C,D) & p1_s3_card_4(B,C,D) & m2_subset_1(D,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_2_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5630 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> -(k3_newton(B,A) = np__0 & -(np__0 != A & np__0 = B)) & -(np__0 != A & B = np__0 & k3_newton(B,A) != np__0))))) # label(t51_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5631 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_card_1(k1_relat_1(C)),A) & (all D (r2_hidden(D,k1_relat_1(C)) -> r1_tarski(k1_card_1(k1_funct_1(C,D)),B))) -> r1_tarski(k1_card_1(k3_card_3(C)),k2_card_2(A,B))))))))) # label(t59_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5632 $T # label(t12_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5633 (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]. 43.97/42.84 5634 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) <-> (all B (v3_ordinal1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,A) -> r2_hidden(k14_ordinal2(B,C),A))))))))) # label(t27_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5635 $T # label(t10_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5636 (all A (-v1_xboole_0(A) -> r2_wellord2(k4_finseq_2(np__1,A),A) & k1_card_1(A) = k1_card_1(k4_finseq_2(np__1,A)))) # label(t56_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5637 (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]. 43.97/42.84 5638 (all A (r2_hidden(A,a_0_1_card_4) <-> (exists B exists C (p1_s2_card_4(B,C) & f1_s2_card_4(B,C) = A & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_1_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5639 (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))) & np__0 != A & -r1_tarski(k3_card_2(A,C),k3_card_2(B,D))))))))))) # label(t70_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5640 (all A (v1_card_4(A) <-> r1_tarski(k1_card_1(A),k3_card_1(np__0)))) # label(d1_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5641 (all A (v1_card_1(A) -> (v1_finset_1(A) <-> r2_hidden(A,k3_card_1(np__0))))) # label(t9_card_4) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5642 (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(k4_toler_1(A,B),k3_toler_1(A,B)))) # label(t72_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5643 $T # label(d1_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5644 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (all D (r2_hidden(k4_tarski(B,D),C) <-> r2_hidden(D,k6_eqrel_1(A,C,B)))))) # label(t54_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5645 $T # label(t10_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5646 $T # label(t57_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5647 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> (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]. 43.97/42.84 5648 $T # label(t63_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5649 (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) <-> (all D all E (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k4_tarski(D,E),B))))))) # label(d3_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5650 $T # label(d5_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5651 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (exists C m1_toler_1(C,A,B)))) # label(existence_m1_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5652 (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 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]. 43.97/42.84 5653 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C (v1_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) -> (k4_toler_1(A,B) = k4_toler_1(A,C) -> B = C))))) # label(t65_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5654 $T # label(t12_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5655 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C all D -(r2_hidden(k4_tarski(C,D),B) & (all E (v1_toler_1(E,A,B) & m1_toler_1(E,A,B) -> -(r2_hidden(D,E) & r2_hidden(C,E)))))))) # label(t46_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5656 (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]. 43.97/42.84 5657 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> k3_tarski(k4_toler_1(A,B)) = A)) # label(t66_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5658 (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]. 43.97/42.84 5659 $T # label(t36_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5660 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v1_relat_2(B) -> (exists C (m1_toler_1(C,A,B) & v1_toler_1(C,A,B))))) # label(rc1_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5661 (all A all B (v1_relat_2(B) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & m2_relset_1(B,k3_tarski(A),k3_tarski(A)) & v3_relat_2(B) -> (all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,k3_tarski(A),k3_tarski(A)) & m2_relset_1(C,k3_tarski(A),k3_tarski(A)) -> ((all D all E ((exists F (r2_hidden(D,F) & r2_hidden(E,F) & r2_hidden(F,A))) <-> r2_hidden(k4_tarski(D,E),B))) & (all D all E (r2_hidden(k4_tarski(D,E),C) <-> (exists F (r2_hidden(F,A) & r2_hidden(D,F) & r2_hidden(E,F))))) -> B = C))))) # label(t52_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5662 (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) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v1_relat_2(C) -> ((all D (m1_toler_1(D,A,B) & v1_toler_1(D,A,B) <-> m1_toler_1(D,A,C) & v1_toler_1(D,A,C))) -> B = C))))) # label(t53_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5663 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(k6_partfun1(A),B))) # label(t50_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5664 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> ((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]. 43.97/42.84 5665 (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) -> (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]. 43.97/42.84 5666 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (m1_toler_1(k1_xboole_0,A,B) & v1_toler_1(k1_xboole_0,A,B) -> k1_xboole_0 = B))) # label(t38_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5667 (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]. 43.97/42.84 5668 (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 -((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]. 43.97/42.84 5669 $T # label(t30_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5670 (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]. 43.97/42.84 5671 (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 (m1_toler_1(C,A,B) -> ((all D -(r2_hidden(D,A) & (all E -(r2_hidden(E,C) & -r2_hidden(k4_tarski(D,E),B))) & -r2_hidden(D,C))) <-> v1_toler_1(C,A,B)))))) # label(d4_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5672 (all A exists B (m2_relset_1(B,k3_tarski(A),k3_tarski(A)) & (all C (r2_hidden(C,A) -> m1_toler_1(C,k3_tarski(A),B))) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & v3_relat_2(B) & v1_relat_2(B))) # label(t51_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5673 (all A all B all C (v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v1_relat_2(C) -> (all D ((all E (r2_hidden(E,D) <-> r2_hidden(B,E) & v1_toler_1(E,A,C) & m1_toler_1(E,A,C))) -> k6_eqrel_1(A,C,B) = k3_tarski(D))))) # label(t58_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5674 (all A k5_relset_1(A,A,k1_eqrel_1(A)) = A) # label(t13_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5675 $T # label(dt_k4_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5676 $T # label(d2_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5677 (all A all B all C (v1_relat_2(B) & v3_relat_2(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> k2_toler_1(A,B,C) = k2_wellord1(B,C))) # label(redefinition_k2_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5678 (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]. 43.97/42.84 5679 (all A all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k4_tarski(B,C),k1_eqrel_1(A)))) # label(t15_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5680 (all A v7_relat_2(k1_eqrel_1(A))) # label(t19_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5681 $T # label(dt_m1_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5682 $T # label(t24_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5683 $T # label(dt_k3_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5684 (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) -> r1_tarski(D,k6_eqrel_1(A,B,C))))))) # label(t70_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5685 $T # label(t44_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5686 (all A v6_relat_2(k1_eqrel_1(A))) # label(t21_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5687 (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 (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]. 43.97/42.84 5688 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> (r2_hidden(k4_tarski(B,B),C) <-> r2_hidden(B,A)))) # label(t27_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5689 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(B,k7_relset_1(A,A,A,A,B,B)))) # label(t74_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5690 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> k3_tarski(k3_toler_1(A,B)) = A)) # label(t67_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5691 $T # label(t55_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5692 $T # label(t62_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5693 (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]. 43.97/42.84 5694 $T # label(t20_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5695 (all A all B all C (r2_hidden(C,k3_relat_1(k1_eqrel_1(A))) & r2_hidden(B,k3_relat_1(k1_eqrel_1(A))) -> r2_hidden(k4_tarski(B,C),k1_eqrel_1(A)))) # label(t16_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5696 (all A all B all C (v1_partfun1(B,A,A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> 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]. 43.97/42.84 5697 $T # label(t56_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5698 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (v8_relat_2(B) -> (all C (r2_hidden(C,A) -> m1_toler_1(k6_eqrel_1(A,B,C),A,B) & v1_toler_1(k6_eqrel_1(A,B,C),A,B)))))) # label(t69_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5699 $T # label(t31_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5700 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C (k3_toler_1(A,B) = C <-> (all D (m1_toler_1(D,A,B) <-> r2_hidden(D,C))))))) # label(d6_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5701 $T # label(t14_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5702 $T # label(t23_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5703 $T # label(t17_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5704 $T # label(t26_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5705 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> r3_relat_2(B,A))) # label(t29_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5706 $T # label(t48_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5707 (all A all B (r2_hidden(B,f1_s1_toler_1) & p1_s1_toler_1(A,B) & r2_hidden(A,f1_s1_toler_1) -> p1_s1_toler_1(B,A))) & (all A (r2_hidden(A,f1_s1_toler_1) -> p1_s1_toler_1(A,A))) -> (exists A (v1_relat_2(A) & v1_partfun1(A,f1_s1_toler_1,f1_s1_toler_1) & m2_relset_1(A,f1_s1_toler_1,f1_s1_toler_1) & (all B all C (r2_hidden(B,f1_s1_toler_1) & r2_hidden(C,f1_s1_toler_1) -> (r2_hidden(k4_tarski(B,C),A) <-> p1_s1_toler_1(B,C)))) & v3_relat_2(A))) # label(s1_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5708 $T # label(t61_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5709 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(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]. 43.97/42.84 5710 (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) -> v1_partfun1(k1_toler_1(C,A),A,A) & m2_relset_1(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]. 43.97/42.84 5711 (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) -> m1_toler_1(k1_tarski(C),A,B))))) # label(t41_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5712 $T # label(t60_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5713 $T # label(t35_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5714 $T # label(t22_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5715 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> r1_relat_2(B,A))) # label(t28_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5716 (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 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]. 43.97/42.84 5717 $T # label(t18_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5718 $T # label(t11_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.84 5719 (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) -> (m1_toler_1(A,B,C) -> r1_tarski(A,B)))) # label(t43_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5720 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(B,k1_eqrel_1(A)))) # label(t49_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5721 $T # label(t37_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5722 (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) -> (exists D (v1_toler_1(D,A,B) & m1_toler_1(D,A,B) & r1_tarski(C,D))))))) # label(t45_toler_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5723 (all A (m2_finseq_1(A,k1_numbers) -> (k3_finseq_1(A) = np__0 | np__1 = k3_finseq_1(A) -> v1_rfinseq(A)))) # label(t31_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5724 (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)) -> r2_hidden(D,k4_finseq_1(B)) & k1_funct_1(B,D) = k1_funct_1(k16_finseq_1(A,B,C),D)))))))))) # label(t19_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5725 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> r1_rfinseq(A,A))) # label(reflexivity_r1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5726 $T # label(t12_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5727 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(A) = k1_relat_1(B) -> ((exists C (v1_funct_2(C,k1_relat_1(A),k1_relat_1(A)) & v3_funct_2(C,k1_relat_1(A),k1_relat_1(A)) & m2_relset_1(C,k1_relat_1(A),k1_relat_1(A)) & A = k5_relat_1(C,B) & v1_funct_1(C))) <-> r1_rfinseq(A,B))))))) # label(t6_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5728 (all A (m2_finseq_1(A,k1_numbers) -> (exists B (v1_rfinseq(B) & r1_rfinseq(A,B) & m2_finseq_1(B,k1_numbers))))) # label(t35_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5729 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (v1_rfinseq(B) & m2_finseq_1(B,k1_numbers) -> (r1_rfinseq(A,B) -> A = B))))) # label(t36_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5730 (all A (m2_finseq_1(A,k1_numbers) & v1_rfinseq(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_finseq_1(k16_finseq_1(k1_numbers,A,B),k1_numbers) & v1_rfinseq(k16_finseq_1(k1_numbers,A,B)))))) # label(t33_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5731 (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]. 43.97/42.85 5732 (all A (v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) & v1_funct_1(B) & v1_relat_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]. 43.97/42.85 5733 (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]. 43.97/42.85 5734 (exists A (m1_finseq_1(A,k1_numbers) & v1_relat_1(A) & v1_finseq_1(A) & v1_rfinseq(A) & v1_finset_1(A) & v1_funct_1(A))) # label(rc1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5735 (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) -> k7_finseq_1(k16_finseq_1(A,B,C),k9_finseq_1(D)) = B)))))))) # label(t20_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5736 (all A (m2_finseq_1(A,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,k4_finseq_1(A)) & r2_hidden(C,k4_finseq_1(A)) -> r1_xreal_0(C,B) | r1_xreal_0(k2_seq_1(k5_numbers,k1_numbers,A,C),k2_seq_1(k5_numbers,k1_numbers,A,B))))))) <-> v1_rfinseq(A)))) # label(t32_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5737 (all A (m2_finseq_1(A,k1_numbers) -> (np__0 != k3_finseq_1(A) -> k2_seq_1(k5_numbers,k1_numbers,A,np__1) = k15_rvsum_1(k2_rfinseq(A))))) # label(t29_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5738 (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) -> (r1_rfinseq(A,B) <-> (exists C (m2_relset_1(C,k4_finseq_1(B),k4_finseq_1(B)) & k5_relat_1(C,B) = A & 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]. 43.97/42.85 5739 (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 k4_card_1(k10_relat_1(A,C)) = k4_card_1(k10_relat_1(B,C))) <-> r1_rfinseq(A,B)))))) # label(t13_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5740 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_finset_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finset_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) -> k4_card_1(k10_relat_1(C,k1_tarski(D))) = k4_card_1(k10_relat_1(B,k1_tarski(D))))))))))))) # label(t11_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5741 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) -> k2_relat_1(A) = k2_relat_1(B)))))) # label(t1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5742 (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)) -> (D = k1_rfinseq(A,B,C) <-> 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)) -> (k6_finseq_1(A) = D <-> k1_rfinseq(A,B,C) = D)))))))) # label(d2_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5743 $T # label(t8_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5744 (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]. 43.97/42.85 5745 (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_rfinseq(A,C) & r1_rfinseq(A,B) -> r1_rfinseq(B,C)))))))) # label(t2_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5746 (all A (m2_finseq_1(A,k1_numbers) -> k4_finseq_1(A) = k3_funct_2(k5_numbers,k1_numbers,k9_rvsum_1(np__0,A),k1_tarski(np__0)))) # label(t38_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5747 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k2_rfinseq(k1_rfinseq(k1_numbers,A,B)) = k1_rfinseq(k1_numbers,k2_rfinseq(A),B))))) # label(t28_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5748 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((all C k1_card_1(k10_relat_1(B,k1_tarski(C))) = k1_card_1(k10_relat_1(A,k1_tarski(C)))) <-> r1_rfinseq(A,B)))))) # label(d1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5749 (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(C),A) & r1_tarski(k2_relat_1(B),A) -> ((all D (m1_subset_1(D,A) -> k1_card_1(k10_relat_1(C,k1_tarski(D))) = k1_card_1(k10_relat_1(B,k1_tarski(D))))) <-> r1_rfinseq(B,C))))))))) # label(t5_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5750 (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 (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (r1_rfinseq(k7_finseq_1(A,C),k7_finseq_1(B,C)) <-> r1_rfinseq(A,B)))))))) # label(t14_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5751 (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]. 43.97/42.85 5752 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) <-> (all C k1_card_1(k10_relat_1(B,C)) = k1_card_1(k10_relat_1(A,C)))))))) # label(t4_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5753 (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]. 43.97/42.85 5754 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,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))) | r1_xreal_0(k3_finseq_1(A),B)))))) # label(t30_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5755 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) -> (k2_seq_1(k5_numbers,k1_numbers,A,k3_finseq_1(A)) = k2_seq_1(k5_numbers,k1_numbers,B,k3_finseq_1(B)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,C) & r1_xreal_0(C,k5_real_1(k3_finseq_1(B),np__1)) -> k5_real_1(k2_seq_1(k5_numbers,k1_numbers,A,C),k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(C,np__1))) = k2_seq_1(k5_numbers,k1_numbers,B,C)))) & k3_finseq_1(A) = k3_finseq_1(B) <-> k2_rfinseq(A) = B))))) # label(d3_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5756 (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]. 43.97/42.85 5757 (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_rfinseq(A,B) -> k4_finseq_1(B) = k4_finseq_1(A) & k3_finseq_1(B) = k3_finseq_1(A)))))) # label(t16_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5758 (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 (v1_funct_1(C) & k1_relat_1(A) = k1_relat_1(C) & k1_relat_1(B) = k2_relat_1(C) & A = k5_relat_1(C,B) & v2_funct_1(C) & v1_relat_1(C)))))))) # label(t3_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5759 (all A (m2_finseq_1(A,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) & r2_hidden(B,k4_finseq_1(A)) -> r1_xreal_0(k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(B,np__1)),k2_seq_1(k5_numbers,k1_numbers,A,B))))) <-> v1_rfinseq(A)))) # label(d4_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5760 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) -> k1_card_1(k1_relat_1(B)) = k1_card_1(k1_relat_1(A))))))) # label(t7_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5761 (all A (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) -> (all B (v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> k4_card_1(k1_relat_1(A)) = k4_card_1(k1_relat_1(B))))))) # label(t10_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5762 (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]. 43.97/42.85 5763 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> v1_rfinseq(k1_rfinseq(k1_numbers,A,B)) & m2_finseq_1(k1_rfinseq(k1_numbers,A,B),k1_numbers))))) # label(t34_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5764 (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) -> (k1_nat_1(C,np__2) = k3_finseq_1(A) & k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(C,np__1)) = B -> 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]. 43.97/42.85 5765 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_finset_1(B) -> (exists C (v1_finseq_1(C) & r1_rfinseq(k7_relat_1(A,B),C) & v1_funct_1(C) & v1_relat_1(C))))))) # label(t18_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5766 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (B != np__0 -> k3_funct_2(k5_numbers,k1_numbers,A,k1_tarski(k6_real_1(C,B))) = k3_funct_2(k5_numbers,k1_numbers,k9_rvsum_1(B,A),k1_tarski(C))))))))) # label(t37_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5767 (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]. 43.97/42.85 5768 (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]. 43.97/42.85 5769 (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) -> (k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__1)) = B & C = k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__2)) & k1_nat_1(D,np__2) = k3_finseq_1(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)) = k2_rfinseq(A)))))))))) # label(t24_rfinseq) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5770 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,C) & r1_xboole_0(D,B)))) -> r1_tarski(C,k3_card_fil(A,C,B)) & m1_card_fil(k3_card_fil(A,C,B),A) & r2_hidden(B,k3_card_fil(A,C,B))))))))) # label(t14_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5771 (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]. 43.97/42.85 5772 (all A (v1_card_1(A) & -v2_card_1(A) -> (all B (v1_card_1(B) -> (k2_card_1(B) = A <-> B = k7_card_fil(A)))))) # label(d17_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5773 (all A (-v1_xboole_0(A) -> (all B (m2_card_fil(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))))))) # label(dt_m2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5774 (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]. 43.97/42.85 5775 (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(A) = k1_card_1(C))))))))) # label(d5_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5776 (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) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k5_subset_1(A,C,D),B)) & (r1_tarski(C,D) & r2_hidden(C,B) -> r2_hidden(D,B)))))) & -r2_hidden(k1_xboole_0,B)))))) # label(d1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5777 (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]. 43.97/42.85 5778 (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]. 43.97/42.85 5779 (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]. 43.97/42.85 5780 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]. 43.97/42.85 5781 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> r2_hidden(k3_subset_1(A,D),B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k4_subset_1(A,D,E),C)) & (r1_tarski(E,D) & r2_hidden(D,C) -> r2_hidden(E,C)))))) & -r2_hidden(A,C)))))))) # label(t7_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5782 (all A (-v1_finset_1(A) & v1_card_1(A) -> (r3_card_fil & v4_card_fil(A) -> v6_card_fil(A)))) # label(t31_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5783 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v4_card_fil(A)))) # label(t39_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5784 (all A all B (-v1_xboole_0(A) & m1_card_fil(B,A) -> k2_card_fil(A,k2_card_fil(A,B)) = B)) # label(involutiveness_k2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5785 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v2_card_fil(B,A) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(A)) & r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_tarski(C,D))))))))))) # label(d6_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5786 (exists A (v1_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & -v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) & v2_ordinal1(A))) # label(rc2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5787 (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]. 43.97/42.85 5788 (all A (v1_card_1(A) & -v2_card_1(A) & -v1_finset_1(A) -> v2_ordinal1(k7_card_fil(A)) & -v1_xboole_0(k7_card_fil(A)) & v1_card_1(k7_card_fil(A)) & -v1_finset_1(k7_card_fil(A)) & v3_ordinal1(k7_card_fil(A)) & v1_ordinal1(k7_card_fil(A)))) # label(fc4_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5789 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> (-r2_hidden(A,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(C,B) & r2_hidden(D,B) -> r2_hidden(k4_subset_1(A,C,D),B)))))) <-> m2_card_fil(B,A)))))) # label(d2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5790 (all A (-v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r2_hidden(k1_card_1(k1_card_fil(A,B)),k1_card_1(A)) <-> r2_hidden(B,k5_card_fil(A))))))) # label(t18_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5791 (all A (-v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) -> (all B (m2_card_fil(B,A) -> -(r2_card_fil(A,A,B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> -((all D -(r2_hidden(D,B) & r2_hidden(D,C))) & (all D all E (r2_hidden(D,C) & r2_hidden(E,C) -> D = E | r1_xboole_0(D,E))) & k1_card_1(C) = A))) & r1_tarski(k6_card_fil(A),B)))))) # label(t35_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5792 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v6_card_fil(A) -> v4_card_fil(A)))) # label(t30_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5793 (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]. 43.97/42.85 5794 (all A (-v1_finset_1(A) & v6_card_fil(A) & v1_card_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & -v1_finset_1(A) & v1_card_1(A) & v1_card_5(A) & v4_card_fil(A) & v2_card_1(A))) # label(cc5_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5795 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_card_fil(A))) -> (v6_ordinal1(B) -> m1_card_fil(k3_tarski(B),A)))))) # label(t16_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5796 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v2_card_1(A)))) # label(t38_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5797 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> v2_ordinal1(A) & v3_ordinal1(A) & -v1_finset_1(A) & v1_card_5(A) & v1_card_1(A) & -v1_xboole_0(A) & v1_ordinal1(A))) # label(cc6_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5798 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_1_card_fil(B,C)) <-> (exists D (A = k3_subset_1(B,D) & r2_hidden(D,C) & m1_subset_1(D,k1_zfmisc_1(B))))))) # label(fraenkel_a_2_1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5799 (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,C) & r2_hidden(D,k7_setfam_1(A,C))))) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,B) & r2_hidden(D,k2_card_fil(A,B))))))))))) # label(t10_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5800 (all A (-v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) -> (all B (m1_card_fil(B,A) -> -(r1_card_fil(A,A,B) & v3_card_fil(B,A) & v1_card_fil(B,A)))))) # label(t37_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5801 (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]. 43.97/42.85 5802 (all A (-v1_finset_1(A) & v1_card_1(A) & v6_card_fil(A) -> v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & v1_card_1(A) & v2_card_1(A) & v1_card_5(A) & v5_card_fil(A) & -v1_finset_1(A) & v1_ordinal1(A))) # label(cc4_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5803 (all A (-v1_finset_1(A) & v1_card_1(A) -> v2_ordinal1(k2_card_1(A)) & v3_ordinal1(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)) & -v1_xboole_0(k2_card_1(A)) & v1_ordinal1(k2_card_1(A)))) # label(fc3_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5804 (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) -> (r1_tarski(D,C) & r2_hidden(k1_card_1(D),B) -> r2_hidden(k1_setfam_1(D),C)))) <-> r1_card_fil(A,B,C)))))))) # label(d3_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5805 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k7_setfam_1(A,B) = a_2_1_card_fil(A,B))))) # label(t9_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5806 (all A all B (v1_card_1(B) -> -((all C -(r1_tarski(C,A) & k1_card_1(C) = B)) & r1_tarski(B,k1_card_1(A))))) # label(t36_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5807 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v1_card_5(A) & v2_card_1(A) <-> v4_card_fil(A)))) # label(d13_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5808 (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]. 43.97/42.85 5809 (all A ((exists B (B = A & p1_s1_card_fil(B) & m1_subset_1(B,f1_s1_card_fil))) <-> r2_hidden(A,a_0_0_card_fil))) # label(fraenkel_a_0_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5810 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> -(r2_hidden(k1_card_fil(A,B),C) & r2_hidden(B,C)))))))) # label(t6_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5811 (all A all B all C all D (m1_card_fil(C,B) & m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> ((exists E (E = A & (exists F (r2_hidden(F,a_3_1_card_fil(B,C,D)) & r1_tarski(F,E) & m1_subset_1(F,k1_zfmisc_1(B)))) & 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]. 43.97/42.85 5812 (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 (r2_hidden(E,C) & r1_tarski(k5_subset_1(A,E,B),D) & m1_subset_1(E,k1_zfmisc_1(A))))))))))))) # label(t13_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5813 (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]. 43.97/42.85 5814 (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]. 43.97/42.85 5815 (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]. 43.97/42.85 5816 (all A (v4_card_fil(A) & v1_card_1(A) & -v1_finset_1(A) -> v2_ordinal1(A) & v1_card_1(A) & v2_card_1(A) & v1_card_5(A) & -v1_finset_1(A) & -v1_xboole_0(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5817 (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]. 43.97/42.85 5818 (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 (r2_hidden(E,C) & k5_subset_1(B,E,D) = A & m1_subset_1(E,k1_zfmisc_1(B)))) <-> r2_hidden(A,a_3_1_card_fil(B,C,D))))) # label(fraenkel_a_3_1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5819 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]. 43.97/42.85 5820 (all A (-v1_finset_1(A) & v1_card_1(A) -> ((all B (v1_card_1(B) -> (r2_hidden(B,A) -> r2_hidden(k3_card_2(np__2,B),A)))) <-> v5_card_fil(A)))) # label(d14_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5821 (all A (-v1_xboole_0(A) -> (exists B m2_card_fil(B,A)))) # label(existence_m2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5822 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v6_card_fil(A)))) # label(t41_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5823 (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) -> (r2_card_fil(A,B,C) <-> (all D (-v1_xboole_0(D) -> (r2_hidden(k1_card_1(D),B) & r1_tarski(D,C) -> r2_hidden(k3_tarski(D),C))))))))))) # label(d4_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5824 (all A (-v1_xboole_0(A) -> a_1_0_card_fil(A) = k4_card_fil(A))) # label(d9_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5825 (all A all B (-v1_xboole_0(A) & m1_card_fil(B,A) -> k2_card_fil(A,B) = k7_setfam_1(A,B))) # label(redefinition_k2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5826 (all A (-v1_finset_1(A) -> a_1_1_card_fil(A) = k5_card_fil(A))) # label(d10_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5827 (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]. 43.97/42.85 5828 (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]. 43.97/42.85 5829 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v5_card_fil(A) -> v2_card_1(A)))) # label(t27_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5830 (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]. 43.97/42.85 5831 (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]. 43.97/42.85 5832 (all A (-v1_xboole_0(A) -> m1_card_fil(k1_tarski(A),A))) # label(t4_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5833 (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]. 43.97/42.85 5834 (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]. 43.97/42.85 5835 (all A (-v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) -> (exists B (r4_card_fil(A,B) & m2_relset_1(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & v1_funct_2(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & v1_funct_1(B))))) # label(t34_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5836 (all A (-v1_xboole_0(A) -> (exists B m1_card_fil(B,A)))) # label(existence_m1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5837 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_card_fil(C,B) & A = C)) <-> r2_hidden(A,a_1_0_card_fil(B))))) # label(fraenkel_a_1_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5838 (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]. 43.97/42.85 5839 (all A (-v1_finset_1(A) -> (exists B (v3_card_fil(B,A) & -v2_card_fil(B,A) & -v1_xboole_0(B) & m1_card_fil(B,A))))) # label(rc1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5840 (all A (-v1_finset_1(A) & v5_card_fil(A) & v1_card_1(A) -> v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & -v1_finset_1(A) & v1_card_1(A) & v2_card_1(A) & v1_ordinal1(A))) # label(cc3_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5841 (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]. 43.97/42.85 5842 (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]. 43.97/42.85 5843 (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]. 43.97/42.85 5844 (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]. 43.97/42.85 5845 (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]. 43.97/42.85 5846 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (exists C (r1_tarski(B,C) & v3_card_fil(C,A) & m1_card_fil(C,A))))))) # label(t17_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5847 (all A all B all C all D (-v1_finset_1(B) & v1_card_1(B) & v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & m1_subset_1(D,B) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & -v2_card_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]. 43.97/42.85 5848 (all A (-v1_xboole_0(A) -> (all 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) & r2_hidden(D,B) -> r2_hidden(k5_subset_1(A,C,D),B)) & (r2_hidden(C,B) & r1_tarski(C,D) -> r2_hidden(D,B)))))) & -r2_hidden(k1_xboole_0,B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) <-> m1_card_fil(B,A))))) # label(t3_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5849 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v2_card_1(A) & r3_card_fil -> v5_card_fil(A)))) # label(t28_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5850 (all A (v1_card_1(A) & -v1_finset_1(A) -> ((exists B (m1_card_fil(B,A) & r1_card_fil(A,A,B) & v3_card_fil(B,A) & -v2_card_fil(B,A))) <-> v7_card_fil(A)))) # label(d16_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.85 5851 (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) & k2_binop_1(k7_card_fil(B),B,k1_zfmisc_1(B),C,D,E) = A & 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]. 43.97/42.86 5852 (all A (-v1_finset_1(A) -> v1_ordinal1(k1_card_1(A)) & v2_ordinal1(k1_card_1(A)) & -v1_xboole_0(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(fc1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5853 (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]. 43.97/42.86 5854 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B))))) # label(dt_m1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5855 (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]. 43.97/42.86 5856 (all A all B (-v1_finset_1(B) -> (r2_hidden(A,a_1_1_card_fil(B)) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(B)) & r2_hidden(k1_card_1(k1_card_fil(B,C)),k1_card_1(B)) & A = C))))) # label(fraenkel_a_1_1_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5857 (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]. 43.97/42.86 5858 (all A (-v1_finset_1(A) -> (all B (v3_card_fil(B,A) & m1_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (-r2_hidden(C,k2_card_fil(A,B)) <-> r2_hidden(C,B)))))))) # label(t22_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5859 (all A (v1_card_1(A) & -v2_card_1(A) & -v1_finset_1(A) -> (all B (v1_funct_1(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)) -> ((all C (m1_subset_1(C,k7_card_fil(A)) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (E != D -> v1_xboole_0(k5_subset_1(A,k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,C,D),k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,C,E)))))))))) & (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k7_card_fil(A)) -> (all E (m1_subset_1(E,k7_card_fil(A)) -> (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)) -> 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)))) <-> r4_card_fil(A,B)))))) # label(d18_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5860 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_card_fil(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(B)) & D = A & r2_hidden(k3_subset_1(B,D),C)))))) # label(fraenkel_a_2_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5861 (all A (-v1_xboole_0(A) -> -r2_hidden(k1_xboole_0,k1_tarski(A)) & (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (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))))))) & m1_subset_1(k1_tarski(A),k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(k1_tarski(A)))) # label(t2_card_fil) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5862 (all A all B all C (v1_trees_1(B) & m1_trees_1(C,B) & v1_finset_1(B) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_1_pre_circ(B,C)) <-> (exists D (D = A & -r1_tarski(C,D) & m1_trees_1(D,B)))))) # label(fraenkel_a_2_1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5863 (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_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]. 43.97/42.86 5864 (all A all B m1_pboole(k2_pre_circ(A,B),A)) # label(dt_k2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5865 (exists A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,f1_s3_pre_circ) & m2_relset_1(A,k5_numbers,f1_s3_pre_circ) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,f1_s3_pre_circ,A,k1_nat_1(B,np__1)) = f3_s3_pre_circ(B,k8_funct_2(k5_numbers,f1_s3_pre_circ,A,B)))) & f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0))) # label(s3_pre_circ_AndLHS) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5866 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,f1_s3_pre_circ) & v1_funct_2(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,A,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,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,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)))) -> A = B))))) # label(s3_pre_circ_AndRHS) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5867 $T # label(t1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5868 (all A np__1 = k4_card_1(k1_trees_4(A))) # label(t24_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5869 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_pboole(B,A) -> k3_pre_circ(A,B,C) = k7_relat_1(B,C))) # label(redefinition_k3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5870 (all A all B all C (v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) & -v1_xboole_0(B) -> ((exists D (r1_tarski(C,D) & A = D & m1_trees_1(D,B))) <-> r2_hidden(A,a_2_0_pre_circ(B,C))))) # label(fraenkel_a_2_0_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5871 (all A all B (v1_funct_1(A) & v1_finset_1(A) & m1_subset_1(B,k1_relat_1(A)) & v3_trees_2(A) & v1_relat_1(A) -> v1_relat_1(k5_trees_2(A,B)) & v1_finset_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)))) # label(fc4_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5872 (all A (v4_trees_3(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) -> 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]. 43.97/42.86 5873 (all A (v1_funct_1(A) & v3_trees_2(A) & v1_finset_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v3_trees_2(B) & v1_finset_1(B) & v1_funct_1(B) -> (all C all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v6_trees_3(E) & v1_finseq_1(E) & v1_funct_1(E) & v1_relat_1(E) -> -(r2_hidden(k12_finseq_1(k5_numbers,D),k1_relat_1(A)) & k4_trees_4(C,E) = A & (all F (v6_trees_3(F) & v1_finseq_1(F) & v1_funct_1(F) & v1_relat_1(F) -> -(B = k1_funct_1(F,k1_nat_1(D,np__1)) & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r2_hidden(G,k4_finseq_1(E)) -> k1_funct_1(E,G) = k1_funct_1(F,G) | k1_nat_1(D,np__1) = G))) & k3_finseq_1(F) = k3_finseq_1(E) & k8_trees_2(A,k12_finseq_1(k5_numbers,D),B) = k4_trees_4(C,F))))))))))))) # label(t19_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5874 (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]. 43.97/42.86 5875 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(B,A) <-> (all C (r2_hidden(C,A) -> v1_finset_1(k1_funct_1(B,C))))))) # label(d3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5876 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_pboole(k3_pre_circ(A,B,C),C))) # label(dt_k3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5877 $T # label(d2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5878 (all A (m1_subset_1(A,f1_s4_pre_circ) -> (r2_hidden(A,f2_s4_pre_circ) -> v1_funct_1(f5_s4_pre_circ(A)) & 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))))) -> (exists A ((all B (m1_subset_1(B,f1_s4_pre_circ) -> (r2_hidden(B,f2_s4_pre_circ) -> f5_s4_pre_circ(B) = k1_funct_1(A,B)))) & m3_pboole(A,f2_s4_pre_circ,f3_s4_pre_circ,f4_s4_pre_circ))) # label(s4_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5879 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (k1_tarski(C) = k2_relat_1(A) & k1_relat_1(A) = k1_tarski(B) -> A = k1_tarski(k4_tarski(B,C)))))) # label(t2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5880 (all A (v4_trees_3(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v4_trees_3(B) & v1_funct_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(B,D) = k1_funct_1(A,D) | k1_nat_1(C,np__1) = D))) & r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)) & k3_finseq_1(A) = k3_finseq_1(B) -> (all D (v1_trees_1(D) & -v1_xboole_0(D) -> (k1_funct_1(B,k1_nat_1(C,np__1)) = D -> k5_trees_1(k13_trees_3(A),k12_finseq_1(k5_numbers,C),D) = k13_trees_3(B))))))))))) # label(t18_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5881 (all A (-v1_xboole_0(A) -> (all B all C (v2_relat_1(C) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,k2_pre_circ(A,B),C) -> k1_relat_1(k10_funct_6(D)) = B)))))) # label(t8_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5882 (all A (v1_relat_1(A) & v1_funct_1(A) & v6_trees_3(A) & v1_finseq_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]. 43.97/42.86 5883 (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]. 43.97/42.86 5884 (all A all B all C all D (v1_finset_1(B) & v1_trees_1(B) & v1_finset_1(C) & m1_trees_1(D,B) & v1_trees_1(C) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_pre_circ(B,C,D)) <-> (exists E (k8_finseq_1(k5_numbers,D,E) = A & m1_trees_1(E,C)))))) # label(fraenkel_a_3_0_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5885 (all A (r2_hidden(A,a_0_0_pre_circ) <-> (exists B (p1_s1_pre_circ(B) & A = f2_s1_pre_circ(B) & m1_subset_1(B,f1_s1_pre_circ))))) # label(fraenkel_a_0_0_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5886 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B k4_card_3(k2_finseq_2(A,k1_tarski(B))) = k1_tarski(k2_finseq_2(A,B))))) # label(t12_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5887 (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]. 43.97/42.86 5888 (all A all B (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v2_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)))) # label(fc2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5889 (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) -> (r1_tarski(A,B) & r1_xboole_0(k1_relat_1(A),k1_relat_1(C)) -> r1_tarski(A,k1_funct_4(B,C))))))))) # label(t4_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5890 (exists A ((all B (m1_subset_1(B,f1_s2_pre_circ) -> (r2_hidden(B,f1_s2_pre_circ) -> (p1_s2_pre_circ(B) -> f2_s2_pre_circ(B) = k1_funct_1(A,B)) & (-p1_s2_pre_circ(B) -> f3_s2_pre_circ(B) = k1_funct_1(A,B))))) & m1_pboole(A,f1_s2_pre_circ))) # label(s2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5891 (all A (v1_relat_1(A) & v1_funct_1(A) & v3_trees_2(A) & v1_finset_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v3_trees_2(B) & v1_finset_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]. 43.97/42.86 5892 (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]. 43.97/42.86 5893 (all A (v1_finset_1(A) & v1_trees_1(A) & -v1_xboole_0(A) -> (all B (v1_finset_1(B) & v1_trees_1(B) & -v1_xboole_0(B) -> (all C (m1_trees_1(C,A) -> k1_nat_1(k4_card_1(A),k4_card_1(B)) = k1_nat_1(k4_card_1(k5_trees_1(A,C,B)),k4_card_1(k4_trees_1(A,C))))))))) # label(t22_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5894 (all A k4_funct_5(k2_pre_circ(A,k1_xboole_0)) = k1_xboole_0) # label(t7_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5895 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_card_1(A) = k1_card_1(k1_relat_1(A)))) # label(t21_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5896 (all A (v1_trees_1(A) & v1_finset_1(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_trees_1(B) & v1_finset_1(B) -> (all C (m1_trees_1(C,A) -> (all D (m2_finseq_1(D,k5_numbers) -> -(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]. 43.97/42.86 5897 (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]. 43.97/42.86 5898 (exists A (-v1_xboole_0(A) & v1_finset_1(A) & v1_membered(A) & v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A))) # label(rc1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5899 (all A exists B (m1_pboole(B,A) & v2_relat_1(B) & v1_pre_circ(B,A) & v1_funct_1(B) & v1_relat_1(B))) # label(rc2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5900 (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) -> k2_xboole_0(a_2_1_pre_circ(A,C),a_3_0_pre_circ(A,B,C)) = k5_trees_1(A,C,B))))))) # label(t14_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5901 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) -> (all B (m1_trees_1(B,A) -> -(B != k1_xboole_0 & r1_xreal_0(k4_card_1(A),k4_card_1(k4_trees_1(A,B)))))))) # label(t20_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5902 (all A (-v1_xboole_0(A) & v5_membered(A) & v1_finset_1(A) -> v4_ordinal2(k2_seq_4(A)) & v1_xcmplx_0(k2_seq_4(A)) & v1_xreal_0(k2_seq_4(A)))) # label(fc1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5903 (all A all B all C (v1_relat_1(A) & v1_finset_1(A) & v3_trees_2(A) & v1_relat_1(C) & v1_finset_1(C) & v3_trees_2(C) & v1_funct_1(C) & m1_subset_1(B,k1_relat_1(A)) & v1_funct_1(A) -> v1_funct_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_relat_1(k8_trees_2(A,B,C)))) # label(fc5_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5904 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v2_membered(A) -> v1_xreal_0(k1_pre_circ(A)))) # label(dt_k1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5905 (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]. 43.97/42.86 5906 (all A (v1_finset_1(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)))) & r2_hidden(B,A) <-> k1_pre_circ(A) = B))))) # label(d1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5907 (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]. 43.97/42.86 5908 (all A (v1_funct_1(k1_trees_4(A)) & v1_finset_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) & v1_relat_1(k1_trees_4(A)))) # label(fc6_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5909 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v2_membered(A) -> k2_seq_4(A) = k1_pre_circ(A))) # label(redefinition_k1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5910 (all A all B (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) -> v2_relat_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)) & v1_relat_1(k5_relat_1(B,A)))) # label(fc3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5911 (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)) -> ((all E (r2_hidden(E,k1_relat_1(C)) -> r2_hidden(k1_funct_1(C,E),k1_funct_1(B,E)))) & r1_tarski(k1_relat_1(C),k1_relat_1(B)) -> m1_subset_1(k1_funct_4(D,C),k4_card_3(B))))))))) # label(t9_pre_circ) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 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) | r2_pboole(A,B,C) -> r2_pboole(A,k3_pboole(A,B,D),C)))))))) # label(t15_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5913 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) & r2_pboole(A,B,C) -> r2_pboole(A,k5_pboole(A,B,D),C)))))))) # label(t17_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5914 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k5_pboole(A,C,D)) <-> r2_pboole(A,B,k2_pboole(A,C,D)) & r5_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t13_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5915 (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]. 43.97/42.86 5916 (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]. 43.97/42.86 5917 (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]. 43.97/42.86 5918 (all A all B r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,k1_tarski(B))),k2_pre_circ(A,B))) # label(t24_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5919 (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]. 43.97/42.86 5920 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t5_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5921 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (k1_mboolean(A,B) = C <-> (all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k1_zfmisc_1(k1_funct_1(B,D))))))))) # label(d1_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.86 5922 (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]. 43.97/42.86 5923 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k1_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C))))))) # label(t9_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5924 (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]. 43.97/42.87 5925 (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]. 43.97/42.87 5926 (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]. 43.97/42.87 5927 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r5_pboole(A,B,D) & r2_pboole(A,B,C) <-> r2_pboole(A,B,k4_pboole(A,C,D))))))))) # label(t11_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5928 (all A r6_pboole(A,k2_mboolean(A,k1_pboole(A)),k1_pboole(A))) # label(t22_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5929 (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]. 43.97/42.87 5930 (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]. 43.97/42.87 5931 (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]. 43.97/42.87 5932 (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]. 43.97/42.87 5933 (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,D) -> r6_pboole(A,k3_pboole(A,E,C),k1_pboole(A))))) & r2_pboole(A,C,k2_mboolean(A,k2_pboole(A,B,D))) -> r2_pboole(A,C,k2_mboolean(A,B))))))))) # label(t36_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5934 (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]. 43.97/42.87 5935 (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]. 43.97/42.87 5936 $T # label(t14_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5937 (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]. 43.97/42.87 5938 (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]. 43.97/42.87 5939 (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) & r1_pboole(A,D,B) & -r2_pboole(A,D,C) & -r2_pboole(A,C,D)))))) -> r1_pboole(A,k2_mboolean(A,B),B)))) # label(t37_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5940 (all A all B (m1_pboole(B,A) -> v2_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)) & v1_relat_1(k1_mboolean(A,B)))) # label(fc1_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5941 (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) & r2_pboole(A,k2_mboolean(A,B),C) -> r2_pboole(A,D,C)))))))) # label(t32_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5942 (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]. 43.97/42.87 5943 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k3_tarski(k1_funct_1(B,D)))) <-> C = k2_mboolean(A,B)))))) # label(d2_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5944 (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]. 43.97/42.87 5945 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,C) -> r2_pboole(A,D,B)))) -> r2_pboole(A,k2_mboolean(A,C),B)))))) # label(t33_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5946 (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]. 43.97/42.87 5947 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,B,k1_mboolean(A,C)) <-> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) <-> r1_pboole(A,D,B))))))))) # label(t1_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 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,k4_pboole(A,B,D),C)))))))) # label(t16_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5949 (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]. 43.97/42.87 5950 (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]. 43.97/42.87 5951 (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]. 43.97/42.87 5952 (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,E,k2_pboole(A,B,C)) & r1_pboole(A,D,k2_pboole(A,B,C)) -> D = E | r6_pboole(A,k3_pboole(A,D,E),k1_pboole(A))))))) -> 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]. 43.97/42.87 5953 (all A (v1_relat_1(k2_mboolean(A,k1_pboole(A))) & v1_funct_1(k2_mboolean(A,k1_pboole(A))) & v3_relat_1(k2_mboolean(A,k1_pboole(A))))) # label(fc2_mboolean) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5954 (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]. 43.97/42.87 5955 (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]. 43.97/42.87 5956 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C))))) # label(rc2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5957 (all A all B (v2_relat_1(B) & m1_pboole(B,A) & v1_pre_circ(B,A) -> -((all C (m1_pboole(C,A) -> -(r1_pboole(A,C,B) & (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,D,C))))))) & (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C) & r1_pboole(A,C,B))))))))) # label(t29_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5958 (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]. 43.97/42.87 5959 (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) & r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C)))))) & (all C (m1_pboole(C,A) -> -((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,C,D)))) & r1_pboole(A,C,B))))))) # label(t28_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5960 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (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]. 43.97/42.87 5961 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(v1_pre_circ(B,A) & (all E (m1_pboole(E,A) -> (all F (m1_pboole(F,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(E,A)))))) & r2_pboole(A,B,k11_pboole(A,C,D))))))))) # label(t26_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5962 (all A (r2_hidden(A,f1_s1_mssubfam) -> (all B -((all C -(p1_s1_mssubfam(C,B,A) & r2_hidden(C,k1_funct_1(f3_s1_mssubfam,A)))) & r2_hidden(B,k1_funct_1(f2_s1_mssubfam,A)))))) -> (exists A ((all B -(r2_hidden(B,f1_s1_mssubfam) & (all C (v1_funct_1(C) & v1_funct_2(C,k1_funct_1(f2_s1_mssubfam,B),k1_funct_1(f3_s1_mssubfam,B)) & m2_relset_1(C,k1_funct_1(f2_s1_mssubfam,B),k1_funct_1(f3_s1_mssubfam,B)) -> -(k1_funct_1(A,B) = C & (all D (r2_hidden(D,k1_funct_1(f2_s1_mssubfam,B)) -> p1_s1_mssubfam(k1_funct_1(C,D),D,B)))))))) & m3_pboole(A,f1_s1_mssubfam,f2_s1_mssubfam,f3_s1_mssubfam))) # label(s1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5963 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_pre_circ(k4_pboole(A,C,B),A) & v1_funct_1(k4_pboole(A,C,B)) & v1_relat_1(k4_pboole(A,C,B)))) # label(fc5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5964 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v2_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & v1_relat_1(C))))) # label(rc4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5965 (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]. 43.97/42.87 5966 (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]. 43.97/42.87 5967 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,E,C) & r1_pboole(A,D,C) -> r1_pboole(A,k2_pboole(A,D,E),C)))))) <-> v1_mssubfam(C,A,B)))))) # label(d3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5968 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (v1_pre_circ(k1_mssubfam(A,B),A) -> v1_pre_circ(k2_mssubfam(A,B),A)))) # label(t24_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5969 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> ((all C (m1_pboole(C,A) -> (r1_pboole(A,C,B) -> v1_pre_circ(C,A)))) & v1_pre_circ(B,A) -> v1_pre_circ(k2_mboolean(A,B),A)))) # label(t22_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5970 (all A all B (m1_pboole(B,A) -> v1_mssubfam(k7_mssubfam(A,B),A,B) & v3_mssubfam(k7_mssubfam(A,B),A,B) & v4_mssubfam(k7_mssubfam(A,B),A,B) & v6_mssubfam(k7_mssubfam(A,B),A,B) & m4_pboole(k7_mssubfam(A,B),A,k1_mboolean(A,B)) & v5_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]. 43.97/42.87 5971 (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]. 43.97/42.87 5972 (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]. 43.97/42.87 5973 (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]. 43.97/42.87 5974 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> v1_funcop_1(k13_pboole(B,C)) & m1_pboole(k13_pboole(B,C),A))))) # label(t15_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5975 $T # label(d1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5976 (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]. 43.97/42.87 5977 (all A all B (m1_pboole(B,A) -> (all C (v1_funcop_1(C) & m1_pboole(C,A) -> ((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]. 43.97/42.87 5978 (all A all B all C (v1_funcop_1(B) & m1_pboole(B,A) & m1_pboole(C,A) & v1_pre_circ(C,A) -> 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]. 43.97/42.87 5979 (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]. 43.97/42.87 5980 (all A all B (m1_pboole(B,A) -> k1_mboolean(A,B) = k7_mssubfam(A,B))) # label(redefinition_k7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5981 (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]. 43.97/42.87 5982 (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]. 43.97/42.87 5983 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,D,C) & r1_pboole(A,E,C) -> r1_pboole(A,k3_pboole(A,D,E),C)))))) <-> v3_mssubfam(C,A,B)))))) # label(d5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5984 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m4_pboole(D,A,k1_mboolean(A,C)) -> ((all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r2_pboole(A,B,E)))) -> r2_pboole(A,B,k6_mssubfam(A,C,D))))))))) # label(t45_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5985 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_xboole_0(B,C) & r2_hidden(B,D) -> r1_xboole_0(k8_setfam_1(A,D),C)))) # label(t7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5986 (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]. 43.97/42.87 5987 (all A all B all C (m1_pboole(B,A) & m4_pboole(C,A,k1_mboolean(A,B)) -> m4_pboole(k6_mssubfam(A,B,C),A,B))) # label(dt_k6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5988 (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]. 43.97/42.87 5989 (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]. 43.97/42.87 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]. 43.97/42.87 5991 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) & v1_pre_circ(B,A) -> v1_funct_1(k12_pboole(A,B,C)) & v1_pre_circ(k12_pboole(A,B,C),A) & v1_relat_1(k12_pboole(A,B,C)))) # label(fc9_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5992 (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]. 43.97/42.87 5993 (all A all B all C (m1_pboole(C,A) & v1_pre_circ(C,A) & m1_pboole(B,A) & v1_pre_circ(B,A) -> v1_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]. 43.97/42.87 5994 (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]. 43.97/42.87 5995 (all A all B all C (v1_funcop_1(C) & m1_pboole(C,B) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (D = k1_funct_1(C,A) & r2_hidden(A,B) -> k1_relat_1(D) = k1_funct_1(k1_mssubfam(B,C),A)))))) # label(t14_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5996 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) & r1_pboole(A,C,E) -> r6_pboole(A,k3_pboole(A,k6_mssubfam(A,B,E),D),k1_pboole(A))))))))))) # label(t48_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5997 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> k1_mssubfam(A,B) = k2_funct_6(B))) # label(redefinition_k1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5998 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (r2_hidden(D,C) -> r1_tarski(B,D))) -> r1_tarski(B,k8_setfam_1(A,C)) | C = k1_xboole_0))) # label(t5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 5999 (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) -> k4_mssubfam(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6000 (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]. 43.97/42.87 6001 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> m1_pboole(k1_mssubfam(A,B),A))) # label(dt_k1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6002 (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]. 43.97/42.87 6003 (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]. 43.97/42.87 6004 (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]. 43.97/42.87 6005 (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]. 43.97/42.87 6006 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> k3_funct_6(B) = k2_mssubfam(A,B))) # label(redefinition_k2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6007 (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]. 43.97/42.87 6008 (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_relat_1(k11_pboole(A,B,C)) & v1_funct_1(k11_pboole(A,B,C)) & v1_pre_circ(k11_pboole(A,B,C),A))) # label(fc7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6009 (all A all B (m1_pboole(B,A) -> (exists C (v1_relat_1(C) & v2_relat_1(C) & v1_mssubfam(C,A,B) & v3_mssubfam(C,A,B) & v6_mssubfam(C,A,B) & v5_mssubfam(C,A,B) & v4_mssubfam(C,A,B) & v2_mssubfam(C,A,B) & v1_funct_1(C) & m4_pboole(C,A,k1_mboolean(A,B)))))) # label(rc5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6010 (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]. 43.97/42.87 6011 (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]. 43.97/42.87 6012 (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]. 43.97/42.87 6013 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> (m2_pboole(B,A,C) -> r1_pboole(A,B,C)))))) # label(t12_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6014 (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)))))) <-> D = k5_mssubfam(A,B,C)))))))) # label(d2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6015 (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]. 43.97/42.87 6016 (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]. 43.97/42.87 6017 (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]. 43.97/42.87 6018 (all A all B (m1_pboole(B,A) -> k1_mboolean(A,B) = k3_mssubfam(A,B))) # label(redefinition_k3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6019 (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]. 43.97/42.87 6020 (all A all B all C (m1_pboole(C,B) & v1_funcop_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,B) & D = k1_funct_1(C,A) -> k1_funct_1(k2_mssubfam(B,C),A) = k2_relat_1(D)))))) # label(t13_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6021 (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]. 43.97/42.87 6022 (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]. 43.97/42.87 6023 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> m1_pboole(k2_mssubfam(A,B),A))) # label(dt_k2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6024 (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]. 43.97/42.87 6025 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_funct_1(k3_pboole(A,B,C)) & v1_pre_circ(k3_pboole(A,B,C),A) & v1_relat_1(k3_pboole(A,B,C)))) # label(fc3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6026 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) -> v2_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)) & v1_pre_circ(k1_mboolean(A,B),A) & v1_relat_1(k1_mboolean(A,B)))) # label(fc8_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6027 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v5_mssubfam(C,A,B) <-> r1_pboole(A,B,C)))))) # label(d7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6028 (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]. 43.97/42.87 6029 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v1_funcop_1(D) & m1_pboole(D,A) -> (m3_pboole(D,A,B,C) & r1_pzfmisc1(A,B,C) -> r6_pboole(A,k1_mssubfam(A,D),B) & r2_pboole(A,k2_mssubfam(A,D),C)))))))) # label(t17_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6030 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v3_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & v1_relat_1(C))))) # label(rc3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6031 (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]. 43.97/42.87 6032 (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]. 43.97/42.87 6033 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(C,A) & r2_pboole(A,B,C) -> v1_pre_circ(B,A)))))) # label(t18_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 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(k5_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t37_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6035 (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]. 43.97/42.87 6036 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,B) & v1_relat_1(C) & v3_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A))))) # label(rc1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6037 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,C) -> m2_pboole(B,A,C)))))) # label(t11_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6038 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(v1_pre_circ(C,A) & (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))))) & r2_pboole(A,C,k2_mssubfam(A,B))))))) # label(t30_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6039 (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) -> k5_subset_1(A,C,D) = k8_setfam_1(A,B)))))))) # label(t10_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6040 (all A all B all C (m4_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(B,A) -> k5_mssubfam(A,B,C) = k6_mssubfam(A,B,C))) # label(redefinition_k6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6041 (all A all B all C all D (-v1_xboole_0(A) & m1_pboole(B,A) & m1_subset_1(D,A) & m4_pboole(C,A,k1_mboolean(A,B)) -> 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]. 43.97/42.87 6042 (all A all B (m1_pboole(B,A) -> v1_pre_circ(k1_pboole(A),A) & m4_pboole(k1_pboole(A),A,k1_mboolean(A,B)) & v3_relat_1(k1_pboole(A)))) # label(t31_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6043 (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]. 43.97/42.87 6044 (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]. 43.97/42.87 6045 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,D,C) -> r1_pboole(A,k2_mboolean(A,D),C)))) <-> v2_mssubfam(C,A,B)))))) # label(d4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6046 (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]. 43.97/42.87 6047 (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]. 43.97/42.87 6048 (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]. 43.97/42.87 6049 (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_funct_1(k5_pboole(A,B,C)) & v1_pre_circ(k5_pboole(A,B,C),A) & v1_relat_1(k5_pboole(A,B,C)))) # label(fc10_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6050 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(B,A) <-> v1_pre_circ(k1_mboolean(A,B),A)))) # label(t21_mssubfam) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 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))) -> (k4_subset_1(k1_zfmisc_1(A),C,D) = B -> 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]. 43.97/42.87 6052 (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]. 43.97/42.87 6053 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_tarski(k1_relat_1(B),C) -> r1_funct_7(A,k1_funct_4(A,B),C))))))) # label(t31_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6054 (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]. 43.97/42.87 6055 (all A all B (v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k5_relat_1(k7_relat_1(C,A),k4_funct_7(k9_relat_1(C,A),B)) = k4_funct_7(A,k7_finseq_1(k9_finseq_1(C),B)))))) # label(t45_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6056 (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 (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]. 43.97/42.87 6057 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k5_relat_1(k9_funct_7(A,B),A) = k9_funct_7(A,k1_nat_1(B,np__1)))))) # label(t73_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6058 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D k1_funct_4(A,k2_funcop_1(B,D)) = k1_funct_4(k1_funct_4(A,k2_funcop_1(B,C)),k2_funcop_1(B,D))))) # label(t16_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6059 (all A (v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (p1_s5_funct_7(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> p1_s5_funct_7(k7_finseq_1(A,k9_finseq_1(B)))))))) & p1_s5_funct_7(k1_xboole_0) -> (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funcop_1(A) -> p1_s5_funct_7(A))) # label(s5_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6060 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (r2_hidden(k8_funct_2(A,B,C,D),k6_subset_1(B,k2_funct_2(A,B,C,E),F)) -> r2_hidden(D,k6_subset_1(A,E,k3_funct_2(A,B,C,F))))))))))))))))) # label(t4_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6061 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_xboole_0(A,k1_tarski(B)) -> C = k1_funct_4(k7_relat_1(C,A),k3_cqc_lang(B,k1_funct_1(C,B)))))) # label(t15_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6062 (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) -> (np__0 != B -> k9_funct_7(k9_funct_7(A,C),B) = k9_funct_7(A,k2_nat_1(C,B))))))))) # label(t80_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6063 (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]. 43.97/42.87 6064 (all A all B (v1_relat_1(A) & m1_subset_1(B,k5_numbers) & v1_funct_1(A) -> v1_funct_1(k9_funct_7(A,B)) & v1_relat_1(k9_funct_7(A,B)))) # label(dt_k9_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6065 $T # label(dt_k7_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6066 (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)) -> (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]. 43.97/42.87 6067 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B ((-v1_xboole_0(A) -> (B = k1_funct_5(k1_funct_1(A,np__1)) <-> B = k6_funct_7(A))) & (v1_xboole_0(A) -> (v1_xboole_0(B) <-> B = k6_funct_7(A))))))) # label(d6_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6068 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> m2_relset_1(k9_funct_7(C,B),A,A) & v1_funct_2(k9_funct_7(C,B),A,A) & v1_funct_1(k9_funct_7(C,B)))))) # label(t85_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6069 (all A (v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) & -v1_xboole_0(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]. 43.97/42.87 6070 (all A (v1_relat_1(A) & v1_funct_1(A) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(A)) -> k9_funct_7(A,np__2) = k1_xboole_0))) # label(t84_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6071 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) -> v1_funct_1(k4_funct_7(A,B)) & v1_relat_1(k4_funct_7(A,B)))) # label(dt_k4_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6072 (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,D,B),E,C) = k2_funct_7(k2_funct_7(A,E,C),D,B))))) # label(t35_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6073 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> (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]. 43.97/42.87 6074 (all A k6_partfun1(A) = k4_funct_7(A,k1_xboole_0)) # label(t41_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6075 (exists A (-v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_finset_1(A))) # label(rc1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6076 (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]. 43.97/42.87 6077 (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) & (all B (m1_subset_1(B,f1_s1_funct_7) -> (all C (m1_subset_1(C,f2_s1_funct_7) -> f4_s1_funct_7(B,C) = 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)))))) & m2_relset_1(A,k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7) & 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]. 43.97/42.87 6078 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all 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)) <-> r1_funct_7(A,B,C))))))) # label(d2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6079 (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) -> (k3_finseq_1(A) = k1_nat_1(k3_finseq_1(B),np__1) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) <-> r2_hidden(C,k4_finseq_1(A)) & r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)))))))))) # label(t24_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6080 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.87 6081 (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,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]. 43.97/42.87 6082 (all A (m1_subset_1(A,f2_s2_funct_7) -> (all B (m1_subset_1(B,f2_s2_funct_7) -> (f4_s2_funct_7(A) = f4_s2_funct_7(B) -> A = B))))) & v1_finset_1(f1_s2_funct_7) -> v1_finset_1(a_0_0_funct_7) # label(s2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6083 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (r1_tarski(E,k2_funct_2(A,B,C,D)) -> r1_tarski(k3_funct_2(A,B,C,E),D))))))))))) # label(t2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.87 6084 (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]. 43.97/42.87 6085 (all A all B (v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k4_funct_7(A,B) <-> (exists D (v1_funcop_1(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_funct_1(G) & v1_relat_1(G) -> (k1_funct_1(B,k1_nat_1(E,np__1)) = G & k1_funct_1(D,E) = F -> k5_relat_1(F,G) = k1_funct_1(D,k1_nat_1(E,np__1)))))))))) & k6_partfun1(A) = k1_funct_1(D,np__0) & C = k1_funct_1(D,k3_finseq_1(B))))))))) # label(d4_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6086 (all A all B exists C m1_funct_7(C,A,B)) # label(existence_m1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6087 (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,k3_funct_7(A,B,D,C),E) = k4_finseq_4(k5_numbers,A,B,E)))))))))))) # label(t39_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6088 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (B != np__0 -> r1_tarski(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]. 43.97/42.88 6089 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funcop_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]. 43.97/42.88 6090 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_relset_1(C,A,A) & v1_funct_1(C) -> v1_funct_1(k9_funct_7(C,B)) & m2_relset_1(k9_funct_7(C,B),A,A))))) # label(t88_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6091 $T # label(dt_k6_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6092 (all A all B (v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funcop_1(C) & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_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]. 43.97/42.88 6093 (all A (v1_funct_7(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_funcop_1(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(cc1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6094 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k6_partfun1(A) = k9_funct_7(k6_partfun1(A),B))) # label(t83_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6095 (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]. 43.97/42.88 6096 (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]. 43.97/42.88 6097 (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) & v1_finseq_1(C) & v1_funcop_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]. 43.97/42.88 6098 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k11_finseq_1(A,k1_funct_1(B,A),k1_funct_1(C,k1_funct_1(B,A))) = k5_funct_7(k10_finseq_1(B,C),A))))) # label(t55_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6099 (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_funct_1(k2_funct_7(A,B,C)) & v1_finset_1(k2_funct_7(A,B,C)) & v1_finseq_1(k2_funct_7(A,B,C)) & v1_relat_1(k2_funct_7(A,B,C)))) # label(fc9_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6100 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B r1_funct_7(A,A,B)))) # label(t27_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6101 (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) -> (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]. 43.97/42.88 6102 (all A all B (v1_finseq_1(B) & v1_funct_7(B) & v1_funct_1(B) & v1_relat_1(B) -> (B != k1_xboole_0 -> 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]. 43.97/42.88 6103 (all A (v1_relat_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (C = k5_funct_7(A,B) <-> k1_nat_1(k3_finseq_1(A),np__1) = k3_finseq_1(C) & k1_funct_1(C,np__1) = B & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(D,k4_finseq_1(A)) & k1_funct_1(A,D) = E -> k1_funct_1(C,k1_nat_1(D,np__1)) = k1_funct_1(E,k1_funct_1(C,D)))))))))))) # label(d5_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6104 (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) -> k5_funct_7(k11_finseq_1(B,C,D),A) = 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))))))))))) # label(t58_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6105 (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) -> r1_xreal_0(B,C) | r2_hidden(C,A)))))) -> v1_card_1(A)))) # label(t22_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6106 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r1_funct_7(A,B,C) -> r1_funct_7(B,A,C))))))) # label(t28_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6107 (all A all B all C all D (v1_funct_1(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)) & -v1_xboole_0(k4_funct_4(A,B,C,D)))) # label(fc2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6108 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> B = k3_funct_7(A,B,E,k4_finseq_4(k5_numbers,A,B,E)))))))))))) # label(t40_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6109 (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]. 43.97/42.88 6110 (all A (-v1_xboole_0(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_relat_1(A) & v1_relat_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(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) <-> m2_funct_7(B,A)))))) # label(d10_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6111 $T # label(t17_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6112 (all A all B all C (v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(C) & v1_relat_1(C) & v1_relat_1(A) -> v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_finset_1(k11_finseq_1(A,B,C)) & v1_funcop_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)))) # label(fc6_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6113 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k10_finseq_1(A,k1_funct_1(B,A)) = k5_funct_7(k9_finseq_1(B),A))) # label(t49_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6114 (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]. 43.97/42.88 6115 (all A all B (v1_finseq_1(A) & v1_relat_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_finseq_1(k7_finseq_1(A,B)) & v1_funcop_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_relat_1(k7_finseq_1(A,B)))) # label(fc8_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6116 (all A (v1_relat_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k7_funct_7(A),k1_relat_1(B)) -> v1_relat_1(k7_finseq_1(A,k9_finseq_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)))))))) # label(t66_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6117 (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) -> 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]. 43.97/42.88 6118 (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]. 43.97/42.88 6119 (all A all B all C (m1_funct_7(C,A,B) -> v1_relat_1(C) & v1_funct_1(C) & v1_funct_7(C) & v1_finseq_1(C))) # label(dt_m1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6120 (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) -> (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]. 43.97/42.88 6121 (all A (r2_hidden(A,a_0_0_funct_7) <-> (exists B (m1_subset_1(B,f2_s2_funct_7) & A = f3_s2_funct_7(B) & r2_hidden(f4_s2_funct_7(B),f1_s2_funct_7))))) # label(fraenkel_a_0_0_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6122 (all A all B all C (v1_funct_1(C) & v1_finseq_1(C) & v1_funcop_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funcop_1(D) & v1_funct_1(D) -> (r1_tarski(k2_relat_1(k4_funct_7(A,C)),B) -> k5_relat_1(k4_funct_7(A,C),k4_funct_7(B,D)) = k4_funct_7(A,k7_finseq_1(C,D))))))) # label(t50_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6123 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.88 6124 (all A all B all C (m1_funct_7(C,B,A) & -v1_xboole_0(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]. 43.97/42.88 6125 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (-(-r1_tarski(k1_relat_1(B),A) & -r1_tarski(k1_relat_1(k5_relat_1(B,k5_relat_1(C,D))),A) & -r1_tarski(k1_relat_1(k5_relat_1(B,C)),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]. 43.97/42.88 6126 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k9_funct_7(A,np__1))) # label(t72_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6127 (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) -> k1_relat_1(k4_funct_7(k1_funct_1(A,np__1),B)) = k1_funct_1(A,np__1) & r1_tarski(k2_relat_1(k4_funct_7(k1_funct_1(A,np__1),B)),k1_funct_1(A,k3_finseq_1(A))))))) # label(t69_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6128 (all A all B all C all D (m1_finseq_1(B,A) & m1_subset_1(D,A) & m1_subset_1(C,k5_numbers) -> m2_finseq_1(k3_funct_7(A,B,C,D),A))) # label(dt_k3_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6129 (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]. 43.97/42.88 6130 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> ((exists D (v1_funct_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)))) & 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_relat_1(F) & k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,k1_nat_1(E,np__1)) = k5_relat_1(A,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) & v1_funct_1(F))))) & k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,np__0) = k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) & m2_relset_1(D,k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) & v1_funct_1(D))) <-> k9_funct_7(A,B) = C))))))) # label(d11_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6131 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C ((-r2_hidden(B,k1_relat_1(A)) -> A = k2_funct_7(A,B,C)) & (r2_hidden(B,k1_relat_1(A)) -> k2_funct_7(A,B,C) = k1_funct_4(A,k3_cqc_lang(B,C))))))) # label(d3_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6132 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> ((exists 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_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B))) <-> v1_funct_7(A)))) # label(d8_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6133 $T # label(t9_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6134 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (m2_funct_7(B,A) -> v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B))))) # label(dt_m2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6135 (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(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]. 43.97/42.88 6136 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,B) = k4_funct_7(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_finseq_2(B,A)))))) # label(t90_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6137 (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]. 43.97/42.88 6138 (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(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) & r1_tarski(k1_relat_1(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))))))) # label(t74_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6139 (all A all B all C (m1_funct_7(C,B,A) & -v1_xboole_0(A) -> k4_funct_7(B,C) = k8_funct_7(A,B,C))) # label(redefinition_k8_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6140 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(A,B) & C = k2_funcop_1(B,A) -> k9_funct_7(C,D) = C | D = np__0))))) # label(t89_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6141 (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_funct_1(C) -> k5_relat_1(k4_funct_7(A,B),C) = k4_funct_7(A,k7_finseq_1(B,k9_finseq_1(C))))))) # label(t43_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6142 (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]. 43.97/42.88 6143 (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]. 43.97/42.88 6144 (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]. 43.97/42.88 6145 (all A all B m1_subset_1(k1_funct_7(A,B),B)) # label(dt_k1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6146 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & v1_funcop_1(B) -> (B != k1_xboole_0 -> r1_tarski(k2_relat_1(k4_funct_7(A,B)),k7_funct_7(B))))) # label(t61_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6147 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k5_relat_1(k9_funct_7(A,C),k9_funct_7(A,B)) = k9_funct_7(A,k1_nat_1(B,C)))))))) # label(t79_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6148 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> k2_relat_1(A) = k7_funct_7(k7_finseq_1(B,k9_finseq_1(A))) & k1_relat_1(A) = k6_funct_7(k7_finseq_1(k9_finseq_1(A),B)))))) # label(t60_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6149 (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_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]. 43.97/42.88 6150 (all A k9_finseq_1(A) = k5_funct_7(k1_xboole_0,A)) # label(t42_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6151 (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(k2_relat_1(B),k6_funct_7(A)) -> v1_relat_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_funct_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_finseq_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_funct_7(k7_finseq_1(k9_finseq_1(B),A))))))) # label(t65_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6152 (all A all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_7(C) & v1_funct_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]. 43.97/42.88 6153 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc4_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6154 (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]. 43.97/42.88 6155 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_tarski(k2_relat_1(A),k1_relat_1(A)) -> k1_relat_1(A) = k1_relat_1(k9_funct_7(A,B)) & r1_tarski(k2_relat_1(k9_funct_7(A,B)),k1_relat_1(A))))))) # label(t76_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6156 (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]. 43.97/42.88 6157 (exists A (v1_relat_1(A) & v2_relat_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v1_funct_7(A) & v1_finset_1(A) & v1_funct_1(A) & -v1_xboole_0(A))) # label(rc2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6158 (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) -> (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]. 43.97/42.88 6159 (all A all B (m1_pboole(B,A) -> (all C (r2_hidden(C,A) -> k7_relat_1(B,k1_tarski(C)) = k3_cqc_lang(C,k1_funct_1(B,C)))))) # label(t7_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6160 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> 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]. 43.97/42.88 6161 (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]. 43.97/42.88 6162 (all A all B (v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k5_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A) = 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))))))))) # label(t44_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6163 (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) -> k7_finseq_1(k9_finseq_1(A),k5_funct_7(B,k1_funct_1(C,A))) = k5_funct_7(k7_finseq_1(k9_finseq_1(C),B),A))))) # label(t46_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6164 (all A all B ((v1_xboole_0(B) -> v1_xboole_0(A)) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_7(C) & v1_funct_1(C) -> (m1_funct_7(C,A,B) <-> r1_tarski(k7_funct_7(C),B) & k6_funct_7(C) = A))))) # label(d9_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6165 (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]. 43.97/42.88 6166 (all A ((exists B (B = A & r2_hidden(f3_s3_funct_7(B),f1_s3_funct_7) & m1_subset_1(B,f2_s3_funct_7))) <-> r2_hidden(A,a_0_1_funct_7))) # label(fraenkel_a_0_1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6167 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) -> A = B))))) -> r2_tarski(f1_s4_funct_7,a_0_2_funct_7) # label(s4_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6168 (all A all B all C all D (m1_subset_1(C,k5_numbers) & m1_subset_1(D,A) & m1_finseq_1(B,A) -> k3_funct_7(A,B,C,D) = k2_funct_7(B,C,D))) # label(redefinition_k3_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6169 (all A (v1_relat_1(A) & v1_funct_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]. 43.97/42.88 6170 (all A (v1_xboole_0(A) & v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_7(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_funct_1(A))) # label(cc2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6171 (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]. 43.97/42.88 6172 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k4_funct_7(A,k9_finseq_1(B)) = k5_relat_1(k6_partfun1(A),B))) # label(t47_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6173 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,B) = k5_relat_1(k9_funct_7(A,B),k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))))))) # label(t78_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6174 (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]. 43.97/42.88 6175 (all A all B (r2_hidden(A,B) -> k1_funct_7(A,B) = A)) # label(d1_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6176 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B ((-v1_xboole_0(A) -> (B = k2_funct_5(k1_funct_1(A,k3_finseq_1(A))) <-> k7_funct_7(A) = B)) & (v1_xboole_0(A) -> (v1_xboole_0(B) <-> B = k7_funct_7(A))))))) # label(d7_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6177 (all A all B all C (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_7(A,B,C)) & v1_funct_1(k2_funct_7(A,B,C)))) # label(dt_k2_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6178 (all A all B all C (r2_hidden(A,k3_xboole_0(B,C)) -> k1_funct_7(A,B) = k1_funct_7(A,C))) # label(t26_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6179 (all A (m1_subset_1(A,f2_s3_funct_7) -> (all B (m1_subset_1(B,f2_s3_funct_7) -> (f3_s3_funct_7(B) = f3_s3_funct_7(A) -> A = B))))) & (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))) -> r2_tarski(f1_s3_funct_7,a_0_1_funct_7) # label(s3_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6180 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_7(A) & v1_funct_1(A) -> k6_funct_7(A) = k1_relat_1(k4_funct_7(k6_funct_7(A),A)))) # label(t64_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6181 (all A all B (v1_funct_1(B) & v1_relat_1(B) & m1_subset_1(A,k5_numbers) -> v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_finset_1(k2_finseq_2(A,B)) & v1_funcop_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)))) # label(fc7_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6182 (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) -> v1_funct_7(B) & v2_relat_1(B))))) # label(cc3_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6183 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> (all D all E (r2_hidden(E,B) & r2_hidden(D,A) -> 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]. 43.97/42.88 6184 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(k5_relat_1(B,C)),A) | r1_tarski(k1_relat_1(B),A) -> k5_relat_1(B,C) = k4_funct_7(A,k10_finseq_1(B,C))))))) # label(t54_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6185 (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]. 43.97/42.88 6186 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k5_relat_1(k6_partfun1(A),k5_relat_1(B,C)) = k4_funct_7(A,k10_finseq_1(B,C)))))) # label(t53_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6187 (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_finset_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_funct_7(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc10_funct_7) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6188 (all A (l1_struct_0(A) -> (v1_xboole_0(u1_struct_0(A)) <-> v3_struct_0(A)))) # label(d1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6189 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> (all C (m1_subset_1(C,B) <-> m1_struct_0(C,A,B))))) # label(redefinition_m1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6190 (all A all B all C (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> k2_struct_0(A,B,C) = k2_struct_0(A,C,B))) # label(commutativity_k2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6191 (exists A (l1_struct_0(A) & v1_struct_0(A))) # label(rc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6192 (exists A (-v3_struct_0(A) & l2_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6193 (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]. 43.97/42.88 6194 (exists A (l2_struct_0(A) & v2_struct_0(A))) # label(rc2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6195 (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]. 43.97/42.88 6196 (all A (l1_struct_0(A) & -v3_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6197 (exists A (-v3_struct_0(A) & l1_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6198 (all A all B (m1_subset_1(B,A) -> l2_struct_0(g2_struct_0(A,B)) & v2_struct_0(g2_struct_0(A,B)))) # label(dt_g2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6199 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6200 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6201 (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]. 43.97/42.88 6202 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> (exists C m1_struct_0(C,A,B)))) # label(existence_m1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6203 (all A (l2_struct_0(A) -> (v2_struct_0(A) -> A = g2_struct_0(u1_struct_0(A),u2_struct_0(A))))) # label(abstractness_v2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6204 (all A (v1_struct_0(g1_struct_0(A)) & l1_struct_0(g1_struct_0(A)))) # label(dt_g1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6205 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6206 (all A all B (g1_struct_0(B) = g1_struct_0(A) -> A = B)) # label(free_g1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6207 (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) -> 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]. 43.97/42.88 6208 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6209 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6210 (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]. 43.97/42.88 6211 (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]. 43.97/42.88 6212 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) & -v3_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]. 43.97/42.88 6213 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_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]. 43.97/42.88 6214 (all A all B (m1_subset_1(B,A) -> (all C all D (g2_struct_0(A,B) = g2_struct_0(C,D) -> C = A & D = B)))) # label(free_g2_struct_0) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6215 (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]. 43.97/42.88 6216 (all A all B all C all D all E (v2_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k14_cat_1(A,B,C,D,E),A,C))) # label(dt_k14_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6217 (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]. 43.97/42.88 6218 $T # label(t17_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6219 (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) | k6_cat_1(A,C,D) = k1_xboole_0 | v4_cat_1(F,A)))))))))))))) # label(t67_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6220 $T # label(t120_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6221 (all A all B (l1_cat_1(A) & m1_subset_1(B,u2_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]. 43.97/42.88 6222 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v3_cat_1(k9_cat_1(A,B,C,D,E,F),A) -> k6_cat_1(A,B,C) = k1_xboole_0 | v3_cat_1(E,A) | k1_xboole_0 = k6_cat_1(A,C,D)))))))))))))) # label(t62_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6223 (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]. 43.97/42.88 6224 (all A all B all C all D (l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & m1_subset_1(D,u1_cat_1(A)) & v2_cat_1(B) & v2_cat_1(A) -> m1_subset_1(k13_cat_1(A,B,C,D),u1_cat_1(B)))) # label(dt_k13_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6225 (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)) -> 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),k2_cat_1(A,D)) & k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k3_cat_1(A,D)))))))))) # label(t105_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6226 (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)) -> (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]. 43.97/42.88 6227 (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]. 43.97/42.88 6228 (all A (l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k15_cat_1(A),A,A))) # label(dt_k15_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6229 $T # label(t31_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6230 $T # label(t121_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6231 $T # label(t11_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6232 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k3_cat_1(A,C) -> C = k4_cat_1(A,C,k5_cat_1(A,B))))))))) # label(t46_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6233 (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) -> (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]. 43.97/42.88 6234 (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)) -> 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]. 43.97/42.88 6235 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v6_cat_1(B,A) & r1_cat_1(A,C,B) -> v6_cat_1(C,A)))))))) # label(t89_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6236 (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)) -> (r2_hidden(D,k6_cat_1(A,B,C)) <-> k2_cat_1(A,D) = B & k3_cat_1(A,D) = C))))))))) # label(t18_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6237 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(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]. 43.97/42.88 6238 (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]. 43.97/42.88 6239 (all A all B all C (v1_funct_1(k1_cat_1(A,B,C)) & m2_relset_1(k1_cat_1(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) # label(dt_k1_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6240 (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]. 43.97/42.88 6241 (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]. 43.97/42.88 6242 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) -> (exists D m1_cat_1(D,A,B,C)))) # label(existence_m1_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6243 (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]. 43.97/42.88 6244 $T # label(t53_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6245 $T # label(dt_l1_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6246 (all A (l1_cat_1(A) -> v1_funct_1(u5_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)))) # label(dt_u5_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6247 (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]. 43.97/42.88 6248 (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,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]. 43.97/42.88 6249 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v5_cat_1(E,A) & v5_cat_1(F,A) -> k6_cat_1(A,C,D) = k1_xboole_0 | 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)) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))))) # label(t77_cat_1) # label(axiom) # label(non_clause). [assumption]. 43.97/42.88 6250 (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(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) = k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_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))))))))))) # label(t98_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6251 $T # label(t2_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6252 (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)) -> (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]. 44.07/42.98 6253 (all A all B all C (k1_relat_1(k1_cat_1(A,B,C)) = k1_tarski(k4_tarski(A,B)) & k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) = k1_relat_1(k1_cat_1(A,B,C)))) # label(t7_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6254 (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]. 44.07/42.98 6255 (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]. 44.07/42.98 6256 (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) -> E = D)) -> k6_cat_1(A,B,C) = k1_xboole_0 | k1_tarski(D) = k6_cat_1(A,B,C)))))))))) # label(t26_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6257 (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))) <-> k3_cat_1(A,B) = k2_cat_1(A,C)))))) & (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) -> k3_cat_1(A,k4_cat_1(A,B,C)) = k3_cat_1(A,C) & k2_cat_1(A,k4_cat_1(A,B,C)) = k2_cat_1(A,B)))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,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))))))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k2_cat_1(A,k5_cat_1(A,B)) & k3_cat_1(A,k5_cat_1(A,B)) = B & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k2_cat_1(A,C) -> C = k4_cat_1(A,k5_cat_1(A,B),C)))) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,C) = B -> C = k4_cat_1(A,C,k5_cat_1(A,B))))))) -> v2_cat_1(A)))) # label(t29_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6258 (all A (l1_cat_1(A) & v2_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 (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,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,F) = k3_cat_1(A,E) -> k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,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,k3_cat_1(A,E)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) & k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,k2_cat_1(A,E)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)))) & (all E (m1_subset_1(E,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,E)) = k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E)))) -> m2_cat_1(C,A,B)))))))))) # label(t100_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6259 (all A all B all C all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,D) & m2_relset_1(E,A,D) -> (r1_tarski(k2_funct_2(A,D,E,B),C) & r1_tarski(B,A) -> v1_funct_1(k2_partfun1(A,D,E,B)) & m2_relset_1(k2_partfun1(A,D,E,B),B,C) & v1_funct_2(k2_partfun1(A,D,E,B),B,C)))))) # label(t4_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6260 (all A (l1_cat_1(A) -> -v1_xboole_0(u1_cat_1(A)))) # label(dt_u1_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6261 (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]. 44.07/42.98 6262 (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]. 44.07/42.98 6263 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v3_cat_1(k10_cat_1(A,B),A))))) # label(t64_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6264 (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]. 44.07/42.98 6265 (all A all B all C all D (m1_subset_1(D,k1_tarski(A)) -> (all E (m1_subset_1(E,k1_tarski(B)) -> k1_funct_1(k1_cat_1(A,B,C),k4_tarski(D,E)) = C)))) # label(t9_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6266 $T # label(t5_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6267 (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) -> (v9_cat_1(E,B,C) & v9_cat_1(D,A,B) -> v9_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t127_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6268 $T # label(t78_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6269 (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) -> r1_cat_1(A,C,B)))))))) # label(t92_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6270 (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)) -> (exists G (F = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) & m1_cat_1(G,A,D,E))) & k6_cat_1(A,D,E) != k1_xboole_0))))))) <-> v9_cat_1(C,A,B)))))))) # label(d23_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6271 (all A all B all C all D all E (l1_cat_1(A) & l1_cat_1(C) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> k14_cat_1(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k14_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6272 $T # label(t130_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6273 $T # label(t49_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6274 (all A all B all C all D all E all F (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,B,A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(F,A,B) & m1_relset_1(F,A,B) & v1_funct_1(F) & v1_funct_1(E) & v1_funct_2(C,B,A) & -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]. 44.07/42.98 6275 $T # label(t20_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6276 $T # label(t95_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6277 (all A all B (v1_cat_1(k8_cat_1(A,B)) & v2_cat_1(k8_cat_1(A,B)) & l1_cat_1(k8_cat_1(A,B)))) # label(dt_k8_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6278 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u1_cat_1(k8_cat_1(A,B))) -> (all F (m1_subset_1(F,u1_cat_1(k8_cat_1(A,B))) -> (all G (m1_cat_1(G,k8_cat_1(A,B),C,D) -> (all H (m1_cat_1(H,k8_cat_1(A,B),E,F) -> H = G)))))))))))) # label(t39_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6279 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (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 (m1_subset_1(E,u1_cat_1(B)) & 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))))))))))))) # label(d18_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6280 (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]. 44.07/42.98 6281 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (v5_cat_1(D,A) <-> k1_xboole_0 != k6_cat_1(A,C,B) & (exists E (k9_cat_1(A,B,C,B,D,E) = k10_cat_1(A,B) & k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & m1_cat_1(E,A,C,B))))))))))))) # label(t70_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6282 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k13_cat_1(A,B,C,k3_cat_1(A,D)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) & 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)))))))))) # label(t109_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6283 $T # label(t72_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6284 $T # label(t14_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6285 (all A all B all C k1_cat_1(A,B,C) = k3_cqc_lang(k4_tarski(A,B),C)) # label(d1_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6286 (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,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E))))))) & (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))))) -> m2_cat_1(C,A,B)))))))) # label(t96_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6287 (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)) -> k2_partfun1(u2_cat_1(A),u2_cat_1(B),C,k6_cat_1(A,D,E)) = k16_cat_1(A,B,C,D,E))))))))))) # label(d25_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6288 $T # label(t13_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6289 (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]. 44.07/42.98 6290 (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) -> (v6_cat_1(B,A) -> v3_cat_1(D,A) | k6_cat_1(A,B,C) = k1_xboole_0))))))))) # label(t90_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6291 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) -> 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]. 44.07/42.98 6292 (all A all B all C all D (v2_cat_1(A) & 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)) -> m1_cat_1(k11_cat_1(A,B,C,D),A,C,B))) # label(dt_k11_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6293 (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)) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) -> k13_cat_1(A,B,C,D) = E))))))))))) # label(t107_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6294 (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) <-> (exists D (v5_cat_1(D,A) & m1_cat_1(D,A,B,C))) & k6_cat_1(A,B,C) != k1_xboole_0))))))) # label(d17_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6295 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_cat_1(A,C,B) != k1_xboole_0 & (exists D ((all E (m1_cat_1(E,A,C,B) -> E = D)) & m1_cat_1(D,A,C,B)))))))))) # label(d15_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6296 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> ((all C (m1_subset_1(C,u1_cat_1(A)) -> k6_cat_1(A,B,C) != k1_xboole_0 & (exists D ((all E (m1_cat_1(E,A,B,C) -> D = E)) & m1_cat_1(D,A,B,C))))) <-> v7_cat_1(B,A)))))) # label(d16_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6297 (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]. 44.07/42.98 6298 (all A all B k8_cat_1(A,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))) # label(d9_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6299 $T # label(t6_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6300 (exists A l1_cat_1(A)) # label(existence_l1_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6301 (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]. 44.07/42.98 6302 (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) -> k4_cat_1(A,C,B) = k1_funct_1(u5_cat_1(A),k4_tarski(B,C))))))))) # label(t41_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6303 $T # label(t15_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6304 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k9_cat_1(A,B,B,B,k10_cat_1(A,B),k10_cat_1(A,B)) = k10_cat_1(A,B))))) # label(t59_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6305 (all A all B (v1_funct_1(k7_cat_1(A,B)) & m2_relset_1(k7_cat_1(A,B),k1_tarski(A),k1_tarski(B)) & v1_funct_2(k7_cat_1(A,B),k1_tarski(A),k1_tarski(B)))) # label(dt_k7_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6306 $T # label(t106_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6307 (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 -> C = k4_cat_1(A,k5_cat_1(A,B),C)))))))) # label(t47_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6308 (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)) -> (k5_cat_1(A,B) = k5_cat_1(A,C) -> C = B))))))) # label(t45_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6309 (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) & v7_cat_1(B,A) -> v7_cat_1(C,A)))))))) # label(t85_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6310 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (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) -> v4_cat_1(D,A) | k1_xboole_0 = k6_cat_1(A,C,B) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))))) # label(t68_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6311 (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]. 44.07/42.98 6312 (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) -> k1_xboole_0 = k6_cat_1(A,C,D) | 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]. 44.07/42.98 6313 (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)) -> k2_relat_1(k16_cat_1(A,B,C,D,E)) = k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))))) <-> v9_cat_1(C,A,B)))))))) # label(t132_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6314 (exists A (v2_cat_1(A) & l1_cat_1(A))) # label(rc2_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6315 (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) | v3_cat_1(E,A) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))) # label(t63_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6316 (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 (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B)))))) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = E)))))))))))) # label(t102_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6317 (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]. 44.07/42.98 6318 $T # label(t94_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6319 (all A all B all C (v2_cat_1(A) & v1_funct_1(C) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> v1_funct_1(k12_cat_1(A,B,C)) & v1_funct_2(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)))) # label(dt_k12_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6320 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v7_cat_1(C,A) & v7_cat_1(B,A) -> r1_cat_1(A,B,C)))))))) # label(t84_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6321 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) -> (all C (m1_cat_1(C,A,B,B) -> C = k10_cat_1(A,B)))))))) # label(t87_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6322 (all A (l1_cat_1(A) -> v1_funct_1(u6_cat_1(A)) & v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) & m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)))) # label(dt_u6_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6323 $T # label(t101_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6324 (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)) -> v2_funct_1(k16_cat_1(A,B,C,D,E))))))))))))) # label(t133_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6325 (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]. 44.07/42.98 6326 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,D,E) -> (all F (m1_cat_1(F,A,D,E) -> (all G (m1_cat_1(G,A,D,E) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F) -> F = G)))))))))) <-> v10_cat_1(C,A,B)))))))) # label(d24_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6327 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> (all G (m1_cat_1(G,A,C,D) -> (all H (m1_cat_1(H,A,D,E) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & k9_cat_1(A,B,C,E,F,k9_cat_1(A,C,D,E,G,H)) != k9_cat_1(A,B,D,E,k9_cat_1(A,B,C,D,F,G),H) & k1_xboole_0 != k6_cat_1(A,D,E) & k1_xboole_0 != k6_cat_1(A,C,D)))))))))))))))))) # label(t54_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6328 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> 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]. 44.07/42.98 6329 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> -(k1_xboole_0 = k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) & k6_cat_1(A,D,E) != k1_xboole_0))))))))))) # label(t126_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6330 (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]. 44.07/42.98 6331 $T # label(t10_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6332 (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]. 44.07/42.98 6333 (all A (v2_cat_1(A) & l1_cat_1(A) -> k6_partfun1(u2_cat_1(A)) = k15_cat_1(A))) # label(d21_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6334 $T # label(t30_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6335 (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) -> 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]. 44.07/42.98 6336 (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 (k2_cat_1(B,E) = C & D = k3_cat_1(B,E) & E = A & m1_subset_1(E,u2_cat_1(B))))))) # label(fraenkel_a_3_0_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6337 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> A = C)) # label(t34_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6338 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> 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]. 44.07/42.98 6339 (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 (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),D)) = k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),E) & m1_subset_1(E,u1_cat_1(B)))))) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_cat_1(A),u1_cat_1(B)) & v1_funct_2(D,u1_cat_1(A),u1_cat_1(B)) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),E)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E) = F))))) <-> k12_cat_1(A,B,C) = D)))))))))) # label(d19_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6340 (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]. 44.07/42.98 6341 (all A all B all C (m1_subset_1(C,u2_cat_1(k8_cat_1(A,B))) -> B = C)) # label(t35_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6342 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (exists C m2_cat_1(C,A,B)))) # label(existence_m2_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6343 (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 (k1_tarski(D) = k6_cat_1(A,B,C) & m1_cat_1(D,A,B,C))))) <-> v7_cat_1(B,A)))))) # label(t82_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6344 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) & k2_cat_1(A,D) = k3_cat_1(A,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]. 44.07/42.98 6345 (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) -> k1_xboole_0 = k6_cat_1(A,B,C) | (all E (m1_cat_1(E,A,C,B) -> (E = k11_cat_1(A,B,C,D) <-> 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))))))))))))) # label(d14_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6346 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> ((exists C (m1_subset_1(C,u2_cat_1(A)) & k2_cat_1(A,B) = k3_cat_1(A,C) & k5_cat_1(A,k2_cat_1(A,B)) = k4_cat_1(A,B,C) & k4_cat_1(A,C,B) = k5_cat_1(A,k3_cat_1(A,B)) & k2_cat_1(A,C) = k3_cat_1(A,B))) <-> v5_cat_1(B,A)))))) # label(d12_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6347 $T # label(t50_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6348 (all A all B (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & v2_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]. 44.07/42.98 6349 (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)) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = E))))))))))) # label(t103_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6350 $T # label(t12_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6351 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,B)) != k1_xboole_0)))) # label(t19_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6352 (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,C,B) != k1_xboole_0 & (exists E ((exists F (k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,F) & F != E & k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & m1_cat_1(F,A,C,B))) & m1_cat_1(E,A,C,B))) & k1_xboole_0 != k6_cat_1(A,B,C)))))))))) # label(t71_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6353 (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) -> -(k6_cat_1(A,C,D) != k1_xboole_0 & -r2_hidden(k4_cat_1(A,E,F),k6_cat_1(A,B,D)) & k6_cat_1(A,B,C) != k1_xboole_0))))))))))))) # label(t51_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6354 (all A all B all C k1_funct_1(k1_cat_1(A,B,C),k4_tarski(A,B)) = C) # label(t8_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6355 (all A all B all C all D all E all F (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_cat_1(F,A,C,D) & m1_cat_1(E,A,B,C) & m1_subset_1(D,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) & v2_cat_1(A) -> m1_cat_1(k9_cat_1(A,B,C,D,E,F),A,B,D))) # label(dt_k9_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6356 (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)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B)))))))))))) # label(t97_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6357 (all A (l1_cat_1(A) -> v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_1(u3_cat_1(A)))) # label(dt_u3_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6358 (all A (l1_cat_1(A) -> -v1_xboole_0(u2_cat_1(A)))) # label(dt_u2_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6359 $T # label(t16_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6360 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> B = k2_cat_1(A,D) & C = k3_cat_1(A,D)))))))))) # label(t23_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6361 (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)) -> -(k1_xboole_0 = k6_cat_1(A,B,D) & k6_cat_1(A,C,D) != k1_xboole_0 & k1_xboole_0 != k6_cat_1(A,B,C)))))))))) # label(t52_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6362 $T # label(t3_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6363 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_relset_1(C,B,A) & v1_funct_1(D) & v1_funct_1(E) & m1_relset_1(F,A,B) & v1_funct_2(F,A,B) & v1_funct_1(F) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_2(C,B,A) & v1_funct_1(C) & -v1_xboole_0(B) -> (all G all H all I all J all K all L (g1_cat_1(A,B,C,D,E,F) = g1_cat_1(G,H,I,J,K,L) -> A = G & C = I & D = J & L = F & E = K & H = B)))) # label(free_g1_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6364 (all A all B all C all D all E (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) & l1_cat_1(A) & v2_cat_1(A) -> m2_relset_1(k16_cat_1(A,B,C,D,E),k6_cat_1(A,D,E),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))) & v1_funct_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))) & v1_funct_1(k16_cat_1(A,B,C,D,E)))) # label(dt_k16_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6365 (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]. 44.07/42.98 6366 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> (v4_cat_1(D,A) <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,C,E) -> (all G (m1_cat_1(G,A,C,E) -> (k9_cat_1(A,B,C,E,D,F) = k9_cat_1(A,B,C,E,D,G) -> k1_xboole_0 = k6_cat_1(A,C,E) | G = F))))))))))))))))) # label(t65_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6367 (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)) -> (k1_xboole_0 != k6_cat_1(A,D,E) -> (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]. 44.07/42.98 6368 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> k1_xboole_0 != k6_cat_1(k8_cat_1(A,B),C,D))))) # label(t38_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6369 $T # label(t119_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6370 (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,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t104_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6371 $T # label(t28_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6372 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v4_cat_1(F,A) & v4_cat_1(E,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | k6_cat_1(A,C,D) = k1_xboole_0 | v4_cat_1(k9_cat_1(A,B,C,D,E,F),A)))))))))))))) # label(t66_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6373 (all A all B (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> k5_cat_1(A,B) = k10_cat_1(A,B))) # label(redefinition_k10_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6374 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v3_cat_1(E,A) & v3_cat_1(F,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | v3_cat_1(k9_cat_1(A,B,C,D,E,F),A) | k6_cat_1(A,C,D) = k1_xboole_0))))))))))))) # label(t61_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6375 (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]. 44.07/42.98 6376 (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)) & k6_cat_1(A,B,C) = k1_tarski(F) & (all G (m1_cat_1(G,A,D,E) -> k1_tarski(G) != k6_cat_1(A,D,E)))))))))))))))) # label(t27_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6377 (exists A (v1_cat_1(A) & v2_cat_1(A) & l1_cat_1(A))) # label(rc3_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6378 (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]. 44.07/42.98 6379 $T # label(t79_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6380 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (all C (m2_cat_1(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)))))) # label(dt_m2_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.07/42.98 6381 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> ((all C (m1_subset_1(C,u1_cat_1(A)) -> (exists D (m1_cat_1(D,A,C,B) & k1_tarski(D) = k6_cat_1(A,C,B))))) <-> v6_cat_1(B,A)))))) # label(t86_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6382 (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]. 44.29/43.19 6383 (exists A (v1_cat_1(A) & l1_cat_1(A))) # label(rc1_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6384 (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)) -> (r1_cat_1(A,B,C) & r1_cat_1(A,C,D) -> r1_cat_1(A,B,D)))))))))) # label(t93_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6385 (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]. 44.29/43.19 6386 (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) != k1_xboole_0 -> (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]. 44.29/43.19 6387 (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]. 44.29/43.19 6388 (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))) <-> 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)))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) -> k1_funct_1(u3_cat_1(A),k1_funct_1(u5_cat_1(A),k4_tarski(C,B))) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),B) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) = k1_funct_1(u4_cat_1(A),k1_funct_1(u5_cat_1(A),k4_tarski(C,B)))))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),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)) -> (B = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) -> k1_funct_1(u5_cat_1(A),k4_tarski(C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B))) = C))) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) = B & 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)) = 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),u3_cat_1(A),D) = 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),C) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) -> 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))))))))))) <-> v2_cat_1(A)))) # label(d8_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6389 (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) -> (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]. 44.29/43.19 6390 $T # label(t114_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6391 (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) -> (G = F -> E = C & D = B | k1_xboole_0 = k6_cat_1(A,D,E) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))))))) # label(t24_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6392 (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) & k6_cat_1(A,C,D) != k1_xboole_0 & k9_cat_1(A,B,C,D,E,F) != k4_cat_1(A,E,F)))))))))))))) # label(d13_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6393 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v3_cat_1(B,A) <-> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,C) = k2_cat_1(A,B) & k2_cat_1(A,B) = k3_cat_1(A,D) & k4_cat_1(A,C,B) = k4_cat_1(A,D,B) & k2_cat_1(A,C) = k2_cat_1(A,D) -> D = C)))))))))) # label(d10_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6394 (all A (v2_cat_1(A) & l1_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]. 44.29/43.19 6395 (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) -> (v2_funct_1(C) & u2_cat_1(B) = k2_relat_1(C) & k2_relat_1(k12_cat_1(A,B,C)) = u1_cat_1(B) <-> v8_cat_1(C,A,B)))))))) # label(d22_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6396 $T # label(t1_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6397 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> ((all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) & k4_cat_1(A,B,C) = k4_cat_1(A,B,D) & k3_cat_1(A,C) = k3_cat_1(A,D) & k2_cat_1(A,D) = k3_cat_1(A,B) -> C = D))))) <-> v4_cat_1(B,A)))))) # label(d11_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6398 (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)) -> 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]. 44.29/43.19 6399 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> v5_cat_1(k11_cat_1(A,B,C,D),A) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))) # label(t76_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6400 (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) -> (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]. 44.29/43.19 6401 $T # label(t48_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6402 (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]. 44.29/43.19 6403 (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)) -> (k1_xboole_0 != k6_cat_1(A,B,C) & (exists D ((exists E (k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) & 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]. 44.29/43.19 6404 $T # label(t80_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6405 (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(C,A) & v6_cat_1(B,A) -> r1_cat_1(A,B,C)))))))) # label(t88_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6406 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_cat_1(A,k5_cat_1(A,B)) = B & B = k2_cat_1(A,k5_cat_1(A,B)))))) # label(t44_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6407 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) & k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))))))))))) # label(t99_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6408 (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]. 44.29/43.19 6409 (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]. 44.29/43.19 6410 (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,G,D) = k9_cat_1(A,E,B,C,F,D) -> k6_cat_1(A,E,B) = k1_xboole_0 | F = G))))))) <-> v3_cat_1(D,A))))))))))) # label(t60_cat_1) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6411 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6412 (all A all B all C (v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> k3_lattices(A,B,C) = k1_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6413 (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]. 44.29/43.19 6414 (all A (l1_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,B,C) & k2_lattices(A,C,B) = B)) <-> B = k5_lattices(A))))))) # label(d16_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6415 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))) # label(dt_k7_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6416 (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)) & l1_lattices(A) & -v3_struct_0(A) -> k4_lattices(A,B,C) = k4_lattices(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6417 (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) -> k3_lattices(A,B,C) = k3_lattices(A,C,B))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6418 (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) -> v2_lattices(g2_lattices(A,B)) & l2_lattices(g2_lattices(A,B)))) # label(dt_g2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6419 (all A (l1_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6420 (exists A (l1_lattices(A) & -v3_struct_0(A) & v1_lattices(A) & v7_lattices(A) & v6_lattices(A))) # label(rc8_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6421 (all A (-v3_struct_0(A) & v9_lattices(A) & l3_lattices(A) & v8_lattices(A) & v6_lattices(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]. 44.29/43.19 6422 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v15_lattices(A) <-> v13_lattices(A) & v14_lattices(A)))) # label(d15_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6423 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,k7_lattices(A,C)) <-> k4_lattices(A,B,C) = k5_lattices(A)))))))) # label(t52_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6424 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> k2_lattices(A,B,C) = k4_lattices(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6425 (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)) -> k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,B,D)) = k4_lattices(A,B,k3_lattices(A,C,D)))))))) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)) = k3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t19_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6426 $T # label(t46_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6427 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k2_lattices(A,B,C),k2_lattices(A,B,D)))))))) <-> v11_lattices(A)))) # label(d11_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6428 (exists A (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v2_lattices(A) & l2_lattices(A))) # label(rc7_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6429 $T # label(t13_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6430 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v16_lattices(A) & l3_lattices(A) & v11_lattices(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattices(A,C,B) <-> k7_lattices(A,B) = C)))))))) # label(d21_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6431 (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) -> m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6432 (all A all B all C (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(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6433 $T # label(t37_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6434 (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)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) = k1_lattices(A,B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6435 (all A (-v3_struct_0(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)) -> C = k1_lattices(A,k2_lattices(A,B,C),C)))))))) # label(d8_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6436 $T # label(t14_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6437 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v11_lattices(A) & v13_lattices(A) & v15_lattices(A) & v17_lattices(A) & v16_lattices(A) & v14_lattices(A) & v10_lattices(A) & v9_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6438 (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,C) = k5_lattices(A) & k2_lattices(A,C,B) = k5_lattices(A) & k6_lattices(A) = k1_lattices(A,C,B) & k1_lattices(A,B,C) = k6_lattices(A) <-> r2_lattices(A,B,C)))))))) # label(d18_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6439 (all A (l1_lattices(A) -> (v1_lattices(A) -> g1_lattices(u1_struct_0(A),u1_lattices(A)) = A))) # label(abstractness_v1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6440 $T # label(t6_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6441 (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)) -> (C = k1_lattices(A,B,C) <-> r1_lattices(A,B,C)))))))) # label(d3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6442 (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)) -> B = k7_lattices(A,k7_lattices(A,B)))))) # label(t49_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6443 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6444 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6445 (exists A (l1_lattices(A) & v1_lattices(A))) # label(rc1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6446 (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) -> C = B))))))) # label(t26_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6447 (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) -> v2_lattices(g2_lattices(A,B)) & -v3_struct_0(g2_lattices(A,B)))) # label(fc1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6448 (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_lattices(A,B,C) = k2_lattices(A,C,B))))) <-> v6_lattices(A)))) # label(d6_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6449 (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)) -> k5_lattices(A) = k4_lattices(A,k7_lattices(A,B),B))))) # label(t47_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6450 (all A (l3_lattices(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)) & r2_lattices(A,C,B))))) <-> v16_lattices(A)))) # label(d19_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6451 (all A (l1_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)) & v1_funct_1(u1_lattices(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6452 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6453 $T # label(t4_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6454 (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,C,D) & r1_lattices(A,B,C) -> r1_lattices(A,B,D)))))))))) # label(t25_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6455 (exists A (-v3_struct_0(A) & v3_lattices(A) & l3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.19 6456 (all A (-v3_struct_0(A) & v8_lattices(A) & l3_lattices(A) & v9_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,B,C) <-> k2_lattices(A,B,C) = B))))))) # label(t21_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6457 (all A (l2_lattices(A) & -v3_struct_0(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) & k1_lattices(A,B,C) = B)) <-> B = k6_lattices(A))))))) # label(d17_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6458 $T # label(t24_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6459 (all A (l1_lattices(A) & -v3_struct_0(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,B,C) = B & k2_lattices(A,C,B) = B)) & m1_subset_1(B,u1_struct_0(A)))) <-> v13_lattices(A)))) # label(d13_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6460 $T # label(t10_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6461 $T # label(t8_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6462 (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]. 44.29/43.20 6463 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6464 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v9_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,B,k1_lattices(A,B,C))))))))) # label(d9_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6465 $T # label(t16_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6466 $T # label(t1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6467 (all A (l3_lattices(A) & v8_lattices(A) & v6_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,k4_lattices(A,B,C),B))))))) # label(t23_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6468 (exists A (l1_lattices(A) & v1_lattices(A) & -v3_struct_0(A))) # label(rc5_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6469 (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(A,B) = g2_lattices(C,D) -> D = B & C = A)))) # label(free_g2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6470 (exists A (-v3_struct_0(A) & v3_lattices(A) & v6_lattices(A) & v7_lattices(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v12_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v5_lattices(A) & v4_lattices(A) & l3_lattices(A))) # label(rc10_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6471 (all A (l2_lattices(A) -> v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u2_lattices(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6472 (all A (l3_lattices(A) -> (v11_lattices(A) & v15_lattices(A) & v16_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6473 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v15_lattices(A) & v16_lattices(A) & v11_lattices(A) <-> v17_lattices(A)))) # label(d20_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6474 (all A (l3_lattices(A) -> (v17_lattices(A) & -v3_struct_0(A) -> v11_lattices(A) & v13_lattices(A) & v15_lattices(A) & v16_lattices(A) & v14_lattices(A) & -v3_struct_0(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6475 (exists A (l2_lattices(A) & v2_lattices(A))) # label(rc2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.29/43.20 6476 (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]. 44.29/43.20 6477 (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)) & l3_lattices(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]. 44.38/43.20 6478 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v7_lattices(A) & v5_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6479 $T # label(t28_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6480 (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]. 44.38/43.20 6481 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) & -v1_xboole_0(A) -> v1_lattices(g1_lattices(A,B)) & -v3_struct_0(g1_lattices(A,B)))) # label(fc2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6482 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k1_lattices(A,B,C),D))))))) <-> v5_lattices(A)))) # label(d5_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6483 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v7_lattices(A) & v5_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6484 (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)) -> k3_lattices(A,k5_lattices(A),B) = B)))) # label(t39_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6485 (all A all B all C (l1_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(k2_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6486 (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)) -> k3_lattices(A,k6_lattices(A),B) = k6_lattices(A))))) # label(t44_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6487 $T # label(t20_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6488 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v4_lattices(A) & v5_lattices(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A) & v8_lattices(A) <-> v10_lattices(A)))) # label(d10_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6489 (all A all B all C (v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v6_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]. 44.38/43.20 6490 $T # label(t3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6491 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,B,D) -> k2_lattices(A,k1_lattices(A,B,C),D) = k1_lattices(A,B,k2_lattices(A,C,D))))))))) <-> v12_lattices(A)))) # label(d12_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6492 (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)) -> B = k4_lattices(A,B,B))))) # label(t18_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6493 (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]. 44.38/43.20 6494 (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)) -> k6_lattices(A) = k3_lattices(A,k7_lattices(A,B),B))))) # label(t48_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6495 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (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]. 44.38/43.20 6496 (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]. 44.38/43.20 6497 $T # label(t11_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6498 (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]. 44.38/43.20 6499 (all A (v9_lattices(A) & l3_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]. 44.38/43.20 6500 (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)) -> 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]. 44.38/43.20 6501 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v14_lattices(A) -> -v3_struct_0(A) & v15_lattices(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6502 (all A (l2_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6503 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(D,E,F) = g3_lattices(A,B,C) -> C = F & E = B & D = A)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6504 (all A (v9_lattices(A) & l3_lattices(A) & v8_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]. 44.38/43.20 6505 (exists A (l2_lattices(A) & v2_lattices(A) & -v3_struct_0(A))) # label(rc4_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6506 (all A (l2_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) <-> (exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = B & k1_lattices(A,C,B) = B)) & m1_subset_1(B,u1_struct_0(A))))))) # label(d14_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6507 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6508 $T # label(t38_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6509 (all A (v11_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (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]. 44.38/43.20 6510 (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) -> l1_lattices(g1_lattices(A,B)) & v1_lattices(g1_lattices(A,B)))) # label(dt_g1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6511 $T # label(t33_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6512 (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)) & l2_lattices(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]. 44.38/43.20 6513 (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]. 44.38/43.20 6514 (exists A (l3_lattices(A) & v5_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A) & v3_lattices(A) & -v3_struct_0(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6515 $T # label(t42_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6516 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6517 $T # label(t36_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6518 (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)) -> B = k4_lattices(A,k6_lattices(A),B))))) # label(t43_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6519 (exists A (-v3_struct_0(A) & v3_lattices(A) & v7_lattices(A) & v9_lattices(A) & v13_lattices(A) & v15_lattices(A) & v14_lattices(A) & v10_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & l3_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6520 $T # label(t7_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6521 $T # label(t5_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6522 $T # label(t35_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6523 $T # label(t15_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6524 (all A (l2_lattices(A) -> (v2_lattices(A) -> g2_lattices(u1_struct_0(A),u2_lattices(A)) = A))) # label(abstractness_v2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6525 (all A (-v3_struct_0(A) & l2_lattices(A) -> (v4_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)))))))) # label(d4_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6526 $T # label(t9_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6527 (all A (l3_lattices(A) -> (v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v8_lattices(A) & v9_lattices(A) & v12_lattices(A) & v10_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6528 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6529 $T # label(t12_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6530 (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)) -> k5_lattices(A) = k4_lattices(A,k5_lattices(A),B))))) # label(t40_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6531 (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)) -> 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]. 44.38/43.20 6532 (exists A (-v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v13_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & l3_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6533 $T # label(t2_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6534 (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)) -> k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)) = k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)))))))) -> v11_lattices(A)))) # label(t29_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6535 $T # label(t30_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6536 (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 (g1_lattices(A,B) = g1_lattices(C,D) -> D = B & C = A)))) # label(free_g1_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6537 (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)) -> (k4_lattices(A,B,C) = k4_lattices(A,B,D) & k3_lattices(A,B,D) = k3_lattices(A,B,C) -> D = C))))))))) # label(t32_lattices) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6538 (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]. 44.38/43.20 6539 $T # label(t38_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6540 (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]. 44.38/43.20 6541 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C all D (g1_pre_topc(A,B) = g1_pre_topc(C,D) -> B = D & C = A)))) # label(free_g1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6542 $T # label(t29_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6543 $T # label(t7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6544 (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]. 44.38/43.20 6545 $T # label(t37_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6546 $T # label(t11_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6547 (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]. 44.38/43.20 6548 (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]. 44.38/43.20 6549 (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]. 44.38/43.20 6550 $T # label(t1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6551 (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(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]. 44.38/43.20 6552 (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) -> 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]. 44.38/43.20 6553 $T # label(t10_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6554 (exists A l1_pre_topc(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6555 (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) -> k9_relat_1(C,D) = k4_pre_topc(A,B,C,D))) # label(redefinition_k4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6556 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> (k3_pre_topc(A,B) = C <-> B = k2_pre_topc(C)))))))) # label(d10_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6557 (all A (l1_struct_0(A) -> u1_struct_0(A) = k2_pre_topc(A))) # label(t12_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6558 $T # label(t32_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6559 (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]. 44.38/43.20 6560 $T # label(t36_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6561 (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]. 44.38/43.20 6562 $T # label(d7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6563 $T # label(t28_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6564 (all A (l1_struct_0(A) -> k2_pre_topc(A) = u1_struct_0(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6565 (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]. 44.38/43.20 6566 (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]. 44.38/43.20 6567 (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))) -> (k2_pre_topc(A) = k4_subset_1(u1_struct_0(A),B,C) & r1_xboole_0(B,C) -> C = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)))))))) # label(t25_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6568 (all A (-v3_struct_0(A) & l1_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]. 44.38/43.20 6569 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6570 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(B != k1_pre_topc(A) & (all C (m1_subset_1(C,u1_struct_0(A)) -> -r2_hidden(C,B)))))))) # label(t41_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6571 $T # label(t2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6572 (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))) & v4_pre_topc(D,A) & k3_xboole_0(D,k2_pre_topc(B)) = C)) <-> v4_pre_topc(C,B)))))))) # label(t43_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6573 $T # label(d4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6574 $T # label(t34_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6575 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C)) = k6_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t50_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6576 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6577 $T # label(t19_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6578 (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]. 44.38/43.20 6579 (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)) & -(k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) != k1_xboole_0 & k2_pre_topc(A) = B))))) # label(t23_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6580 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(k2_pre_topc(A)))) # label(fc2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6581 $T # label(t35_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6582 (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]. 44.38/43.20 6583 (exists A (l1_pre_topc(A) & v1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A))) # label(rc2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6584 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,u1_pre_topc(A)) -> r2_hidden(k5_setfam_1(u1_struct_0(A),B),u1_pre_topc(A))))) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,u1_pre_topc(A)) & r2_hidden(C,u1_pre_topc(A)) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),u1_pre_topc(A))))))) & r2_hidden(u1_struct_0(A),u1_pre_topc(A))))) # label(d1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6585 $T # label(t6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6586 (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]. 44.38/43.20 6587 $T # label(t9_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6588 $T # label(t30_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6589 (all A (l1_struct_0(A) -> k1_pre_topc(A) = k1_xboole_0)) # label(d2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6590 (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]. 44.38/43.20 6591 $T # label(t40_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6592 (all A (l1_pre_topc(A) -> (v1_pre_topc(A) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = A))) # label(abstractness_v1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6593 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> l1_pre_topc(g1_pre_topc(A,B)) & v1_pre_topc(g1_pre_topc(A,B)))) # label(dt_g1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6594 (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))) -> (C = k6_pre_topc(A,B) <-> (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) & r1_xboole_0(B,E) & r2_hidden(D,E)))))))))))))) # label(d13_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6595 (all A (l1_pre_topc(A) -> l1_struct_0(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6596 (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]. 44.38/43.20 6597 (all A (l1_struct_0(A) -> v1_xboole_0(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)) & v1_membered(k1_pre_topc(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6598 $T # label(t31_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6599 (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]. 44.38/43.20 6600 (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]. 44.38/43.20 6601 (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]. 44.38/43.20 6602 $T # label(t3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6603 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) <-> k2_pre_topc(A) = k5_setfam_1(u1_struct_0(A),B)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6604 (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]. 44.38/43.20 6605 $T # label(d11_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6606 $T # label(t33_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6607 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B))))) # label(rc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6608 (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]. 44.38/43.20 6609 (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))) -> ((exists D (k3_xboole_0(D,k2_pre_topc(B)) = C & r2_hidden(D,u1_pre_topc(A)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r2_hidden(C,u1_pre_topc(B)))))))))) # label(d9_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6610 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6611 (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,k6_pre_topc(A,B)) <-> -v3_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))))))))))) # label(t54_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6612 (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]. 44.38/43.20 6613 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) & -v1_xboole_0(B))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6614 (all A (l1_pre_topc(A) -> (exists B m1_pre_topc(B,A)))) # label(existence_m1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6615 (all A all B all C all D (l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & l1_struct_0(A) -> k10_relat_1(C,D) = k5_pre_topc(A,B,C,D))) # label(redefinition_k5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6616 (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]. 44.38/43.20 6617 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_pre_topc(k3_pre_topc(A,B)) & -v3_struct_0(k3_pre_topc(A,B)))) # label(fc3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6618 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (r2_hidden(C,u1_struct_0(A)) -> (r2_hidden(C,k6_pre_topc(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,D) & v4_pre_topc(D,A) -> r2_hidden(C,D))))))))))) # label(t45_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6619 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> v4_pre_topc(D,A) & r1_tarski(B,D)))) & 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]. 44.38/43.20 6620 (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]. 44.38/43.20 6621 $T # label(t8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6622 $T # label(t21_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6623 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> B = k6_pre_topc(A,B)) & (B = k6_pre_topc(A,B) & v2_pre_topc(A) -> v4_pre_topc(B,A)))))) # label(t52_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6624 (exists A (l1_pre_topc(A) & v1_pre_topc(A))) # label(rc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6625 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6626 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_pre_topc(k3_pre_topc(A,B),A) & v1_pre_topc(k3_pre_topc(A,B)))) # label(dt_k3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6627 $T # label(t4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6628 (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]. 44.38/43.20 6629 (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]. 44.38/43.20 6630 $T # label(t20_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6631 $T # label(t26_pre_topc) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6632 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(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]. 44.38/43.20 6633 (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]. 44.38/43.20 6634 (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) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t96_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6635 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A) & v3_pre_topc(k2_pre_topc(A),A))) # label(fc8_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6636 (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]. 44.38/43.20 6637 (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(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]. 44.38/43.20 6638 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k1_tops_1(A,k2_tops_1(A,B)) = k1_xboole_0))))) # label(t110_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6639 $T # label(t16_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6640 (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,k6_pre_topc(A,C))) = k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C))))))))) # label(t41_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6641 (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]. 44.38/43.20 6642 (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]. 44.38/43.20 6643 (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]. 44.38/43.20 6644 (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) -> v3_tops_1(k2_tops_1(A,B),A) & v2_tops_1(k2_tops_1(A,B),A))) # label(fc12_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6645 $T # label(t24_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6646 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(C,A) & v6_tops_1(B,A) -> v6_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t109_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6647 $T # label(t60_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6648 (all A all B (v3_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(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]. 44.38/43.20 6649 (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_xboole_0 = k1_tops_1(A,B)))))) # label(t84_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6650 $T # label(t78_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6651 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) -> k2_tops_1(A,k6_pre_topc(A,B)) = k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B) & k2_tops_1(A,k6_pre_topc(A,B)) = k2_tops_1(A,B)))))) # label(t104_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6652 (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(k1_tops_1(A,B),A))))) # label(t51_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6653 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v3_pre_topc(k1_pre_topc(A),A))) # label(t52_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6654 (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(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]. 44.38/43.20 6655 (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]. 44.38/43.20 6656 $T # label(t1_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6657 (all A (l1_pre_topc(A) & v2_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]. 44.38/43.20 6658 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t95_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6659 $T # label(t14_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6660 (all A (l1_pre_topc(A) -> v1_xboole_0(k1_tops_1(A,k1_pre_topc(A))) & v3_membered(k1_tops_1(A,k1_pre_topc(A))) & v5_membered(k1_tops_1(A,k1_pre_topc(A))) & v4_membered(k1_tops_1(A,k1_pre_topc(A))) & v2_membered(k1_tops_1(A,k1_pre_topc(A))) & v1_membered(k1_tops_1(A,k1_pre_topc(A))))) # label(fc5_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6661 (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]. 44.38/43.20 6662 $T # label(t18_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6663 (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]. 44.38/43.20 6664 $T # label(t7_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6665 (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]. 44.38/43.20 6666 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> v4_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t35_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6667 (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]. 44.38/43.20 6668 (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]. 44.38/43.20 6669 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t36_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6670 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k2_tops_1(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(D,A) & r2_hidden(C,D) -> -r1_xboole_0(k3_subset_1(u1_struct_0(A),B),D) & -r1_xboole_0(B,D))))))))))) # label(t61_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.20 6671 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) <-> r1_tarski(B,k6_pre_topc(A,k1_tops_1(A,B))) & r1_tarski(k1_tops_1(A,k6_pre_topc(A,B)),B)))))) # label(d6_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6672 (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))) -> -(C != k1_xboole_0 & v3_pre_topc(C,A) & r1_xboole_0(B,C)))) <-> v1_tops_1(B,A)))))) # label(t80_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6673 (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]. 44.38/43.21 6674 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,k1_tops_1(A,B)) = k1_tops_1(A,B))))) # label(t45_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6675 (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]. 44.38/43.21 6676 $T # label(t25_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6677 $T # label(t23_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6678 (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) -> k1_tops_1(B,D) = D) & (C = k1_tops_1(A,C) -> v3_pre_topc(C,A)))))))))) # label(t55_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6679 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v3_pre_topc(C,A) -> C = k1_xboole_0)))))))) # label(t86_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6680 (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]. 44.38/43.21 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) & v2_tops_1(B,A) -> v3_tops_1(B,A)))))) # label(t93_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6682 $T # label(t6_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6683 (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) & v1_tops_1(B,A) -> v1_tops_1(C,A)))))))) # label(t79_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 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))) -> (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]. 44.38/43.21 6685 (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),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))) = k4_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]. 44.38/43.21 6686 (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]. 44.38/43.21 6687 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(A),B,k2_pre_topc(A)) = k2_pre_topc(A))))) # label(t2_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6688 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_tops_1(B,A) -> k1_xboole_0 = B))))) # label(t97_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6689 (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]. 44.38/43.21 6690 (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]. 44.38/43.21 6691 (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) -> v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(cc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6692 $T # label(t28_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6693 (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]. 44.38/43.21 6694 (all A (l1_pre_topc(A) -> v1_tops_1(k2_pre_topc(A),A))) # label(fc9_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6695 (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]. 44.38/43.21 6696 (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]. 44.38/43.21 6697 (all A (l1_pre_topc(A) -> k2_pre_topc(A) = k6_pre_topc(A,k2_pre_topc(A)))) # label(t27_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6698 (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]. 44.38/43.21 6699 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> k6_pre_topc(A,C) = k6_pre_topc(A,k5_subset_1(u1_struct_0(A),C,B)))))))))) # label(t81_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6700 (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]. 44.38/43.21 6701 $T # label(t9_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6702 (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]. 44.38/43.21 6703 $T # label(t5_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6704 $T # label(t3_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6705 (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))) -> -(C != k1_xboole_0 & v3_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,C) & k1_xboole_0 != D & r1_xboole_0(B,D) & v3_pre_topc(D,A))))))))))))) # label(t87_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6706 (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]. 44.38/43.21 6707 $T # label(t42_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6708 (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]. 44.38/43.21 6709 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) & v3_pre_topc(C,A) & v1_tops_1(C,A) -> v1_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t82_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6710 (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]. 44.38/43.21 6711 (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]. 44.38/43.21 6712 $T # label(t10_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6713 (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(k6_pre_topc(A,B),A) & v4_tops_1(k1_tops_1(A,B),A)))))) # label(t111_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6714 (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]. 44.38/43.21 6715 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) & v4_pre_topc(C,A) & v2_tops_1(C,A) -> v2_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t85_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6716 $T # label(t100_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6717 (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]. 44.38/43.21 6718 (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]. 44.38/43.21 6719 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v2_tops_1(B,A) -> v3_tops_1(B,A) & v2_tops_1(B,A)))))) # label(cc5_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6720 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A))) # label(fc3_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6721 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v3_pre_topc(B,A) & v4_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]. 44.38/43.21 6722 $T # label(t13_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6723 (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]. 44.38/43.21 6724 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_subset_1(u1_struct_0(A),C) = k3_subset_1(u1_struct_0(A),B) -> B = C))))))) # label(t21_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6725 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_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]. 44.38/43.21 6726 $T # label(t89_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6727 (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]. 44.38/43.21 6728 (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]. 44.38/43.21 6729 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v4_pre_topc(B,A) -> r1_tarski(k6_pre_topc(A,C),B)))))))) # label(t31_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 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))) -> (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]. 44.38/43.21 6731 (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]. 44.38/43.21 6732 (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)) & v4_membered(k1_tops_1(A,B)) & v5_membered(k1_tops_1(A,B)) & v2_tops_1(k1_tops_1(A,B),A) & v3_membered(k1_tops_1(A,B)) & v2_membered(k1_tops_1(A,B)))) # label(fc10_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6733 $T # label(t4_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6734 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) & l1_pre_topc(A) & v2_pre_topc(A) -> v3_tops_1(k2_tops_1(A,B),A) & v2_tops_1(k2_tops_1(A,B),A))) # label(fc13_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6735 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v1_xboole_0(k1_pre_topc(A)) & v3_pre_topc(k1_pre_topc(A),A) & v1_membered(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v4_pre_topc(k1_pre_topc(A),A))) # label(fc7_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6736 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) & v3_tops_1(C,A) -> v3_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t90_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6737 (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]. 44.38/43.21 6738 (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]. 44.38/43.21 6739 (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 ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,D) & r1_tarski(D,B) & v3_pre_topc(D,A))) <-> r2_hidden(C,B)))))))) # label(t57_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6740 (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]. 44.38/43.21 6741 (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]. 44.38/43.21 6742 (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]. 44.38/43.21 6743 (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]. 44.38/43.21 6744 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v4_pre_topc(k6_pre_topc(A,B),A))) # label(fc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6745 $T # label(t15_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6746 (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))) -> k5_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)) = k1_tops_1(A,k5_subset_1(u1_struct_0(A),B,C)))))))) # label(t46_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6747 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,B),k6_pre_topc(A,B)))))) # label(t63_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6748 (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]. 44.38/43.21 6749 (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]. 44.38/43.21 6750 $T # label(t98_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6751 (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)) & v4_membered(k1_pre_topc(A)) & v5_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]. 44.38/43.21 6752 (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,k2_tops_1(A,B))) = k2_tops_1(A,k2_tops_1(A,B)))))) # label(t75_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6753 (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]. 44.38/43.21 6754 (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]. 44.38/43.21 6755 (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)) & (v3_pre_topc(D,B) & v4_tops_1(D,B) -> v6_tops_1(D,B)))))))))) # label(t107_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6756 (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]. 44.38/43.21 6757 $T # label(t33_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6758 (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]. 44.38/43.21 6759 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(d4_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6760 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v3_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6761 (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]. 44.38/43.21 6762 (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) <-> k2_tops_1(A,B) = k6_subset_1(u1_struct_0(A),B,k1_tops_1(A,B))))))) # label(t77_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6763 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v3_pre_topc(B,A) & v1_membered(B) & v2_membered(B) & v3_membered(B) & v5_membered(B) & v3_tops_1(B,A) & v2_tops_1(B,A) & v4_membered(B) & v4_pre_topc(B,A))))) # label(rc5_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6764 (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]. 44.38/43.21 6765 $T # label(t17_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6766 (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]. 44.38/43.21 6767 $T # label(t83_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6768 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = k1_tops_1(A,k6_pre_topc(A,B)) <-> v6_tops_1(B,A)))))) # label(d8_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6769 $T # label(t19_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6770 (all A (l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_tops_1(B,A) & v5_membered(B) & v4_membered(B) & v3_membered(B) & v2_membered(B) & v1_membered(B) & v1_xboole_0(B))))) # label(rc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6771 (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]. 44.38/43.21 6772 (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]. 44.38/43.21 6773 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) <-> v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t29_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6774 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (r1_tarski(D,C) & r2_hidden(B,D) & v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r2_hidden(B,k1_tops_1(A,C))))))) # label(t54_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6775 $T # label(t11_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6776 $T # label(t99_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6777 (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) & v3_pre_topc(B,A) -> v1_xboole_0(B) & v1_membered(B) & v3_membered(B) & v4_membered(B) & v5_membered(B) & v3_tops_1(B,A) & v2_tops_1(B,A) & v2_membered(B) & v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(cc6_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6778 $T # label(t12_tops_1) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6779 (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]. 44.38/43.21 6780 (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]. 44.38/43.21 6781 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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) -> (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]. 44.38/43.21 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_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]. 44.38/43.21 6783 (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]. 44.38/43.21 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)))) -> -(k1_xboole_0 = B & r1_pre_topc(A,B)))))) # label(t5_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6785 $T # label(t37_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6786 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(C,A) & r1_tarski(B,C) -> v1_tops_2(B,A)))))))) # label(t18_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6787 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (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)))) & k2_relat_1(C) = k2_pre_topc(B) & k1_relat_1(C) = k2_pre_topc(A) <-> v3_tops_2(C,A,B)))))))) # label(t72_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6788 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> (v2_tops_2(D,B) & v5_pre_topc(C,A,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k9_relat_1(k3_funct_3(C),D) = E -> v2_tops_2(E,A))))))))))))) # label(t60_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6789 (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(C,A) & r1_tarski(B,C) -> v2_tops_2(B,A)))))))) # label(t19_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6790 $T # label(t30_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6791 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) -> (all 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)) & v1_funct_1(E) -> (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]. 44.38/43.21 6792 (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) & v2_funct_1(C) & v5_pre_topc(k2_tops_2(A,B,C),B,A) & v5_pre_topc(C,A,B) & k2_relat_1(C) = k2_pre_topc(B)))))))) # label(d5_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6793 (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]. 44.38/43.21 6794 $T # label(t4_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6795 $T # label(t14_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6796 (all A all B all C (l1_struct_0(A) & 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) -> 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]. 44.38/43.21 6797 $T # label(t9_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6798 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> 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]. 44.38/43.21 6799 (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 ((all E (r2_hidden(E,C) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (E = F -> k5_subset_1(u1_struct_0(A),F,B) = k1_funct_1(D,E)))))) & k2_relat_1(D) = k1_tops_2(A,B,C) & k1_relat_1(D) = C & v1_funct_1(D) & v1_relat_1(D))))))))) # label(t50_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6800 (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]. 44.38/43.21 6801 (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]. 44.38/43.21 6802 (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]. 44.38/43.21 6803 (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]. 44.38/43.21 6804 (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]. 44.38/43.21 6805 $T # label(t8_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6806 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (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]. 44.38/43.21 6807 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v4_pre_topc(C,A)))) <-> v2_tops_2(B,A)))))) # label(d2_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6808 (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)) -> (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))) -> k4_pre_topc(A,B,C,k6_pre_topc(A,D)) = k6_pre_topc(B,k4_pre_topc(A,B,C,D)))) & k2_pre_topc(A) = k1_relat_1(C) <-> v3_tops_2(C,A,B)))))))) # label(t74_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6809 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B != k1_xboole_0 -> k6_setfam_1(A,k7_setfam_1(A,B)) = k3_subset_1(A,k5_setfam_1(A,B))))) # label(t11_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6810 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_pre_topc(C,A) -> (v1_tops_2(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) -> (B = D -> v1_tops_2(D,C))))))))))) # label(t35_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6811 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v2_funct_1(C) & k2_pre_topc(B) = k2_relat_1(C) -> k4_pre_topc(A,B,C,D) = k5_pre_topc(B,A,k2_tops_2(A,B,C),D)))))))))) # label(t67_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 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_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(C,A) & v1_tops_2(B,A) -> v1_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t20_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6813 (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)) -> (k2_pre_topc(B) = k2_relat_1(C) & v2_funct_1(C) -> C = k2_tops_2(B,A,k2_tops_2(A,B,C))))))))) # label(t64_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6814 (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_finset_1(B) & v1_tops_2(B,A) -> v3_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t27_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6815 (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))) & v3_pre_topc(D,A) & k3_xboole_0(D,k2_pre_topc(B)) = C)) <-> v3_pre_topc(C,B)))))))) # label(t32_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6816 (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)) -> k2_pre_topc(A) = k1_relat_1(C) & r1_tarski(k2_relat_1(C),k2_pre_topc(B)))))))) # label(t51_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6817 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(B) -> (all C (l1_struct_0(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) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) -> (v2_funct_1(D) & k2_relat_1(E) = k2_pre_topc(C) & v2_funct_1(E) & k1_relat_1(E) = k2_pre_topc(B) & k2_relat_1(D) = k2_pre_topc(B) & k2_pre_topc(A) = k1_relat_1(D) -> k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k2_tops_2(B,C,E),k2_tops_2(A,B,D)) = k2_tops_2(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E))))))))))))) # label(t66_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6818 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) -> (v4_pre_topc(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (D = B -> v4_pre_topc(D,C))))))))))) # label(t34_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6819 $T # label(t61_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6820 (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]. 44.38/43.21 6821 (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)) -> (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]. 44.38/43.21 6822 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (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]. 44.38/43.21 6823 (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))))) -> ((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (r2_hidden(E,D) <-> (exists F (k5_subset_1(u1_struct_0(A),F,B) = E & r2_hidden(F,C) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))))))) <-> D = k1_tops_2(A,B,C)))))))))) # label(d3_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6824 $T # label(t7_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6825 (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) <-> v1_tops_2(k7_setfam_1(u1_struct_0(A),B),A)))))) # label(t16_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6826 $T # label(t53_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6827 $T # label(t69_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6828 (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]. 44.38/43.21 6829 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (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]. 44.38/43.21 6830 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (k2_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) -> k2_tops_2(A,B,C) = k2_funct_1(C)))))))) # label(d4_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6831 (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]. 44.38/43.21 6832 $T # label(t2_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6833 (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))) -> (D = B -> v3_pre_topc(D,C))))))))))) # label(t33_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6834 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & l1_pre_topc(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]. 44.38/43.21 6835 (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) -> (k2_pre_topc(B) = k2_relat_1(C) & v2_funct_1(C) -> k6_relat_1(k1_relat_1(C)) = k5_relat_1(C,k2_tops_2(A,B,C)) & k5_relat_1(k2_tops_2(A,B,C),C) = k6_relat_1(k2_relat_1(C))))))))) # label(t65_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6836 (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]. 44.38/43.21 6837 (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]. 44.38/43.21 6838 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> k2_pre_topc(A) = k2_relat_1(k2_tops_2(A,B,C)) & k2_pre_topc(B) = k1_relat_1(k2_tops_2(A,B,C))))))))) # label(t62_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 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)))) -> (v1_finset_1(C) -> v1_finset_1(k1_tops_2(A,B,C))))))))) # label(t46_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6840 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (E = k2_pre_topc(B) -> k1_tops_2(A,E,D) = C))) & v1_tops_2(D,A)))) & v1_tops_2(C,B)))))))) # label(t49_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.21 6841 (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]. 44.38/43.21 6842 (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]. 44.38/43.21 6843 (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]. 44.38/43.21 6844 (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]. 44.38/43.21 6845 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v2_tops_2(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]. 44.38/43.22 6846 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) -> (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]. 44.38/43.22 6847 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(k7_setfam_1(u1_struct_0(A),B)) <-> v1_finset_1(B)))))) # label(t13_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6848 (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]. 44.38/43.22 6849 (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) -> (v5_pre_topc(C,A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(D,B) -> v3_pre_topc(k5_pre_topc(A,B,C,D),A))))))))))) # label(t55_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6850 (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]. 44.38/43.22 6851 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t29_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6852 $T # label(t15_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6853 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k2_pre_topc(B) = k2_relat_1(C) & v2_funct_1(C) -> k5_pre_topc(A,B,C,D) = k4_pre_topc(B,A,k2_tops_2(A,B,C),D)))))))))) # label(t68_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6854 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k1_xboole_0 != k7_setfam_1(A,B) & B = k1_xboole_0) & -(k1_xboole_0 != B & k1_xboole_0 = k7_setfam_1(A,B)))) # label(t10_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6855 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_tops_2(C,A,B) <-> (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)))) & v2_funct_1(C) & k2_pre_topc(B) = k2_relat_1(C) & k1_relat_1(C) = k2_pre_topc(A)))))))) # label(t73_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6856 $T # label(t39_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6857 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(k7_setfam_1(u1_struct_0(A),B),A) <-> v1_tops_2(B,A)))))) # label(t17_tops_2) # label(axiom) # label(non_clause). [assumption]. 44.38/43.22 6858 (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)) -> k2_pre_topc(A) = k5_pre_topc(A,B,C,k2_pre_topc(B)))))))) # label(t52_tops_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6859 (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]. 146.84/145.65 6860 $T # label(t1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6861 (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)) -> (k5_rlvect_1(A,C) = k5_rlvect_1(A,B) -> B = C))))))) # label(t31_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6862 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,k5_rlvect_1(A,B)) = B)))) # label(t30_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6863 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> k7_rlvect_1(A,B,C) = k10_finseq_1(B,C))) # label(redefinition_k7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6864 (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)) -> 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]. 146.84/145.65 6865 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)))))))) # label(d3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6866 (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)) -> (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]. 146.84/145.65 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)) -> k1_rlvect_1(A) = k2_rlvect_1(A,B,k5_rlvect_1(A,B)) & k2_rlvect_1(A,k5_rlvect_1(A,B),B) = k1_rlvect_1(A))))) # label(t16_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6868 (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)) -> k1_rlvect_1(A) = k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,B))) & k1_rlvect_1(A) = k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),B)))))) # label(t76_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6869 (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,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (k1_rlvect_1(A) = k2_rlvect_1(A,B,C) & m1_subset_1(C,u1_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,D,k3_real_1(B,C)) = k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,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,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,u1_struct_0(A)) -> B = k2_rlvect_1(A,B,k1_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) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A)))) # label(t7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6870 (exists A (l1_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A))) # label(rc5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6871 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))) = k1_rlvect_1(A))) # label(t60_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6872 (all A all B all C all D (m1_subset_1(B,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> 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]. 146.84/145.65 6873 (all A all B all C (v1_funct_1(B) & 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) -> (all D all E all F (g1_rlvect_1(D,E,F) = g1_rlvect_1(A,B,C) -> E = B & F = C & D = A)))) # label(free_g1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6874 $T # label(t13_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6875 $T # label(t15_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6876 $T # label(t12_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6877 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (v2_funct_1(C) & v2_funct_1(B) & k2_relat_1(B) = k2_relat_1(C) -> k9_rlvect_1(A,C) = k9_rlvect_1(A,B)))))))) # label(t59_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6878 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A))) # label(rc1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6879 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,D,B,C)))))))))) # label(t89_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6880 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k9_rlvect_1(A,k7_rlvect_1(A,B,C)))))))) # label(t62_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6881 (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)) -> k2_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)))))))))) # label(t82_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6882 (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)) -> 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]. 146.84/145.65 6883 (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]. 146.84/145.65 6884 (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)) -> m2_finseq_1(k7_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6885 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,B) = k6_rlvect_1(A,k1_rlvect_1(A),B))))) # label(t27_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6886 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (np__0 = k3_finseq_1(B) -> k9_rlvect_1(A,B) = k1_rlvect_1(A)))))) # label(t94_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6887 (all A (l2_rlvect_1(A) -> v1_funct_1(u2_rlvect_1(A)) & v1_funct_2(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6888 (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)) -> (k6_rlvect_1(A,B,C) = k1_rlvect_1(A) -> B = C))))))) # label(t35_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6889 (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)) -> k2_rlvect_1(A,k1_rlvect_1(A),B) = B & B = k2_rlvect_1(A,B,k1_rlvect_1(A)))))) # label(t10_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6890 $T # label(t65_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6891 (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,k1_rlvect_1(A)) = B)))) # label(t26_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6892 (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,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 = 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]. 146.84/145.65 6893 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,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]. 146.84/145.65 6894 (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)) -> (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]. 146.84/145.65 6895 (all A (l1_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)) -> ((exists D ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (k1_funct_1(B,k1_nat_1(E,np__1)) = F -> k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) = k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F) | r1_xreal_0(k3_finseq_1(B),E)))))) & k8_funct_2(k5_numbers,u1_struct_0(A),D,np__0) = k1_rlvect_1(A) & C = k8_funct_2(k5_numbers,u1_struct_0(A),D,k3_finseq_1(B)) & m2_relset_1(D,k5_numbers,u1_struct_0(A)) & v1_funct_2(D,k5_numbers,u1_struct_0(A)) & v1_funct_1(D))) <-> k9_rlvect_1(A,B) = C))))))) # label(d12_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6896 $T # label(t11_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6897 (all A all B all C all D (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) -> m2_finseq_1(k8_rlvect_1(A,B,C,D),u1_struct_0(A)))) # label(dt_k8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6898 (exists A (l2_rlvect_1(A) & -v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A))) # label(rc6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6899 (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_rlvect_1(A) & -v3_struct_0(A) -> k2_rlvect_1(A,B,C) = k4_rlvect_1(A,B,C))) # label(redefinition_k4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6900 $T # label(t14_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6901 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B = k5_rlvect_1(A,B) -> B = k1_rlvect_1(A)))))) # label(t33_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6902 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),np__1) & D = k1_funct_1(B,k3_finseq_1(B)) & k7_relat_1(B,k4_finseq_1(C)) = C -> k9_rlvect_1(A,B) = k2_rlvect_1(A,k9_rlvect_1(A,C),D)))))))))) # label(t55_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6903 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (E = k1_funct_1(C,D) & r2_hidden(D,k4_finseq_1(B)) -> k5_rlvect_1(A,E) = k1_funct_1(B,D)))))) & k3_finseq_1(B) = k3_finseq_1(C) -> k9_rlvect_1(A,B) = k5_rlvect_1(A,k9_rlvect_1(A,C))))))))) # label(t57_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6904 (all A all B all C all D (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> k8_rlvect_1(A,B,C,D) = k11_finseq_1(B,C,D))) # label(redefinition_k8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6905 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,B)) = k3_rlvect_1(A,B,np__2))))) # label(t79_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6906 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_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]. 146.84/145.65 6907 (all A (l1_rlvect_1(A) -> v1_funct_1(u1_rlvect_1(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_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6908 (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)) -> 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]. 146.84/145.65 6909 (all A (l2_rlvect_1(A) -> l1_rlvect_1(A))) # label(dt_l2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6910 $T # label(t6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6911 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)) = k3_rlvect_1(A,B,np__3))))) # label(t93_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6912 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & m1_finseq_1(B,u1_struct_0(A)) -> m1_subset_1(k9_rlvect_1(A,B),u1_struct_0(A)))) # label(dt_k9_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6913 (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)) -> (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]. 146.84/145.65 6914 (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)) -> k2_rlvect_1(A,B,C) = k9_rlvect_1(A,k8_rlvect_1(A,k1_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)) = k2_rlvect_1(A,B,C))))))) # label(t92_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6915 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_rlvect_1(A) -> k4_rlvect_1(A,C,B) = k4_rlvect_1(A,B,C))) # label(commutativity_k4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6916 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_numbers) & 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]. 146.84/145.65 6917 (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)) -> k6_rlvect_1(A,B,B) = k1_rlvect_1(A))))) # label(t28_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6918 (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]. 146.84/145.65 6919 (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)) -> k5_rlvect_1(A,k6_rlvect_1(A,B,C)) = k2_rlvect_1(A,C,k5_rlvect_1(A,B)))))))) # label(t47_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6920 (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_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_rlvect_1(A),B,C) = k2_rlvect_1(A,B,C))))))) # label(t5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6921 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (C = k1_funct_1(B,np__1) & k1_funct_1(B,np__2) = D & E = k1_funct_1(B,np__3) & k3_finseq_1(B) = np__3 -> k9_rlvect_1(A,B) = k2_rlvect_1(A,k2_rlvect_1(A,C,D),E)))))))))))) # label(t97_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6922 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 146.84/145.65 6923 (exists A (l2_rlvect_1(A) & -v3_struct_0(A))) # label(rc3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6924 $T # label(t17_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6925 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_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)) -> (k1_funct_1(B,np__2) = D & k1_funct_1(B,np__1) = C & 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]. 146.84/145.65 6926 (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)) -> (k1_rlvect_1(A) = k2_rlvect_1(A,B,C) -> B = k5_rlvect_1(A,C)))))))) # label(t19_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6927 (all A (-v3_struct_0(A) & l1_rlvect_1(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]. 146.84/145.65 6928 (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(k6_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6929 (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,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D))))))))))) # label(d6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6930 (all A (l1_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))))) <-> v6_rlvect_1(A)))) # label(d8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6931 (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)) -> k5_rlvect_1(A,k2_rlvect_1(A,B,C)) = k6_rlvect_1(A,k5_rlvect_1(A,C),B))))))) # label(t44_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6932 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (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]. 146.84/145.65 6933 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_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)) -> 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]. 146.84/145.65 6934 (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]. 146.84/145.65 6935 (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)) -> 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]. 146.84/145.65 6936 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> k1_rlvect_1(A) = k5_rlvect_1(A,k1_rlvect_1(A)))) # label(t25_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6937 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (k3_finseq_1(B) = np__1 -> k1_funct_1(B,np__1) = k9_rlvect_1(A,B)))))) # label(t95_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6938 (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)) -> 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]. 146.84/145.65 6939 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rlvect_1(B,C,A) = k3_rlvect_1(B,k5_rlvect_1(B,C),k1_real_1(A)))))))) # label(t40_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6940 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> -(A != np__0 & k1_rlvect_1(B) != C & k1_rlvect_1(B) = k3_rlvect_1(B,C,A)))))))) # label(t24_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6941 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))))))))) # label(t73_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6942 (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 (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,C,D)),B) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t84_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6943 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,D,B)) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t85_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6944 (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)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)))))))))) # label(t86_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6945 $T # label(t88_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6946 (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)) -> k6_rlvect_1(A,k5_rlvect_1(A,B),C) = k5_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C))))))))) # label(t70_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6947 (exists A (v2_rlvect_1(A) & l2_rlvect_1(A))) # label(rc2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6948 (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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (k2_rlvect_1(A,B,D) = k2_rlvect_1(A,B,E) | k2_rlvect_1(A,D,B) = k2_rlvect_1(A,E,B) -> E = D))))))))))) # label(t21_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6949 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k6_rlvect_1(A,B,C))))))) # label(d11_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6950 (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)) -> k6_rlvect_1(A,k5_rlvect_1(A,B),C) = k6_rlvect_1(A,k5_rlvect_1(A,C),B))))))) # label(t46_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.65 6951 $T # label(t32_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6952 (all A (l2_struct_0(A) -> k1_rlvect_1(A) = u2_struct_0(A))) # label(d2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6953 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B)) <-> v5_rlvect_1(A)))) # label(d7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6954 (all A (l2_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)) -> 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,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)) -> k3_rlvect_1(A,D,k4_real_1(B,C)) = k3_rlvect_1(A,k3_rlvect_1(A,D,C),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)) -> k3_rlvect_1(A,D,k3_real_1(B,C)) = k2_rlvect_1(A,k3_rlvect_1(A,D,B),k3_rlvect_1(A,D,C)))))))) <-> v7_rlvect_1(A)))) # label(d9_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6955 (all A (v4_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)) -> 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]. 146.84/145.66 6956 $T # label(t2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6957 (all A all B all C all D (m1_subset_1(B,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all E all F all G all H (g2_rlvect_1(A,B,C,D) = g2_rlvect_1(E,F,G,H) -> A = E & D = H & C = G & B = F)))) # label(free_g2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6958 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(B,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) & v1_funct_1(D) & v1_funct_2(C,k2_zfmisc_1(A,A),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]. 146.84/145.66 6959 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)) = B)))) # label(t61_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6960 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(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) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k3_rlvect_1(B,k6_rlvect_1(B,C,D),A) = k6_rlvect_1(B,k3_rlvect_1(B,C,A),k3_rlvect_1(B,D,A)))))))))) # label(t48_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6961 (all A all B all C (-v3_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v3_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]. 146.84/145.66 6962 (all A (-v3_struct_0(A) & l1_rlvect_1(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 <-> k2_rlvect_1(A,B,C) = k1_rlvect_1(A))))))))) # label(d10_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6963 $T # label(t8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6964 $T # label(t4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6965 (all A (v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> k1_rlvect_1(A) = k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A))))) # label(t74_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6966 $T # label(t9_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6967 (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]. 146.84/145.66 6968 (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]. 146.84/145.66 6969 (exists A l2_rlvect_1(A)) # label(existence_l2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6970 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,B))) = k3_rlvect_1(A,B,k1_real_1(np__2)))))) # label(t80_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6971 (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]. 146.84/145.66 6972 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v4_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) = k3_rlvect_1(B,C,k1_real_1(A)))))))) # label(t38_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6973 (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)) -> (k1_rlvect_1(A) = k4_rlvect_1(A,B,B) -> B = k1_rlvect_1(A)))))) # label(t34_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6974 (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]. 146.84/145.66 6975 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (v5_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k3_rlvect_1(C,D,B) = k3_rlvect_1(C,D,A) -> k1_rlvect_1(C) = D | A = B))))))))) # label(t51_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6976 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_rlvect_1(A,B))))) # label(t3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6977 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6978 $T # label(t18_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6979 (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(k2_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6980 (all A (l1_struct_0(A) -> (all B (r1_rlvect_1(A,B) <-> r2_hidden(B,u1_struct_0(A)))))) # label(d1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6981 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> k3_rlvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) = k1_rlvect_1(A))))) # label(t64_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6982 (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)) -> (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]. 146.84/145.66 6983 (all A (m1_subset_1(A,k1_numbers) -> (all B (v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k1_rlvect_1(B) = C | np__0 = A -> k3_rlvect_1(B,C,A) = k1_rlvect_1(B)))))))) # label(t23_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6984 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (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,B,D)),C))))))))) # label(t83_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6985 (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]. 146.84/145.66 6986 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,C,B)) = k9_rlvect_1(A,k7_rlvect_1(A,B,C)))))))) # label(t72_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6987 (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,C,B) = k2_rlvect_1(A,B,C))))) <-> v3_rlvect_1(A)))) # label(d5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6988 (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)) -> (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]. 146.84/145.66 6989 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A))) # label(rc4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6990 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k9_rlvect_1(A,k8_rlvect_1(A,k1_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]. 146.84/145.66 6991 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6992 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k3_rlvect_1(B,D,A) = k3_rlvect_1(B,C,A) -> C = D | A = np__0))))))))) # label(t50_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6993 $T # label(t53_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6994 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> 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]. 146.84/145.66 6995 (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)) -> (exists D (B = k6_rlvect_1(A,C,D) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t36_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 6996 (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)) -> 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]. 146.84/145.66 6997 (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]. 146.84/145.66 6998 (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)) -> 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]. 146.84/145.66 6999 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(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) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r2_hidden(E,k4_finseq_1(C)) & F = k1_funct_1(D,E) -> k3_rlvect_1(B,F,A) = k1_funct_1(C,E)))))) & k3_finseq_1(C) = k3_finseq_1(D) -> k9_rlvect_1(B,C) = k3_rlvect_1(B,k9_rlvect_1(B,D),A)))))))))) # label(t56_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7000 (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,k6_rlvect_1(A,B,D),C) = k6_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))))) # label(t41_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7001 $T # label(t52_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7002 (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) & v2_rlvect_1(A) & -v3_struct_0(A) -> m1_rlsub_1(A,k2_rlsub_1(A)))) # label(t54_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7003 $T # label(t14_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7004 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,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]. 146.84/145.66 7005 (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,k5_rlvect_1(A,B),C) <-> r1_rlvect_1(C,B)))))))) # label(t67_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7006 (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_zfmisc_1(u1_struct_0(A))) -> -(v1_rlsub_1(B,A) & (all C (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> B != u1_struct_0(C))) & k1_xboole_0 != B))))) # label(t43_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7007 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (r2_hidden(B,D) <-> D = k3_rlsub_1(A,B,C)))))))))) # label(t94_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7008 (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_subset_1(D,u1_struct_0(A)) -> (all E (m1_rlsub_1(E,A) -> (r2_hidden(B,k3_rlsub_1(A,D,E)) & r2_hidden(B,k3_rlsub_1(A,C,E)) -> k3_rlsub_1(A,D,E) = k3_rlsub_1(A,C,E)))))))))))) # label(t72_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7009 (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) -> k2_rlsub_1(A) = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)))) # label(d4_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7010 $T # label(t11_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7011 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_rlsub_1(A,B,k1_rlsub_1(A)) = k1_struct_0(A,B))))) # label(t61_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7012 (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_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]. 146.84/145.66 7013 (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) -> ((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]. 146.84/145.66 7014 $T # label(t15_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7015 (all A all B all C all D (-v3_struct_0(B) & v3_rlvect_1(B) & l2_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))) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> ((exists E exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(F,D) & r2_hidden(E,C) & A = k4_rlvect_1(B,E,F) & 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]. 146.84/145.66 7016 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> k3_rlsub_1(A,B,C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C)))))))) # label(t71_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7017 (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_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(A),B))))) # label(t51_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7018 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (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]. 146.84/145.66 7019 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_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]. 146.84/145.66 7020 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (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]. 146.84/145.66 7021 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (u1_struct_0(D) = k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) -> r1_rlvect_1(D,B) | np__0 = C))))))))) # label(t66_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7022 $T # label(t13_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7023 (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_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlsub_1(B) = k1_rlsub_1(C))))))) # label(t49_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7024 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_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 & F = C -> k6_rlvect_1(A,B,C) = k6_rlvect_1(D,E,F)))))))))))))) # label(t24_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7025 (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) -> 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]. 146.84/145.66 7026 (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_rlsub_1(B,A) -> k1_rlvect_1(A) = k1_rlvect_1(B))))) # label(t19_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7027 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_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]. 146.84/145.66 7028 (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) -> m2_rlsub_1(u1_struct_0(B),A,B))))) # label(t90_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7029 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C))))))))) # label(t58_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7030 (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 (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> (B = k1_rlsub_1(A) <-> k1_struct_0(A,k1_rlvect_1(A)) = u1_struct_0(B)))))) # label(d3_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7031 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> k3_rlsub_1(A,k1_rlvect_1(A),B) = u1_struct_0(B))))) # label(t60_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7032 (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))) -> (m2_rlsub_1(B,A,k2_rlsub_1(A)) -> B = u1_struct_0(A)))))) # label(t92_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7033 (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_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]. 146.84/145.66 7034 (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) -> m2_rlsub_1(u1_struct_0(A),A,k2_rlsub_1(A)))) # label(t91_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7035 (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_rlsub_1(B,A) & v2_rlvect_1(B) -> (all C (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) -> B = C))))))) # label(t39_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7036 (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 (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) -> (E = D -> B = C))))))))))) # label(t87_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7037 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t31_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7038 (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) -> k1_rlsub_1(A) = k1_rlsub_1(B))))) # label(t48_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7039 $T # label(t12_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7040 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,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]. 146.84/145.66 7041 $T # label(t55_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7042 (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 (-v3_struct_0(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) -> (all C (v3_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (m1_rlsub_1(A,B) & m1_rlsub_1(B,C) -> m1_rlsub_1(A,C)))))))) # label(t35_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7043 (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 all C (m1_rlsub_1(C,A) -> (all D (m1_rlsub_1(D,A) -> (m1_rlsub_1(C,D) & r1_rlvect_1(C,B) -> r1_rlvect_1(D,B)))))))) # label(t16_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7044 (all A all B all C (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & m1_rlsub_1(C,A) & m1_subset_1(B,u1_struct_0(A)) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(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]. 146.84/145.66 7045 (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_rlsub_1(B,A) -> r1_rlvect_1(B,k1_rlvect_1(A)))))) # label(t25_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7046 $T # label(t47_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7047 (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_rlsub_1(B,A) -> r1_rlvect_1(A,k1_rlvect_1(B)))))) # label(t27_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 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_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = B -> k5_rlvect_1(A,B) = k5_rlvect_1(C,D)))))))))) # label(t23_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7049 (all A all B (m1_rlsub_1(B,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) -> (exists C m2_rlsub_1(C,A,B)))) # label(existence_m2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7050 (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) -> m1_rlsub_1(k2_rlsub_1(A),A) & v2_rlvect_1(k2_rlsub_1(A)))) # label(dt_k2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7051 $T # label(t45_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7052 (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,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_struct_0(A,C) != B)) & m2_rlsub_1(B,A,k1_rlsub_1(A))))))) # label(t89_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7053 (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,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]. 146.84/145.66 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) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v2_rlvect_1(D) & m1_rlsub_1(D,A) -> (all E (m1_rlsub_1(E,A) & v2_rlvect_1(E) -> (k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,E) -> D = E))))))))))) # label(t85_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7055 (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_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (all E (m2_rlsub_1(E,A,C) -> (r2_hidden(B,D) & r2_hidden(B,E) -> D = E))))))))))) # label(t98_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7056 (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) -> (exists B m1_rlsub_1(B,A)))) # label(existence_m1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 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 (m1_rlsub_1(C,A) -> m1_rlsub_1(k1_rlsub_1(B),C))))))) # label(t52_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7058 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) & v1_rlsub_1(C,A) & a_3_0_rlsub_1(A,B,C) = D -> v1_rlsub_1(D,A)))))))))) # label(t9_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7059 (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_rlsub_1(B,A) -> -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B))))) # label(dt_m1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7060 (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 (m2_rlsub_1(C,A,B) -> (r2_hidden(k1_rlvect_1(A),C) <-> C = u1_struct_0(B)))))))) # label(t93_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7061 (all A all B all C all D (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_rlsub_1(D,B) & v7_rlvect_1(B) -> (r2_hidden(A,a_3_1_rlsub_1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = k4_rlvect_1(B,C,E) & r1_rlvect_1(D,E)))))) # label(fraenkel_a_3_1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7062 (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)) -> u1_struct_0(A) = k3_rlsub_1(A,B,k2_rlsub_1(A)))))) # label(t62_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7063 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 146.84/145.66 7064 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> r2_hidden(B,k3_rlsub_1(A,B,C)))))))) # label(t59_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7065 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m1_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(A)) -> -(C = k4_rlvect_1(A,B,E) & r1_rlvect_1(D,E)))) & k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D)))))))))) # label(t82_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7066 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & m1_rlsub_1(B,A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all C (m2_rlsub_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7067 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = u1_struct_0(A) -> v1_rlsub_1(B,A)))))) # label(t8_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7068 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_rlvect_1(A,C) <-> r1_rlvect_1(B,C)))) -> B = A))))) # label(t41_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7069 (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,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(k4_rlvect_1(A,C,D),B)))))) & (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))))))))))) # label(d1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7070 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,k6_rlvect_1(A,B,C)) <-> (exists E (m2_rlsub_1(E,A,D) & r2_hidden(C,E) & r2_hidden(B,E)))))))))))) # label(t97_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7071 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (all D (m1_rlsub_1(D,A) & v2_rlvect_1(D) -> (k3_rlsub_1(A,B,C) = k3_rlsub_1(A,B,D) <-> D = C))))))))) # label(t84_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.66 7072 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(C,A) & v1_rlsub_1(B,A) -> v1_rlsub_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t10_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7073 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (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]. 146.84/145.67 7074 $T # label(t44_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7075 $T # label(t3_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7076 (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,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) <-> r2_hidden(B,k3_rlsub_1(A,C,D))))))))))) # label(t70_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7077 (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) -> (all E (m2_rlsub_1(E,A,D) -> -(r2_hidden(B,E) & (all F (m1_subset_1(F,u1_struct_0(A)) -> -(k4_rlvect_1(A,B,F) = C & r1_rlvect_1(D,F)))) & r2_hidden(C,E)))))))))))) # label(t95_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7078 (all A (v2_rlvect_1(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 (v3_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v2_rlvect_1(B) & -v3_struct_0(B) -> (m1_rlsub_1(A,B) & m1_rlsub_1(B,A) -> A = B))))) # label(t34_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7079 (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))) -> (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]. 146.84/145.67 7080 (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) -> ((exists E (r2_hidden(C,k3_rlsub_1(A,E,D)) & r2_hidden(B,k3_rlsub_1(A,E,D)) & m1_subset_1(E,u1_struct_0(A)))) <-> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t81_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7081 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_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]. 146.84/145.67 7082 (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) -> ((exists E (r1_rlvect_1(D,E) & k4_rlvect_1(A,C,E) = B & m1_subset_1(E,u1_struct_0(A)))) <-> r2_hidden(B,k3_rlsub_1(A,C,D))))))))))) # label(t79_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7083 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_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]. 146.84/145.67 7084 (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_rlsub_1(B,A) -> (all C (m2_rlsub_1(C,A,B) -> (v1_rlsub_1(C,A) <-> u1_struct_0(B) = C))))))) # label(t86_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7085 (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) -> m1_rlsub_1(A,A))) # label(t33_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7086 (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) -> v1_rlsub_1(k1_struct_0(A,k1_rlvect_1(A)),A))) # label(t7_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7087 $T # label(t46_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7088 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,C) -> (all E (m2_relset_1(E,k2_zfmisc_1(C,C),C) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & v1_funct_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(k1_numbers,C),C) & v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C) & v1_funct_1(F) -> (C = 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,B)) = F & k1_realset1(u1_rlvect_1(A),B) = E & k1_rlvect_1(A) = D -> m1_rlsub_1(g2_rlvect_1(C,D,E,F),A)))))))))))))) # label(t32_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7089 (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_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(B),A))))) # label(t50_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7090 $T # label(t53_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7091 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (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)) -> -(r1_rlvect_1(D,F) & C = k6_rlvect_1(A,B,F))))))))))))))) # label(t96_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7092 (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) -> (exists B (m1_rlsub_1(B,A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & v2_rlvect_1(B))))) # label(rc1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7093 (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)) -> (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)) -> C = np__1 | r1_rlvect_1(D,B)))))))))) # label(t74_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7094 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (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]. 146.84/145.67 7095 (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,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]. 146.84/145.67 7096 $T # label(t1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7097 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> ((exists E (r1_rlvect_1(D,E) & k6_rlvect_1(A,C,E) = B & m1_subset_1(E,u1_struct_0(A)))) <-> r2_hidden(B,k3_rlsub_1(A,C,D))))))))))) # label(t80_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7098 (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) -> (k3_rlsub_1(A,k4_rlvect_1(A,C,B),D) = k3_rlsub_1(A,C,D) <-> r1_rlvect_1(D,B)))))))))) # label(t68_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7099 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (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(A)) -> -(r1_rlvect_1(D,E) & C = k6_rlvect_1(A,B,E)))) & k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D)))))))))) # label(t83_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7100 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (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(A,B,C) = k4_rlvect_1(D,E,F)))))))))))))) # label(t21_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 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) = u1_struct_0(C) <-> r1_rlvect_1(C,B)))))))) # label(t64_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7102 (all A (v2_rlvect_1(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 (v2_rlvect_1(B) & m1_rlsub_1(B,A) -> (u1_struct_0(A) = u1_struct_0(B) -> A = B))))) # label(t40_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7103 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m2_rlsub_1(k1_struct_0(A,B),A,k1_rlsub_1(A)))))) # label(t88_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7104 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,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]. 146.84/145.67 7105 (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_rlsub_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m2_rlsub_1(C,A,B) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & k3_rlsub_1(A,D,B) = C))))))))) # label(d6_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7106 $T # label(t56_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7107 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_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]. 146.84/145.67 7108 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,C,D)) & r2_hidden(B,k3_rlsub_1(A,k5_rlvect_1(A,C),D)) -> r1_rlvect_1(D,C)))))))))) # label(t73_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7109 (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 (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (u2_rlvect_1(B) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) & u1_rlvect_1(B) = k1_realset1(u1_rlvect_1(A),u1_struct_0(B)) & u2_struct_0(A) = u2_struct_0(B) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m1_rlsub_1(B,A)))))) # label(d2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7110 (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_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]. 146.84/145.67 7111 (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 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]. 146.84/145.67 7112 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 146.84/145.67 7113 $T # label(t57_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7114 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k6_rlvect_1(A,C,D),B))))))))))) # label(t6_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7115 $T # label(t2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7116 (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_1(A) = k3_group_1(A,B) -> k2_group_1(A) = B))))) # label(t18_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7117 $T # label(t39_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7118 (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)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & C = k1_group_1(A,D,B))) & (exists D (m1_subset_1(D,u1_struct_0(A)) & k1_group_1(A,B,D) = C)))))) & (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) & v3_group_1(A)))) # label(t6_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7119 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_xreal_0(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]. 146.84/145.67 7120 (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))))))) -> (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) & (exists D (m1_subset_1(D,u1_struct_0(A)) & k1_group_1(A,C,D) = B & k1_group_1(A,D,C) = B)) & C = k1_group_1(A,C,B))))) | l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t5_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7121 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_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]. 146.84/145.67 7122 $T # label(t4_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7123 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7124 (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)) -> (A = np__0 -> k2_group_1(B) = k6_group_1(B,A,C)))))))) # label(t59_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7125 $T # label(t89_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7126 (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)) -> k6_group_1(B,k4_xcmplx_0(A),C) = k3_group_1(B,k6_group_1(B,A,C)))))))) # label(t70_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7127 (all A (l1_group_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)))))))) <-> v4_group_1(A)))) # label(d4_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7128 $T # label(t11_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7129 $T # label(t57_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7130 (all A (-v3_struct_0(A) & l1_group_1(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7131 (all A (l1_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k5_group_1(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)))) # label(dt_k5_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7132 (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,B,E),k6_group_1(C,A,D)) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E))))))))))))) # label(t53_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7133 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) & k2_group_1(A) = k1_group_1(A,C,B) <-> k3_group_1(A,B) = C))))))) # label(d6_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7134 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k6_group_1(B,A,C) = k2_group_1(B) -> r1_nat_1(k7_group_1(B,C),A)))))))) # label(t86_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7135 (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]. 146.84/145.67 7136 (all A (l1_struct_0(A) -> (v6_group_1(A) <-> v1_finset_1(u1_struct_0(A))))) # label(d14_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7137 (all A (l1_group_1(A) -> v1_funct_1(u1_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)))) # label(dt_u1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7138 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B = k2_group_1(A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = C & k1_group_1(A,C,B) = C)))))))) # label(d5_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7139 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (v3_group_1(C) & l1_group_1(C) & v4_group_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k1_group_1(C,k6_group_1(C,B,D),k6_group_1(C,A,D)) = k6_group_1(C,k2_xcmplx_0(B,A),D))))))))) # label(t65_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7140 (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) & -v1_xboole_0(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]. 146.84/145.67 7141 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> np__1 = k7_group_1(A,k2_group_1(A)))) # label(t84_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7142 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all 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)) & v1_funct_1(B) -> (B = k4_group_1(A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_1(A,C) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)))))))) # label(d7_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7143 (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)) -> (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]. 146.84/145.67 7144 (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) & -v1_xboole_0(A) -> v1_group_1(g1_group_1(A,B)) & -v3_struct_0(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7145 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (l1_group_1(C) & v4_group_1(C) & v3_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]. 146.84/145.67 7146 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k4_group_1(A)) & v1_funct_2(k4_group_1(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k4_group_1(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7147 (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) & 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,k1_nat_1(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)))))))))) # label(t48_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7148 (all A (l1_group_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,B) = k1_group_1(A,B,C))))) <-> v7_group_1(A)))) # label(d16_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7149 $T # label(t9_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7150 $T # label(t88_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7151 $T # label(t83_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7152 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k8_group_1(A) = k1_card_1(u1_struct_0(A)))) # label(d13_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7153 (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]. 146.84/145.67 7154 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,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]. 146.84/145.67 7155 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_card_1(k8_group_1(A)))) # label(dt_k8_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7156 $T # label(t93_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7157 $T # label(t78_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7158 (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)) -> k6_group_1(C,k2_nat_1(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)))))))))) # label(t50_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7159 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v7_group_1(A) -> k10_group_1(A,B,C) = k1_group_1(A,B,C))) # label(redefinition_k10_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7160 (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,C,B) = k1_group_1(A,B,C) <-> k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C))))))))) # label(t27_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7161 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,C,B) = k1_group_1(A,D,B) | k1_group_1(A,B,D) = k1_group_1(A,B,C) -> D = C))))))))) # label(t14_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7162 (all A all B (v3_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7163 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k2_group_1(A) = k6_group_1(A,C,B) -> C = np__0))) <-> v5_group_1(B,A)))))) # label(d11_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7164 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (v5_group_1(B,A) -> (C = k7_group_1(A,B) <-> C = np__0)) & (-v5_group_1(B,A) -> (C != np__0 & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_group_1(A) = k6_group_1(A,D,B) -> r1_xreal_0(C,D) | D = np__0))) & k6_group_1(A,C,B) = k2_group_1(A) <-> C = k7_group_1(A,B))))))))) # label(d12_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7165 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C all D (g1_group_1(C,D) = g1_group_1(A,B) -> C = A & D = B)))) # label(free_g1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7166 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k3_group_1(A,B) = k3_group_1(A,C) -> C = B))))))) # label(t17_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 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)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B = k1_group_1(A,B,C) | B = k1_group_1(A,C,B) -> k2_group_1(A) = C))))))) # label(t15_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7168 $T # label(t81_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7169 $T # label(t3_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7170 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C)) & k1_group_1(B,k6_group_1(B,A,C),C) = k6_group_1(B,k2_xcmplx_0(A,np__1),C))))))) # label(t66_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7171 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (v1_funct_1(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)) -> (k5_group_1(A) = B <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,k1_nat_1(D,np__1)) = k1_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,D),C)))))))))) # label(d8_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7172 (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]. 146.84/145.67 7173 $T # label(t80_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7174 $T # label(t76_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7175 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_1(A) = 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]. 146.84/145.67 7176 (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_group_1(A,k7_binop_2(np__1),B) = k3_group_1(A,B))))) # label(t62_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7177 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_finseqop(u1_group_1(A),u1_struct_0(A)))) # label(t36_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7178 (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) -> 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]. 146.84/145.67 7179 $T # label(t1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7180 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_group_1(A,np__0,B) = k2_group_1(A))))) # label(t43_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7181 (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)) -> (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]. 146.84/145.67 7182 (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)) -> k1_group_1(A,B,B) = k6_group_1(A,np__2,B))))) # label(t45_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7183 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v7_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)) -> k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)))))))))) # label(t96_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7184 (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,D,C) = k1_group_1(B,C,D) -> k1_group_1(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,A,D),C)))))))))) # label(t77_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7185 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (k1_group_1(C,E,D) = k1_group_1(C,D,E) -> k1_group_1(C,k6_group_1(C,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]. 146.84/145.67 7186 (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)) -> (k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) <-> k1_group_1(A,B,C) = k1_group_1(A,C,B)))))))) # label(t26_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7187 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,D,C) = k1_group_1(B,C,D) -> k1_group_1(B,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]. 146.84/145.67 7188 (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 = k3_group_1(A,k3_group_1(A,B)))))) # label(t19_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7189 (exists A (l1_group_1(A) & -v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v2_group_1(A) & v1_group_1(A))) # label(rc3_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7190 (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) & v4_group_1(C) & l1_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)))))))))) # label(t68_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7191 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((exists 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))))) <-> v2_group_1(A)))) # label(d2_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7192 $T # label(t41_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7193 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (l1_group_1(B) & v7_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_group_1(B,A,k10_group_1(B,C,D)) = k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)))))))))) # label(t95_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7194 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C))))))) # label(d1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7195 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> k2_group_1(B) = k6_group_1(B,A,k2_group_1(B)))))) # label(t61_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7196 (all A (v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v3_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]. 146.84/145.67 7197 (exists A (v1_group_1(A) & l1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7198 $T # label(t38_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7199 (all A (v3_group_1(A) & v4_group_1(A) & l1_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]. 146.84/145.67 7200 (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) -> m2_subset_1(k7_group_1(A,B),k1_numbers,k5_numbers))) # label(dt_k7_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7201 $T # label(t8_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7202 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B = k3_group_1(A,B) <-> k2_group_1(A) = k6_group_1(A,np__2,B)))))) # label(t47_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7203 (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) = k6_group_1(A,k7_group_1(A,B),B))))) # label(t82_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7204 (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)) -> (D = k1_group_1(A,B,C) <-> k1_group_1(A,k3_group_1(A,B),D) = C))))))))) # label(t21_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7205 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,C,D) = k1_group_1(B,D,C) -> 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]. 146.84/145.67 7206 (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]. 146.84/145.67 7207 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7208 (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_group_1(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]. 146.84/145.67 7209 (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,C,B) = k1_group_1(A,B,C) <-> k1_group_1(A,k3_group_1(A,C),B) = k1_group_1(A,B,k3_group_1(A,C))))))))) # label(t28_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7210 (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) -> k2_group_1(B) = k6_group_1(B,A,k2_group_1(B)))))) # label(t42_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7211 (exists A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7212 (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)) -> (np__1 = k7_group_1(A,B) -> k2_group_1(A) = B))))) # label(t85_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7213 $T # label(t87_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7214 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_int_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r1_xreal_0(np__0,B) -> 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)))) & (r1_xreal_0(np__0,B) -> k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))))))))) # label(d9_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7215 (all A (v4_group_1(A) & l1_group_1(A) & v3_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]. 146.84/145.67 7216 (all A (-v3_struct_0(A) & v3_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)) -> C = k1_group_1(A,B,C) & k1_group_1(A,C,B) = C)) -> B = k2_group_1(A)))))) # label(t10_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7217 (all A (l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> r3_binop_1(u1_struct_0(A),k2_group_1(A),u1_group_1(A)))) # label(t32_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7218 $T # label(t58_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7219 $T # label(t29_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7220 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v3_group_1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> C = k1_group_1(A,C,B) & (exists D (B = k1_group_1(A,C,D) & B = k1_group_1(A,D,C) & m1_subset_1(D,u1_struct_0(A)))) & k1_group_1(A,B,C) = C))))))) # label(d3_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7221 (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)) -> 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]. 146.84/145.67 7222 (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,k2_xcmplx_0(A,B),D) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)))))))))) # label(t63_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7223 (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)) -> (k2_group_1(A) = k1_group_1(A,B,C) | k1_group_1(A,C,B) = k2_group_1(A) -> B = k3_group_1(A,C) & C = k3_group_1(A,B)))))))) # label(t20_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7224 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> ((exists C (v1_finset_1(C) & C = u1_struct_0(A) & k4_card_1(C) = B)) <-> k9_group_1(A) = B)))))) # label(d15_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7225 (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_group_1(A,np__3,B) = k1_group_1(A,k1_group_1(A,B,B),B))))) # label(t46_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7226 $T # label(t30_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7227 (all A (l1_group_1(A) & v2_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]. 146.84/145.67 7228 $T # label(t13_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7229 (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)) -> k6_group_1(B,A,k3_group_1(B,C)) = k3_group_1(B,k6_group_1(B,A,C)))))))) # label(t51_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7230 (all A all B all C (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & v1_int_1(B) & -v3_struct_0(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]. 146.84/145.67 7231 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> m2_subset_1(k9_group_1(A),k1_numbers,k5_numbers))) # label(dt_k9_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7232 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> v1_setwiseo(u1_group_1(A),u1_struct_0(A)))) # label(t34_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7233 (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 = k6_group_1(A,np__1,B))))) # label(t44_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7234 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v4_group_1(C) & l1_group_1(C) & v3_group_1(C) & -v3_struct_0(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,k3_xcmplx_0(A,B),D))))))))) # label(t67_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.67 7235 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (-r1_xreal_0(np__0,A) -> k3_group_1(B,k6_group_1(B,k1_int_2(A),C)) = k6_group_1(B,A,C)))))))) # label(t56_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7236 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (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)) -> k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,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]. 146.84/145.68 7237 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k7_binop_2(A),C))))))) # label(t71_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7238 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r1_finseqop(u1_struct_0(A),k4_group_1(A),u1_group_1(A)))) # label(t35_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7239 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (B = k1_group_1(A,D,k3_group_1(A,C)) <-> k1_group_1(A,B,C) = D))))))))) # label(t22_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7240 $T # label(t91_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7241 (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,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(t52_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7242 (all A all B all C (v7_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & -v3_struct_0(A) -> k10_group_1(A,B,C) = k10_group_1(A,C,B))) # label(commutativity_k10_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7243 (exists A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & v2_group_1(A) & v1_group_1(A) & l1_group_1(A))) # label(rc4_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7244 (all A (v3_group_1(A) & v4_group_1(A) & l1_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]. 146.84/145.68 7245 (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)) -> (exists D (C = k1_group_1(A,D,B) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t24_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7246 $T # label(t2_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7247 $T # label(t40_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7248 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> r1_xreal_0(np__1,k9_group_1(A))))) # label(t90_group_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7249 (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)) -> 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]. 146.84/145.68 7250 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v7_group_1(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]. 146.84/145.68 7251 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (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,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]. 146.84/145.68 7252 (all A (l1_vectsp_1(A) -> (v2_group_1(A) & -v3_struct_0(A) -> v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A)))) # label(cc3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7253 (all A (-v3_struct_0(A) & l3_vectsp_1(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)) -> 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(d12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7254 $T # label(t16_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7255 (all A all B all C (m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> l1_vectsp_1(g1_vectsp_1(A,B,C)) & v1_vectsp_1(g1_vectsp_1(A,B,C)))) # label(dt_g1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7256 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k5_rlvect_1(A,k6_rlvect_1(A,C,D)) = k2_rlvect_1(A,D,k5_rlvect_1(A,C)) & k6_rlvect_1(A,B,k2_rlvect_1(A,D,C)) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D) & k5_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,C),D)) = k2_rlvect_1(A,D,C) & k6_rlvect_1(A,C,D) = k5_rlvect_1(A,k2_rlvect_1(A,D,k5_rlvect_1(A,C))) & k5_rlvect_1(A,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k5_rlvect_1(A,D),C))))))))) # label(t64_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7257 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_1(A) = k10_group_1(A,B,C) <-> C = k4_vectsp_1(A,B))))))))) # label(d22_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7258 $T # label(d4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7259 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v5_vectsp_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> 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]. 146.84/145.68 7260 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (exists B (l4_vectsp_1(B,A) & 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) & -v3_struct_0(B))))) # label(rc13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7261 $T # label(t83_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7262 $T # label(t71_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7263 $T # label(t24_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7264 $T # label(t31_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7265 (all A all B (l4_vectsp_1(B,A) & l1_struct_0(A) -> m2_relset_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & v1_funct_1(u2_vectsp_1(A,B)))) # label(dt_u2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7266 (all A (l1_struct_0(A) -> (exists B (l4_vectsp_1(B,A) & -v3_struct_0(B) & v11_vectsp_1(B,A))))) # label(rc12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7267 $T # label(d10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7268 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7269 (all A (l1_struct_0(A) -> (exists B (l4_vectsp_1(B,A) & v11_vectsp_1(B,A))))) # label(rc11_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7270 (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)) -> k2_rlvect_1(A,C,B) = k2_rlvect_1(A,B,C) & k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) & (exists E (k2_rlvect_1(A,B,E) = k1_rlvect_1(A) & m1_subset_1(E,u1_struct_0(A)))) & B = k2_rlvect_1(A,B,k1_rlvect_1(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)))) # label(t7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7271 $T # label(t76_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7272 $T # label(t55_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7273 (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)) -> 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]. 146.84/145.68 7274 $T # label(t2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7275 $T # label(t11_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7276 $T # label(t1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7277 $T # label(t17_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7278 $T # label(t9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7279 $T # label(t75_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7280 $T # label(t91_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7281 $T # label(d1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7282 (all A all B (v8_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v9_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_vectsp_1(A,B),u1_struct_0(A)))) # label(dt_k4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7283 (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]. 146.84/145.68 7284 $T # label(t8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7285 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (v7_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)) -> (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) & -(B != k1_rlvect_1(A) & (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_group_1(A,B,E) != k2_group_1(A))))))))))))) # label(t22_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7286 (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,k6_rlvect_1(A,B,C)) = k6_rlvect_1(A,C,B))))))) # label(t81_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7287 $T # label(t37_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7288 (all A all B all C all D all E (l1_struct_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) -> -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]. 146.84/145.68 7289 $T # label(t35_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7290 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v5_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(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]. 146.84/145.68 7291 (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]. 146.84/145.68 7292 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(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(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> E = k6_vectsp_1(A,B,k2_group_1(A),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) & k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E) = k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)) & k6_vectsp_1(A,B,C,k2_rlvect_1(B,E,F)) = k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,C,F))))))))))))))) # label(d26_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7293 (exists A (l1_vectsp_1(A) & -v3_struct_0(A) & v1_vectsp_1(A))) # label(rc3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7294 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all F all G all H all I all J (g4_vectsp_1(A,B,C,D,E) = g4_vectsp_1(F,G,H,I,J) -> C = H & J = E & D = I & B = G & F = A)))) # label(free_g4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7295 $T # label(t10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7296 $T # label(t27_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7297 (all A (-v3_struct_0(A) & l2_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> -(B != k1_rlvect_1(A) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) != k2_group_1(A)))))) <-> v9_vectsp_1(A)))) # label(d20_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7298 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_vectsp_1(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)) -> 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]. 146.84/145.68 7299 $T # label(t15_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7300 $T # label(t53_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7301 $T # label(d7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7302 $T # label(t56_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7303 (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) & 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(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,k5_rlvect_1(A,C),D) = k5_rlvect_1(B,k6_vectsp_1(A,B,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]. 146.84/145.68 7304 $T # label(t82_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7305 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_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) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> 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]. 146.84/145.68 7306 (all A (l1_struct_0(A) & -v3_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)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u2_vectsp_1(A,B),C,D) = k6_vectsp_1(A,B,C,D))))))))) # label(d24_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7307 $T # label(t18_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7308 (all A (l3_vectsp_1(A) -> (-v3_struct_0(A) & v5_vectsp_1(A) & v4_vectsp_1(A) -> v7_vectsp_1(A) & -v3_struct_0(A)))) # label(cc2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7309 $T # label(d5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7310 (all A (l2_vectsp_1(A) -> l1_vectsp_1(A) & l2_struct_0(A))) # label(dt_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7311 $T # label(t29_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7312 (all A (l3_vectsp_1(A) -> l2_vectsp_1(A) & l1_rlvect_1(A))) # label(dt_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7313 (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]. 146.84/145.68 7314 (all 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) & 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) -> B = k4_vectsp_1(A,k4_vectsp_1(A,B))))))) # label(t73_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7315 $T # label(t32_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7316 (all A all B all C (v1_funct_1(B) & 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) -> (all D all E all F (g1_vectsp_1(D,E,F) = g1_vectsp_1(A,B,C) -> A = D & E = B & C = F)))) # label(free_g1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7317 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v7_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)) -> (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]. 146.84/145.68 7318 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v5_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> 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]. 146.84/145.68 7319 (exists A (l2_vectsp_1(A) & -v3_struct_0(A) & v2_vectsp_1(A))) # label(rc5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7320 $T # label(t48_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7321 (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)) -> (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) -> B = C) & (C = B -> k6_rlvect_1(A,B,C) = k1_rlvect_1(A)) & (C = B -> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A)))))))) # label(t66_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7322 (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) & v6_vectsp_1(A) & v5_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]. 146.84/145.68 7323 (all A (v4_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k6_rlvect_1(A,C,D)))))))))) # label(t43_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7324 (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]. 146.84/145.68 7325 $T # label(t19_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7326 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_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_group_1(A,B,C) = k1_group_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C)))))))) # label(t42_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7327 (all A (l1_vectsp_1(A) -> (v7_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v6_vectsp_1(A)))) # label(cc5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7328 (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]. 146.84/145.68 7329 (all A all B all C (-v3_struct_0(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l3_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(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]. 146.84/145.68 7330 (exists A (-v3_struct_0(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v2_group_1(A) & l1_vectsp_1(A))) # label(rc9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7331 $T # label(t26_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7332 $T # label(t54_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7333 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(E) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_subset_1(D,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) -> 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]. 146.84/145.68 7334 (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,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]. 146.84/145.68 7335 $T # label(t38_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7336 (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]. 146.84/145.68 7337 (all A all B (l4_vectsp_1(B,A) & l1_struct_0(A) -> (v11_vectsp_1(B,A) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = B))) # label(abstractness_v11_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7338 (all A (-v3_struct_0(A) & l1_rlvect_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)) & v1_funct_1(k7_vectsp_1(A)))) # label(dt_k7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7339 $T # label(t77_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7340 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,k2_group_1(A)) = B)) <-> v6_vectsp_1(A)))) # label(d13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7341 $T # label(d17_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7342 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> -v3_struct_0(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & v4_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & 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))) & v3_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))))) # label(t94_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7343 (all A (-v3_struct_0(A) & v5_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) & v8_vectsp_1(A) & v7_group_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) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_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,k4_vectsp_1(A,B),k6_vectsp_1(A,C,B,D)) = D))))))))) # label(t67_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7344 (all A (l1_vectsp_1(A) -> u1_vectsp_1(A) = k2_vectsp_1(A))) # label(d9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7345 (exists A (v1_vectsp_1(A) & l1_vectsp_1(A))) # label(rc2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7346 $T # label(t47_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7347 $T # label(d3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7348 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all 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)) & 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))) <-> B = k7_vectsp_1(A)))))) # label(d25_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7349 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (v8_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,k2_group_1(A),B)))))) # label(d19_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7350 (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)) -> 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]. 146.84/145.68 7351 $T # label(t14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7352 (all A (-v3_struct_0(A) & v4_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) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (k2_rlvect_1(A,k2_group_1(A),k2_group_1(A)) != k1_rlvect_1(A) <-> v13_vectsp_1(A)))) # label(d29_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7353 (all A (-v3_struct_0(A) & v3_rlvect_1(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) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(A) = B | k1_rlvect_1(C) = D <-> k1_rlvect_1(C) = k6_vectsp_1(A,C,B,D)))))))))) # label(t60_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7354 (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)) -> (k5_rlvect_1(A,B) = k1_rlvect_1(A) -> B = k1_rlvect_1(A)))))) # label(t86_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7355 $T # label(t85_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7356 (all A (v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v7_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)) -> 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]. 146.84/145.68 7357 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7358 (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)) & 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))))))) <-> v7_vectsp_1(A)))) # label(d18_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7359 $T # label(t30_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7360 (all A (l3_vectsp_1(A) -> (v3_vectsp_1(A) -> A = g3_vectsp_1(u1_struct_0(A),u1_rlvect_1(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A))))) # label(abstractness_v3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7361 (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,B) = k4_rlvect_1(k3_vectsp_1,B,A) & k4_rlvect_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) = k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,A,B),C) & k4_rlvect_1(k3_vectsp_1,A,k1_rlvect_1(k3_vectsp_1)) = A & k1_rlvect_1(k3_vectsp_1) = k4_rlvect_1(k3_vectsp_1,A,k5_rlvect_1(k3_vectsp_1,A)) & -(A != k1_rlvect_1(k3_vectsp_1) & (all D (m1_subset_1(D,u1_struct_0(k3_vectsp_1)) -> k10_group_1(k3_vectsp_1,A,D) != k2_group_1(k3_vectsp_1)))) & k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,B,C),A) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,B,A),k10_group_1(k3_vectsp_1,C,A)) & k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),k10_group_1(k3_vectsp_1,A,C)) = k10_group_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) & k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),A) = A & k10_group_1(k3_vectsp_1,A,k10_group_1(k3_vectsp_1,B,C)) = k10_group_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),C) & k10_group_1(k3_vectsp_1,B,A) = k10_group_1(k3_vectsp_1,A,B))))))) # label(t21_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7362 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> -v3_struct_0(A) & v2_group_1(A)))) # label(cc4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7363 (exists A (l3_vectsp_1(A) & v3_vectsp_1(A))) # label(rc6_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7364 (exists A (l2_vectsp_1(A) & v2_vectsp_1(A))) # label(rc4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7365 (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) & k1_rlvect_1(k1_vectsp_1) = k4_rlvect_1(k1_vectsp_1,A,k5_rlvect_1(k1_vectsp_1,A)) & A = k4_rlvect_1(k1_vectsp_1,A,k1_rlvect_1(k1_vectsp_1)) & 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]. 146.84/145.68 7366 (all A (-v3_struct_0(A) & l1_rlvect_1(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) -> k1_rlvect_1(A) = B)))))) # label(d28_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7367 $T # label(t51_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7368 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v13_vectsp_1(A))) # label(rc14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7369 $T # label(t62_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7370 $T # label(t58_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7371 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_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_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k6_rlvect_1(A,C,k10_group_1(A,D,B)) = k1_rlvect_1(A) -> B = k1_rlvect_1(A) | k10_group_1(A,C,k4_vectsp_1(A,B)) = D) & (k6_rlvect_1(A,k10_group_1(A,B,D),C) = k1_rlvect_1(A) -> B = k1_rlvect_1(A) | k10_group_1(A,C,k4_vectsp_1(A,B)) = D))))))))) # label(t88_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7372 $T # label(t13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7373 $T # label(d8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7374 $T # label(t28_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7375 (exists A (l1_group_1(A) & -v3_struct_0(A) & v4_group_1(A) & v7_group_1(A))) # label(rc8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7376 $T # label(t4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7377 (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)) -> (k6_rlvect_1(A,B,C) = k1_rlvect_1(A) -> k1_rlvect_1(A) = k6_rlvect_1(A,C,B)))))))) # label(t87_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7378 $T # label(t49_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7379 (all A (-v3_struct_0(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) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all 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) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k1_rlvect_1(C) = k6_vectsp_1(A,C,k1_rlvect_1(A),D) & k6_vectsp_1(A,C,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(C,D) & k1_rlvect_1(C) = k6_vectsp_1(A,C,B,k1_rlvect_1(C)))))))))) # label(t59_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7380 $T # label(t50_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7381 $T # label(t3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7382 (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) = 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]. 146.84/145.68 7383 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7384 $T # label(d27_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7385 (all A all B all C all D (-v3_struct_0(A) & l1_struct_0(A) & l4_vectsp_1(B,A) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(B) -> 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]. 146.84/145.68 7386 $T # label(t25_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7387 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7388 (all A (l2_vectsp_1(A) -> (v2_vectsp_1(A) -> A = g2_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A))))) # label(abstractness_v2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7389 (all A all B all C all D (m1_subset_1(C,A) & m1_subset_1(D,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) -> 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]. 146.84/145.68 7390 $T # label(d14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7391 $T # label(t57_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7392 $T # label(d2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7393 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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,C),D) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C))))))))) # label(t93_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7394 $T # label(t12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7395 $T # label(t46_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7396 (all A (l2_vectsp_1(A) & -v3_struct_0(A) -> (k1_rlvect_1(A) = k2_group_1(A) <-> v10_vectsp_1(A)))) # label(d21_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7397 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v1_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A))) # label(rc1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7398 (all A (l1_struct_0(A) -> (exists B l4_vectsp_1(B,A)))) # label(existence_l4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7399 $T # label(d16_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7400 $T # label(t79_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7401 $T # label(t52_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7402 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v4_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_rlvect_1(A) = k1_group_1(A,B,k1_rlvect_1(A)))))) # label(t36_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7403 (all A all B all C all D all E (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_relset_1(C,k2_zfmisc_1(A,A),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) -> (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) -> G = B & I = D & E = J & C = H & A = F)))) # label(free_g3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7404 (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)) -> (k5_rlvect_1(A,B) = C <-> k1_rlvect_1(A) = k2_rlvect_1(A,B,C)))))))) # label(t63_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7405 (all A all B all C all D (m1_subset_1(C,A) & m1_subset_1(D,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) -> (all E all F all G all H (g2_vectsp_1(E,F,G,H) = g2_vectsp_1(A,B,C,D) -> F = B & C = G & D = H & E = A)))) # label(free_g2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7406 (exists A (l3_vectsp_1(A) & v2_group_1(A) & v4_group_1(A) & v7_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7407 (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)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> B = C))))))) # label(t84_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7408 $T # label(t34_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7409 (all 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) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) -> (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_1(A,B,C,D),k6_vectsp_1(A,B,C,E)) = k6_vectsp_1(A,B,C,k6_rlvect_1(B,D,E)))))))))))) # label(t70_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7410 $T # label(t5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7411 $T # label(t23_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.68 7412 (exists A (v3_vectsp_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7413 (all A (v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v7_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)) -> (k10_group_1(A,B,D) = k10_group_1(A,B,C) -> D = C | B = k1_rlvect_1(A)))))))))) # label(t33_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7414 $T # label(t80_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7415 $T # label(t72_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7416 $T # label(t61_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7417 (all A (l3_vectsp_1(A) -> (-v3_struct_0(A) & v7_vectsp_1(A) -> v4_vectsp_1(A) & v5_vectsp_1(A) & -v3_struct_0(A)))) # label(cc1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7418 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v5_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & v13_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A))) # label(rc15_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7419 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (l1_pre_topc(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(D) -> (v6_compts_1(B,A) & k2_pre_topc(C) = k2_relat_1(D) & v5_pre_topc(D,A,C) -> v6_compts_1(k4_pre_topc(A,C,D,B),C)))))))))) # label(t24_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7420 (all A ((all B -(v1_finset_1(B) & k1_setfam_1(B) = k1_xboole_0 & r1_tarski(B,A) & B != k1_xboole_0)) & k1_xboole_0 != A <-> v1_compts_1(A))) # label(d2_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7421 (all A (l1_pre_topc(A) -> v6_compts_1(k1_pre_topc(A),A))) # label(t9_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7422 $T # label(t2_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7423 (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_compts_1(B,A) & v6_compts_1(C,A) & v3_compts_1(A) -> v6_compts_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t20_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7424 (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]. 146.84/145.69 7425 (all A (-v3_struct_0(A) & v2_pre_topc(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)))) -> -(k6_setfam_1(u1_struct_0(A),B) = k1_xboole_0 & v2_tops_2(B,A) & v1_compts_1(B))))))) # label(t13_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7426 (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]. 146.84/145.69 7427 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v2_compts_1(A) & v3_compts_1(A) -> v4_compts_1(A)))) # label(t21_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7428 $T # label(t3_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7429 (all A (l1_pre_topc(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_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) & r2_hidden(C,E) & r1_xboole_0(D,E))))))))))) <-> v3_compts_1(A)))) # label(d4_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7430 $T # label(t4_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7431 (all A (l1_pre_topc(A) -> (v2_compts_1(A) <-> v6_compts_1(k2_pre_topc(A),A)))) # label(t10_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7432 (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) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v3_compts_1(B) & k2_pre_topc(A) = k1_relat_1(C) & v2_funct_1(C) & v5_pre_topc(C,A,B) & k2_pre_topc(B) = k2_relat_1(C) & v2_compts_1(A) -> v3_tops_2(C,A,B)))))))) # label(t26_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7433 (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) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(C,B) & k1_xboole_0 = k6_setfam_1(u1_struct_0(A),C) & v1_finset_1(C) & C != k1_xboole_0))) & k1_xboole_0 = k6_setfam_1(u1_struct_0(A),B) & B != k1_xboole_0)))))) # label(t14_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7434 $T # label(t5_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7435 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,k2_pre_topc(B)) -> (v6_compts_1(C,A) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> v6_compts_1(D,B)))))))))))) # label(t11_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7436 $T # label(t1_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7437 (all A (l1_pre_topc(A) -> (v4_compts_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(C,A) & r2_hidden(B,k3_subset_1(u1_struct_0(A),C)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & v3_pre_topc(E,A) & r2_hidden(B,D) & r1_xboole_0(D,E) & r1_tarski(C,E)))))) & C != k1_xboole_0)))))))) # label(d5_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7438 (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]. 146.84/145.69 7439 $T # label(t8_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7440 (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) & v4_pre_topc(C,A) & v6_compts_1(B,A) -> v6_compts_1(C,A)))))))) # label(t18_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7441 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v3_compts_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) -> B = k1_xboole_0 | (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,k3_subset_1(u1_struct_0(A),B)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r2_hidden(C,D) & r1_tarski(B,E) & r1_xboole_0(D,E) & v3_pre_topc(D,A))))))))))))))) # label(t15_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7442 (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) & v1_tops_2(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(C,B) & r1_pre_topc(A,C) & v1_finset_1(C)))))))))) # label(d3_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7443 (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_tarski(C,k5_setfam_1(u1_struct_0(A),B)) <-> r1_compts_1(A,B,C)))))))) # label(d1_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7444 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_compts_1(A) & v6_compts_1(B,A) -> v4_pre_topc(B,A)))))) # label(t16_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7445 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_pre_topc(A) -> (v2_compts_1(k3_pre_topc(A,B)) <-> v6_compts_1(B,A)) | k1_xboole_0 = B) & (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]. 146.84/145.69 7446 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v3_compts_1(B) & v5_pre_topc(C,A,B) & k2_pre_topc(B) = k2_relat_1(C) & v2_compts_1(A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(D,A) -> v4_pre_topc(k4_pre_topc(A,B,C,D),B))))))))))) # label(t25_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7447 (all A (l1_pre_topc(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 & C != k1_xboole_0 & 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))) -> -(r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & r1_xboole_0(B,C) & v4_pre_topc(B,A))))))))) # label(d6_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7448 $T # label(t6_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7449 $T # label(t7_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7450 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) & v2_compts_1(A) -> v5_compts_1(A)))) # label(t22_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7451 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_compts_1(A,C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(D,C) & v1_finset_1(D) & r1_compts_1(A,D,B)))) & v1_tops_2(C,A))))))))) # label(d7_compts_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7452 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_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) -> (k3_tarski(k4_orders_2(A,C)) = B -> m1_orders_2(D,A,B) | k3_tarski(k4_orders_2(A,C)) = D))))))))) # label(t88_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7453 (all A (v2_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v5_orders_2(k2_struct_0(A,B,C),A) & m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) <-> r3_orders_2(A,C,B) | r3_orders_2(A,B,C)))))))) # label(t36_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7454 $T # label(t74_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7455 $T # label(d1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7456 (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)) -> -r2_orders_2(A,B,B))) # label(irreflexivity_r2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7457 $T # label(t19_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7458 $T # label(t98_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7459 $T # label(t118_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7460 $T # label(t75_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7461 $T # label(t105_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7462 $T # label(t111_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7463 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r7_relat_2(u1_orders_2(A),B) <-> v5_orders_2(B,A)))))) # label(d11_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7464 $T # label(t106_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7465 $T # label(t101_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7466 $T # label(t122_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7467 $T # label(t131_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7468 $T # label(t104_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7469 $T # label(t141_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7470 $T # label(t147_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7471 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(-(B = k1_xboole_0 & C = k1_xboole_0) & m1_orders_2(B,A,C) & m1_orders_2(C,A,B)))))))) # label(t69_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7472 (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))) -> -(k1_xboole_0 != B & m1_orders_2(B,A,B)) & -(-m1_orders_2(B,A,B) & B = k1_xboole_0))))) # label(t68_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7473 (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,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]. 146.84/145.69 7474 (all A all B (m1_subset_1(B,k1_zfmisc_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) -> (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]. 146.84/145.69 7475 $T # label(t144_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7476 $T # label(t23_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7477 (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)) -> -r2_hidden(B,k2_orders_2(A,k1_struct_0(A,B))))))) # label(t50_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7478 (all A (l1_orders_2(A) -> v1_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_orders_2(k1_pre_topc(A),A) & v5_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v1_xboole_0(k1_pre_topc(A)))) # label(fc4_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7479 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_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]. 146.84/145.69 7480 $T # label(t20_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7481 (exists A (l1_orders_2(A) & v2_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v1_orders_2(A) & -v3_struct_0(A))) # label(rc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7482 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(k1_struct_0(A,B),A))))) # label(t35_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7483 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_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))) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,D,C)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r2_orders_2(A,B,C) & m1_subset_1(C,u1_struct_0(A))))))))) # label(t162_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7484 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_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]. 146.84/145.69 7485 (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_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]. 146.84/145.69 7486 (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]. 146.84/145.69 7487 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r3_orders_1(u1_orders_2(A),B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t135_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7488 $T # label(t54_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7489 $T # label(t130_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7490 (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)) -> (r1_orders_2(A,B,C) & r1_orders_2(A,C,B) -> C = B))))))) # label(t25_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7491 $T # label(t22_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7492 $T # label(t113_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7493 $T # label(t149_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7494 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -r2_hidden(B,k1_orders_2(A,k1_struct_0(A,B))))))) # label(t48_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7495 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & v4_orders_2(A) & v3_orders_2(A) -> (exists C m2_orders_2(C,A,B)))) # label(existence_m2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7496 $T # label(t155_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7497 $T # label(t91_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7498 (all A all B (m1_relset_1(B,A,A) & -v1_xboole_0(A) -> -v3_struct_0(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)))) # label(fc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7499 (all A all B (m1_relset_1(B,A,A) -> (all C all D (g1_orders_2(C,D) = g1_orders_2(A,B) -> B = D & A = C)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7500 $T # label(t34_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7501 (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))) -> k1_orders_2(A,B) = a_2_0_orders_2(A,B))))) # label(d12_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7502 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> u1_struct_0(A) = k2_orders_2(A,k1_pre_topc(A)))) # label(t45_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7503 $T # label(t140_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7504 $T # label(t41_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7505 (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)) -> (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]. 146.84/145.69 7506 $T # label(t8_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7507 (all A all B (m1_relset_1(B,A,A) -> v1_orders_2(g1_orders_2(A,B)) & l1_orders_2(g1_orders_2(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7508 (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,B,C) & r2_orders_2(A,C,B)))))))) # label(t28_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7509 (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,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]. 146.84/145.69 7510 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_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]. 146.84/145.69 7511 $T # label(t150_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7512 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (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]. 146.84/145.69 7513 (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))) & v5_orders_2(B,A) -> v3_orders_1(k2_wellord1(u1_orders_2(A),B)))))) # label(t109_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7514 $T # label(t120_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7515 (all A (l1_orders_2(A) -> (v1_orders_2(A) -> A = g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7516 $T # label(t16_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7517 (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_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]. 146.84/145.69 7518 $T # label(t129_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7519 $T # label(t93_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7520 (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]. 146.84/145.69 7521 $T # label(t138_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7522 (all A all B (v4_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all C (m2_orders_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A))))) # label(dt_m2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7523 (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_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]. 146.84/145.69 7524 $T # label(t4_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7525 $T # label(t115_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7526 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (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]. 146.84/145.69 7527 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (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]. 146.84/145.69 7528 $T # label(t132_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7529 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_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]. 146.84/145.69 7530 $T # label(t114_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7531 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> k1_orders_2(A,k1_pre_topc(A)) = u1_struct_0(A))) # label(t43_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7532 $T # label(t21_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7533 $T # label(t154_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7534 (all A (l1_orders_2(A) & v4_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_subset_1(D,u1_struct_0(A)) -> (r2_orders_2(A,C,D) & r1_orders_2(A,B,C) | r2_orders_2(A,B,C) & r1_orders_2(A,C,D) -> r2_orders_2(A,B,D)))))))))) # label(t32_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7535 (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]. 146.84/145.69 7536 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_orders_2(A,k1_struct_0(A,B))) <-> r2_orders_2(A,B,C)))))))) # label(t51_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7537 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,B,C) & B != C <-> r2_orders_2(A,B,C)))))))) # label(d10_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7538 $T # label(t102_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7539 (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))) -> (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]. 146.84/145.69 7540 (exists A (v1_orders_2(A) & l1_orders_2(A))) # label(rc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7541 (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,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 != B -> (m1_orders_2(C,A,B) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & r2_hidden(D,B) & k3_orders_2(A,B,D) = C)))) & (k1_xboole_0 = B -> (m1_orders_2(C,A,B) <-> k1_xboole_0 = C)))))))) # label(d15_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7542 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,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_hidden(D,C) & 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(t73_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7543 (all A all B (-v3_struct_0(A) & v4_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (exists C m1_orders_2(C,A,B)))) # label(existence_m1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7544 (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_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]. 146.84/145.69 7545 (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_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(D,A,C) <-> m1_orders_2(C,A,D))))))))))) # label(t83_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7546 $T # label(t121_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7547 $T # label(t92_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7548 (all A all B (v2_orders_2(A) & v4_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & l1_orders_2(A) & v3_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]. 146.84/145.69 7549 $T # label(t90_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7550 $T # label(t95_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7551 (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) & r1_orders_2(A,B,C)))))))) # label(t30_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7552 $T # label(t151_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7553 $T # label(t139_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7554 (all A all B all C (-v3_struct_0(B) & v2_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_orders_2(B) -> (r2_hidden(A,a_2_1_orders_2(B,C)) <-> (exists D ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,D,E)))) & D = A & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7555 $T # label(t119_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7556 (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_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A) -> (k1_xboole_0 != C & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> D = k1_funct_1(B,k1_orders_2(A,k3_orders_2(A,C,D)))))) & r2_wellord1(u1_orders_2(A),C) <-> m2_orders_2(C,A,B)))))))) # label(d16_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7557 (all A (l1_orders_2(A) -> (r1_relat_2(u1_orders_2(A),u1_struct_0(A)) <-> v2_orders_2(A)))) # label(d4_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7558 (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)) & v3_orders_2(g1_orders_2(A,B)) & v4_orders_2(g1_orders_2(A,B)) & v2_orders_2(g1_orders_2(A,B)))) # label(fc3_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7559 $T # label(t33_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7560 $T # label(t148_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7561 $T # label(t146_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7562 $T # label(t15_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7563 $T # label(dt_k4_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7564 (all A all B all C (-v3_struct_0(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v2_orders_2(A) -> (r1_orders_2(A,B,C) <-> r3_orders_2(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7565 $T # label(t86_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7566 $T # label(t58_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7567 $T # label(t100_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7568 $T # label(t12_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7569 $T # label(t14_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7570 (all A all B (l1_orders_2(B) & v4_orders_2(B) & v3_orders_2(B) & v2_orders_2(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,k2_orders_2(B,k1_struct_0(B,C))) & r2_hidden(A,D) <-> r2_hidden(A,k3_orders_2(B,D,C))))))))) # label(t56_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7571 $T # label(t153_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7572 $T # label(t17_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7573 $T # label(t134_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7574 $T # label(t127_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7575 (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,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]. 146.84/145.69 7576 (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,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k2_orders_2(A,C)) & r2_hidden(B,C)))))))) # label(t49_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7577 $T # label(t152_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7578 (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)) -> ((r2_orders_2(A,B,C) <-> -r1_orders_2(A,C,B)) <-> (exists D (r2_hidden(C,D) & r2_hidden(B,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(D,A)))))))))) # label(t39_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7579 (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,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]. 146.84/145.69 7580 (all A (l1_orders_2(A) -> l1_struct_0(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7581 $T # label(t94_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7582 $T # label(t63_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7583 (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) -> (r2_xboole_0(C,D) <-> m1_orders_2(C,A,D)))))))))) # label(t84_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7584 $T # label(t13_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7585 (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_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]. 146.84/145.69 7586 $T # label(t9_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7587 $T # label(d2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7588 $T # label(t125_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7589 $T # label(t53_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7590 $T # label(d8_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7591 $T # label(t5_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7592 (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_orders_1(B,k1_orders_1(u1_struct_0(A))) -> k1_xboole_0 != k3_tarski(k4_orders_2(A,B)))))) # label(t87_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7593 $T # label(t42_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7594 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k1_orders_2(A,C)) & r2_hidden(B,C)))))))) # label(t47_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7595 (all A all B all C (-v3_struct_0(A) & v2_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> r3_orders_2(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7596 $T # label(t116_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7597 $T # label(t11_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7598 $T # label(t96_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7599 (all 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_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]. 146.84/145.69 7600 $T # label(t112_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7601 $T # label(t2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7602 (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))) -> 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]. 146.84/145.69 7603 $T # label(t117_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7604 $T # label(d7_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7605 (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)) -> (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]. 146.84/145.69 7606 $T # label(t6_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7607 (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]. 146.84/145.69 7608 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_orders_2(A) & v4_orders_2(A) -> m1_subset_1(k2_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7609 (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,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]. 146.84/145.69 7610 $T # label(t76_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7611 $T # label(d3_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7612 $T # label(t85_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7613 $T # label(t99_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7614 $T # label(t110_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7615 (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]. 146.84/145.69 7616 (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,k1_zfmisc_1(u1_struct_0(A))) -> B = k3_relat_1(k2_wellord1(u1_orders_2(A),B)))))) # label(t107_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.69 7617 (exists A l1_orders_2(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7618 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r9_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C != B -> r2_orders_2(A,B,C))))))))) # label(t161_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7619 $T # label(t103_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7620 $T # label(t137_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7621 (all A all B all C (l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_orders_2(B) & v3_orders_2(B) & v2_orders_2(B) & -v3_struct_0(B) -> ((exists D ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,E,D)))) & D = A & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_0_orders_2(B,C))))) # label(fraenkel_a_2_0_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7622 $T # label(t126_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7623 (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 (v5_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(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]. 146.84/145.70 7624 $T # label(t55_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7625 $T # label(t145_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7626 $T # label(t124_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7627 (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)) -> (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]. 146.84/145.70 7628 $T # label(t27_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7629 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_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]. 146.84/145.70 7630 $T # label(t1_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7631 (all A (l1_orders_2(A) -> (v3_orders_2(A) <-> r8_relat_2(u1_orders_2(A),u1_struct_0(A))))) # label(d5_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7632 (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]. 146.84/145.70 7633 (all A all B all C (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_orders_2(A) & v2_orders_2(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]. 146.84/145.70 7634 (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) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t40_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7635 (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]. 146.84/145.70 7636 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_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]. 146.84/145.70 7637 (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,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,E) & m1_orders_2(E,A,D) & r2_hidden(B,D) & r2_orders_2(A,B,C) -> r2_hidden(B,E)))))))))))) # label(t70_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7638 $T # label(t3_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7639 (all A (l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(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]. 146.84/145.70 7640 $T # label(t97_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7641 $T # label(t59_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7642 $T # label(t133_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7643 $T # label(t128_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7644 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (C = k4_orders_2(A,B) <-> (all D (r2_hidden(D,C) <-> m2_orders_2(D,A,B))))))))) # label(d17_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7645 $T # label(t157_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7646 $T # label(t10_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7647 $T # label(t143_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7648 $T # label(t77_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7649 $T # label(t18_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7650 $T # label(t142_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7651 $T # label(t123_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7652 $T # label(t156_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7653 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_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]. 146.84/145.70 7654 $T # label(t66_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7655 $T # label(t31_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7656 (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)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k3_orders_2(A,D,C)) <-> r2_orders_2(A,B,C) & r2_hidden(B,D)))))))))) # label(t57_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7657 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_wellord1(u1_orders_2(A),C) & B != C & -m1_orders_2(B,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_orders_2(A,D,E) -> r2_hidden(D,B)))))) & r1_tarski(B,C)))))))) # label(t72_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7658 $T # label(t7_orders_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7659 (all A (-v1_xboole_0(A) -> k9_funcsdom(A) = k2_funcop_1(A,np__0))) # label(d5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7660 (all A all B (-v1_xboole_0(B) -> (exists C (m2_fraenkel(C,B,k1_numbers,k1_fraenkel(B,k1_numbers)) & (exists D ((all E (r2_hidden(E,B) -> (E = A -> np__1 = k1_funct_1(C,E)) & (E != A -> np__0 = k1_funct_1(C,E)))) & (all E (r2_hidden(E,B) -> (E != A -> k1_funct_1(D,E) = np__1) & (E = A -> np__0 = k1_funct_1(D,E)))) & m2_fraenkel(D,B,k1_numbers,k1_fraenkel(B,k1_numbers)))))))) # label(t28_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7661 (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]. 146.84/145.70 7662 (all A all B all C all D all E all F (v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_fraenkel(k2_funcsdom(A,B,C,D,E,F),A,B,k1_fraenkel(A,B)))) # label(dt_k2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7663 $T # label(d16_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7664 $T # label(t36_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7665 (all A (-v1_xboole_0(A) -> k2_group_1(k13_funcsdom(A)) = k10_funcsdom(A))) # label(t44_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7666 (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]. 146.84/145.70 7667 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> m2_fraenkel(k3_funcsdom(A,B,C),A,B,k1_fraenkel(A,B)))) # label(dt_k3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 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)) -> (exists F ((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))))))) & m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)))))))) & A != B & k2_tarski(A,B) = C))) # label(t32_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7669 (all A (-v1_xboole_0(A) -> v2_group_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(fc2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7670 $T # label(t8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7671 (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]. 146.84/145.70 7672 (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]. 146.84/145.70 7673 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_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) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & 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]. 146.84/145.70 7674 (all A (-v1_xboole_0(A) -> m2_relset_1(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(k7_funcsdom(A)))) # label(dt_k7_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7675 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_group_1(k12_funcsdom(A)))) # label(t41_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7676 (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(B,C) & (all F (r2_hidden(F,C) -> (A = F -> np__0 = k1_funct_1(E,F)) & (F != A -> k1_funct_1(E,F) = np__1))) & (all F (r2_hidden(F,C) -> (F = A -> k1_funct_1(D,F) = np__1) & (A != F -> np__0 = k1_funct_1(D,F)))) & r2_hidden(A,C) -> (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) = k9_funcsdom(C) -> np__0 = G & np__0 = F))))) | A = B))))))) # label(t29_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7677 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_funcop_1(A,np__1))) # label(d6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7678 $T # label(d13_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7679 (all A all B all C all D all E all F (v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> l1_funcsdom(g1_funcsdom(A,B,C,D,E,F)) & v1_funcsdom(g1_funcsdom(A,B,C,D,E,F)))) # label(dt_g1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7680 (all A (-v1_xboole_0(A) -> -v3_struct_0(k12_funcsdom(A)) & v3_rlvect_1(k12_funcsdom(A)) & v5_rlvect_1(k12_funcsdom(A)) & v4_group_1(k12_funcsdom(A)) & v7_vectsp_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & l3_vectsp_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & v7_group_1(k12_funcsdom(A)) & v6_rlvect_1(k12_funcsdom(A)) & v4_rlvect_1(k12_funcsdom(A)))) # label(t43_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7681 $T # label(t1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7682 (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]. 146.84/145.70 7683 (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]. 146.84/145.70 7684 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k1_numbers) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all E (m1_subset_1(E,A) -> 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)))))))) <-> B = k8_funcsdom(A)))))) # label(d4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7685 (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]. 146.84/145.70 7686 $T # label(t46_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7687 (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 -> np__1 = k1_funct_1(D,F)) & (F != A -> k1_funct_1(D,F) = np__0))) & (all F (r2_hidden(F,C) -> (F = A -> k1_funct_1(E,F) = np__0) & (F != A -> np__1 = k1_funct_1(E,F)))) & k2_tarski(A,B) = C -> A = B | (all F (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G (m1_subset_1(G,k1_numbers) & (exists H (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))) = F & m1_subset_1(H,k1_numbers)))))))))))))) # label(t31_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7688 $T # label(d11_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7689 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k7_funcsdom(A),C,D)) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C),D))))))))) # label(t19_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7690 (all A all B all C all D all E (m1_subset_1(D,A) & v1_funct_1(E) & m1_relset_1(E,B,A) & v1_funct_2(E,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_xboole_0(A) -> k5_funcop_1(C,D,E) = k5_funcsdom(A,B,C,D,E))) # label(redefinition_k5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7691 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k8_funct_2(A,k1_numbers,k9_funcsdom(A),B) = np__0)))) # label(t13_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7692 (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) -> C = k3_funcsdom(A,B,C))))))) # label(d1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7693 $T # label(t7_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7694 (exists A (l1_funcsdom(A) & -v3_struct_0(A))) # label(rc3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7695 (all A (-v1_xboole_0(A) -> v6_vectsp_1(k13_funcsdom(A)) & v8_vectsp_1(k13_funcsdom(A)) & v1_funcsdom(k13_funcsdom(A)) & v2_group_1(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(fc4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7696 (all A (-v1_xboole_0(A) -> v3_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v4_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v5_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))) & v7_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))) & -v3_struct_0(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]. 146.84/145.70 7697 (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]. 146.84/145.70 7698 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) != k9_funcsdom(A))) # label(t14_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7699 $T # label(t38_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7700 $T # label(t40_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7701 (all A all B all C all D all E (-v1_xboole_0(A) & -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_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & m1_subset_1(D,A) & v1_funct_1(C) -> 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]. 146.84/145.70 7702 (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),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))) = k9_funcsdom(A))))) # label(t22_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7703 (all A (-v1_xboole_0(A) -> m2_relset_1(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(k6_funcsdom(A)))) # label(dt_k6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7704 (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]. 146.84/145.70 7705 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),k3_real_1(C,D),B)) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),C,B)),k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,B))))))))))) # label(t25_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7706 (exists A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & v1_funcsdom(A) & v2_funcsdom(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) & l1_funcsdom(A))) # label(rc4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7707 $T # label(d18_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7708 $T # label(t47_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7709 (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]. 146.84/145.70 7710 (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) -> k4_real_1(D,k8_funct_2(A,k1_numbers,C,E)) = k8_funct_2(A,k1_numbers,B,E))) <-> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,C)) = B))))))))) # label(t15_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7711 (all A (-v1_xboole_0(A) -> -v3_struct_0(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)))) # label(fc1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7712 (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]. 146.84/145.70 7713 $T # label(t4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7714 $T # label(d8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7715 $T # label(d10_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7716 (exists A (v2_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & (exists B ((exists C ((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) -> E = np__0 & np__0 = D))))) & (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)))))))) & m1_subset_1(C,u1_struct_0(A)))) & m1_subset_1(B,u1_struct_0(A)))) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(t37_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7717 $T # label(t5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7718 (all A all B all C (-v1_xboole_0(C) -> -(r2_hidden(A,C) & A != B & (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists F ((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))) & m1_subset_1(F,k1_numbers))))))) & r2_hidden(B,C)))) # label(t30_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7719 (all A (-v1_xboole_0(A) -> v3_rlvect_1(k13_funcsdom(A)) & v4_rlvect_1(k13_funcsdom(A)) & v5_rlvect_1(k13_funcsdom(A)) & v6_rlvect_1(k13_funcsdom(A)) & v7_group_1(k13_funcsdom(A)) & v2_funcsdom(k13_funcsdom(A)) & l1_funcsdom(k13_funcsdom(A)) & v4_group_1(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(t50_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7720 $T # label(d17_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7721 (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) -> k3_rlvect_1(k13_funcsdom(A),k2_rlvect_1(k13_funcsdom(A),B,C),E) = k2_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),k3_rlvect_1(k13_funcsdom(A),C,E)) & k3_rlvect_1(k13_funcsdom(A),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) & k1_group_1(k13_funcsdom(A),B,k2_rlvect_1(k13_funcsdom(A),C,D)) = k2_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),k1_group_1(k13_funcsdom(A),B,D)) & k1_group_1(k13_funcsdom(A),B,k2_group_1(k13_funcsdom(A))) = B & k1_group_1(k13_funcsdom(A),B,k1_group_1(k13_funcsdom(A),C,D)) = k1_group_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),D) & k1_group_1(k13_funcsdom(A),C,B) = k1_group_1(k13_funcsdom(A),B,C) & (exists G (k2_rlvect_1(k13_funcsdom(A),B,G) = k1_rlvect_1(k13_funcsdom(A)) & m1_subset_1(G,u1_struct_0(k13_funcsdom(A))))) & k2_rlvect_1(k13_funcsdom(A),B,k1_rlvect_1(k13_funcsdom(A))) = B & k2_rlvect_1(k13_funcsdom(A),k2_rlvect_1(k13_funcsdom(A),B,C),D) = k2_rlvect_1(k13_funcsdom(A),B,k2_rlvect_1(k13_funcsdom(A),C,D)) & 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]. 146.84/145.70 7722 $T # label(d15_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7723 $T # label(t45_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7724 (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]. 146.84/145.70 7725 (exists A (v1_funcsdom(A) & l1_funcsdom(A))) # label(rc2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7726 (all A all B all C all D all E (-v1_xboole_0(A) & m1_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & m1_subset_1(D,k1_fraenkel(A,B)) & m1_subset_1(E,k1_fraenkel(A,B)) & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & v1_funct_1(C) & -v1_xboole_0(B) -> m2_fraenkel(k1_funcsdom(A,B,C,D,E),A,B,k1_fraenkel(A,B)))) # label(dt_k1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7727 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> 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),np__1,B)))))) # label(t23_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7728 (all A all B all C all D all E all F (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & v1_funct_1(C) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all G all H all I all J all K all L (g1_funcsdom(G,H,I,J,K,L) = g1_funcsdom(A,B,C,D,E,F) -> B = H & I = C & F = L & E = K & J = D & A = G)))) # label(free_g1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7729 (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) & v6_vectsp_1(A) & v3_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A))) # label(rc1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7730 (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 (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G ((exists H (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))) = F & m1_subset_1(H,k1_numbers))) & m1_subset_1(G,k1_numbers))))) & (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) = k9_funcsdom(C) -> G = np__0 & np__0 = F)))))))))) & A != B & k2_tarski(A,B) = C))) # label(t33_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7731 (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]. 146.84/145.70 7732 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),C,k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,B)))) = k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),k4_real_1(C,D),B)))))))))) # label(t24_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7733 $T # label(t35_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7734 $T # label(d9_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7735 $T # label(t6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7736 (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]. 146.84/145.70 7737 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m1_subset_1(D,k1_numbers) -> k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C))) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,B)),C))))))))) # label(t27_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7738 (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(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & m1_subset_1(E,k1_fraenkel(A,B)) & m1_subset_1(D,k1_fraenkel(A,B)) & m1_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & -v1_xboole_0(B) -> k1_binop_1(C,D,E) = k1_funcsdom(A,B,C,D,E))) # label(redefinition_k1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7739 (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]. 146.84/145.70 7740 $T # label(t39_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7741 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,B))))))) # label(t16_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7742 (all A (-v1_xboole_0(A) -> v2_rlvect_1(k11_funcsdom(A)) & v4_rlvect_1(k11_funcsdom(A)) & v5_rlvect_1(k11_funcsdom(A)) & v6_rlvect_1(k11_funcsdom(A)) & l2_rlvect_1(k11_funcsdom(A)) & v7_rlvect_1(k11_funcsdom(A)) & v3_rlvect_1(k11_funcsdom(A)) & -v3_struct_0(k11_funcsdom(A)))) # label(dt_k11_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7743 $T # label(d14_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7744 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) -> (k6_funcsdom(A) = B <-> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,B,C,D) = k4_funcsdom(k1_numbers,A,k33_binop_2,C,D)))))))))) # label(d2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7745 $T # label(t48_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7746 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> m2_fraenkel(k4_funcsdom(A,B,C,D,E),B,A,k1_fraenkel(B,A)))) # label(dt_k4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7747 (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,k35_binop_2,C,D) = k1_funcsdom(A,k1_numbers,B,C,D))))) <-> B = k7_funcsdom(A)))))) # label(d3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7748 $T # label(t3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7749 (all A (l1_funcsdom(A) -> l3_vectsp_1(A) & l2_rlvect_1(A))) # label(dt_l1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7750 (exists A l1_funcsdom(A)) # label(existence_l1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7751 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> 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]. 146.84/145.70 7752 (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]. 146.84/145.70 7753 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,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]. 146.84/145.70 7754 (all A all B all C all D all E all F (-v1_xboole_0(A) & -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)) -> k2_funcsdom(A,B,C,D,E,F) = k1_funct_1(E,F))) # label(redefinition_k2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7755 $T # label(t9_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7756 (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)) & 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,k3_rlvect_1(A,B,E),C) = k3_rlvect_1(A,k1_group_1(A,B,C),E) & k3_rlvect_1(A,k2_rlvect_1(A,B,C),E) = k2_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,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)) & k3_rlvect_1(A,k3_rlvect_1(A,B,F),E) = k3_rlvect_1(A,B,k4_real_1(E,F))))))))))))))) # label(d20_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7757 $T # label(t2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7758 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k12_funcsdom(A))) -> (all C (m1_subset_1(C,u1_struct_0(k12_funcsdom(A))) -> (all D (m1_subset_1(D,u1_struct_0(k12_funcsdom(A))) -> k2_rlvect_1(k12_funcsdom(A),B,C) = k2_rlvect_1(k12_funcsdom(A),C,B) & k2_rlvect_1(k12_funcsdom(A),B,k1_rlvect_1(k12_funcsdom(A))) = B & (exists E (k1_rlvect_1(k12_funcsdom(A)) = k2_rlvect_1(k12_funcsdom(A),B,E) & m1_subset_1(E,u1_struct_0(k12_funcsdom(A))))) & k1_group_1(k12_funcsdom(A),C,B) = k1_group_1(k12_funcsdom(A),B,C) & k1_group_1(k12_funcsdom(A),B,k1_group_1(k12_funcsdom(A),C,D)) = k1_group_1(k12_funcsdom(A),k1_group_1(k12_funcsdom(A),B,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)) & B = k1_group_1(k12_funcsdom(A),k2_group_1(k12_funcsdom(A)),B) & k1_group_1(k12_funcsdom(A),B,k2_group_1(k12_funcsdom(A))) = B & k2_rlvect_1(k12_funcsdom(A),B,k2_rlvect_1(k12_funcsdom(A),C,D)) = k2_rlvect_1(k12_funcsdom(A),k2_rlvect_1(k12_funcsdom(A),B,C),D))))))))) # label(t42_funcsdom) # label(axiom) # label(non_clause). [assumption]. 146.84/145.70 7759 (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]. 146.84/145.70 7760 (all A (v3_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,k4_rlvect_2(A,C,B)),k6_rlvect_2(A,k4_rlvect_2(A,B,C))))))))) # label(t24_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7761 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> a_2_0_rlvect_2(A,B) = k10_rlvect_2(A,B))))) # label(d6_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7762 (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_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]. 146.84/145.71 7763 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_2(A,k7_rlvect_2(A,B)) = B)))) # label(t15_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7764 $T # label(t31_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7765 (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_rlvect_2(A,B,C) = k3_rlvect_2(A,C,B))) # label(commutativity_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7766 $T # label(t11_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7767 (all A (-v3_struct_0(A) & l2_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]. 146.84/145.71 7768 $T # label(t37_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7769 (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) -> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B))) # label(commutativity_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7770 $T # label(t88_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7771 (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_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]. 146.84/145.71 7772 (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) -> k2_tarski(B,C) = k8_rlvect_2(A,B,C))) # label(redefinition_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7773 (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 (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)) & v1_funct_1(B) -> (k21_rlvect_2(A) = B <-> (all C (m1_subset_1(C,k18_rlvect_2(A)) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D)) = k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D)))))))))) # label(d19_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7774 (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) -> 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]. 146.84/145.71 7775 (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,C) -> r1_rlvect_2(A,C,B)))) # label(symmetry_r1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7776 (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 (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v3_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & m2_relset_1(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_1(D) -> (k5_relat_1(D,B) = C -> k9_rlvect_1(A,B) = k9_rlvect_1(A,C)))))))))) # label(t9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7777 (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 (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(B) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(B)) -> k6_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) = k1_funct_1(D,E)))) & k3_finseq_1(C) = k3_finseq_1(B) -> k9_rlvect_1(A,D) = k6_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))))))))))) # label(t7_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7778 (all A all B (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlvect_2(B,A) & v6_rlvect_1(A) & v4_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]. 146.84/145.71 7779 (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) -> k10_rlvect_2(A,B) = k10_rlvect_2(A,k16_rlvect_2(A,B)))))) # label(t75_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7780 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (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]. 146.84/145.71 7781 (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_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]. 146.84/145.71 7782 (all A all B all C (m1_rlvect_2(C,B) & l1_rlvect_1(B) & -v3_struct_0(B) -> ((exists D (np__0 != k8_funct_2(u1_struct_0(B),k1_numbers,C,D) & A = D & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_0_rlvect_2(B,C))))) # label(fraenkel_a_2_0_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7783 $T # label(t13_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7784 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (exists B m1_rlvect_2(B,A)))) # label(existence_m1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7785 (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) -> (r1_tarski(k10_rlvect_2(A,C),B) <-> m2_rlvect_2(C,A,B)))))))) # label(d8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7786 (all A all B all C (v3_rlvect_1(A) & m1_rlvect_2(C,A) & m1_subset_1(B,k1_numbers) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_rlvect_2(k15_rlvect_2(A,B,C),A))) # label(dt_k15_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7787 (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) -> k22_rlvect_2(A) = u2_rlvect_1(k23_rlvect_2(A)))) # label(t95_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7788 (all A all B all C (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & 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]. 146.84/145.71 7789 (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) -> g2_rlvect_1(k18_rlvect_2(A),k20_rlvect_2(A,k11_rlvect_2(A)),k21_rlvect_2(A),k22_rlvect_2(A)) = k23_rlvect_2(A))) # label(d21_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7790 (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) -> k13_rlvect_2(A,k11_rlvect_2(A)) = k1_rlvect_1(A))) # label(t48_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7791 (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) -> u2_struct_0(k23_rlvect_2(A)) = k11_rlvect_2(A))) # label(t93_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7792 (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) -> r1_rlvect_2(A,k15_rlvect_2(A,np__1,B),B))))) # label(t71_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7793 (all A all B all C (-v3_struct_0(A) & m1_rlvect_2(B,A) & m1_rlvect_2(C,A) & l1_rlvect_1(A) -> r1_rlvect_2(A,B,B))) # label(reflexivity_r1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7794 (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_rlvect_2(B,A) -> k15_rlvect_2(A,k1_real_1(np__1),B) = k16_rlvect_2(A,B))))) # label(d14_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7795 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) -> k1_tarski(B) = k7_rlvect_2(A,B))) # label(redefinition_k7_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7796 (all A (l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> k1_rlvect_1(A) = k6_rlvect_2(A,k1_pre_topc(A)))) # label(t14_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7797 (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]. 146.84/145.71 7798 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> B = k11_rlvect_2(A))))) # label(t35_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7799 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((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))) <-> k6_rlvect_2(A,B) = C)))))))) # label(d4_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7800 (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]. 146.84/145.71 7801 $T # label(t55_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7802 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (r1_rlvect_2(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = k8_funct_2(u1_struct_0(A),k1_numbers,C,D)))))))))) # label(d11_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7803 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> (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]. 146.84/145.71 7804 $T # label(t29_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7805 $T # label(t64_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7806 (all A all B all C (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & l1_struct_0(A) -> k2_rlvect_2(A,C,B) = k2_rlvect_2(A,B,C))) # label(commutativity_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7807 (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) -> r1_rlvect_2(A,k16_rlvect_2(A,k16_rlvect_2(A,B)),B))))) # label(t77_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7808 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,k3_rlvect_2(A,C,B))))))))) # label(t22_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7809 (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_rlvect_2(B,A) -> k20_rlvect_2(A,B) = B)))) # label(d18_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7810 $T # label(dt_k18_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7811 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_2(A,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]. 146.84/145.71 7812 $T # label(t1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7813 (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) -> 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]. 146.84/145.71 7814 (all A all B (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_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]. 146.84/145.71 7815 (all A all B all C all D (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) & l1_struct_0(A) -> k9_rlvect_2(A,B,C,D) = k1_enumset1(B,C,D))) # label(redefinition_k9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7816 $T # label(t39_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7817 $T # label(t83_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7818 (all A (l2_struct_0(A) & -v3_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) -> k8_funct_2(u1_struct_0(A),k1_numbers,B,D) = np__0))) & 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]. 146.84/145.71 7819 $T # label(t46_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7820 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(D) = k3_finseq_1(C) & (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_rlvect_1(A,k9_rlvect_1(A,C),B) = k9_rlvect_1(A,D)))))))))) # label(t5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7821 $T # label(t63_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7822 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (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]. 146.84/145.71 7823 (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_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]. 146.84/145.71 7824 (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) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & m2_relset_1(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) -> (B = k22_rlvect_2(A) <-> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k15_rlvect_2(A,C,k19_rlvect_2(A,D)) = k1_funct_1(B,k4_tarski(C,D))))))))))) # label(d20_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7825 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_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]. 146.84/145.71 7826 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlvect_2(B,A) & v6_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]. 146.84/145.71 7827 $T # label(t57_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7828 (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) -> -v1_xboole_0(k18_rlvect_2(A)))) # label(fc1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7829 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_1(C) & m1_finseq_1(B,u1_struct_0(A)) & v7_rlvect_1(A) & v6_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]. 146.84/145.71 7830 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,B)))))))) # label(t21_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7831 (all A all B all C (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_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]. 146.84/145.71 7832 (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 (m2_rlvect_2(C,A,k7_rlvect_2(A,B)) -> k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) = k13_rlvect_2(A,C))))))) # label(t50_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7833 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlvect_2(B,A) & v3_rlvect_1(A) -> m1_rlvect_2(k16_rlvect_2(A,B),A))) # label(dt_k16_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7834 (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 ((all C (r2_hidden(C,B) <-> m1_rlvect_2(C,A))) <-> k18_rlvect_2(A) = B)))) # label(d16_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7835 (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 (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]. 146.84/145.71 7836 (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) -> -v3_struct_0(k23_rlvect_2(A)) & v3_rlvect_1(k23_rlvect_2(A)) & v4_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & v2_rlvect_1(k23_rlvect_2(A)))) # label(fc2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7837 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r2_hidden(C,k10_rlvect_2(A,B)) <-> np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,B,C)))))))) # label(t28_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7838 (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) -> k18_rlvect_2(A) = u1_struct_0(k23_rlvect_2(A)))) # label(t92_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7839 (all A all B all C (l1_struct_0(A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> k3_rlvect_2(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7840 $T # label(t56_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7841 $T # label(t32_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7842 (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_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]. 146.84/145.71 7843 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,k11_rlvect_2(A),B))))) # label(t30_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7844 (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_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]. 146.84/145.71 7845 $T # label(t27_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7846 (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)) & m2_relset_1(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_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)))) # label(dt_k21_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7847 (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_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]. 146.84/145.71 7848 (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_subset_1(B,k18_rlvect_2(A)) -> B = k19_rlvect_2(A,B))))) # label(d17_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7849 $T # label(t25_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7850 $T # label(t45_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7851 (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 (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & v1_funct_1(C) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (D = k12_rlvect_2(A,B,C) <-> (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)))) & k3_finseq_1(D) = k3_finseq_1(B)))))))))) # label(d9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7852 (all A (-v3_struct_0(A) & l1_rlvect_1(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]. 146.84/145.71 7853 $T # label(t85_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7854 (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) -> v3_rlvect_1(k23_rlvect_2(A)) & v4_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & l2_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & -v3_struct_0(k23_rlvect_2(A)))) # label(dt_k23_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7855 $T # label(t86_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7856 (all A all B all C all D (l1_struct_0(A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k9_rlvect_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k9_rlvect_2(A,B,C,D)))) # label(dt_k9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7857 (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_numbers) -> (all C (m1_rlvect_2(C,A) -> k15_rlvect_2(A,B,C) = k3_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),C),B))))))) # label(t97_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7858 $T # label(t90_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7859 (all A all B all C (l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> 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]. 146.84/145.71 7860 $T # label(t84_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7861 $T # label(d3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7862 (all A (-v3_struct_0(A) & v3_rlvect_1(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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(D != B & k4_rlvect_1(A,k4_rlvect_1(A,B,C),D) != k6_rlvect_2(A,k9_rlvect_2(A,B,C,D)) & D != C & B != C))))))))) # label(t17_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7863 $T # label(t72_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7864 (all A all B all C (l1_struct_0(A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> k5_rlvect_2(A,C,B) = k5_rlvect_2(A,B,C))) # label(commutativity_k5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7865 (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 (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]. 146.84/145.71 7866 $T # label(t2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7867 (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(k5_rlvect_2(A,B,C)) & m1_subset_1(k5_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7868 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (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)) -> k1_funct_1(D,E) = 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))))) & k3_finseq_1(D) = k3_finseq_1(B) & 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]. 146.84/145.71 7869 $T # label(t38_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7870 (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)) -> m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k8_rlvect_2(A,B,C)))) # label(dt_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7871 (all A all B all C (l1_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,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]. 146.84/145.71 7872 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_rlvect_1(A) & -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]. 146.84/145.71 7873 $T # label(t36_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7874 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) & k1_xboole_0 != B <-> (all C (m2_rlvect_2(C,A,B) -> r2_hidden(k13_rlvect_2(A,C),B)))))))) # label(t47_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7875 (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 (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)))) -> k5_rlvect_1(A,k9_rlvect_1(A,B)) = k9_rlvect_1(A,C)))))))) # label(t6_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7876 (all A (l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_membered(B) & v2_membered(B) & v4_membered(B) & v5_membered(B) & v3_membered(B) & v1_finset_1(B) & v1_funct_1(B) & v1_xboole_0(B))))) # label(rc1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7877 $T # label(d2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7878 $T # label(t78_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7879 $T # label(t89_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7880 (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 (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))) = k6_rlvect_2(A,k5_rlvect_2(A,C,B)))))))) # label(t23_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7881 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k17_rlvect_2(A,B,B),k11_rlvect_2(A)))))) # label(t82_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7882 $T # label(t87_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7883 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_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]. 146.84/145.71 7884 (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)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlvect_2(D,A) -> (k10_rlvect_2(A,D) = 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))) | B = C))))))))) # label(t54_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7885 $T # label(t91_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7886 (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)) -> (C != B -> k6_rlvect_2(A,k8_rlvect_2(A,B,C)) = k4_rlvect_1(A,B,C)))))))) # label(t16_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7887 $T # label(t12_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7888 (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) -> k21_rlvect_2(A) = u1_rlvect_1(k23_rlvect_2(A)))) # label(t94_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7889 (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_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]. 146.84/145.71 7890 (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_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]. 146.84/145.71 7891 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> k4_xboole_0(B,C) = k4_rlvect_2(A,B,C))) # label(redefinition_k4_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7892 (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_subset_1(D,u1_struct_0(A)) -> (all E (m2_relset_1(E,u1_struct_0(A),k1_numbers) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & v1_funct_1(E) -> 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]. 146.84/145.71 7893 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),k1_numbers) & m2_relset_1(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]. 146.84/145.71 7894 (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_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]. 146.84/145.71 7895 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 146.84/145.71 7896 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_rlvect_2(A,B) = B)))) # label(t3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7897 (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 (m2_relset_1(B,u1_struct_0(A),k1_numbers) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_funct_1(B) -> k6_finseq_1(u1_struct_0(A)) = k12_rlvect_2(A,k6_finseq_1(u1_struct_0(A)),B))))) # label(t41_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7898 (all A all B all C (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l2_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> ((exists D (D = A & m2_rlvect_2(D,B,C))) <-> r2_hidden(A,a_2_1_rlvect_2(B,C))))) # label(fraenkel_a_2_1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7899 $T # label(t10_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7900 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C m2_rlvect_2(C,A,B)))) # label(existence_m2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7901 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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)) -> k4_real_1(B,k8_funct_2(u1_struct_0(A),k1_numbers,C,E)) = k8_funct_2(u1_struct_0(A),k1_numbers,D,E))) <-> k15_rlvect_2(A,B,C) = D))))))))) # label(d13_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7902 (all A all B all C (l1_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_finset_1(C) & v1_finset_1(B) -> k2_rlvect_2(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7903 (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) -> m2_relset_1(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_2(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_1(k22_rlvect_2(A)))) # label(dt_k22_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7904 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_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]. 146.84/145.71 7905 (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) -> (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]. 146.84/145.71 7906 (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,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlsub_1(C,k23_rlvect_2(A)) & v2_rlvect_1(C) -> (a_2_1_rlvect_2(A,B) = u1_struct_0(C) <-> k24_rlvect_2(A,B) = C))))))) # label(d22_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7907 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,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]. 146.84/145.71 7908 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_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]. 146.84/145.71 7909 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (exists B (v1_finset_1(B) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7910 (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 (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & m2_relset_1(D,k1_relat_1(B),k1_relat_1(B)) & v3_funct_2(D,k1_relat_1(B),k1_relat_1(B)) -> (k3_finseq_1(C) = k3_finseq_1(B) & (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)))) -> k9_rlvect_1(A,B) = k9_rlvect_1(A,C)))))))))) # label(t8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7911 (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]. 146.84/145.71 7912 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_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]. 146.84/145.71 7913 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(D,A,B) & m2_rlvect_2(C,A,B) -> m2_rlvect_2(k17_rlvect_2(A,C,D),A,B)))))))))) # label(t81_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7914 (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_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]. 146.84/145.71 7915 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & m1_rlvect_2(B,A) -> m1_subset_1(k10_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k10_rlvect_2(A,B)))) # label(dt_k10_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7916 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (k14_rlvect_2(A,B,C) = D <-> (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)))))))))))) # label(d12_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7917 $T # label(t26_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7918 (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_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k17_rlvect_2(A,B,C) = k6_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)))))))) # label(t99_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7919 (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_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k17_rlvect_2(A,B,C) = k14_rlvect_2(A,B,k16_rlvect_2(A,C)))))))) # label(d15_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7920 (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_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (v2_funct_1(D) & k10_rlvect_2(A,B) = k2_relat_1(D) & k9_rlvect_1(A,k12_rlvect_2(A,D,B)) = C & m2_finseq_1(D,u1_struct_0(A)))) <-> C = k13_rlvect_2(A,B)))))))) # label(d10_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7921 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != C -> (all D (m2_rlvect_2(D,A,k8_rlvect_2(A,B,C)) -> k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C))) = k13_rlvect_2(A,D)))))))))) # label(t51_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7922 (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,B,B) = B)) # label(idempotence_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7923 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> 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]. 146.84/145.71 7924 (all A all B (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & m1_subset_1(B,k18_rlvect_2(A)) & l2_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]. 146.84/145.71 7925 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_2(C,u1_struct_0(A),k1_numbers) -> k12_rlvect_2(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))))))))) # label(t42_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7926 (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_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(D,A,B) & m2_rlvect_2(C,A,B) -> m2_rlvect_2(k14_rlvect_2(A,C,D),A,B)))))))))) # label(t59_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7927 (all A all B all C (m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (r1_rlvect_2(A,B,C) <-> B = C))) # label(redefinition_r1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.71 7928 (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_rlvect_2(A,B,B) = B)) # label(idempotence_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7929 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> (k10_rlvect_2(A,C) = k7_rlvect_2(A,B) -> k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) = k13_rlvect_2(A,C)))))))) # label(t53_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7930 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v4_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_binop_1(u1_rlvect_1(A),B,k1_binop_1(u1_rlvect_1(A),C,D)) = k1_binop_1(u1_rlvect_1(A),k1_binop_1(u1_rlvect_1(A),B,C),D)))))))))) # label(d3_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7931 (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(C,B)) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)))))))) # label(t9_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7932 (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]. 146.84/145.72 7933 (exists A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v2_realset2(A) & v1_realset2(A) & v1_rlvect_1(A) & l1_rlvect_1(A))) # label(rc1_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7934 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_realset2(A),k2_realset2(A)) & m2_relset_1(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]. 146.84/145.72 7935 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,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)) -> C = D))))))))) # label(t30_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7936 (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),C,B) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C))))))) # label(t5_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7937 (all A all B all C all D all E (-v1_realset1(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) & m1_subset_1(E,k4_xboole_0(A,k5_realset1(A,D))) & m1_subset_1(D,A) & v1_funct_2(C,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]. 146.84/145.72 7938 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,k4_realset2(A))))))) # label(t17_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7939 (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(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k1_funct_1(k5_realset2(A),k4_tarski(B,D)))) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k3_realset2(A),k4_tarski(C,D)))) & 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)))))))))))) # label(t3_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7940 (all A (l3_vectsp_1(A) & v4_realset2(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]. 146.84/145.72 7941 (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(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]. 146.84/145.72 7942 (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(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]. 146.84/145.72 7943 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),B)) = B & B = k1_funct_1(k5_realset2(A),k4_tarski(B,k6_realset2(A))))))) # label(t25_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7944 (all A (-v1_realset1(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_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,k4_xboole_0(A,k5_realset1(A,D))) -> (all F (-v3_realset2(F) & l3_vectsp_1(F) & v3_vectsp_1(F) -> (u1_struct_0(F) = A & u1_rlvect_1(F) = B & u1_group_1(F) = C & E = u1_vectsp_1(F) & D = u2_struct_0(F) <-> k1_realset2(A,B,C,D,E) = F))))))))))))) # label(d6_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7945 (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]. 146.84/145.72 7946 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (-v1_realset1(B) -> (k2_realset2(A) = B <-> (exists C (v1_funct_1(C) & (exists D (m1_subset_1(D,B) & (exists E ((exists F (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))))) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B)))))))) # label(d9_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7947 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C),D) = 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)))))))))) # label(t4_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7948 (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]. 146.84/145.72 7949 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k4_realset2(A),B) & B = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,k4_realset2(A)))))) # label(t6_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7950 (exists A (v3_vectsp_1(A) & v4_realset2(A) & l3_vectsp_1(A))) # label(rc4_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7951 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m1_subset_1(k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))))))) # label(t28_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7952 (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 = k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B)))))) # label(t27_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7953 (all A (l1_rlvect_1(A) -> (v2_realset2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & k1_binop_1(u1_rlvect_1(A),B,C) = u2_struct_0(A) & u2_struct_0(A) = k1_binop_1(u1_rlvect_1(A),C,B)))))))) # label(d2_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7954 (all A (v4_realset2(A) & l3_vectsp_1(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)))) & 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)))) & v1_funct_1(k8_realset2(A)))) # label(dt_k8_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7955 (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]. 146.84/145.72 7956 (all A (l3_vectsp_1(A) & v4_realset2(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 (m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),B))) & A = k1_realset2(k2_realset2(A),k3_realset2(A),C,B,D)))))))))) # label(d11_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7957 (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)))) -> (A = k1_realset2(k2_realset2(A),k3_realset2(A),k5_realset2(A),k4_realset2(A),B) <-> k6_realset2(A) = B))))) # label(d13_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7958 (all A (l3_vectsp_1(A) & v4_realset2(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,B) -> (k6_realset2(A) = D & C = k4_realset1(k2_realset2(A),k4_realset2(A),k5_realset2(A)) & B = k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))) -> v3_rlvect_1(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & l1_rlvect_1(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & v4_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]. 146.84/145.72 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)))) -> (exists C (k1_funct_1(k5_realset2(A),k4_tarski(B,C)) = k6_realset2(A) & k1_funct_1(k5_realset2(A),k4_tarski(C,B)) = k6_realset2(A) & m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))))))) # label(t11_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7960 (all A (l3_vectsp_1(A) & v4_realset2(A) -> v1_funct_2(k7_realset2(A),k2_realset2(A),k2_realset2(A)) & m2_relset_1(k7_realset2(A),k2_realset2(A),k2_realset2(A)) & v1_funct_1(k7_realset2(A)))) # label(dt_k7_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7961 (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)))) -> (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]. 146.84/145.72 7962 (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)) & 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(k3_realset2(A),k4_tarski(B,C)),k2_realset2(A)))))))) # label(t14_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7963 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(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]. 146.84/145.72 7964 (all A (l3_vectsp_1(A) & v4_realset2(A) -> -v1_realset1(k2_realset2(A)))) # label(dt_k2_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 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),u2_struct_0(A),B) & k1_binop_1(u1_rlvect_1(A),B,u2_struct_0(A)) = B))))) # label(d1_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7966 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all D (m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k1_funct_1(k5_realset2(A),k4_tarski(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]. 146.84/145.72 7967 (all A (l1_struct_0(A) -> (v3_realset2(A) <-> v1_realset1(u1_struct_0(A))))) # label(d5_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7968 (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]. 146.84/145.72 7969 (all A (l3_vectsp_1(A) & v4_realset2(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]. 146.84/145.72 7970 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> (k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,D) -> D = C))))))))) # label(t29_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7971 (all A (l3_vectsp_1(A) -> (v4_realset2(A) <-> (exists 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 ((exists E (m3_realset1(E,B,D) & (exists F (A = k1_realset2(B,C,E,D,F) & v4_rlvect_1(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & (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(C,k4_tarski(k1_funct_1(E,k4_tarski(G,H)),k1_funct_1(E,k4_tarski(G,I)))) = k1_funct_1(E,k4_tarski(G,k1_funct_1(C,k4_tarski(H,I)))))))))) & (all G (-v1_xboole_0(G) -> (all H (v1_funct_2(H,k2_zfmisc_1(G,G),G) & m2_relset_1(H,k2_zfmisc_1(G,G),G) & v1_funct_1(H) -> (all I (m1_subset_1(I,G) -> (I = F & H = k4_realset1(B,D,E) & k4_xboole_0(B,k5_realset1(B,D)) = G -> v1_realset2(g1_rlvect_1(G,H,I)) & l1_rlvect_1(g1_rlvect_1(G,H,I)) & v2_realset2(g1_rlvect_1(G,H,I)) & v4_rlvect_1(g1_rlvect_1(G,H,I)) & v3_rlvect_1(g1_rlvect_1(G,H,I)) & -v3_struct_0(g1_rlvect_1(G,H,I))))))))) & 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)) & m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))))))) & m1_subset_1(D,B))))) & -v1_realset1(B)))))) # label(d8_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7972 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m3_realset1(k5_realset2(A),k2_realset2(A),k4_realset2(A)))) # label(dt_k5_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7973 (all A (v4_realset2(A) & l3_vectsp_1(A) -> m2_relset_1(k3_realset2(A),k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_2(k3_realset2(A),k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_1(k3_realset2(A)))) # label(dt_k3_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7974 (all A (v4_realset2(A) & l3_vectsp_1(A) -> v2_realset2(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & l1_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & 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))) & -v3_struct_0(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))))) # label(t1_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7975 (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),B,C) = k1_binop_1(u1_rlvect_1(A),C,B))))) <-> v3_rlvect_1(A)))) # label(d4_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7976 (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(B,C)) = k1_funct_1(k5_realset2(A),k4_tarski(C,B)))))))) # label(t24_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7977 (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]. 146.84/145.72 7978 (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]. 146.84/145.72 7979 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B)))))) # label(t13_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7980 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (v1_funct_2(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m2_relset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & v1_funct_1(B) -> ((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]. 146.84/145.72 7981 (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(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(B,C))) = k1_funct_1(k5_realset2(A),k4_tarski(B,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),C))))))))) # label(t19_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7982 (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]. 146.84/145.72 7983 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (exists C (k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k4_realset2(A) & 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]. 146.84/145.72 7984 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (v1_funct_1(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)) -> (k3_realset2(A) = B <-> (exists C (m1_subset_1(C,k2_realset2(A)) & (exists D (m3_realset1(D,k2_realset2(A),C) & (exists E (A = k1_realset2(k2_realset2(A),B,D,C,E) & m1_subset_1(E,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),C)))))))))))))) # label(d10_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7985 (exists A (l3_vectsp_1(A) & -v3_realset2(A) & v3_vectsp_1(A))) # label(rc3_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7986 (exists A (l1_struct_0(A) & v3_realset2(A))) # label(rc2_realset2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7987 (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]. 146.84/145.72 7988 (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]. 146.84/145.72 7989 (exists A l1_metric_1(A)) # label(existence_l1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7990 (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]. 146.84/145.72 7991 (all A all B all C all D (v1_xreal_0(B) & -v3_struct_0(C) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) -> ((exists E (A = E & k2_metric_1(C,D,E) = B & m1_subset_1(E,u1_struct_0(C)))) <-> r2_hidden(A,a_3_2_metric_1(B,C,D))))) # label(fraenkel_a_3_2_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7992 (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) <-> (exists E (-v3_struct_0(E) & (exists F (A = E & a_3_0_metric_1(C,E,F) = D & F = B & m1_subset_1(F,u1_struct_0(E)))) & l1_metric_1(E))))) & (v3_struct_0(A) -> (k9_metric_1(A,B,C) = D <-> v1_xboole_0(D))))))))))) # label(d15_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7993 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (-v3_struct_0(A) -> (k10_metric_1(A,B,C) = D <-> (exists E (l1_metric_1(E) & (exists F (F = B & a_3_1_metric_1(C,E,F) = D & A = E & m1_subset_1(F,u1_struct_0(E)))) & -v3_struct_0(E))))) & (v3_struct_0(A) -> (v1_xboole_0(D) <-> D = k10_metric_1(A,B,C))))))))))) # label(d16_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7994 (all A (l1_metric_1(A) -> (v7_metric_1(A) <-> v3_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d8_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7995 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v5_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> r1_xreal_0(k1_metric_1(A,A,B,C,E),k3_real_1(k1_metric_1(A,A,B,C,D),k1_metric_1(A,A,B,D,E)))))))))))) # label(d6_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7996 (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) -> 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]. 146.84/145.72 7997 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k10_metric_1(B,C,A) = a_3_1_metric_1(A,B,C))))))) # label(t19_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7998 (exists A (v1_metric_1(A) & v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & v7_metric_1(A) & -v3_struct_0(A) & l1_metric_1(A))) # label(rc3_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 7999 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_metric_1(A) -> m1_subset_1(k2_metric_1(A,B,C),k1_numbers))) # label(dt_k2_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8000 (all A (v1_metric_1(k6_metric_1(A)) & v6_metric_1(k6_metric_1(A)) & v7_metric_1(k6_metric_1(A)) & v9_metric_1(k6_metric_1(A)) & v8_metric_1(k6_metric_1(A)))) # label(fc2_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8001 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> 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]. 146.84/145.72 8002 (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]. 146.84/145.72 8003 (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]. 146.84/145.72 8004 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k9_metric_1(B,C,A) = a_3_0_metric_1(A,B,C))))))) # label(t18_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8005 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> np__0 = k2_metric_1(A,B,B))) <-> v6_metric_1(A)))) # label(t1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8006 (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]. 146.84/145.72 8007 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_metric_1(A,C,B) = k2_metric_1(A,B,C) & r1_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D))) & (B = C -> np__0 = k2_metric_1(A,B,C)) & (k2_metric_1(A,B,C) = np__0 -> C = B))))))) -> v8_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v7_metric_1(A) & v6_metric_1(A)))) # label(t6_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8008 (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) -> np__0 = k1_metric_1(A,A,B,C,C))) <-> v2_metric_1(B,A)))) # label(d3_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8009 (all A all B all C (v8_metric_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_metric_1(A) -> k2_metric_1(A,B,C) = k4_metric_1(A,B,C))) # label(redefinition_k4_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8010 (all A (l1_metric_1(A) -> (v5_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v9_metric_1(A)))) # label(d10_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8011 (all A (l1_metric_1(A) -> l1_struct_0(A))) # label(dt_l1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8012 (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) -> m1_subset_1(k1_metric_1(A,B,C,D,E),k1_numbers))) # label(dt_k1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8013 (all A (l1_metric_1(A) -> (v9_metric_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D)))))))))))) # label(t4_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8014 (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) -> (r2_hidden(A,a_3_0_metric_1(B,C,D)) <-> (exists E (A = E & -r1_xreal_0(B,k2_metric_1(C,D,E)) & m1_subset_1(E,u1_struct_0(C))))))) # label(fraenkel_a_3_0_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8015 (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]. 146.84/145.72 8016 (all A (l1_metric_1(A) -> v1_funct_2(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m2_relset_1(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & v1_funct_1(u1_metric_1(A)))) # label(dt_u1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8017 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_metric_1(A) & v8_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]. 146.84/145.72 8018 $T # label(t7_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8019 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) & l1_metric_1(A) -> m1_subset_1(k10_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8020 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,k10_metric_1(B,C,A)) <-> r1_xreal_0(k2_metric_1(B,C,D),A) & -v3_struct_0(B)))))))))) # label(t13_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.72 8021 (all A (l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_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]. 146.84/145.72 8022 (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]. 146.84/145.72 8023 (all A (l1_metric_1(A) -> (v1_metric_1(A) -> g1_metric_1(u1_struct_0(A),u1_metric_1(A)) = A))) # label(abstractness_v1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8024 (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(k11_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k11_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8025 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (B = A <-> k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B) = np__0))))) # label(t9_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8026 $T # label(t8_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8027 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k11_metric_1(B,C,A) = a_3_2_metric_1(A,B,C))))))) # label(t20_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8028 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (all C all D (g1_metric_1(A,B) = g1_metric_1(C,D) -> D = B & A = C)))) # label(free_g1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8029 (exists A (l1_metric_1(A) & v1_metric_1(A))) # label(rc1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8030 (all A (v1_funct_1(k5_metric_1(A)) & m2_relset_1(k5_metric_1(A),k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(k5_metric_1(A),k2_zfmisc_1(A,A),k1_numbers))) # label(dt_k5_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8031 (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)) & v8_metric_1(A) -> k4_metric_1(A,B,C) = k4_metric_1(A,C,B))) # label(commutativity_k4_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8032 (all A k6_metric_1(A) = g1_metric_1(A,k5_metric_1(A))) # label(d12_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8033 (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]. 146.84/145.73 8034 (all A (l1_metric_1(A) -> (v6_metric_1(A) <-> v2_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d7_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8035 (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(A,k2_metric_1(B,C,D)) & -v3_struct_0(B) <-> r2_hidden(D,k9_metric_1(B,C,A))))))))))) # label(t12_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8036 (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]. 146.84/145.73 8037 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> np__0 = k1_metric_1(A,A,B,C,C) & (D != C -> np__1 = k1_metric_1(A,A,B,C,D)))))) <-> k5_metric_1(A) = B))) # label(d11_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8038 (all A all B all C all D (-v3_struct_0(C) & l1_metric_1(C) & m1_subset_1(D,u1_struct_0(C)) & v1_xreal_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & A = E & r1_xreal_0(k2_metric_1(C,D,E),B))) <-> r2_hidden(A,a_3_1_metric_1(B,C,D))))) # label(fraenkel_a_3_1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8039 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (v3_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (k1_metric_1(A,A,B,C,D) = np__0 -> C = D)))))))) # label(d4_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8040 (all A (-v1_xboole_0(A) -> -v3_struct_0(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(fc1_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8041 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (v4_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k1_metric_1(A,A,B,D,C) = k1_metric_1(A,A,B,C,D)))))))) # label(d5_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8042 (exists A (l1_metric_1(A) & -v3_struct_0(A) & v1_metric_1(A))) # label(rc2_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8043 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) & 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]. 146.84/145.73 8044 (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]. 146.84/145.73 8045 (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) & (exists F (B = F & D = a_3_2_metric_1(C,E,F) & A = E & m1_subset_1(F,u1_struct_0(E)))) & l1_metric_1(E))) <-> D = k11_metric_1(A,B,C))) & (v3_struct_0(A) -> (v1_xboole_0(D) <-> D = k11_metric_1(A,B,C))))))))))) # label(d17_metric_1) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8046 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> 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]. 146.84/145.73 8047 (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(k11_cat_2(A,B))) -> (exists D (m1_subset_1(D,u1_cat_1(A)) & (exists E (m1_subset_1(E,u1_cat_1(B)) & k12_cat_2(A,B,D,E) = C)))))))))) # label(t35_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8048 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(C),k15_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,F,k10_cat_1(B,E))))))))))))))) # label(t50_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8049 (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(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)))))))))) # label(t59_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8050 $T # label(t49_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8051 (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) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) & -v1_xboole_0(B) -> 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]. 146.84/145.73 8052 $T # label(t26_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8053 (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(k11_cat_2(A,B))) -> (exists D ((exists E (C = k13_cat_2(A,B,D,E) & m1_subset_1(E,u2_cat_1(B)))) & m1_subset_1(D,u2_cat_1(A)))))))))) # label(t37_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8054 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m3_cat_2(B,A) -> m2_cat_1(k8_cat_2(A,B),B,A))) # label(dt_k8_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8055 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> 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]. 146.84/145.73 8056 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(B,A),C) & m2_relset_1(D,k2_zfmisc_1(B,A),C) & v1_funct_1(D) -> v1_funct_1(k5_funct_5(D)) & m2_relset_1(k5_funct_5(D),A,k1_fraenkel(B,C)) & v1_funct_2(k5_funct_5(D),A,k1_fraenkel(B,C)))))))))) # label(t2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8057 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(D,u2_cat_1(B)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) -> k13_cat_2(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k13_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8058 (all A all B (l1_cat_1(B) & v2_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]. 146.84/145.73 8059 $T # label(t9_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8060 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(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]. 146.84/145.73 8061 (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) -> (k3_tarski(a_2_0_cat_2(A,B)) = C -> v1_funct_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C)) & 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) & v1_funct_1(k1_realset1(u5_cat_1(A),C)) & m2_relset_1(k1_realset1(u5_cat_1(A),C),k2_zfmisc_1(C,C),C) & v1_funct_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) & v1_funct_2(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & m2_relset_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & m2_relset_1(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),u3_cat_1(A),C),C,B) & 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]. 146.84/145.73 8062 (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)) -> m1_subset_1(C,u2_cat_1(A)))))))) # label(t14_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8063 (all A all B all C all D all E (v2_cat_1(B) & 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(B)) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k15_cat_2(A,B,C,D,E),A,C))) # label(dt_k15_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8064 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_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]. 146.84/145.73 8065 (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,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> 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)) & 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)))))))))) # label(t38_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8066 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(B)) & l1_cat_1(B) & l1_cat_1(A) -> m1_subset_1(k12_cat_2(A,B,C,D),u1_cat_1(k11_cat_2(A,B))))) # label(dt_k12_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8067 (all A all B all C all D all E all F (-v1_xboole_0(C) & v1_funct_1(E) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & v1_funct_2(E,A,D) & m1_fraenkel(D,B,C) & -v1_xboole_0(A) -> k1_funct_1(E,F) = k1_cat_2(A,B,C,D,E,F))) # label(redefinition_k1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8068 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> m2_cat_1(k9_cat_2(u2_cat_1(A),u2_cat_1(C),u2_cat_1(B),u2_cat_1(D),E,F),k11_cat_2(A,C),k11_cat_2(B,D)))))))))))))) # label(t65_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8069 (all A all B all C all D all E all F (-v1_xboole_0(D) & v1_funct_1(E) & m1_relset_1(E,A,C) & v1_funct_1(F) & m1_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_2(E,A,C) & -v1_xboole_0(C) & -v1_xboole_0(B) & -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]. 146.84/145.73 8070 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_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)) & k10_cat_2(u2_cat_1(A),u2_cat_1(B),u5_cat_1(A),u5_cat_1(B)) = u5_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)) & 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)) & k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)) = u2_cat_1(k11_cat_2(A,B)) & u1_cat_1(k11_cat_2(A,B)) = k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)))))) # label(t33_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8071 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,C,B) & v1_funct_2(D,C,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,B) & v1_funct_2(E,C,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(C,C),C) -> (all G (m2_relset_1(G,B,C) & v1_funct_2(G,B,C) & v1_funct_1(G) -> (C = k3_tarski(a_2_0_cat_2(A,B)) & k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = D & k1_realset1(u5_cat_1(A),C) = F & k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = G & E = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) -> r1_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))) # label(t30_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8072 (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)) -> k10_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,D)) = k13_cat_2(A,B,k10_cat_1(A,C),k10_cat_1(B,D)))))))))) # label(t41_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8073 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,k15_cat_2(A,B,C,D,F)),E) = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(C),k12_cat_1(k11_cat_2(A,B),C,D),k12_cat_2(A,B,E,F)))))))))))))) # label(t51_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8074 (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) -> v1_funct_1(k3_funct_5(D)) & v1_funct_2(k3_funct_5(D),A,k1_fraenkel(B,C)) & m2_relset_1(k3_funct_5(D),A,k1_fraenkel(B,C)))))))))) # label(t1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8075 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> -v1_xboole_0(k3_tarski(a_2_0_cat_2(A,B))) & m1_subset_1(k3_tarski(a_2_0_cat_2(A,B)),k1_zfmisc_1(u2_cat_1(A))))))) # label(t28_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8076 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,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_2(E,u1_cat_1(B),k7_cat_2(A,C)) & m2_relset_1(E,u1_cat_1(B),k7_cat_2(A,C)) & v1_funct_1(E) -> ((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(A),B,C,k7_cat_2(B,C),D,G) = k15_cat_2(B,A,C,F,G) & k14_cat_2(B,A,C,F,H) = k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,H))))) & 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]. 146.84/145.73 8077 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & v2_cat_1(D) & l1_cat_1(D) & m2_cat_1(F,B,D) & m2_cat_1(E,A,C) & l1_cat_1(C) & v2_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k19_cat_2(A,B,C,D,E,F),k11_cat_2(A,B),k11_cat_2(C,D)))) # label(dt_k19_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8078 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,C,B) & m2_relset_1(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 (m2_relset_1(G,B,C) & v1_funct_2(G,B,C) & v1_funct_1(G) -> (r1_cat_2(g1_cat_1(B,C,D,E,F,G),A) -> C = k3_tarski(a_2_0_cat_2(A,B)) & k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = D & E = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) & k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = G & F = k1_realset1(u5_cat_1(A),C)))))))))))))))) # label(t31_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8079 $T # label(t57_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8080 (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(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]. 146.84/145.73 8081 (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)) -> C = k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(A),k16_cat_2(A,B),k13_cat_2(A,B,C,D)))))))))) # label(t58_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8082 (all A all B all C all D (-v1_xboole_0(B) & 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(C) & -v1_xboole_0(A) -> k5_funct_5(D) = k3_cat_2(A,B,C,D))) # label(redefinition_k3_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8083 (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,u2_cat_1(B)) -> k10_cat_1(A,C) = k8_funct_2(u2_cat_1(B),u2_cat_1(A),k4_cat_2(B,A,C),D))))))))) # label(t6_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8084 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(C) & v1_funct_2(E,A,D) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_1(E) & m1_fraenkel(D,B,C) -> m2_fraenkel(k1_cat_2(A,B,C,D,E,F),B,C,D))) # label(dt_k1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8085 (all A (l1_cat_1(A) & v2_cat_1(A) -> m3_cat_2(A,A))) # label(t18_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8086 (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(B),k17_cat_2(A,B),k13_cat_2(A,B,C,D)) = D)))))))) # label(t60_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8087 (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 (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]. 146.84/145.73 8088 $T # label(t56_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8089 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> m2_cat_1(k14_funct_3(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,k11_cat_2(B,C)))))))))))) # label(t62_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8090 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(C) & 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(B) -> v1_funct_1(k3_cat_2(A,B,C,D)) & v1_funct_2(k3_cat_2(A,B,C,D),B,k1_fraenkel(A,C)) & m2_relset_1(k3_cat_2(A,B,C,D),B,k1_fraenkel(A,C)))) # label(dt_k3_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8091 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (k5_cat_2(A,B) = C <-> (all D (m2_cat_1(D,A,B) <-> r2_hidden(D,C))))))))) # label(d2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8092 (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)) -> (F = D & E = C -> k6_cat_1(A,E,F) = k6_cat_1(B,C,D))))))))))))))) # label(t25_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8093 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) -> v1_funct_1(k2_cat_2(A,B,C,D)) & v1_funct_2(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & m2_relset_1(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)))) # label(dt_k2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8094 (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(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),k2_cat_2(A,B,C,F),D),E) = k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)))))))))))))) # label(t3_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8095 $T # label(t8_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8096 $T # label(t11_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8097 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k2_cat_2(A,B,C,D) = k3_funct_5(D))) # label(redefinition_k2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8098 (all A (l1_cat_1(A) & v2_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]. 146.84/145.73 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(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)) -> k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F)) = k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F))))))))))))))) # label(t40_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8100 (all A (l1_cat_1(A) & v2_cat_1(A) -> (exists B m3_cat_2(B,A)))) # label(existence_m3_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8101 (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) -> ((all D (m1_subset_1(D,C) -> m2_cat_1(D,A,B))) <-> m1_cat_2(C,A,B)))))))) # label(d3_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8102 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_cat_1(A),k7_cat_2(B,C)) & v1_funct_2(D,u1_cat_1(A),k7_cat_2(B,C)) -> (all E (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)) -> -((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)))))) & (all F (m2_cat_1(F,k11_cat_2(B,A),C) -> -(all G (m1_subset_1(G,u2_cat_1(B)) -> (all H (m1_subset_1(H,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k11_cat_2(B,A)),u2_cat_1(C),F,k13_cat_2(B,A,G,H)) = k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,G)),H),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,H)),G)))))))) & (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))))))))))))))))) # label(t52_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8103 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> C = k8_funct_2(u2_cat_1(B),u2_cat_1(A),k8_cat_2(A,B),C))))))) # label(t21_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8104 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & m1_cat_2(C,A,B) & l1_cat_1(B) & v2_cat_1(A) -> (exists D m2_cat_2(D,A,B,C)))) # label(existence_m2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8105 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> m2_cat_1(k15_cat_1(B),B,A))))) # label(t19_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8106 (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)) -> k10_pboole(u2_cat_1(A),k10_cat_1(B,C)) = k4_cat_2(A,B,C))))))) # label(d1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8107 (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]. 146.84/145.73 8108 $T # label(t20_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8109 (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) -> (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]. 146.84/145.73 8110 (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]. 146.84/145.73 8111 (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)) -> k13_cat_1(B,A,k8_cat_2(A,B),C) = C)))))) # label(t23_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8112 (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,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k2_cat_1(A,D) = k3_cat_1(A,C) & k2_cat_1(B,F) = k3_cat_1(B,E) -> 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]. 146.84/145.73 8113 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k16_cat_2(A,B) = k9_funct_3(u2_cat_1(A),u2_cat_1(B)))))) # label(d10_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8114 (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]. 146.84/145.73 8115 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (exists C m1_cat_2(C,A,B)))) # label(existence_m1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8116 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> m2_cat_1(k1_funct_1(k5_funct_5(D),k10_cat_1(B,E)),A,C))))))))))) # label(t45_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8117 (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]. 146.84/145.73 8118 $T # label(t46_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8119 $T # label(t32_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8120 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> -v1_xboole_0(k5_cat_2(A,B)))) # label(fc1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8121 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> l1_cat_1(k11_cat_2(A,B)) & v2_cat_1(k11_cat_2(A,B)))) # label(dt_k11_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8122 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k16_cat_2(A,B),k11_cat_2(A,B),A))) # label(dt_k16_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8123 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) -> k10_cat_2(A,B,C,D) = k3_funct_4(C,D))) # label(redefinition_k10_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8124 (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 (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]. 146.84/145.73 8125 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> m1_subset_1(k1_domain_1(u1_cat_1(A),u1_cat_1(B),C,D),u1_cat_1(k11_cat_2(A,B))))))))))) # label(t34_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8126 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & v2_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k18_cat_2(A,B,C,D,E),A,k11_cat_2(B,C)))) # label(dt_k18_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8127 $T # label(t5_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.84/145.73 8128 (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) -> (E = C & F = D -> m1_cat_1(G,A,E,F) | k6_cat_1(B,C,D) = k1_xboole_0))))))))))))))) # label(t16_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8129 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_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)) & k1_xboole_0 != k6_cat_1(B,F,G) & k6_cat_1(A,C,D) != k1_xboole_0))))))))))))))))) # label(t43_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8130 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) -> k8_funct_2(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]. 146.96/145.73 8131 (all A all B all C all D all E (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & m1_subset_1(E,u1_cat_1(A)) & l1_cat_1(C) & v2_cat_1(B) & 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]. 146.96/145.73 8132 (all A all B all C (l1_cat_1(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_cat_1(B))) & v2_cat_1(B) -> (r2_hidden(A,a_2_0_cat_2(B,C)) <-> (exists D exists E (m1_subset_1(D,u1_cat_1(B)) & A = k6_cat_1(B,D,E) & r2_hidden(E,C) & r2_hidden(D,C) & m1_subset_1(E,u1_cat_1(B))))))) # label(fraenkel_a_2_0_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8133 (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]. 146.96/145.73 8134 (all A all B all C all D all E all F (v2_cat_1(C) & m1_cat_2(D,B,C) & v1_funct_2(E,A,D) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_1(E) & l1_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]. 146.96/145.73 8135 (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]. 146.96/145.73 8136 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (m3_cat_2(B,A) <-> r1_tarski(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)) -> (D = C -> k10_cat_1(A,D) = k10_cat_1(B,C)))))) & (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (C = E & D = F -> r1_tarski(k6_cat_1(B,C,D),k6_cat_1(A,E,F))))))))))) & r1_tarski(u1_cat_1(B),u1_cat_1(A))))))) # label(d4_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8137 (all A all B all C all D (l1_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(B)) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> k4_tarski(C,D) = k12_cat_2(A,B,C,D))) # label(redefinition_k12_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8138 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> k15_cat_2(A,B,C,D,E) = k1_funct_1(k5_funct_5(D),k10_cat_1(B,E)))))))))))) # label(d9_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8139 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(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(B),u1_cat_1(C),k12_cat_1(B,C,k14_cat_2(A,B,C,D,E)),F))))))))))))) # label(t48_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8140 (all A (l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> ((all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (D = F & C = E -> k6_cat_1(A,C,D) = k6_cat_1(B,E,F)))))))))) & m3_cat_2(A,B) <-> r1_cat_2(A,B)))))) # label(d6_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8141 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> m1_cat_2(k7_cat_2(A,B),A,B))) # label(dt_k7_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8142 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(F,B,D) & m2_cat_1(E,A,C) & l1_cat_1(D) & v2_cat_1(D) & l1_cat_1(C) & v2_cat_1(C) & v2_cat_1(A) -> k19_cat_2(A,B,C,D,E,F) = k15_funct_3(E,F))) # label(redefinition_k19_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8143 (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]. 146.96/145.73 8144 (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(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,k10_cat_1(A,E),F)) = k8_funct_2(u2_cat_1(B),u2_cat_1(C),k14_cat_2(A,B,C,D,E),F))))))))))))) # label(t47_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8145 (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)) -> k8_funct_2(u1_cat_1(B),u1_cat_1(A),k12_cat_1(B,A,k8_cat_2(A,B)),C) = C)))))) # label(t22_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8146 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> v10_cat_1(k8_cat_2(A,B),B,A))))) # label(t24_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8147 (all A all B all C all D all E all F (-v1_xboole_0(A) & v2_cat_1(B) & m1_cat_2(D,B,C) & v1_funct_1(E) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_2(E,A,D) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> k6_cat_2(A,B,C,D,E,F) = k1_funct_1(E,F))) # label(redefinition_k6_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8148 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_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]. 146.96/145.73 8149 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (v9_cat_1(k8_cat_2(A,B),B,A) <-> r1_cat_2(B,A)))))) # label(t27_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8150 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_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]. 146.96/145.73 8151 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) & v2_cat_1(A) -> (all D (m2_cat_2(D,A,B,C) -> m2_cat_1(D,A,B))))) # label(dt_m2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8152 (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) <-> m1_subset_1(D,C))))) # label(redefinition_m2_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8153 (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)) -> 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)) = D)))))))) # label(t61_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.73 8154 (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)) -> (E = C & F = D & k2_cat_1(B,D) = k3_cat_1(B,C) -> k4_cat_1(A,E,F) = k4_cat_1(B,C,D)))))))))))))) # label(t17_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8155 (all A (l1_cat_1(A) & v2_cat_1(A) -> (exists B (m3_cat_2(B,A) & v1_cat_1(B) & v2_cat_1(B))))) # label(rc1_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8156 $T # label(dt_k5_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8157 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> C = k8_funct_2(u1_cat_1(B),u1_cat_1(A),k12_cat_1(B,A,k4_cat_2(B,A,C)),D))))))))) # label(t7_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8158 (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]. 146.96/145.74 8159 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> 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]. 146.96/145.74 8160 (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]. 146.96/145.74 8161 $T # label(t10_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8162 (all A all B all C all D all E all F (-v1_xboole_0(C) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) & m1_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k9_cat_2(A,B,C,D,E,F)) & 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)))) # label(dt_k9_cat_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8163 (all A all B all C all D (v2_cat_1(A) & l1_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) -> 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]. 146.96/145.74 8164 (all A all B (l1_cat_1(B) & v2_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]. 146.96/145.74 8165 (all A (v5_rlvect_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) & v4_group_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_subset_1(C,u1_struct_0(A)) -> -(k1_rlvect_1(A) != B & 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))))))) # label(t46_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8166 $T # label(t68_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8167 $T # label(t23_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8168 $T # label(t81_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8169 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v7_group_1(A) & v6_vectsp_1(A) -> -v3_struct_0(A) & v2_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A)))) # label(cc3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8170 (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) -> (exists B (l4_vectsp_1(B,A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B))))) # label(rc15_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8171 (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]. 146.96/145.74 8172 (all A (-v3_struct_0(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) -> (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),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),C,D)) & k6_vectsp_2(A,k5_vectsp_2(A),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 & 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),B,k4_rlvect_1(k5_vectsp_2(A),D,E)))))))))))) # label(t77_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8173 (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]. 146.96/145.74 8174 (all A all B all C all D (l1_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)) & -v3_struct_0(A) -> m1_subset_1(k6_vectsp_2(A,B,C,D),u1_struct_0(B)))) # label(dt_k6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8175 $T # label(t25_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8176 (all A (v3_rlvect_1(A) & v6_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) & 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)) -> -(k2_vectsp_2(A,k1_group_1(A,D,C),k1_group_1(A,B,C)) != k2_vectsp_2(A,D,B) & k1_rlvect_1(A) != C & B != k1_rlvect_1(A)))))))))) # label(t53_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8177 (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]. 146.96/145.74 8178 (all A all B all C all D all E (l1_struct_0(A) & m1_subset_1(D,B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & -v1_xboole_0(B) -> -v3_struct_0(g1_vectsp_2(A,B,C,D,E)) & v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A))) # label(fc1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8179 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C (l2_vectsp_2(C,A,B) & v4_vectsp_2(C,A,B))))) # label(rc10_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8180 (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) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> B = k1_vectsp_2(A,k1_vectsp_2(A,B))))))) # label(t49_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8181 $T # label(t12_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8182 $T # label(t3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8183 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_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_group_1(A,B,k2_vectsp_2(A,k2_group_1(A),B)) = k2_group_1(A) & k1_group_1(A,k2_vectsp_2(A,k2_group_1(A),B),B) = k2_group_1(A)))))) # label(t51_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8184 $T # label(t29_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8185 $T # label(t80_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8186 (all A all B (v3_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & 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_struct_0(A) -> -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_vectsp_2(k9_vectsp_2(A,B),B) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & v4_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)) & v5_rlvect_1(k9_vectsp_2(A,B)))) # label(fc5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8187 $T # label(t9_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8188 $T # label(t73_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8189 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C))))))))) # label(d15_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8190 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_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) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> B = k2_vectsp_2(A,k2_group_1(A),k1_vectsp_2(A,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]. 146.96/145.74 8191 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,B,D) = k1_group_1(A,B,C) -> B = k1_rlvect_1(A) | D = C))))))))) # label(t42_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8192 $T # label(d13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8193 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k2_vectsp_2(A,C,k5_rlvect_1(A,B)) = k5_rlvect_1(A,k2_vectsp_2(A,C,B)) & k5_rlvect_1(A,k2_vectsp_2(A,C,B)) = k2_vectsp_2(A,k5_rlvect_1(A,C),B)))))))) # label(t54_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8194 (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) -> 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]. 146.96/145.74 8195 (all A all B all C all D all E (l1_struct_0(A) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_subset_1(D,B) & v1_funct_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) -> F = A & I = D & J = E & H = C & B = G)))) # label(free_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8196 $T # label(t74_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8197 (exists A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_group_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v5_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A))) # label(rc3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8198 (all A all B (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & 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]. 146.96/145.74 8199 (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)) -> (k5_rlvect_1(A,B) = k1_rlvect_1(A) <-> k1_rlvect_1(A) = B))))) # label(t34_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8200 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (v1_vectsp_2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,B,k2_vectsp_1(A)) & k1_group_1(A,k2_vectsp_1(A),B) = B))))) # label(d2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8201 $T # label(t28_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8202 (all A all B all C all D all E all F all G (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(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_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) & v1_funct_1(F) & m1_subset_1(E,C) & v1_funct_1(D) & l1_struct_0(A) -> 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]. 146.96/145.74 8203 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v7_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v2_group_1(A)))) # label(cc2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8204 (all A all B all C all D all E all F all G (l1_struct_0(A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(E,C) & v1_funct_1(F) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & l1_struct_0(B) -> (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) -> B = I & D = K & G = N & M = F & E = L & C = J & A = H)))) # label(free_g2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8205 (all A (v1_funct_1(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)) -> A = k7_vectsp_2)) # label(d17_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8206 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_vectsp_1(A) & v7_group_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A))) # label(rc4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8207 (exists A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v4_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A))) # label(rc6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8208 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k4_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k4_rlvect_1(A,C,D),B) & 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))))))))))) # label(t55_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8209 $T # label(t58_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8210 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_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 (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> C = k1_group_1(A,k2_vectsp_2(A,C,B),B)))))))) # label(t57_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8211 (all A (l3_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(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)) -> 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)) & 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,k1_group_1(A,D,C),E) = k6_vectsp_2(A,B,C,k6_vectsp_2(A,B,D,E)) & k6_vectsp_2(A,B,k2_group_1(A),E) = E)))))))) <-> v5_vectsp_2(B,A)))))) # label(d23_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8212 $T # label(t76_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8213 $T # label(t59_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8214 $T # label(t72_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8215 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & -v3_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)))))))) # label(t41_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8216 $T # label(t82_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8217 $T # label(t63_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8218 (all A (l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B))))) # label(rc13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8219 (all A (-v3_struct_0(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) -> (all B (v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(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_1(A,C,D,k6_vectsp_2(B,C,E,F)) = k6_vectsp_2(B,C,E,k6_vectsp_1(A,C,D,F)))))))) <-> v6_vectsp_2(C,A,B)))))))) # label(d24_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8220 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (all C (l2_vectsp_2(C,A,B) -> l1_vectsp_2(C,B) & l4_vectsp_1(C,A))))) # label(dt_l2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8221 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> -v3_struct_0(k3_vectsp_2(A)) & v5_rlvect_1(k3_vectsp_2(A)) & l1_rlvect_1(k3_vectsp_2(A)) & v6_rlvect_1(k3_vectsp_2(A)) & v4_rlvect_1(k3_vectsp_2(A)) & v3_rlvect_1(k3_vectsp_2(A)) & v1_rlvect_1(k3_vectsp_2(A)))) # label(dt_k3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8222 $T # label(t65_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8223 $T # label(t8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8224 (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) -> v3_rlvect_1(k4_vectsp_2(A)) & v4_rlvect_1(k4_vectsp_2(A)) & v5_rlvect_1(k4_vectsp_2(A)) & v6_rlvect_1(k4_vectsp_2(A)) & v12_vectsp_1(k4_vectsp_2(A),A) & v11_vectsp_1(k4_vectsp_2(A),A) & -v3_struct_0(k4_vectsp_2(A)))) # label(fc3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8225 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> 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]. 146.96/145.74 8226 (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 (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_rlvect_1(A) != B) & k1_rlvect_1(A) != k2_group_1(A))) -> v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A)))) # label(t16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8227 $T # label(t31_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8228 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(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) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_rlvect_1(A))) # label(t13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8229 $T # label(t6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8230 $T # label(t67_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8231 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v5_rlvect_1(A) & v2_group_1(A) & v4_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_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))) # label(rc2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8232 $T # label(t36_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8233 (all A (v3_rlvect_1(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_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_vectsp_2(A,B) = k1_rlvect_1(A) & B != k1_rlvect_1(A)))))) # label(t48_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8234 $T # label(d1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8235 (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)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & B = k4_rlvect_1(A,C,D) & B = k4_rlvect_1(A,D,C))))))))) # label(t38_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8236 (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,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) & k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A) & k1_group_1(A,k2_group_1(A),B) = B & k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)) & k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) & k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) & B = k1_group_1(A,B,k2_group_1(A)) & k2_rlvect_1(A,B,k1_rlvect_1(A)) = B & k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B))))))) <-> 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)))) # label(t1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8237 (all A all B (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists C (v4_rlvect_1(C) & v5_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) & v3_rlvect_1(C) & -v3_struct_0(C) & l2_vectsp_2(C,A,B))))) # label(rc17_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8238 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8239 $T # label(d19_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8240 (all A (v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & 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)) -> -(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]. 146.96/145.74 8241 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & v3_vectsp_2(B,A))))) # label(rc8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8242 $T # label(t27_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8243 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> C != k1_rlvect_1(A) & B != k1_rlvect_1(A)))))))) # label(t39_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8244 $T # label(d4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8245 $T # label(t15_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8246 $T # label(d10_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8247 (all A all B (v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_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) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (v3_rlvect_1(C) & v4_vectsp_2(C,A,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & l2_vectsp_2(C,A,B))))) # label(rc14_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8248 (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]. 146.96/145.74 8249 (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) -> v4_rlvect_1(k5_vectsp_2(A)) & v5_rlvect_1(k5_vectsp_2(A)) & v3_vectsp_2(k5_vectsp_2(A),A) & v5_vectsp_2(k5_vectsp_2(A),A) & v6_rlvect_1(k5_vectsp_2(A)) & v3_rlvect_1(k5_vectsp_2(A)) & -v3_struct_0(k5_vectsp_2(A)))) # label(fc4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.74 8250 (all 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) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> v3_rlvect_1(k9_vectsp_2(A,B)) & v6_rlvect_1(k9_vectsp_2(A,B)) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v12_vectsp_1(k9_vectsp_2(A,B),A) & v5_rlvect_1(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & -v3_struct_0(k9_vectsp_2(A,B)))))) # label(t84_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8251 $T # label(t69_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8252 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (exists B (l4_vectsp_1(B,A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B))))) # label(rc12_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8253 (all A (-v3_struct_0(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) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v3_rlvect_1(B) -> (all C (l2_vectsp_2(C,A,B) & -v3_struct_0(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(C)) -> (all I (m1_subset_1(I,u1_struct_0(C)) -> k6_vectsp_1(A,C,k4_rlvect_1(A,D,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,k2_group_1(A),H) = H & H = k6_vectsp_2(B,C,k2_group_1(B),H) & k6_vectsp_2(B,C,F,k6_vectsp_1(A,C,D,H)) = k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,F,H)) & k6_vectsp_2(B,C,k1_group_1(B,G,F),H) = k6_vectsp_2(B,C,F,k6_vectsp_2(B,C,G,H)) & k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),H) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,G,H)) & k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,F,I)) & k6_vectsp_1(A,C,D,k6_vectsp_1(A,C,E,H)) = k6_vectsp_1(A,C,k1_group_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]. 146.96/145.75 8254 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_rlvect_1(A) != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) != k1_group_1(A,C,B)))))))) # label(t40_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8255 (all A all B (l1_struct_0(A) & l1_struct_0(B) -> (exists C (l2_vectsp_2(C,A,B) & -v3_struct_0(C))))) # label(rc11_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8256 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A))) # label(rc5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8257 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & 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)) -> -(C != k1_rlvect_1(A) & k2_vectsp_2(A,k1_group_1(A,D,C),B) != k2_vectsp_2(A,D,k2_vectsp_2(A,B,C)) & B != k1_rlvect_1(A)))))))))) # label(t56_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8258 (all A all B all C all D all E all F all G (l1_struct_0(B) & -v1_xboole_0(C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & m1_subset_1(E,C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_1(G) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(F) & v1_funct_1(D) & 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]. 146.96/145.75 8259 $T # label(t78_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8260 (exists A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_vectsp_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc7_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8261 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_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)) -> (k1_rlvect_1(A) != B -> k2_group_1(A) = k2_vectsp_2(A,B,B)))))) # label(t52_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8262 (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) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (exists B (-v3_struct_0(B) & v3_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) & l1_vectsp_2(B,A))))) # label(rc16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8263 $T # label(t44_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8264 $T # label(d3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8265 $T # label(t24_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8266 $T # label(t61_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8267 (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]. 146.96/145.75 8268 $T # label(t70_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8269 $T # label(t11_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8270 $T # label(t19_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8271 $T # label(t32_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8272 (all A (l1_vectsp_1(A) -> (v1_vectsp_2(A) & -v3_struct_0(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]. 146.96/145.75 8273 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) -> 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]. 146.96/145.75 8274 $T # label(t10_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8275 $T # label(t75_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8276 $T # label(t4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8277 $T # label(t2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8278 $T # label(t64_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8279 (all A (m1_subset_1(A,k1_tarski(k1_xboole_0)) -> A = k8_vectsp_2)) # label(d18_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8280 $T # label(d6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8281 (all A (l2_vectsp_1(A) & -v3_struct_0(A) -> (v2_vectsp_2(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 & k1_rlvect_1(A) != C)))))))) # label(d5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8282 $T # label(t30_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8283 $T # label(t20_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8284 (all A all B (l1_vectsp_2(B,A) & l1_struct_0(A) -> v1_funct_1(u1_vectsp_2(A,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_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))) # label(dt_u1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8285 $T # label(t5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8286 $T # label(t7_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8287 $T # label(d16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8288 $T # label(d22_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8289 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8290 (all 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) & 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 (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_group_1(A,B,k1_vectsp_2(A,B)) = k2_group_1(A) & k1_group_1(A,k1_vectsp_2(A,B),B) = k2_group_1(A)))))) # label(t43_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8291 $T # label(d20_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8292 (all A (-v3_struct_0(A) & v3_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) & 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(k4_vectsp_2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k4_vectsp_2(A))) -> k6_vectsp_1(A,k4_vectsp_2(A),B,k4_rlvect_1(k4_vectsp_2(A),D,E)) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),B,E)) & 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]. 146.96/145.75 8293 $T # label(t21_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8294 (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) -> v5_rlvect_1(k5_vectsp_2(A)) & v6_rlvect_1(k5_vectsp_2(A)) & v3_vectsp_2(k5_vectsp_2(A),A) & l1_vectsp_2(k5_vectsp_2(A),A) & v4_rlvect_1(k5_vectsp_2(A)) & v3_rlvect_1(k5_vectsp_2(A)) & -v3_struct_0(k5_vectsp_2(A)))) # label(dt_k5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8295 $T # label(t60_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8296 $T # label(t66_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8297 $T # label(d12_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8298 $T # label(t37_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8299 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & -v10_vectsp_1(A) & -v3_struct_0(A) -> m1_subset_1(k1_vectsp_2(A,B),u1_struct_0(A)))) # label(dt_k1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8300 $T # label(t33_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8301 $T # label(t14_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8302 $T # label(t17_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8303 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_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]. 146.96/145.75 8304 $T # label(t26_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8305 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_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) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_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]. 146.96/145.75 8306 (all A (-v3_struct_0(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_rlvect_1(k4_vectsp_2(A)) & v6_rlvect_1(k4_vectsp_2(A)) & v11_vectsp_1(k4_vectsp_2(A),A) & l4_vectsp_1(k4_vectsp_2(A),A) & v5_rlvect_1(k4_vectsp_2(A)) & v4_rlvect_1(k4_vectsp_2(A)) & -v3_struct_0(k4_vectsp_2(A)))) # label(dt_k4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8307 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (D = k4_rlvect_1(A,B,C) -> B = k6_rlvect_1(A,D,C)) & (B = k6_rlvect_1(A,D,C) -> k4_rlvect_1(A,B,C) = D) & (C = k6_rlvect_1(A,D,B) -> k4_rlvect_1(A,B,C) = D) & (k4_rlvect_1(A,B,C) = D -> C = k6_rlvect_1(A,D,B)))))))))) # label(t22_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8308 $T # label(t79_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8309 $T # label(t18_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8310 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & 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,B,k1_vectsp_2(A,C)) = k2_vectsp_2(A,B,C))))))) # label(d8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8311 $T # label(t35_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8312 (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) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v2_group_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)) -> (k2_group_1(A) = k1_group_1(A,B,C) <-> C = k1_vectsp_2(A,B))))))))) # label(d7_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8313 $T # label(t62_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8314 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k2_vectsp_2(A,B,C),u1_struct_0(A)))) # label(dt_k2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8315 (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]. 146.96/145.75 8316 (all A (v3_rlvect_1(A) & v5_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) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_1(A) = k1_group_1(A,B,C) -> k1_vectsp_2(A,B) = C & k1_vectsp_2(A,C) = B))))))) # label(t45_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8317 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_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]. 146.96/145.75 8318 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & r2_hidden(k5_lattices(A),B) & l3_lattices(A) & v13_lattices(A) -> u1_struct_0(A) = B & k1_filter_0(A) = B))))) # label(t32_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8319 (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)) -> (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D)))) & r3_lattices(A,k4_lattices(A,B,D),C) <-> k4_filter_0(A,B,C) = D)))))))))) # label(d8_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8320 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (u1_struct_0(A) != B & (all C (m1_filter_0(C,A) -> (r1_tarski(B,C) -> B = C | C = u1_struct_0(A)))) <-> v1_filter_0(B,A)))))) # label(d4_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8321 (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]. 146.96/145.75 8322 (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]. 146.96/145.75 8323 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v10_lattices(A) & l3_lattices(A) & (all C (m1_filter_0(C,A) -> -(r2_hidden(B,C) & v1_filter_0(C,A)))) & B != k5_lattices(A) & v13_lattices(A) & -v3_struct_0(A)))))) # label(t24_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8324 (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(k9_filter_0(A,C,D),B) <-> r1_filter_0(A,B,C,D)))))))))) # label(d13_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8325 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (C = k6_domain_1(u1_struct_0(A),B) -> k2_filter_0(A,B) = k3_filter_0(A,C)))))))) # label(t30_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8326 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8327 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k7_filter_0(A,B,C) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t52_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8328 (exists A (l3_lattices(A) & v5_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v3_filter_0(A) & v10_lattices(A) & v6_lattices(A) & v4_lattices(A) & v3_lattices(A) & -v3_struct_0(A))) # label(rc1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8329 (all A all B (v3_filter_0(A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v1_partfun1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k11_filter_0(A,B)) & v3_relat_2(k11_filter_0(A,B)))) # label(dt_k11_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8330 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A)))) # label(t13_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8331 (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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,B,C) & r3_lattices(A,D,E) -> r3_lattices(A,k4_lattices(A,B,D),k4_lattices(A,E,C)) & r3_lattices(A,k4_lattices(A,B,D),k4_lattices(A,C,E))))))))))))) # label(t5_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8332 (all A (-v3_struct_0(A) & v3_lattices(A) & v10_lattices(A) & l3_lattices(A) -> A = k8_filter_0(A,k1_filter_0(A)))) # label(t62_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8333 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8334 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r2_hidden(k6_lattices(A),B)))))) # label(t12_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8335 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8336 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = a_3_1_filter_0(A,B,C))))))) # label(t48_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8337 (all A all B all C (v10_lattices(A) & v17_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k7_filter_0(A,B,C),A))) # label(dt_k7_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8338 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(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]. 146.96/145.75 8339 (all A (v17_lattices(A) & l3_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(k7_lattices(A,C),B) | r2_hidden(C,B)))))))) # label(t57_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8340 $T # label(t21_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8341 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k5_filter_0(A,B,C)))) # label(fc1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8342 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> v8_relat_2(k10_filter_0(A,B)) & v1_partfun1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_relat_2(k10_filter_0(A,B))))))) # label(t84_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8343 $T # label(t33_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8344 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) & r3_lattices(A,B,D) -> r3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t7_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8345 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (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]. 146.96/145.75 8346 (all A all B all C (v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & r3_lattices(B,C,D) & D = A))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8347 (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))) -> 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]. 146.96/145.75 8348 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B))) & v10_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v17_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t75_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8349 (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))) -> (m1_filter_0(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,C,D) & r2_hidden(C,B) -> r2_hidden(D,B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_lattices(A,C,D),B))))))))))) # label(t9_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8350 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_filter_0(D,A) -> -((r2_hidden(B,D) & -r2_hidden(C,D) | -r2_hidden(B,D) & r2_hidden(C,D)) & v1_filter_0(D,A)))) & C != B))))))) # label(t60_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8351 (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 ((exists F ((exists G (m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,k4_lattices(B,F,G),E) & r2_hidden(G,D) & r2_hidden(F,C))) & m1_subset_1(F,u1_struct_0(B)))) & E = A & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8352 $T # label(t16_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8353 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_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]. 146.96/145.75 8354 (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))) -> (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(D,B) & r2_hidden(C,B))))))))))) # label(d1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8355 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) -> (all B (m1_filter_0(B,A) -> -(u1_struct_0(A) != B & (all C (m1_filter_0(C,A) -> -(v1_filter_0(C,A) & r1_tarski(B,C)))))))))) # label(t22_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8356 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k4_lattices(A,D,B),C) & r3_lattices(A,k4_lattices(A,B,D),C)))))))))) # label(t2_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8357 $T # label(t17_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8358 (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,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,E) & r2_hidden(B,D) -> r2_hidden(k4_lattices(A,B,C),k5_filter_0(A,D,E)) & r2_hidden(k4_lattices(A,C,B),k5_filter_0(A,D,E))))))))))))) # label(t44_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8359 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k10_filter_0(A,D)) <-> r1_filter_0(A,D,B,C)))))))))) # label(t87_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8360 $T # label(t61_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8361 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k1_filter_0(A),A))) # label(dt_k1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8362 (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]. 146.96/145.75 8363 (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))) -> (E = B & 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]. 146.96/145.75 8364 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k4_filter_0(A,B,C),u1_struct_0(A)))) # label(dt_k4_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8365 $T # label(t79_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8366 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & r2_hidden(C,B))))))) # label(t11_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8367 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8368 (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,k3_lattices(A,D,B),k3_lattices(A,D,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))))))))))) # label(t1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8369 $T # label(t25_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8370 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = k6_filter_0(A,B,C))))))) # label(t51_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8371 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) & v17_lattices(A) -> v3_relat_2(k12_filter_0(A,B)) & v8_relat_2(k12_filter_0(A,B)) & v1_partfun1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k12_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8372 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = k3_filter_0(A,k5_filter_0(A,B,C)))))))) # label(t50_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8373 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> k1_realset1(u1_lattices(A),B) = u1_lattices(k8_filter_0(A,B)) & k1_realset1(u2_lattices(A),B) = u2_lattices(k8_filter_0(A,B)) & u1_struct_0(k8_filter_0(A,B)) = B)))) # label(t63_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 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) -> r1_filter_0(A,D,C,B)))))))))) # label(t89_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8375 (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,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]. 146.96/145.75 8376 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v17_lattices(A) & v10_lattices(A) -> k12_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k12_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8377 (all A all B (l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_0(A,B)) & v4_lattices(k8_filter_0(A,B)) & v7_lattices(k8_filter_0(A,B)) & v8_lattices(k8_filter_0(A,B)) & v9_lattices(k8_filter_0(A,B)) & v10_lattices(k8_filter_0(A,B)) & v6_lattices(k8_filter_0(A,B)) & v5_lattices(k8_filter_0(A,B)) & v3_lattices(k8_filter_0(A,B)))) # label(fc2_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8378 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v15_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t73_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8379 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_filter_0(C,A) -> ((all D (m1_filter_0(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) <-> C = k3_filter_0(A,B)))))))) # label(d5_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8380 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v2_filter_0(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) | r2_hidden(C,B) <-> r2_hidden(k3_lattices(A,C,D),B))))))))))) # label(d6_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8381 (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]. 146.96/145.75 8382 (all A (-v3_struct_0(A) & l3_lattices(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 (m1_subset_1(D,u1_struct_0(A)) & 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))))))))))))) # label(d7_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.75 8383 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & 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]. 146.96/145.76 8384 (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))) -> (v13_lattices(A) & l3_lattices(A) & r2_hidden(k5_lattices(A),B) & v10_lattices(A) & -v3_struct_0(A) -> k3_filter_0(A,B) = k1_filter_0(A) & u1_struct_0(A) = k3_filter_0(A,B)))))) # label(t31_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8385 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> r1_tarski(C,k5_filter_0(A,B,C)) & r1_tarski(B,k5_filter_0(A,B,C)))))))) # label(t49_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8386 (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),C) = k4_filter_0(A,B,C))))))) # label(t55_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8387 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(B,D) & r2_hidden(k4_filter_0(A,B,C),D) -> r2_hidden(C,D)))))))))) # label(t41_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8388 $T # label(t86_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8389 (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]. 146.96/145.76 8390 (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]. 146.96/145.76 8391 (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]. 146.96/145.76 8392 (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)) -> k9_filter_0(A,C,B) = k9_filter_0(A,B,C))))))) # label(t77_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8393 $T # label(t43_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8394 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> v3_filter_0(k8_filter_0(A,B))))))) # label(t69_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8395 (all A all B (m1_filter_0(B,A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> k11_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k11_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8396 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v3_filter_0(A))) # label(t40_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8397 (all A all B all C all D (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists E exists F (m1_subset_1(F,u1_struct_0(B)) & k4_lattices(B,E,F) = A & r2_hidden(F,D) & r2_hidden(E,C) & 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]. 146.96/145.76 8398 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (k8_filter_0(A,B) = C <-> (exists D (v1_funct_2(D,k2_zfmisc_1(B,B),B) & (exists E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & C = g3_lattices(B,D,E) & E = k1_realset1(u1_lattices(A),B) & D = k1_realset1(u2_lattices(A),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E))) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D)))))))))) # label(d10_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8399 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> r1_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t81_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8400 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_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]. 146.96/145.76 8401 $T # label(t8_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8402 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_filter_0(A,B,C) = k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,C,B)))))))) # label(d11_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8403 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_filter_0(E,A) -> (r2_hidden(k4_filter_0(A,C,D),E) & r2_hidden(k4_filter_0(A,B,C),E) -> r2_hidden(k4_filter_0(A,B,D),E)))))))))))) # label(t54_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8404 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(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,I,J) & r1_filter_0(A,B,H,I) -> r1_filter_0(A,B,H,J)))))))))))))))))))))) # label(t90_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8405 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_filter_0(A,B,B) = k6_lattices(A))))) # label(t38_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8406 (all A (l3_lattices(A) & v10_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]. 146.96/145.76 8407 $T # label(t36_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8408 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(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]. 146.96/145.76 8409 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(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,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]. 146.96/145.76 8410 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) -> -v3_struct_0(A) & v5_lattices(A) & v8_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A)))) # label(cc1_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8411 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k5_lattices(k8_filter_0(A,k2_filter_0(A,B))))))) # label(t71_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8412 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k1_filter_0(A) = u1_struct_0(A))) # label(d2_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8413 (all A all B all C (v10_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> k7_filter_0(A,B,C) = k5_filter_0(A,B,C))) # label(redefinition_k7_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8414 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r2_hidden(B,C) -> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t29_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8415 (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) -> k5_filter_0(A,B,C) = a_3_0_filter_0(A,B,C))))))) # label(d9_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8416 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(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]. 146.96/145.76 8417 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) -> v1_relat_1(k10_filter_0(A,B)))) # label(dt_k10_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8418 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> r3_relat_2(k10_filter_0(A,B),u1_struct_0(A)))))) # label(t82_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8419 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_relat_1(k10_filter_0(A,B)) = u1_struct_0(A)))))) # label(t85_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8420 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) & r3_lattices(A,D,C) -> r3_lattices(A,k3_lattices(A,B,D),C)))))))))) # label(t6_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8421 (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))) -> (E = B & F = C -> (r3_lattices(A,B,C) <-> r3_lattices(k8_filter_0(A,D),E,F))))))))))))))) # label(t65_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8422 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(k4_lattices(A,E,F) = B & r2_hidden(F,D) & r2_hidden(E,C)))))) & r2_hidden(B,k5_filter_0(A,C,D))))))))) # label(t45_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8423 $T # label(t76_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8424 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(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]. 146.96/145.76 8425 (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]. 146.96/145.76 8426 (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 (-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]. 146.96/145.76 8427 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) -> m1_filter_0(k6_filter_0(A,B,C),A))) # label(dt_k6_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 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 (-v3_struct_0(C) & l3_lattices(C) & v3_filter_0(C) & v10_lattices(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]. 146.96/145.76 8429 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_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(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),C) <-> r2_hidden(k9_filter_0(A,D,E),B)))))) <-> C = k10_filter_0(A,B)))))))) # label(d12_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8430 (all A all B (v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) & -v3_struct_0(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]. 146.96/145.76 8431 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (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]. 146.96/145.76 8432 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v1_filter_0(B,A) <-> v2_filter_0(B,A) & k1_filter_0(A) != B))))) # label(t58_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8433 (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)) -> (r3_lattices(A,C,B) <-> r2_hidden(B,k2_filter_0(A,C))))))))) # label(t18_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8434 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(-(all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = B)) & k2_filter_0(A,B) = u1_struct_0(A)))))) # label(t23_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8435 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> r8_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t83_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8436 (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]. 146.96/145.76 8437 (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))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> k5_filter_0(A,C,B) = k5_filter_0(A,B,C))))))) # label(t46_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8438 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (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]. 146.96/145.76 8439 (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)) -> (k5_lattices(A) = k4_lattices(A,B,k7_lattices(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t56_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8440 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v10_lattices(A) & v15_lattices(A) & v10_lattices(A) & l3_lattices(A) & v12_lattices(A) & -v3_struct_0(A) & l3_lattices(A) & v16_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B))) & v10_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v16_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v15_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t74_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8441 $T # label(t28_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8442 $T # label(t35_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8443 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> v14_lattices(A))) # label(t37_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8444 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(B,k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,B,C),k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,C,B),k2_filter_0(A,B)))))))) # label(t19_filter_0) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8445 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (k13_group_2(A,D,B) = k13_group_2(A,D,C) <-> -r1_xboole_0(k13_group_2(A,D,B),k13_group_2(A,D,C))))))))))) # label(t144_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8446 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (exists B m1_group_2(B,A)))) # label(existence_m1_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8447 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> r1_nat_1(k9_group_1(B),k9_group_1(A))))))) # label(t178_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8448 (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) -> 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]. 146.96/145.76 8449 (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]. 146.96/145.76 8450 (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) -> 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]. 146.96/145.76 8451 (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) -> k7_group_2(A,B) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,B)))))) # label(t91_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8452 $T # label(t124_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8453 (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 (v1_group_1(D) & m1_group_2(D,A) -> (D = k8_group_2(A,B,C) <-> 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]. 146.96/145.76 8454 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_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]. 146.96/145.76 8455 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (m1_group_2(B,A) <-> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k1_realset1(u1_group_1(A),u1_struct_0(B)) = u1_group_1(B)))))) # label(d5_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8456 (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) -> 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]. 146.96/145.76 8457 $T # label(t11_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8458 (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) -> 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]. 146.96/145.76 8459 (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 (v1_finset_1(C) & C = k14_group_2(A,B) & k17_group_2(A,B) = k4_card_1(C))) & (exists C (v1_finset_1(C) & k15_group_2(A,B) = C & k4_card_1(C) = k17_group_2(A,B)))))))) # label(t176_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8460 (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) -> k12_group_2(A,k9_group_2(A,C,D),B) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k12_group_2(A,C,B),k12_group_2(A,D,B)))))))))) # label(t148_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8461 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k2_group_1(C) = k2_group_1(B))))))) # label(t54_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8462 (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) -> r2_wellord2(k13_group_2(A,D,B),k13_group_2(A,D,C)))))))))) # label(t153_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8463 (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)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k1_group_1(A,C,D),B)))))) -> B = k2_group_2(A,B,B)))))) # label(t26_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8464 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k9_group_1(B) = k9_group_1(A) & v6_group_1(A) -> A = B))))) # label(t85_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8465 (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)) -> 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]. 146.96/145.76 8466 (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) -> (v6_group_1(B) & np__1 = k9_group_1(B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t82_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8467 (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) -> (k7_group_2(A,C) = k13_group_2(A,C,B) <-> r1_rlvect_1(C,B)))))))) # label(t142_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8468 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k15_group_2(A,k5_group_2(A)) = a_1_0_group_2(A))) # label(t169_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8469 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k17_group_2(A,B) = np__1 & v1_finset_1(k14_group_2(A,B)) -> B = A))))) # label(t181_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8470 (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]. 146.96/145.76 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))) -> (k2_group_2(A,B,C) != k1_xboole_0 <-> k1_xboole_0 != B & C != k1_xboole_0))))))) # label(t13_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8472 $T # label(t4_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8473 (all A all B (l1_group_1(A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_card_1(k16_group_2(A,B)))) # label(dt_k16_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8474 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & l1_group_1(A) & -v3_struct_0(A) -> k9_group_2(A,B,C) = k9_group_2(A,C,B))) # label(commutativity_k9_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8475 (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) -> k8_group_1(C) = k1_card_1(k13_group_2(A,C,B)) & k1_card_1(k12_group_2(A,C,B)) = k8_group_1(C))))))) # label(t155_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8476 (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))) -> (r2_hidden(A,k2_group_2(B,C,D)) <-> (exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & A = k1_group_1(B,E,F) & r2_hidden(F,D) & r2_hidden(E,C))) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t12_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8477 (all A (v7_group_1(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))) -> k2_group_2(A,k1_group_2(A,B),k1_group_2(A,C)) = k1_group_2(A,k2_group_2(A,B,C)))))))) # label(t30_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8478 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> -(k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)) & (all D (v1_group_1(D) & m1_group_2(D,A) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) != u1_struct_0(D)))) & ((exists D (m1_group_2(D,A) & k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = u1_struct_0(D))) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B))))))))) # label(t93_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8479 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> k2_group_1(A) = k2_group_1(B))))) # label(t53_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8480 (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,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]. 146.96/145.76 8481 (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) -> (r1_rlvect_1(C,A) <-> r2_hidden(A,k7_group_2(B,C))))))) # label(t88_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8482 (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) -> k3_group_2(A,B,k13_group_2(A,D,C)) = k4_group_2(A,C,k12_group_2(A,D,B)))))))))) # label(t128_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8483 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_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))))) & (all D (v1_group_1(D) & m1_group_2(D,A) -> (u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) -> r1_group_2(A,D,k8_group_2(A,B,C))))))))))) # label(t97_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8484 (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(B) = k5_group_2(C))))))) # label(t76_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8485 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finset_1(B) -> -((all C (v1_finset_1(C) -> -(k2_nat_1(A,k4_card_1(B)) = k4_card_1(C) & C = k3_tarski(B)))) & (all C -(r2_hidden(C,B) & (all D (v1_finset_1(D) -> -((all E (r2_hidden(E,B) -> C = E | r2_wellord2(C,E) & r1_xboole_0(C,E))) & A = k4_card_1(D) & D = C)))))))))) # label(t186_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8486 (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,E,D) = k1_group_1(A,D,E)))))) -> k2_group_2(A,B,C) = k2_group_2(A,C,B)))))))) # label(t28_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8487 (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) -> 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]. 146.96/145.76 8488 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_tarski(B) = k18_group_2(A,B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8489 (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]. 146.96/145.76 8490 (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]. 146.96/145.76 8491 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 146.96/145.76 8492 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_group_2(A,B) = k1_xboole_0 & B != k1_xboole_0) & -(k1_xboole_0 != k1_group_2(A,B) & B = k1_xboole_0))))) # label(t10_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8493 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (k7_group_2(A,C) = k12_group_2(A,C,B) <-> r1_rlvect_1(C,B)))))))) # label(t136_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8494 (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,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]. 146.96/145.76 8495 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k2_group_2(A,B,k4_group_2(A,D,C)) = k4_group_2(A,D,k2_group_2(A,B,C))))))))))) # label(t37_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8496 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 146.96/145.76 8497 (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) -> u1_struct_0(A) = k5_setfam_1(u1_struct_0(A),k15_group_2(A,B)) & k5_setfam_1(u1_struct_0(A),k14_group_2(A,B)) = u1_struct_0(A))))) # label(t167_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8498 $T # label(t96_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8499 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = B -> k3_group_1(C,D) = k3_group_1(A,B)))))))))) # label(t57_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8500 (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]. 146.96/145.76 8501 (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) -> k12_group_2(A,D,k1_group_1(A,B,C)) = k3_group_2(A,B,k12_group_2(A,D,C)))))))))) # label(t127_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8502 (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) -> (k8_group_1(A) = k16_group_2(A,B) & v1_finset_1(k14_group_2(A,B)) -> r1_group_2(A,B,k5_group_2(A)) & v6_group_1(A)))))) # label(t185_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8503 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,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]. 146.96/145.76 8504 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_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 & k4_group_2(A,k2_group_1(A),B) = B)))) # label(t43_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8505 $T # label(t112_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8506 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_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]. 146.96/145.76 8507 (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]. 146.96/145.76 8508 (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 (m1_subset_1(E,u1_struct_0(B)) & r1_rlvect_1(D,E) & k1_group_1(B,C,E) = A)) <-> r2_hidden(A,k12_group_2(B,D,C))))))))) # label(t125_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8509 (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_xreal_0(k9_group_1(B),k9_group_1(A))))))) # label(t84_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8510 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_2(A,k6_domain_1(u1_struct_0(A),B)) = k6_domain_1(u1_struct_0(A),k3_group_1(A,B)))))) # label(t6_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8511 $T # label(t162_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8512 $T # label(t131_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8513 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_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]. 146.96/145.76 8514 (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) -> k3_group_2(A,C,k4_group_2(A,D,B)) = k4_group_2(A,D,k3_group_2(A,C,B))))))))))) # label(t39_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8515 (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,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]. 146.96/145.76 8516 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_group_2(A,B,k1_subset_1(u1_struct_0(A))) = k1_xboole_0 & k1_xboole_0 = k4_group_2(A,B,k1_subset_1(u1_struct_0(A))))))) # label(t41_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8517 (all A (l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B))))) # label(dt_m1_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8518 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k13_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k13_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.76 8519 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists B (v2_group_1(B) & v3_group_1(B) & v4_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]. 146.96/145.76 8520 (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))) -> ((exists E (k12_group_2(A,B,E) = D & m1_subset_1(E,u1_struct_0(A)))) <-> r2_hidden(D,C)))) <-> k14_group_2(A,B) = C))))))) # label(d15_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8521 (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_rlvect_1(C,B) -> r1_rlvect_1(C,k3_group_1(A,B))))))))) # label(t60_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8522 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_group_1(k5_group_2(A)) & m1_group_2(k5_group_2(A),A))) # label(dt_k5_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8523 (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) -> (k15_group_2(A,B) = a_1_0_group_2(A) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t171_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8524 (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)) -> k2_group_2(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),k1_group_1(A,B,C),k1_group_1(A,B,D)))))))))) # label(t23_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8525 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> np__1 = k17_group_2(A,k6_group_2(A)))) # label(t180_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8526 (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]. 146.96/145.77 8527 (all A (l1_group_1(A) & v4_group_1(A) & v3_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]. 146.96/145.77 8528 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_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]. 146.96/145.77 8529 (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_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]. 146.96/145.77 8530 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_2(A,C,k7_group_2(A,B)) = k12_group_2(A,B,C))))))) # label(d13_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8531 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k18_group_2(A,B),k5_finsub_1(A)))) # label(dt_k18_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8532 (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)) -> k4_group_2(A,B,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A) & u1_struct_0(A) = k3_group_2(A,B,k2_subset_1(u1_struct_0(A))))))) # label(t42_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8533 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> 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]. 146.96/145.77 8534 (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) -> k12_group_2(A,B,k2_group_1(A)) = k7_group_2(A,B) & k7_group_2(A,B) = k13_group_2(A,B,k2_group_1(A)))))) # label(t132_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8535 (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) -> 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]. 146.96/145.77 8536 $T # label(t113_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8537 (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,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]. 146.96/145.77 8538 $T # label(t46_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8539 (all A all B (v3_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (r1_rlvect_1(C,A) -> r1_rlvect_1(B,A)))))) # label(t49_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8540 (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) -> (exists D (k4_group_2(A,k3_group_1(A,B),k12_group_2(A,C,B)) = u1_struct_0(D) & m1_group_2(D,A) & v1_group_1(D))))))))) # label(t150_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8541 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> 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]. 146.96/145.77 8542 (all A all B all C (v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k8_group_2(A,B,C),A) & v1_group_1(k8_group_2(A,B,C)))) # label(dt_k8_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8543 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(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]. 146.96/145.77 8544 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r1_rlvect_1(D,k1_group_1(A,k3_group_1(A,C),B)) <-> k12_group_2(A,D,B) = k12_group_2(A,D,C)))))))))) # label(t137_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8545 (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)) -> k12_group_2(A,k5_group_2(A),B) = k6_domain_1(u1_struct_0(A),B) & k13_group_2(A,k5_group_2(A),B) = k6_domain_1(u1_struct_0(A),B))))) # label(t133_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8546 (all A (-v3_struct_0(A) & v3_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) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (F = C & E = B -> k1_group_1(A,B,C) = k1_group_1(D,E,F)))))))))))))) # label(t52_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8547 $T # label(t72_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8548 (all A all B all C (v4_group_1(A) & l1_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_group_2(B,A) & v3_group_1(A) & -v3_struct_0(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]. 146.96/145.77 8549 $T # label(t32_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8550 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_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]. 146.96/145.77 8551 $T # label(t2_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8552 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> ((exists C (A = k6_domain_1(u1_struct_0(B),C) & m1_subset_1(C,u1_struct_0(B)))) <-> r2_hidden(A,a_1_0_group_2(B))))) # label(fraenkel_a_1_0_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8553 (all A (l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t51_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8554 (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_finset_1(k14_group_2(A,B)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k17_group_2(A,B) = C <-> (exists D (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]. 146.96/145.77 8555 (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_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]. 146.96/145.77 8556 (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)) -> k2_group_2(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),k1_group_1(A,B,D),k1_group_1(A,C,D)))))))))) # label(t24_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8557 (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,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]. 146.96/145.77 8558 (all A all B all C (-v3_struct_0(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & v3_group_1(B) -> (r2_hidden(A,a_2_0_group_2(B,C)) <-> (exists D (k3_group_1(B,D) = A & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8559 (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 (m1_subset_1(E,u1_struct_0(B)) & k1_group_1(B,D,E) = A & r2_hidden(E,C)))))))))) # label(t33_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8560 $T # label(t157_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8561 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_group_2(B,C)))))))) # label(t66_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8562 (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))) -> (v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k2_group_2(A,C,B) = k2_group_2(A,B,C)))))))) # label(t29_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8563 (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) -> r1_rlvect_1(B,k2_group_1(A)))))) # label(t55_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8564 (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]. 146.96/145.77 8565 (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]. 146.96/145.77 8566 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> k17_group_2(A,k5_group_2(A)) = k9_group_1(A)))) # label(t183_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8567 (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) -> (v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v7_group_1(B)))))) # label(t62_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8568 $T # label(t73_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8569 (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(k12_group_2(A,D,B),k12_group_2(A,D,C)))))))))) # label(t151_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8570 (all A all B (-v3_struct_0(A) & v3_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(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]. 146.96/145.77 8571 (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,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]. 146.96/145.77 8572 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (B = k5_group_2(A) <-> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(d7_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8573 $T # label(t45_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8574 (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)) -> 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]. 146.96/145.77 8575 (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) -> -(v3_group_1(A) & v4_group_1(A) & (all D (m1_group_2(D,A) & v1_group_1(D) -> u1_struct_0(D) != k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)))) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A)))))))) # label(t94_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8576 $T # label(t95_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8577 (all A (v3_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(B)) -> r1_rlvect_1(A,C))))))) # label(t50_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8578 (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,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]. 146.96/145.77 8579 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k11_group_2(A,C,B) = k10_group_2(A,C,B)))))))) # label(t122_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8580 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k2_group_2(A,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]. 146.96/145.77 8581 (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(B,D) -> m1_group_2(B,k9_group_2(A,C,D))))))))))) # label(t109_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8582 (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) -> (v6_group_1(A) -> k9_group_1(A) = k2_nat_1(k9_group_1(B),k17_group_2(A,B))))))) # label(t177_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8583 (all A all B (-v3_struct_0(A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k7_group_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8584 (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)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) & (all C (v1_group_1(C) & m1_group_2(C,A) -> B != u1_struct_0(C))) & (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)))))) & k1_xboole_0 != B))))) # label(t61_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8585 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> m1_group_2(A,k6_group_2(A)))) # label(t79_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8586 (all A all B all C (-v3_struct_0(A) & v4_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) & v3_group_1(A) -> r1_group_2(A,B,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8587 (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,B),k12_group_2(A,C,k3_group_1(A,B)))) & 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))))))))) # label(t140_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8588 (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]. 146.96/145.77 8589 (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)) -> u1_struct_0(A) = k12_group_2(A,k6_group_2(A),B) & k13_group_2(A,k6_group_2(A),B) = u1_struct_0(A))))) # label(t134_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8590 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k7_group_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]. 146.96/145.77 8591 (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]. 146.96/145.77 8592 $T # label(t74_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8593 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & 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]. 146.96/145.77 8594 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (u1_struct_0(A) = u1_struct_0(B) -> B = A))))) # label(t70_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8595 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(C,A) & r1_rlvect_1(D,A) <-> r1_rlvect_1(k8_group_2(B,C,D),A)))))))) # label(t99_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8596 (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) -> r1_tarski(k8_group_1(B),k8_group_1(A)))))) # label(t83_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8597 $T # label(t1_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8598 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_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]. 146.96/145.77 8599 (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_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]. 146.96/145.77 8600 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> r1_tarski(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]. 146.96/145.77 8601 (all A all B (-v3_struct_0(A) & v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v3_group_1(A) -> m1_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]. 146.96/145.77 8602 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) -> m1_subset_1(k3_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8603 $T # label(t86_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8604 (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) -> v4_group_1(B))))) # label(cc1_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8605 $T # label(t123_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8606 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> m1_group_2(k5_group_2(A),B))))) # label(t77_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8607 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(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]. 146.96/145.77 8608 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_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]. 146.96/145.77 8609 (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)) -> k2_group_2(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k1_group_1(A,B,C)))))))) # label(t22_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8610 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,B,C) = a_3_0_group_2(A,B,C))))))) # label(d2_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8611 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((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))))))) <-> k15_group_2(A,B) = C))))))) # label(d16_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8612 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) -> m2_subset_1(k17_group_2(A,B),k1_numbers,k5_numbers))) # label(dt_k17_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8613 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k1_group_2(A,k1_subset_1(u1_struct_0(A))) = k1_xboole_0)) # label(t8_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8614 (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]. 146.96/145.77 8615 (all A all B all C (v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k9_group_2(A,B,C)) & m1_group_2(k9_group_2(A,B,C),A))) # label(dt_k9_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8616 (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,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]. 146.96/145.77 8617 (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)) -> (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]. 146.96/145.77 8618 (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_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]. 146.96/145.77 8619 (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) -> (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]. 146.96/145.77 8620 (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))) -> (all D (m1_group_2(D,B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (r2_hidden(E,C) & r1_rlvect_1(D,F) & k1_group_1(B,E,F) = A & m1_subset_1(F,u1_struct_0(B)))))) <-> r2_hidden(A,k10_group_2(B,D,C))))))))) # label(t114_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8621 (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 (A = k1_group_1(B,E,D) & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t34_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8622 $T # label(t159_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8623 (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,u1_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]. 146.96/145.77 8624 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k2_group_2(A,B,k3_group_2(A,D,C)) = k2_group_2(A,k4_group_2(A,D,B),C)))))))))) # label(t36_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8625 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k8_group_2(A,B,B),B))))) # label(t100_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8626 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k9_group_1(k5_group_2(A)) = np__1)) # label(t81_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8627 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) -> g1_group_1(u1_struct_0(C),u1_group_1(C)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))))) # label(t69_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8628 (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]. 146.96/145.77 8629 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_group_2(A,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D),k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D))))))))))) # label(t19_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8630 (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))) -> (B != k1_xboole_0 -> k2_group_2(A,B,k2_subset_1(u1_struct_0(A))) = 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]. 146.96/145.77 8631 (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) -> k7_group_2(A,B) = u1_struct_0(B))))) # label(d9_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8632 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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)) & A = k1_group_1(B,E,F) & r2_hidden(F,C) & r1_rlvect_1(D,E))) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t115_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8633 (all A all B all C (m1_group_2(B,A) & m1_group_2(C,A) & v1_group_1(C) & v1_group_1(B) & l1_group_1(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]. 146.96/145.77 8634 (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) & v1_group_1(B) -> (k1_tarski(u1_struct_0(A)) = k14_group_2(A,B) -> A = B))))) # label(t173_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8635 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k1_tarski(u1_struct_0(A)) = k15_group_2(A,k6_group_2(A)) & k1_tarski(u1_struct_0(A)) = k14_group_2(A,k6_group_2(A)))) # label(t172_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8636 (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) -> k1_card_1(k14_group_2(A,B)) = k16_group_2(A,B))))) # label(d17_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8637 $T # label(t160_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8638 (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) -> k5_group_2(A) = k5_group_2(B))))) # label(t75_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8639 (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) -> r2_wellord2(k7_group_2(A,C),k13_group_2(A,C,B)) & r2_wellord2(k7_group_2(A,C),k12_group_2(A,C,B)))))))) # label(t154_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8640 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D)) = k2_group_2(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D))))))))) # label(t17_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8641 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> r2_hidden(k7_group_2(A,B),k14_group_2(A,B)) & r2_hidden(k7_group_2(A,B),k15_group_2(A,B)))))) # label(t165_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8642 (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_rlvect_1(C,k2_group_1(B)))))))) # label(t56_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8643 (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) -> (-r1_xboole_0(k12_group_2(A,D,B),k12_group_2(A,D,C)) <-> k12_group_2(A,D,B) = k12_group_2(A,D,C)))))))))) # label(t138_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8644 $T # label(t158_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8645 (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) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) -> k12_group_2(A,C,B) = k13_group_2(A,C,B)))))))) # label(t135_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8646 (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) -> 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]. 146.96/145.77 8647 (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]. 146.96/145.77 8648 (all A (v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B) & v7_group_1(B))))) # label(cc2_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8649 (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) -> 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]. 146.96/145.77 8650 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k1_group_1(A,B,C))))))))))) # label(t59_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8651 $T # label(t31_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8652 (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 (v1_finset_1(D) -> (all E (v1_finset_1(E) -> -(D = k12_group_2(A,C,B) & E = k13_group_2(A,C,B) & k4_card_1(E) = k9_group_1(C) & k4_card_1(D) = k9_group_1(C)))))) & v6_group_1(C)))))))) # label(t156_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8653 $T # label(t47_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8654 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,k9_group_2(A,C,B),C) <-> m1_group_2(C,B)))))))) # label(t107_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8655 (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(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]. 146.96/145.77 8656 $T # label(t161_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8657 (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))) -> ((exists E exists F (A = k1_group_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_group_2(B,C,D))))) # label(fraenkel_a_3_0_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8658 (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(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]. 146.96/145.77 8659 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k10_group_2(A,D,B),C) = k2_group_2(A,B,k11_group_2(A,D,C)))))))))) # label(t117_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8660 (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(C) | v6_group_1(B) -> v6_group_1(k9_group_2(A,B,C))))))))) # label(t111_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8661 (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) -> (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]. 146.96/145.77 8662 (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) -> (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]. 146.96/145.77 8663 (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) -> (a_1_0_group_2(A) = k14_group_2(A,B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t170_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8664 (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) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_group_1(u1_struct_0(C),u1_group_1(C)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))))) # label(t68_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8665 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> k7_group_2(A,B) = k1_group_2(A,k7_group_2(A,B)))))) # label(t92_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8666 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> (all B (m1_group_2(B,A) -> m1_group_2(B,k6_group_2(A)))))) # label(t78_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8667 (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]. 146.96/145.77 8668 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (l1_group_1(C) & v4_group_1(C) & v3_group_1(C) & -v3_struct_0(C) -> (m1_group_2(A,B) & m1_group_2(B,C) -> m1_group_2(A,C)))))))) # label(t65_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8669 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,k1_subset_1(u1_struct_0(A)),B) = k1_xboole_0 & k2_group_2(A,B,k1_subset_1(u1_struct_0(A))) = k1_xboole_0)))) # label(t20_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8670 (all A all B all C (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & -v3_struct_0(A) -> k9_group_2(A,B,C) = k8_group_2(A,B,C))) # label(redefinition_k9_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.77 8671 (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))) -> 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]. 146.96/145.77 8672 (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) -> (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]. 146.96/145.77 8673 (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]. 146.96/145.78 8674 (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) -> (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]. 146.96/145.78 8675 $T # label(t163_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8676 (all A (-v3_struct_0(A) & v3_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))) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) -> k4_group_2(A,B,C) = k3_group_2(A,B,C)))))))) # label(t44_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8677 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> k8_relset_1(u1_struct_0(A),u1_struct_0(A),k4_group_1(A),u1_struct_0(B)) = k4_group_1(B))))) # label(t58_group_2) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8678 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> 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]. 146.96/145.78 8679 (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_group_2(B,A) & v4_group_1(A) & v3_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]. 146.96/145.78 8680 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> 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]. 146.96/145.78 8681 (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) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_rlvect_1(B) = k1_rlvect_1(C))))))) # label(t19_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8682 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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) -> (r2_hidden(k6_rlvect_1(B,C,D),k3_vectsp_4(A,B,C,E)) <-> r1_rlvect_1(E,D)))))))))))) # label(t76_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8683 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (l4_vectsp_1(B,A) & -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(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))))))))))))) # label(d1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8684 (all A (-v3_struct_0(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) -> (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) -> m1_vectsp_4(k1_vectsp_4(A,C),A,B))))))) # label(t49_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8685 (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_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m2_vectsp_4(F,A,B,E) -> -((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) & r2_hidden(C,F)))))))))))))) # label(t95_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8686 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) -> (all B (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) -> u1_struct_0(C) = k3_vectsp_4(A,B,k1_rlvect_1(B),C))))))) # label(t60_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8687 (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_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_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)) -> -(D = k4_rlvect_1(B,C,G) & r1_rlvect_1(E,G)))) & r2_hidden(D,F)))))))))))))) # label(t94_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8688 (all A (v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_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,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (a_4_0_vectsp_4(A,B,C,D) = E & v1_vectsp_4(D,A,B) & v1_vectsp_4(C,A,B) -> v1_vectsp_4(E,A,B)))))))))))) # label(t9_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8689 (all 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) & -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,k1_zfmisc_1(u1_struct_0(B))) -> (m2_vectsp_4(C,A,B,k2_vectsp_4(A,B)) -> C = u1_struct_0(B)))))))) # label(t91_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8690 $T # label(t102_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8691 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_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]. 146.96/145.78 8692 $T # label(t1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8693 (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 (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) & -v3_struct_0(B) -> m1_vectsp_4(B,A,k2_vectsp_4(A,B)))))) # label(t53_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 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 (-v3_struct_0(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v11_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) & v11_vectsp_1(C,A) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(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]. 146.96/145.78 8695 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & 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_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,B,C,D) = k6_vectsp_1(A,E,C,F)))))))))))))) # label(t22_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8696 $T # label(t56_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8697 $T # label(t12_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8698 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -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)) -> 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]. 146.96/145.78 8699 (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) & 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(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]. 146.96/145.78 8700 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & 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) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (exists C m1_vectsp_4(C,A,B)))) # label(existence_m1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8701 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & -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_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]. 146.96/145.78 8702 $T # label(t98_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8703 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) -> (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))) -> (v1_vectsp_4(C,A,B) -> C = k1_xboole_0 | r2_hidden(k1_rlvect_1(B),C)))))))) # label(t4_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8704 (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 (-v3_struct_0(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) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (u1_struct_0(B) = u1_struct_0(C) -> C = B))))))) # label(t39_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8705 $T # label(t55_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8706 (all A all B (-v3_struct_0(B) & v6_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_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) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & 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 (r1_rlvect_1(E,F) & A = k4_rlvect_1(C,D,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]. 146.96/145.78 8707 (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 (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) -> (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]. 146.96/145.78 8708 (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_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(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(C,k3_vectsp_4(A,B,D,E)) <-> (exists F (k6_rlvect_1(B,D,F) = C & r1_rlvect_1(E,F) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t78_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8709 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & 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 (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (u1_struct_0(D) = u1_struct_0(C) -> C = D))))))))) # label(t37_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8710 (all 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) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> -((all F (m1_subset_1(F,u1_struct_0(B)) -> -(r1_rlvect_1(E,F) & k4_rlvect_1(B,C,F) = D))) & k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,C,E)))))))))))) # label(t80_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8711 $T # label(t44_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8712 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (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]. 146.96/145.78 8713 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l3_vectsp_1(A) & 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) & 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 C (m1_vectsp_4(C,A,B) -> v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v5_rlvect_1(C) & -v3_struct_0(C))))) # label(dt_m1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8714 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> C = B))))))) # label(t40_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8715 (all A all B all C all D all E (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l3_vectsp_1(B) & -v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_vectsp_4(E,B,C) & m1_subset_1(D,u1_struct_0(C)) & v3_rlvect_1(C) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> ((exists F (m1_subset_1(F,u1_struct_0(C)) & r1_rlvect_1(E,F) & k4_rlvect_1(C,D,F) = A)) <-> 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]. 146.96/145.78 8716 (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) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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]. 146.96/145.78 8717 (all 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_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,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]. 146.96/145.78 8718 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_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_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & D = k3_vectsp_4(A,B,E,C))) <-> m2_vectsp_4(D,A,B,C)))))))))) # label(d6_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8719 (all A (v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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) -> k1_vectsp_4(A,B) = k1_vectsp_4(A,C))))))) # label(t47_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8720 $T # label(t52_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8721 $T # label(t45_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8722 (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_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_vectsp_4(F,A,B) -> (r2_hidden(C,k3_vectsp_4(A,B,D,F)) & r2_hidden(C,k3_vectsp_4(A,B,E,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]. 146.96/145.78 8723 (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 (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m2_vectsp_4(k6_domain_1(u1_struct_0(B),C),A,B,k1_vectsp_4(A,B)))))))) # label(t87_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8724 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_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_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(k6_vectsp_1(A,B,C,D),k3_vectsp_4(A,B,D,E)) -> r1_rlvect_1(E,D) | k2_group_1(A) = C))))))))))) # label(t72_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8725 (all A (v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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]. 146.96/145.78 8726 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (E = F -> C = D))))))))))))) # label(t86_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8727 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v6_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) -> (exists D m2_vectsp_4(D,A,B,C)))) # label(existence_m2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8728 (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 (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) -> k1_vectsp_4(A,C) = k1_vectsp_4(A,D))))))))) # label(t48_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8729 (all A all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v5_rlvect_1(B) & v3_rlvect_1(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]. 146.96/145.78 8730 $T # label(t3_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8731 $T # label(t13_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8732 (all A (-v3_struct_0(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) -> (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_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]. 146.96/145.78 8733 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_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]. 146.96/145.78 8734 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & 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) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8735 (all 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) & -v3_struct_0(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v3_rlvect_1(C) -> (m1_vectsp_4(C,A,B) <-> r1_tarski(u1_struct_0(C),u1_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) & u2_struct_0(C) = u2_struct_0(B)))))))) # label(d2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8736 $T # label(t15_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8737 (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_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) -> m2_vectsp_4(u1_struct_0(B),A,B,k2_vectsp_4(A,B)))))) # label(t90_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8738 (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) & 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_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]. 146.96/145.78 8739 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_1(A,B,k6_rlvect_1(A,C,D),E) = k6_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)))))))))))) # label(t103_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8740 (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 (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) -> 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]. 146.96/145.78 8741 (all A all B (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -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) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v11_vectsp_1(k1_vectsp_4(A,B),A) & m1_vectsp_4(k1_vectsp_4(A,B),A,B))) # label(dt_k1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8742 (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 (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_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]. 146.96/145.78 8743 (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) -> (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_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> a_4_1_vectsp_4(A,B,C,D) = k3_vectsp_4(A,B,C,D))))))))) # label(d5_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8744 (all 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) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & 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) -> (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]. 146.96/145.78 8745 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (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]. 146.96/145.78 8746 (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) -> (all D (m2_vectsp_4(D,A,B,C) -> (u1_struct_0(C) = D <-> r2_hidden(k1_rlvect_1(B),D)))))))))) # label(t92_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8747 (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 (-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_subset_1(C,u1_struct_0(B)) -> k6_domain_1(u1_struct_0(B),C) = k3_vectsp_4(A,B,C,k1_vectsp_4(A,B)))))))) # label(t61_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8748 (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_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(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_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,k4_rlvect_1(B,D,C),E)))))))))))) # label(t68_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8749 (all 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) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(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]. 146.96/145.78 8750 (all 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_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_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]. 146.96/145.78 8751 (all A (v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -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_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]. 146.96/145.78 8752 $T # label(t100_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8753 (all A all B (v6_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) -> (all D (m1_vectsp_4(D,B,C) -> (all E (m1_vectsp_4(E,B,C) -> (m1_vectsp_4(D,B,E) & r1_rlvect_1(D,A) -> r1_rlvect_1(E,A)))))))))) # label(t16_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8754 (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) & 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_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]. 146.96/145.78 8755 $T # label(t11_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8756 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (u1_struct_0(E) = k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E) -> C = k1_rlvect_1(A) | r1_rlvect_1(E,D)))))))))))) # label(t66_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8757 (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_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (k3_vectsp_4(A,B,C,D) = u1_struct_0(D) <-> r2_hidden(k1_rlvect_1(B),k3_vectsp_4(A,B,C,D))))))))))) # label(t63_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8758 (all A (v3_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) & 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_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) <-> u1_struct_0(D) = k3_vectsp_4(A,B,C,D)))))))))) # label(t64_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.78 8759 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (D = G & F = C -> k4_rlvect_1(B,C,D) = k4_rlvect_1(E,F,G)))))))))))))))) # label(t21_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8760 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -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,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]. 146.96/145.79 8761 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8762 (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_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 (m2_vectsp_4(D,A,B,C) -> (v1_vectsp_4(D,A,B) <-> u1_struct_0(C) = D))))))))) # label(t85_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8763 (all A all B all C all D all E (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & -v3_struct_0(C) & v6_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & v4_group_1(B) & v4_rlvect_1(B) -> (r2_hidden(A,a_4_0_vectsp_4(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & r2_hidden(G,E) & r2_hidden(F,D) & k4_rlvect_1(C,F,G) = A))))) # label(fraenkel_a_4_0_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8764 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v6_rlvect_1(B) & m1_vectsp_4(C,A,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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_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]. 146.96/145.79 8765 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & 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) & 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,B),A,C))))))) # label(t50_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8766 (all A all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (A = k1_rlvect_1(C) <-> r1_rlvect_1(k1_vectsp_4(B,C),A)))))) # label(t46_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8767 $T # label(t14_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8768 (all A (v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -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) -> 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]. 146.96/145.79 8769 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (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 (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(D,E) <-> r1_rlvect_1(C,E)))) -> C = D))))))))) # label(t38_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8770 (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_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_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]. 146.96/145.79 8771 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> m2_vectsp_4(u1_struct_0(C),A,B,C))))))) # label(t89_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8772 (all 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) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (all F (m1_vectsp_4(F,A,B) & v11_vectsp_1(F,A) -> (k3_vectsp_4(A,B,D,F) = k3_vectsp_4(A,B,C,E) -> F = E))))))))))))) # label(t83_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8773 (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) & 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) -> (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]. 146.96/145.79 8774 (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) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_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]. 146.96/145.79 8775 $T # label(t54_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8776 (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 (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) -> (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]. 146.96/145.79 8777 (all A (v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & 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_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) <-> u1_struct_0(D) = k3_vectsp_4(A,B,k5_rlvect_1(B,C),D)))))))))) # label(t67_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8778 (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) -> (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) -> k1_rlvect_1(D) = k1_rlvect_1(C))))))))) # label(t20_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8779 $T # label(t2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8780 (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) & 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) -> m1_vectsp_4(k1_vectsp_4(A,C),A,D))))))))) # label(t51_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8781 (all A all B (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (-v3_struct_0(C) & v12_vectsp_1(C,A) & v11_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & m1_vectsp_4(C,A,B))))) # label(rc1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8782 (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 (l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_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 & C = F -> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)))))))))))))))) # label(t24_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8783 (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 (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,k1_zfmisc_1(u1_struct_0(B))) -> -(v1_vectsp_4(C,A,B) & (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> C != u1_struct_0(D))) & C != k1_xboole_0))))))) # label(t42_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8784 $T # label(t43_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8785 (all A (-v3_struct_0(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) -> (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) -> (r1_rlvect_1(E,D) -> k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E) = u1_struct_0(E)))))))))))) # label(t65_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8786 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & -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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(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]. 146.96/145.79 8787 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (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]. 146.96/145.79 8788 (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 (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,u1_struct_0(B)) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (E = D <-> k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,C,D)))))))))))) # label(t82_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8789 (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) & 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(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> ((exists F (r2_hidden(D,k3_vectsp_4(A,B,F,E)) & r2_hidden(C,k3_vectsp_4(A,B,F,E)) & m1_subset_1(F,u1_struct_0(B)))) <-> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t79_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8790 $T # label(t99_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8791 (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 (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) -> m1_vectsp_4(B,A,B))))) # label(t32_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8792 (all A (-v3_struct_0(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) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (exists E (r2_hidden(C,E) & m2_vectsp_4(E,A,B,D))))))))))) # label(t84_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8793 $T # label(t101_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8794 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(A) & -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 (m1_subset_1(E,u1_struct_0(D)) -> (C = E -> k5_rlvect_1(B,C) = k5_rlvect_1(D,E)))))))))))) # label(t23_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8795 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_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]. 146.96/145.79 8796 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (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 (v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (v3_rlvect_1(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & l4_vectsp_1(D,A) & v12_vectsp_1(D,A) & -v3_struct_0(D) -> (m1_vectsp_4(C,A,D) & m1_vectsp_4(B,A,C) -> m1_vectsp_4(B,A,D)))))))))) # label(t34_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8797 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (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_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]. 146.96/145.79 8798 (all A (v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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) -> -((all F (m1_subset_1(F,u1_struct_0(B)) -> -(r1_rlvect_1(E,F) & k6_rlvect_1(B,C,F) = D))) & k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,C,E)))))))))))) # label(t81_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8799 $T # label(t77_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8800 (all 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) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r1_rlvect_1(D,k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))) & r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t68_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8801 (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_rlvect_1(A) & v4_rlvect_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_4(D,A,B) -> (k2_vectsp_5(A,B,D,C) = D -> m1_vectsp_4(D,A,C)))) & (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (m1_vectsp_4(D,A,C) -> D = k2_vectsp_5(A,B,D,C)))))))))) # label(t21_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8802 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> r1_vectsp_5(A,B,C,D) & r1_vectsp_5(A,B,D,C))))))))) # label(t48_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8803 (all A all B (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -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) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_1(k5_vectsp_5(A,B)) & 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)))) # label(dt_k5_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8804 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & 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))) & v13_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]. 146.96/145.79 8805 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (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)) -> (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_vectsp_5(A,B,C,D) & E = k4_rlvect_1(B,F,G) & k4_rlvect_1(B,H,I) = E & r1_rlvect_1(C,H) & r1_rlvect_1(D,I) & r1_rlvect_1(D,G) & r1_rlvect_1(C,F) -> H = F & I = G))))))))))))))))))) # label(t58_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 146.96/145.79 8806 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(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 (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]. 146.96/145.79 8807 (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_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) -> 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)) & 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)))))) # label(t14_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8808 $T # label(t61_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8809 (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) & 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_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) -> k1_vectsp_5(A,B,E,k2_vectsp_5(A,B,D,C)) = k2_vectsp_5(A,B,k1_vectsp_5(A,B,E,D),C)))))))))))) # label(t36_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8810 (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) & 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) -> 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]. 147.01/145.79 8811 (all A (-v3_struct_0(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) -> (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_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]. 147.01/145.79 8812 $T # label(t3_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8813 $T # label(t71_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8814 (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_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 -> r1_vectsp_5(A,B,C,D) | (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F ((exists G ((exists H ((exists I (E = k4_rlvect_1(B,F,G) & k4_rlvect_1(B,H,I) = E & r1_rlvect_1(D,I) & -(H = F & G = I) & r1_rlvect_1(D,G) & r1_rlvect_1(C,H) & r1_rlvect_1(C,F) & m1_subset_1(I,u1_struct_0(B)))) & m1_subset_1(H,u1_struct_0(B)))) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t59_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8815 $T # label(t63_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8816 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_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 (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (a_4_0_vectsp_5(A,B,C,D) = u1_struct_0(E) <-> k1_vectsp_5(A,B,C,D) = E))))))))))) # label(d1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8817 (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) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & 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_5(D,A,B,C) -> m1_vectsp_5(C,A,B,D))))))))) # label(t53_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8818 (all A (v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) & m1_vectsp_4(E,A,D) -> m1_vectsp_4(k1_vectsp_5(A,B,C,E),A,D)))))))))))) # label(t40_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8819 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & 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) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(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]. 147.01/145.79 8820 (all A (-v3_struct_0(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & 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) & 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) -> (m1_vectsp_5(D,A,B,C) <-> r1_vectsp_5(A,B,D,C)))))))))) # label(d5_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8821 $T # label(t73_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8822 (all A (v3_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) & v5_rlvect_1(A) & v4_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) -> -v3_struct_0(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))) & v15_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))))))) # label(t80_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8823 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,B) & v11_vectsp_1(k2_vectsp_5(A,B,C,D),A))) # label(dt_k2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8824 $T # label(dt_k3_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8825 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> k2_vectsp_5(A,B,C,k2_vectsp_5(A,B,D,E)) = k2_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),E))))))))))) # label(t19_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8826 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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_vectsp_4(C,A,B) -> k2_vectsp_5(A,B,C,k1_vectsp_4(A,B)) = k1_vectsp_4(A,B) & k2_vectsp_5(A,B,k1_vectsp_4(A,B),C) = k1_vectsp_4(A,B))))))) # label(t25_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8827 (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) & 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) & v11_vectsp_1(C,A) -> k1_vectsp_5(A,B,C,C) = C)))))) # label(t8_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8828 (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) & 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) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k1_vectsp_5(A,B,C,k2_vectsp_4(A,B)) & 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]. 147.01/145.79 8829 (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 (-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 (m1_vectsp_4(D,A,B) -> (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) <-> r1_vectsp_5(A,B,C,D)))))))))) # label(d4_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8830 $T # label(t43_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8831 (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) & 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_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,E) & m1_vectsp_4(C,A,D) -> m1_vectsp_4(C,A,k2_vectsp_5(A,B,D,E))))))))))))) # label(t24_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8832 (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_rlvect_1(A) & v4_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) -> 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))) & -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]. 147.01/145.79 8833 $T # label(t1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8834 (all 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) & -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_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]. 147.01/145.79 8835 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> -v1_xboole_0(k3_vectsp_5(A,B)))) # label(fc1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8836 $T # label(t46_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8837 $T # label(t18_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8838 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_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) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> v1_funct_1(k6_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)) & 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)))) # label(dt_k6_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8839 (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) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> m1_vectsp_4(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]. 147.01/145.79 8840 $T # label(t4_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8841 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & 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 (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (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]. 147.01/145.79 8842 (all A (-v3_struct_0(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) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> C = k1_vectsp_5(A,B,C,k1_vectsp_4(A,B)) & k1_vectsp_5(A,B,k1_vectsp_4(A,B),C) = C)))))) # label(t13_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8843 (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) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & 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(t78_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.79 8844 (all A (-v3_struct_0(A) & v4_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) & v5_rlvect_1(A) & v3_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) -> (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]. 147.01/145.80 8845 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_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]. 147.01/145.80 8846 (all A all B all C all D all E (v6_rlvect_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & m1_vectsp_4(E,A,B) & m1_vectsp_4(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & 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) -> 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]. 147.01/145.80 8847 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (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) -> -v3_struct_0(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))) & 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(t79_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8848 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (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(D,A,C) & -m1_vectsp_4(C,A,D) & (exists E (m1_vectsp_4(E,A,B) & k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E)))) & -((all 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]. 147.01/145.80 8849 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_vectsp_5(A,B,C,D) = k1_vectsp_5(A,B,D,C))))))))) # label(t9_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8850 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & 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) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> 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]. 147.01/145.80 8851 (all A (v5_rlvect_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) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & 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_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (r1_rlvect_1(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)) & E = 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)) -> k4_vectsp_5(A,B,E,C,D) = F))))))))))))) # label(t66_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8852 (all A all B all C (v5_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & -v3_struct_0(B) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_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]. 147.01/145.80 8853 (all A (-v3_struct_0(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) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> B = k1_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)))))) # label(t16_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8854 (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 (v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v11_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> r2_hidden(B,k3_vectsp_5(A,B)))))) # label(t44_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8855 $T # label(t72_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8856 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (k1_vectsp_5(A,B,C,D) = B <-> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F ((exists G (m1_subset_1(G,u1_struct_0(B)) & r1_rlvect_1(C,F) & E = k4_rlvect_1(B,F,G) & r1_rlvect_1(D,G))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t57_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8857 $T # label(t26_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8858 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & -v3_struct_0(B) & v3_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) & v4_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_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]. 147.01/145.80 8859 (all A (-v3_struct_0(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (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 (m1_vectsp_4(E,A,B) -> k1_vectsp_5(A,B,C,k1_vectsp_5(A,B,D,E)) = k1_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),E))))))))))) # label(t10_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8860 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) <-> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (exists G (m1_subset_1(G,u1_struct_0(B)) & k5_subset_1(u1_struct_0(B),E,F) = k6_domain_1(u1_struct_0(B),G)))))))))))))))) # label(t56_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8861 (all A all B all C all D all E (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v4_rlvect_1(C) & v5_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_vectsp_4(E,B,C) & m1_vectsp_4(D,B,C) & v6_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v4_group_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_4_0_vectsp_5(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,u1_struct_0(C)) & 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))))))) # label(fraenkel_a_4_0_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8862 (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 (-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) -> (all E (r1_rlvect_1(k1_vectsp_5(A,B,C,D),E) <-> (exists F ((exists G (m1_subset_1(G,u1_struct_0(B)) & r1_rlvect_1(D,G) & E = k4_rlvect_1(B,F,G) & r1_rlvect_1(C,F))) & m1_subset_1(F,u1_struct_0(B)))))))))))))) # label(t5_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8863 (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) & 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 (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (k1_vectsp_5(A,B,C,D) = D <-> k2_vectsp_5(A,B,C,D) = C))))))))) # label(t37_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8864 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) -> (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) & v11_vectsp_1(D,A) -> D = k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,D,C)))))))))) # label(t31_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8865 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_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) -> (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]. 147.01/145.80 8866 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & 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_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) | r1_rlvect_1(D,E) -> r1_rlvect_1(k1_vectsp_5(A,B,C,D),E)))))))))))) # label(t6_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8867 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(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) -> (G = E & F = D -> k1_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)))))))))) <-> k5_vectsp_5(A,B) = C))))))) # label(d7_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8868 (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 (-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 (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]. 147.01/145.80 8869 $T # label(t42_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8870 (all A all B all C all D (v6_rlvect_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & 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) -> 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]. 147.01/145.80 8871 (all A (-v3_struct_0(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) -> (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) -> 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]. 147.01/145.80 8872 (all 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) & -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 (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]. 147.01/145.80 8873 $T # label(t60_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8874 (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_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 (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 & G = E -> 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)))))))))) <-> C = k6_vectsp_5(A,B)))))))) # label(d8_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8875 (all A (-v3_struct_0(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) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(D,A,k1_vectsp_5(A,B,C,D)) & m1_vectsp_4(C,A,k1_vectsp_5(A,B,C,D)))))))))) # label(t11_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8876 (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) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(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_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]. 147.01/145.80 8877 (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 (-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_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (D = k1_vectsp_5(A,B,C,D) <-> m1_vectsp_4(C,A,D)))))))))) # label(t12_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8878 $T # label(t74_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8879 (all A (v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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 (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (E = k2_vectsp_5(A,B,C,D) <-> u1_struct_0(E) = k3_xboole_0(u1_struct_0(C),u1_struct_0(D))))))))))))) # label(d2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8880 (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_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(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]. 147.01/145.80 8881 (all A (l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & 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) -> 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]. 147.01/145.80 8882 (all A (-v3_struct_0(A) & v4_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) & v7_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_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_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)))))))))))) # label(t70_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8883 (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_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 ((all D ((exists E (D = E & m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A))) <-> r2_hidden(D,C))) <-> k3_vectsp_5(A,B) = C)))))) # label(d3_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8884 (all A (-v3_struct_0(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) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_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]. 147.01/145.80 8885 $T # label(t45_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8886 (all A (v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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) -> -v3_struct_0(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))) & 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))))))) # label(t77_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8887 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_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) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_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]. 147.01/145.80 8888 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -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) & v11_vectsp_1(D,A) -> D = k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),D))))))))) # label(t30_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8889 $T # label(t62_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8890 (all 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_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_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]. 147.01/145.80 8891 (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 (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_vectsp_5(A,B,C,D) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t64_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8892 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> 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)) & 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]. 147.01/145.80 8893 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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 (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]. 147.01/145.80 8894 (all A (v3_rlvect_1(A) & v7_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)))))))))))) # label(t69_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8895 (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 (-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) -> 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]. 147.01/145.80 8896 $T # label(t2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8897 (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) & 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(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]. 147.01/145.80 8898 (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 (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (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) <-> 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)) & 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)))))))))))))))) # label(d6_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8899 (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]. 147.01/145.80 8900 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_3(A,B,k2_group_1(A)) = B)))) # label(t24_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8901 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r1_group_2(A,k6_group_3(A,C,B),k5_group_2(A)) -> r1_group_2(A,C,k5_group_2(A))))))))) # label(t81_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8902 $T # label(t112_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8903 (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 (v1_group_1(C) & m1_group_2(C,A) -> r1_group_2(A,k6_group_3(A,k6_group_3(A,C,B),k3_group_1(A,B)),C) & r1_group_2(A,k6_group_3(A,k6_group_3(A,C,k3_group_1(A,B)),B),C))))))) # label(t74_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8904 (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) -> (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> v1_group_3(B,A)))))) # label(t139_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8905 (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))) -> (C != k1_xboole_0 & k1_xboole_0 != B <-> k3_group_3(A,B,C) != k1_xboole_0))))))) # label(t39_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8906 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 147.01/145.80 8907 (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(k4_group_3(A,C,B),k8_group_3(A,C)))))))) # label(t114_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8908 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> 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]. 147.01/145.80 8909 $T # label(t152_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8910 (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))) -> (C != k1_xboole_0 -> B = k3_group_3(A,B,C)))))) <-> -v3_struct_0(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A)))) # label(t65_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8911 (all A all B (v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k8_group_3(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k8_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8912 (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) -> 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]. 147.01/145.80 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_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]. 147.01/145.80 8914 (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)) -> r2_hidden(k2_group_3(A,B,C),k7_group_3(A,B)))))))) # label(t97_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8915 $T # label(t87_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8916 $T # label(t135_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8917 (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,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)))))))) # label(t148_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8918 $T # label(t126_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8919 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k7_domain_1(u1_struct_0(A),k2_group_3(A,B,D),k2_group_3(A,C,D)) = k3_group_3(A,k7_domain_1(u1_struct_0(A),B,C),k6_domain_1(u1_struct_0(A),D)))))))))) # label(t46_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8920 (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]. 147.01/145.80 8921 (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) -> 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]. 147.01/145.80 8922 (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))) -> 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]. 147.01/145.80 8923 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_3(A,B,k1_group_1(A,C,D)) = k2_group_3(A,k2_group_3(A,B,C),D))))))))) # label(t29_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8924 (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))) -> k4_group_2(A,B,k3_group_2(A,k3_group_1(A,B),C)) = k4_group_3(A,C,B))))))) # label(t59_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8925 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> -v1_xboole_0(k1_group_3(A)))) # label(fc1_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8926 (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) -> (k9_group_3(A,C) = k9_group_3(A,B) <-> -r1_xboole_0(k9_group_3(A,B),k9_group_3(A,C))))))))) # label(t132_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8927 (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) -> (v6_group_1(C) <-> v6_group_1(k6_group_3(A,C,B))))))))) # label(t78_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8928 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_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]. 147.01/145.80 8929 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) & np__2 = k17_group_2(A,B) -> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t151_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8930 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,B,k2_group_2(A,C,D)) = k3_group_3(A,k3_group_3(A,B,C),D))))))))) # label(t42_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.80 8931 (all A all B (-v3_struct_0(A) & v3_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(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]. 147.01/145.81 8932 (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_group_3(A,B,C) <-> r2_hidden(B,k7_group_3(A,C))))))))) # label(t96_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8933 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(C,A) & v1_group_1(C) & m1_group_2(B,A) & v1_group_1(B) & l1_group_1(A) & v3_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]. 147.01/145.81 8934 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & k4_group_3(A,C,D) = B)) <-> r3_group_3(A,B,C)))))))) # label(d9_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8935 (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))) -> -((v1_finset_1(k14_group_2(A,k10_group_3(A,B))) | v1_finset_1(k8_group_3(A,B))) & (all C (v1_finset_1(C) -> -(C = k8_group_3(A,B) & k4_card_1(C) = k17_group_2(A,k10_group_3(A,B)))))))))) # label(t156_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8936 (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) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r2_group_3(A,B,B))) # label(reflexivity_r2_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8937 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_group_1(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]. 147.01/145.81 8938 (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) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & k6_group_3(A,C,D) = g1_group_1(u1_struct_0(B),u1_group_1(B)))) <-> r5_group_3(A,B,C)))))))) # label(d11_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8939 (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) -> -(C = k7_group_3(A,B) & k17_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))) = k4_card_1(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]. 147.01/145.81 8940 (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]. 147.01/145.81 8941 (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) -> r2_hidden(B,k9_group_3(A,B)))))) # label(t130_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8942 (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)) -> (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]. 147.01/145.81 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_subset_1(C,u1_struct_0(A)) -> (k2_group_1(A) = k2_group_3(A,B,C) -> k2_group_1(A) = B))))))) # label(t23_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8944 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) -> (r1_group_3(A,B,C) <-> r2_group_3(A,B,C)))) # label(redefinition_r2_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8945 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (exists B (m1_group_2(B,A) & -v3_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v1_group_3(B,A) & v4_group_1(B) & v3_group_1(B))))) # label(rc1_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8946 (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)) -> r1_tarski(k13_group_2(A,B,C),k12_group_2(A,B,C))))))))) # label(t142_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8947 (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 (m1_group_2(D,A) & v1_group_1(D) -> (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]. 147.01/145.81 8948 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & k2_group_3(A,B,D) = C)) <-> r1_group_3(A,B,C)))))))) # label(t88_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8949 (all A all B all C (v3_group_1(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_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]. 147.01/145.81 8950 $T # label(t94_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8951 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> v1_group_3(k9_group_2(A,B,C),A))))))) # label(t138_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8952 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,k5_group_3(A,C,B),D) = k5_group_3(A,k2_group_2(A,C,D),B))))))))) # label(t55_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8953 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (u1_struct_0(C) = a_2_3_group_3(A,B) <-> k10_group_3(A,B) = C))))))) # label(d14_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8954 (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,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]. 147.01/145.81 8955 (all A all B all C (l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (r6_group_3(A,B,C) <-> r5_group_3(A,B,C)))) # label(redefinition_r6_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8956 (all A all B all C (v3_group_1(A) & v4_group_1(A) & 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(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8957 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 147.01/145.81 8958 (all A all B all C (v3_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & r2_group_3(B,C,D))) <-> r2_hidden(A,a_2_0_group_3(B,C))))) # label(fraenkel_a_2_0_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8959 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k3_group_2(A,B,k10_group_2(A,D,C)) = k10_group_2(A,D,k3_group_2(A,B,C)))))))))) # label(t9_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8960 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_group_3(A,B,C) -> r1_group_3(A,C,B)))))))) # label(t90_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8961 $T # label(t153_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8962 $T # label(t68_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8963 (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,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]. 147.01/145.81 8964 (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) -> k10_group_3(A,k7_group_2(A,B)) = k11_group_3(A,B))))) # label(d15_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8965 $T # label(t49_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8966 (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_1(A) <-> k7_group_3(A,B) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(t101_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8967 (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))) -> (r1_rlvect_1(k10_group_3(B,C),A) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & k4_group_3(B,C,D) = C & A = D))))))) # label(t154_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8968 $T # label(t48_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8969 (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) -> r5_group_3(A,B,B))))) # label(t122_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8970 (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)) -> (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]. 147.01/145.81 8971 (all A all B all C (v3_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (r4_group_3(A,B,C) -> r4_group_3(A,C,B)))) # label(symmetry_r4_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8972 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v7_group_1(k5_group_2(A)))) # label(t3_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8973 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k4_group_2(A,B,k10_group_2(A,D,C)) = k2_group_2(A,C,k13_group_2(A,D,B)))))))))) # label(t12_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8974 (all A all B all C (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_2_group_3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = k6_domain_1(u1_struct_0(B),D) & r2_hidden(D,k7_group_3(B,C))))))) # label(fraenkel_a_2_2_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8975 (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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r4_group_3(A,C,D) & r4_group_3(A,B,C) -> r4_group_3(A,B,D)))))))))) # label(t107_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8976 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> k11_group_3(A,k5_group_2(A)) = A)) # label(t164_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8977 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,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]. 147.01/145.81 8978 $T # label(t125_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8979 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_group_2(A,k6_group_3(A,k6_group_2(A),B),k6_group_2(A)))))) # label(t82_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8980 (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)) -> 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]. 147.01/145.81 8981 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> k8_group_1(C) = k8_group_1(k6_group_3(A,C,B)))))))) # label(t77_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8982 (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) -> k9_group_1(k6_group_3(A,C,B)) = k9_group_1(C)))))))) # label(t79_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8983 (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,u1_struct_0(A)) -> k3_group_3(A,B,k6_domain_1(u1_struct_0(A),C)) = k4_group_3(A,B,C))))))) # label(d4_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8984 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> 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]. 147.01/145.81 8985 (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) -> 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]. 147.01/145.81 8986 (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_finset_1(k14_group_2(A,k11_group_3(A,B))) | v1_finset_1(k9_group_3(A,B))) & (all C (v1_finset_1(C) -> -(k17_group_2(A,k11_group_3(A,B)) = k4_card_1(C) & k9_group_3(A,B) = C)))))))) # label(t162_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8987 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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_group_3(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),k2_group_3(A,B,D),k2_group_3(A,B,E),k2_group_3(A,C,D),k2_group_3(A,C,E)))))))))))) # label(t47_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8988 (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)) -> (r2_hidden(A,k7_group_3(B,C)) <-> (exists D (A = D & r2_group_3(B,C,D) & m1_subset_1(D,u1_struct_0(B))))))))) # label(t95_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8989 (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) -> (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]. 147.01/145.81 8990 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> a_3_0_group_3(A,B,C) = k3_group_3(A,B,C))))))) # label(d3_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8991 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_group_2(A,k6_group_3(A,B,C),B)))))))) # label(t86_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8992 $T # label(t16_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8993 (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]. 147.01/145.81 8994 (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) -> (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]. 147.01/145.81 8995 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k2_group_3(A,B,C)))))))) # label(t44_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8996 (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) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r2_hidden(B,k9_group_3(A,C)) <-> r6_group_3(A,B,C)))))))) # label(t128_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8997 (all A all B (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(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]. 147.01/145.81 8998 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 8999 (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) -> v1_finset_1(k9_group_3(A,B))))))) # label(t133_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9000 (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)) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) -> k2_group_3(A,B,C) = B))))))) # label(t35_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9001 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v3_group_1(A) -> 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]. 147.01/145.81 9002 (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_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]. 147.01/145.81 9003 (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,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]. 147.01/145.81 9004 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) & v1_group_1(D) -> (k4_group_3(A,k7_group_2(A,B),C) = u1_struct_0(D) <-> D = k6_group_3(A,B,C)))))))))) # label(d6_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9005 (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_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]. 147.01/145.81 9006 $T # label(t110_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9007 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_group_1(A) -> m1_group_2(k10_group_3(A,B),A) & v1_group_1(k10_group_3(A,B)))) # label(dt_k10_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9008 (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) = k13_group_2(A,B,C))) <-> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t140_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9009 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_group_3(A,B,C))))) -> v7_group_1(A)))) # label(t36_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9010 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k10_group_2(A,D,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]. 147.01/145.81 9011 $T # label(t75_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9012 $T # label(t120_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9013 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_xboole_0 != B -> k5_group_3(A,B,C) = k6_domain_1(u1_struct_0(A),C)))))) <-> -v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A)))) # label(t67_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9014 (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,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]. 147.01/145.81 9015 (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_subset_1(C,u1_struct_0(A)) -> m1_group_2(k6_group_3(A,B,C),B))) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t145_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9016 (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))) -> (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]. 147.01/145.81 9017 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k2_group_3(A,D,C) = k2_group_3(A,B,C) -> D = B))))))))) # label(t21_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9018 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (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]. 147.01/145.81 9019 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9020 (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)) -> k4_group_3(A,B,C) = B)))) <-> v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t66_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9021 (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)) -> k5_group_3(A,k7_group_2(A,k6_group_2(A)),B) = a_2_0_group_3(A,B))))) # label(t93_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9022 (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 (m1_subset_1(C,u1_struct_0(A)) -> m1_group_2(B,k6_group_3(A,B,C)))) <-> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t144_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9023 (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))) -> (r2_hidden(A,k8_group_3(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D = A & r4_group_3(B,C,D)))))))) # label(t111_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9024 (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) -> (v1_group_3(B,A) & m1_group_2(B,A) <-> k11_group_3(A,B) = A))))) # label(t163_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9025 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k3_group_3(B,C,D)) <-> (exists E ((exists F (A = k2_group_3(B,E,F) & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t38_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9026 (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))) -> r2_hidden(B,k8_group_3(A,B)))))) # label(t115_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9027 (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))) -> 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]. 147.01/145.81 9028 (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,k1_group_1(A,C,k3_group_1(A,C)),B) = B & B = k1_group_1(A,B,k1_group_1(A,k3_group_1(A,C),C)) & B = k1_group_1(A,C,k1_group_1(A,k3_group_1(A,C),B)) & B = k1_group_1(A,k3_group_1(A,C),k1_group_1(A,C,B)) & k1_group_1(A,B,k1_group_1(A,C,k3_group_1(A,C))) = B & k1_group_1(A,k1_group_1(A,k3_group_1(A,C),C),B) = B & k1_group_1(A,k1_group_1(A,B,k3_group_1(A,C)),C) = B & k1_group_1(A,k1_group_1(A,B,C),k3_group_1(A,C)) = B)))))) # label(t1_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9029 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> C = k4_group_3(A,k4_group_3(A,C,B),k3_group_1(A,B)) & k4_group_3(A,k4_group_3(A,C,k3_group_1(A,B)),B) = C)))))) # label(t63_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9030 $T # label(t69_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9031 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> r2_hidden(A,k1_group_3(A)))) # label(t18_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9032 (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)) -> (r2_group_3(A,B,C) & r2_group_3(A,C,D) -> r2_group_3(A,B,D)))))))))) # label(t91_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9033 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k14_group_2(A,B) = k15_group_2(A,B))))) # label(t150_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9034 (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)) -> r2_hidden(B,k7_group_3(A,B)))))) # label(t98_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9035 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_struct_0(A) -> r4_group_3(A,B,B))) # label(reflexivity_r4_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9036 $T # label(t31_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9037 (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)) -> k2_group_1(A) = k2_group_3(A,k2_group_1(A),B))))) # label(t22_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9038 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r5_group_3(A,C,B) <-> r4_group_3(A,k7_group_2(A,C),k7_group_2(A,B))))))))) # label(t134_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9039 $T # label(t136_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9040 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> -((all D (v1_group_1(D) & m1_group_2(D,A) -> 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]. 147.01/145.81 9041 (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)) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = k6_group_3(A,B,C))) <-> v1_group_3(B,A)))))) # label(d13_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9042 (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)) -> B = k2_group_3(A,k2_group_3(A,B,k3_group_1(A,C)),C) & k2_group_3(A,k2_group_3(A,B,C),k3_group_1(A,C)) = B)))))) # label(t30_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9043 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 != B -> 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]. 147.01/145.81 9044 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & v3_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]. 147.01/145.81 9045 (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) -> 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]. 147.01/145.81 9046 (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,k6_group_3(A,B,k2_group_1(A)),B))))) # label(t73_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9047 $T # label(t103_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9048 (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))) -> (r4_group_3(A,B,C) <-> r2_hidden(B,k8_group_3(A,C))))))))) # label(t113_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9049 (all A (l1_group_1(A) & v4_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]. 147.01/145.81 9050 (all A all B all C all D (v3_group_1(B) & 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_struct_0(B) -> ((exists E exists F (m1_subset_1(F,u1_struct_0(B)) & A = k2_group_3(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_group_3(B,C,D))))) # label(fraenkel_a_3_0_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9051 (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))) -> k8_group_3(A,B) = a_2_1_group_3(A,B))))) # label(d10_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9052 (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) -> (v1_group_3(B,A) & 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)))))))))) # label(t147_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9053 (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)) -> (r1_group_3(A,B,C) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & B = k2_group_3(A,C,D)))))))))) # label(d7_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9054 (all A (v3_group_1(A) & l1_group_1(A) & v4_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]. 147.01/145.81 9055 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(k6_group_3(B,D,C),A) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r1_rlvect_1(D,E) & A = k2_group_3(B,E,C)))))))))) # label(t70_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9056 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> A = k11_group_3(A,k6_group_2(A)))) # label(t165_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9057 (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) -> k11_group_2(A,C,k12_group_2(A,D,B)) = k10_group_2(A,D,k13_group_2(A,C,B)))))))))) # label(t15_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9058 (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)) -> 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]. 147.01/145.81 9059 (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) -> 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]. 147.01/145.81 9060 (all A all B all C (v4_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r6_group_3(A,B,B))) # label(reflexivity_r6_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9061 (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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & r1_tarski(D,E) -> r1_tarski(k2_group_2(A,B,D),k2_group_2(A,C,E))))))))))))) # label(t4_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 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)) -> B = k2_group_3(A,B,B))))) # label(t25_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9063 (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,B,C) = k1_group_1(A,C,B) <-> B = k2_group_3(A,B,C)))))))) # label(t27_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9064 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_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]. 147.01/145.81 9065 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (v1_binop_1(u1_group_1(A),u1_struct_0(A)) <-> -v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A)))) # label(t2_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9066 (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)) -> (r2_group_3(A,k2_group_1(A),B) | r2_group_3(A,B,k2_group_1(A)) -> k2_group_1(A) = B))))) # label(t92_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9067 $T # label(t37_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9068 (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(k4_group_2(A,B,C),k4_group_2(A,B,D)) & r1_tarski(k3_group_2(A,B,C),k3_group_2(A,B,D))))))))))) # label(t5_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9069 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (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]. 147.01/145.81 9070 (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))) -> 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]. 147.01/145.81 9071 (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_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]. 147.01/145.81 9072 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & r1_group_2(B,k6_group_3(B,C,D),C) & A = D)) <-> r1_rlvect_1(k11_group_3(B,C),A)))))) # label(t160_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9073 (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) -> (v1_group_3(B,A) & m1_group_2(B,A) <-> k9_group_3(A,B) = k1_tarski(B)))))) # label(t146_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9074 (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) -> (k6_group_3(A,C,B) = A -> A = C))))))) # label(t83_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9075 (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))) -> k2_group_2(A,C,k7_group_3(A,B)) = k2_group_2(A,k7_group_3(A,B),C))))))) # label(t102_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9076 (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)) -> 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]. 147.01/145.81 9077 (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))) -> (r3_group_3(A,B,C) -> r3_group_3(A,C,B)))))))) # label(t106_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9078 (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) -> 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]. 147.01/145.81 9079 (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) -> (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]. 147.01/145.81 9080 (all A all B all C (v3_group_1(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & D = A & C = k4_group_3(B,C,D))) <-> r2_hidden(A,a_2_3_group_3(B,C))))) # label(fraenkel_a_2_3_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9081 (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))) -> (v6_group_1(A) -> v1_finset_1(k8_group_3(A,B))))))) # label(t119_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9082 (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) -> k11_group_2(A,D,k3_group_2(A,B,C)) = k2_group_2(A,k13_group_2(A,D,B),C))))))))) # label(t13_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9083 (all A all B all C (v4_group_1(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_group_3(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r4_group_3(B,C,D) & A = D))))) # label(fraenkel_a_2_1_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9084 (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)) -> (k7_group_3(A,B) = k7_group_3(A,C) <-> -r1_xboole_0(k7_group_3(A,B),k7_group_3(A,C))))))))) # label(t100_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9085 $T # label(t17_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9086 (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))) -> k4_group_3(A,B,k2_group_1(A)) = B)))) # label(t61_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9087 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k12_group_2(A,D,B),C) = k3_group_2(A,B,k11_group_2(A,D,C)))))))))) # label(t11_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.81 9088 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r3_group_3(A,B,C) <-> (exists D (C = k4_group_3(A,B,D) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(t104_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9089 (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,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]. 147.01/145.82 9090 (all A (l1_group_1(A) & v4_group_1(A) & v3_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_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> (exists D (v1_group_1(D) & 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_3(D,A))))))))) # label(t149_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9091 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (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]. 147.01/145.82 9092 (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]. 147.01/145.82 9093 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k6_group_3(A,B,C),A) & v1_group_1(k6_group_3(A,B,C)))) # label(dt_k6_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9094 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v1_group_3(B,A) & m1_group_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k11_group_2(A,B,C) = k10_group_2(A,B,C)))))))) # label(t143_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9095 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (k1_group_3(A) = B <-> (all C (m1_group_2(C,A) & v1_group_1(C) <-> r2_hidden(C,B))))))) # label(d1_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9096 (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,k1_zfmisc_1(k1_group_3(A))) -> (k9_group_3(A,B) = C <-> (all D ((exists E (v1_group_1(E) & E = D & r5_group_3(A,B,E) & m1_group_2(E,A))) <-> r2_hidden(D,C)))))))))) # label(d12_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9097 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_card_1(k7_group_3(A,B)) = k16_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))))))) # label(t157_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9098 $T # label(t64_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9099 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_group_3(A,k6_domain_1(u1_struct_0(A),B),k7_domain_1(u1_struct_0(A),C,D)) = k7_domain_1(u1_struct_0(A),k2_group_3(A,B,C),k2_group_3(A,B,D)))))))))) # label(t45_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9100 $T # label(t159_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9101 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k4_group_3(B,D,C)) <-> (exists E (r2_hidden(E,D) & A = k2_group_3(B,E,C) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t50_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9102 (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)) -> 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]. 147.01/145.82 9103 (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))) -> 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]. 147.01/145.82 9104 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (r5_group_3(A,B,C) -> r5_group_3(A,C,B)))))))) # label(t123_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 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)) -> k2_group_3(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C) & k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C)) = k2_group_3(A,B,C))))))) # label(t20_group_3) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9106 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) -> ((all F (m1_subset_1(F,B) -> (r2_hidden(F,C) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),D,F),k8_funct_2(B,u1_struct_0(A),E,F))))) -> C = k1_xboole_0 | r3_lattices(A,k2_lattice2(B,A,C,D),k2_lattice2(B,A,C,E))))))))))))) # label(t48_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9107 (all A (v10_lattices(A) & l3_lattices(A) & v14_lattices(A) & -v3_struct_0(A) -> k5_lattices(k1_lattice2(A)) = k6_lattices(A))) # label(t79_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9108 (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_2(D,B,u1_struct_0(A)) & m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_1(D) -> (all E (v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_1(E) -> (k2_partfun1(B,u1_struct_0(A),D,C) = k2_partfun1(B,u1_struct_0(A),E,C) -> k2_lattice2(B,A,C,D) = k2_lattice2(B,A,C,E) | C = k1_xboole_0))))))))))) # label(t49_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9109 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (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 & E = C -> r3_lattices(k1_lattice2(A),E,D))))))))))))) # label(t53_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9110 (exists A (v3_lattices(A) & v6_lattices(A) & v7_lattices(A) & v10_lattices(A) & v1_lattice2(A) & v3_filter_0(A) & v13_lattices(A) & v9_lattices(A) & v8_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9111 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v13_lattices(C) & l3_lattices(C) & v11_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 (m1_subset_1(E,u1_struct_0(C)) -> k2_lattice2(A,C,B,k8_funcop_1(u1_struct_0(C),A,u1_lattices(C),E,D)) = 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)))))))))))) # label(t81_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9112 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & l3_lattices(A) & v10_lattices(A) <-> l3_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A))))) # label(t65_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9113 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v2_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t32_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9114 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (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 & B = D -> k4_lattices(A,B,C) = k3_lattices(k1_lattice2(A),D,E) & k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,B,C)))))))))))) # label(t52_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9115 (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(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (r3_lattices(k1_lattice2(A),D,E) & B = D & E = C -> r3_lattices(A,C,B)))))))))))) # label(t54_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9116 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_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,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]. 147.01/145.82 9117 (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) -> C = k1_relat_1(k2_partfun1(A,B,D,C)))))))) # label(t2_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9118 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9119 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((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)))) <-> r1_lattice2(A,B,C)))))))) # label(d1_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9120 (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) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> k8_funct_2(C,u1_struct_0(A),E,F) = B))) -> B = k2_lattice2(C,A,D,E) | D = k1_xboole_0))))))))))) # label(t45_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9121 (all A all B all C all D (-v1_xboole_0(A) & -v3_struct_0(B) & l3_lattices(B) & v1_funct_2(D,A,u1_struct_0(B)) & m1_relset_1(D,A,u1_struct_0(B)) & v1_funct_1(D) & m1_subset_1(C,k5_finsub_1(A)) & v10_lattices(B) -> m1_subset_1(k2_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k2_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9122 (all A (-v1_xboole_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,u1_struct_0(k1_lattice2(B))) & v1_funct_2(E,A,u1_struct_0(k1_lattice2(B))) & v1_funct_1(E) -> (E = D -> k3_lattice2(A,k1_lattice2(B),C,E) = k2_lattice2(A,B,C,D) & k2_lattice2(A,k1_lattice2(B),C,E) = k3_lattice2(A,B,C,D)))))))))))) # label(t51_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9123 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) & v11_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v9_lattices(A) & v10_lattices(A) & v1_lattice2(A) & v3_filter_0(A) & v13_lattices(A) & v8_lattices(A) & v7_lattices(A)))) # label(cc6_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9124 (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)) -> C = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C))) -> k6_lattices(A) = B))))) # label(t25_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9125 (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)) -> (D != k1_xboole_0 -> 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]. 147.01/145.82 9126 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9127 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t40_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9128 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v13_lattices(k1_lattice2(A)) <-> v14_lattices(A)))) # label(t64_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9129 $T # label(t23_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9130 (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) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (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]. 147.01/145.82 9131 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u2_lattices(A)))) # label(t34_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9132 (all A (-v3_struct_0(A) & l2_lattices(A) & v4_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_relat_1(u2_lattices(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9133 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v13_lattices(A) -> v1_setwiseo(u2_lattices(A),u1_struct_0(A)))) # label(t67_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9134 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u2_lattices(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9135 (all A (-v3_struct_0(A) & l3_lattices(A) -> u1_struct_0(A) = u1_struct_0(k1_lattice2(A)) & u2_lattices(A) = u1_lattices(k1_lattice2(A)) & u1_lattices(A) = u2_lattices(k1_lattice2(A)))) # label(t18_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9136 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v6_group_1(A) -> v5_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc4_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9137 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & l3_lattices(A) & v11_lattices(A) & v10_lattices(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(t35_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9138 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(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]. 147.01/145.82 9139 (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_1(D) & m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) -> (all E (m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) & v1_funct_1(E) -> ((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,k3_lattice2(B,A,C,D),k3_lattice2(B,A,C,E)) | k1_xboole_0 = C))))))))))) # label(t62_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9140 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v10_lattices(A) & l3_lattices(A) & v11_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A))))) # label(t37_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9141 $T # label(t1_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9142 (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)) -> ((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]. 147.01/145.82 9143 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k6_lattices(A) = k3_binop_1(u1_struct_0(A),u1_lattices(A)))) # label(t74_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9144 (all A (-v3_struct_0(A) & v3_lattices(A) & l3_lattices(A) -> k1_lattice2(k1_lattice2(A)) = A)) # label(t19_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9145 (all A (l1_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)) & v1_relat_1(u1_lattices(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9146 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> v5_lattices(A) & v8_lattices(A) & v10_lattices(A) & v1_lattice2(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9147 (all A (l3_lattices(A) & v10_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]. 147.01/145.82 9148 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (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]. 147.01/145.82 9149 $T # label(d5_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9150 (all A (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_binop_1(u1_struct_0(A),u2_lattices(A)) = k5_lattices(A))) # label(t68_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9151 (all A all B (-v1_xboole_0(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) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> (k2_partfun1(A,B,C,E) = k2_partfun1(A,B,D,E) -> k2_funct_2(A,B,C,E) = k2_funct_2(A,B,D,E)))))))))) # label(t16_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9152 $T # label(t20_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9153 (all A (l3_lattices(A) -> l3_lattices(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9154 (all A (l3_lattices(A) -> (v10_lattices(A) & v6_group_1(A) & -v3_struct_0(A) -> v4_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v10_lattices(A) & v7_lattices(A) & v5_lattices(A) & -v3_struct_0(A)))) # label(cc5_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9155 (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 = k3_lattices(A,B,C))) -> k5_lattices(A) = B))))) # label(t21_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9156 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v6_group_1(A) <-> v6_group_1(k1_lattice2(A))))) # label(t85_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9157 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v1_lattice2(A) <-> v3_filter_0(A) & v13_lattices(A)))) # label(d6_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9158 (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 (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (all F (m1_subset_1(F,u1_struct_0(C)) -> ((all G (m1_subset_1(G,A) -> (r2_hidden(G,B) -> k8_funct_2(A,u1_struct_0(C),D,G) = k4_lattices(C,F,k8_funct_2(A,u1_struct_0(C),E,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]. 147.01/145.82 9159 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(D,F) = k1_funct_1(E,F)))) -> E = k1_funct_4(E,k2_partfun1(A,B,D,C))))))))))) # label(t10_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9160 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v1_setwiseo(u1_lattices(A),u1_struct_0(A)))) # label(t73_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9161 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (l3_lattices(C) & v14_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (k2_partfun1(A,u1_struct_0(C),D,B) = k2_partfun1(A,u1_struct_0(C),E,B) -> k3_lattice2(A,C,B,E) = k3_lattice2(A,C,B,D)))))))))))) # label(t75_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9162 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (l3_lattices(C) & v13_lattices(C) & v11_lattices(C) & v10_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)) -> k2_lattice2(A,C,B,k8_funcop_1(u1_struct_0(C),A,u1_lattices(C),E,D)) = k4_lattices(C,E,k2_lattice2(A,C,B,D)))))))))))) # label(t83_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9163 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v13_lattices(A) -> k6_lattices(k1_lattice2(A)) = k5_lattices(A))) # label(t78_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9164 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F))))) -> k1_xboole_0 = D | r3_lattices(A,B,k3_lattice2(C,A,D,E))))))))))))) # label(t61_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9165 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v13_lattices(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,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]. 147.01/145.82 9166 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> ((exists F (m1_subset_1(F,C) & r2_hidden(F,D) & r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B))) -> r3_lattices(A,k3_lattice2(C,A,D,E),B)))))))))))) # label(t56_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 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 (-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) -> k8_funct_2(C,u1_struct_0(A),E,F) = B))) -> k3_lattice2(C,A,D,E) = B | D = k1_xboole_0))))))))))) # label(t57_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9168 (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 (v1_funct_1(D) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) -> (all E (m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_2(E,A,u1_struct_0(C)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),k8_funct_2(A,u1_struct_0(C),E,F))))) -> r3_lattices(C,k3_lattice2(A,C,B,D),k3_lattice2(A,C,B,E))))))))))))) # label(t77_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9169 (all A all B all C all D (-v1_xboole_0(A) & l3_lattices(B) & m1_subset_1(C,k5_finsub_1(A)) & v1_funct_2(D,A,u1_struct_0(B)) & m1_relset_1(D,A,u1_struct_0(B)) & v1_funct_1(D) & v10_lattices(B) & -v3_struct_0(B) -> m1_subset_1(k3_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k3_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9170 (all A (l2_lattices(A) & v5_lattices(A) & -v3_struct_0(A) -> v2_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t29_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9171 $T # label(t11_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9172 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_binop_1(u1_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)) -> v10_lattices(A)))) # label(t17_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9173 (all A (-v3_struct_0(A) & l2_lattices(A) & v4_lattices(A) -> v1_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t27_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9174 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> r3_binop_1(u1_struct_0(A),k6_lattices(A),u1_lattices(A)))) # label(t72_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9175 (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) -> D = k1_funct_4(D,k2_partfun1(A,B,D,C)))))))) # label(t9_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9176 (all A (v10_lattices(A) & l3_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]. 147.01/145.82 9177 (all A (-v1_xboole_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m2_relset_1(D,A,u1_struct_0(B)) -> k2_lattice2(A,B,C,D) = k7_setwiseo(A,u1_struct_0(B),u2_lattices(B),C,D))))))))) # label(d3_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9178 $T # label(t4_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9179 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(B,A) -> A = k1_funct_4(A,B)))))) # label(t8_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9180 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v1_setwiseo(u1_lattices(A),u1_struct_0(A)) -> k6_lattices(A) = k3_binop_1(u1_struct_0(A),u1_lattices(A))))) # label(t33_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9181 (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,B,C) = C)) -> k6_lattices(A) = B))))) # label(t24_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9182 (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)) -> 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]. 147.01/145.82 9183 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((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]. 147.01/145.82 9184 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> (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]. 147.01/145.82 9185 (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_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]. 147.01/145.82 9186 (all A (v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r3_binop_1(u1_struct_0(A),k5_lattices(A),u2_lattices(A)))) # label(t66_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9187 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) -> -v3_struct_0(A) & v7_lattices(A) & v10_lattices(A) & v13_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A)))) # label(cc3_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9188 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> v11_lattices(A)))) # label(t36_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9189 (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) & v10_lattices(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,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]. 147.01/145.82 9190 (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]. 147.01/145.82 9191 (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 (m1_subset_1(D,k5_finsub_1(A)) -> D = k1_relat_1(k2_partfun1(A,B,C,D)))))))) # label(t13_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9192 (all A (v11_lattices(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t80_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9193 (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) & v14_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 (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]. 147.01/145.82 9194 (all A (v7_lattices(A) & l1_lattices(A) & -v3_struct_0(A) -> v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_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]. 147.01/145.82 9195 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v3_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t30_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9196 (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(C,F) = k1_funct_1(D,F)))) -> k1_funct_4(D,k2_partfun1(A,B,C,E)) = D))))))))) # label(t14_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9197 (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_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (k2_partfun1(A,u1_struct_0(C),D,B) = k2_partfun1(A,u1_struct_0(C),E,B) -> k2_lattice2(A,C,B,E) = k2_lattice2(A,C,B,D)))))))))))) # label(t69_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9198 (exists A (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v1_lattice2(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & l3_lattices(A))) # label(rc1_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.82 9199 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t31_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9200 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) <-> v14_lattices(k1_lattice2(A))))) # label(t63_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9201 (all A (l3_lattices(A) -> (v1_lattice2(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v8_lattices(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A)))) # label(cc1_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9202 $T # label(t42_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9203 (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)) -> (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]. 147.01/145.83 9204 (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) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(D,F) = k1_funct_1(E,F)))) <-> k2_partfun1(A,B,E,C) = k2_partfun1(A,B,D,C)))))))))) # label(t5_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9205 (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)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists 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)))) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v10_lattices(A) & v1_lattice2(A) & l3_lattices(A) & -v3_struct_0(A)))) # label(t84_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9206 $T # label(t3_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9207 (all A (l3_lattices(A) & -v3_struct_0(A) -> v3_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9208 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_1(E) -> (D != k1_xboole_0 -> k3_lattices(A,B,k2_lattice2(C,A,D,E)) = k2_lattice2(C,A,D,k8_funcop_1(u1_struct_0(A),C,u2_lattices(A),B,E))))))))))))) # label(t50_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9209 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_2(D,A,u1_struct_0(B)) & v1_funct_1(D) -> 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]. 147.01/145.83 9210 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> E = k1_funct_4(k2_partfun1(A,B,D,C),E))))))))) # label(t7_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9211 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) -> (r2_hidden(C,D) -> r3_lattices(A,k3_lattice2(B,A,D,E),k8_funct_2(B,u1_struct_0(A),E,C))))))))))))) # label(t55_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9212 $T # label(t15_lattice2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9213 (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]. 147.01/145.83 9214 (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_group_2(D,A) & v1_group_1(D) -> (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]. 147.01/145.83 9215 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> ((exists C (C = A & (exists D (v2_group_4(D,B) & u1_struct_0(D) = C & m1_group_2(D,B) & v1_group_1(D))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_1_0_group_4(B))))) # label(fraenkel_a_1_0_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9216 $T # label(t2_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9217 (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) & v1_group_3(C,A) & m1_group_2(C,A) -> k7_group_4(A,C,B) = k7_group_4(A,B,C))))))) # label(t64_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9218 $T # label(t50_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9219 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (v4_group_1(A) & l1_group_1(A) & k3_finseq_1(D) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k1_group_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),k4_finseq_4(k5_numbers,u1_struct_0(A),D,E)) = k1_funct_1(B,E)))) & k3_finseq_1(B) = k3_finseq_1(C) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k1_group_1(A,k3_group_4(A,C),k3_group_4(A,D)) = k3_group_4(A,B)))))))))) # label(t20_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9220 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A)) = k11_group_4(A))) # label(d13_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9221 $T # label(t96_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9222 (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 (v1_group_1(C) & m1_group_2(C,A) -> (C = k5_group_4(A,B) <-> (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))))))))) # label(d5_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9223 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_group_4(A,k12_finseq_1(u1_struct_0(A),B)) = B)))) # label(t12_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9224 (exists A (v1_group_1(A) & m1_group_2(A,f1_s1_group_4) & p1_s1_group_4(A))) -> (exists A (v1_group_1(A) & m1_group_2(A,f1_s1_group_4) & u1_struct_0(A) = k1_setfam_1(a_0_0_group_4))) # label(s1_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9225 (all A all B (v4_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k5_group_4(A,B),A) & v1_group_1(k5_group_4(A,B)))) # label(dt_k5_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9226 (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) & v1_group_1(C) -> 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]. 147.01/145.83 9227 (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 (v1_group_1(C) & m1_group_2(C,A) -> -v2_group_4(C,A))) -> r1_rlvect_1(k6_group_4(A),B)))))) # label(t53_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9228 (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) -> 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]. 147.01/145.83 9229 (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)) -> 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]. 147.01/145.83 9230 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (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 (m2_finseq_1(E,u1_struct_0(A)) & (exists F (k3_finseq_1(E) = k3_finseq_1(F) & r1_tarski(k2_relat_1(E),k4_subset_1(u1_struct_0(A),k7_group_2(A,C),k7_group_2(A,D))) & B = k3_group_4(A,k4_group_4(A,F,E)) & m2_finseq_1(F,k4_numbers)))))))))))))) # label(t67_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9231 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (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]. 147.01/145.83 9232 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> -v1_group_4(k2_group_1(A),A))) # label(t46_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9233 (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) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C)))))))) # label(t70_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9234 $T # label(t49_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9235 (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))) -> (r1_rlvect_1(k5_group_4(A,C),B) <-> (exists D (m2_finseq_1(D,u1_struct_0(A)) & (exists E (m2_finseq_1(E,k4_numbers) & B = k3_group_4(A,k4_group_4(A,E,D)) & r1_tarski(k2_relat_1(D),C) & k3_finseq_1(E) = k3_finseq_1(D)))))))))))) # label(t37_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9236 (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) -> 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]. 147.01/145.83 9237 $T # label(t66_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9238 $T # label(t35_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9239 (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(B,C) <-> r1_group_2(A,k8_group_4(A,B,C),C)))))))) # label(t79_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9240 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k10_group_4(A) = u1_lattices(k11_group_4(A)))) # label(t94_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9241 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k4_group_4(A,k1_finsop_1(k4_numbers,k3_finseq_1(B),k2_group_4(np__1)),B) = B)))) # label(t31_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9242 (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]. 147.01/145.83 9243 (all A all B all C (l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k7_group_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9244 (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_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]. 147.01/145.83 9245 $T # label(d1_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9246 (all A (l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),C))) = k1_group_1(A,k3_group_4(A,B),C))))))) # label(t9_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9247 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> ((all C (m1_group_2(C,A) & v1_group_1(C) -> -v2_group_4(C,A))) -> (g1_group_1(u1_struct_0(A),u1_group_1(A)) = B <-> k6_group_4(A) = B)) & ((exists C (v1_group_1(C) & v2_group_4(C,A) & m1_group_2(C,A))) -> (k6_group_4(A) = B <-> u1_struct_0(B) = k1_setfam_1(a_1_0_group_4(A)))))))) # label(d8_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9248 (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) -> (v2_group_4(B,A) -> m1_group_2(k6_group_4(A),B)))))) # label(t54_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9249 $T # label(t7_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9250 (all A (l1_group_1(A) & v4_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,k3_group_4(A,B)) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),C),B)))))))) # label(t10_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9251 (all A (v2_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k1_group_1(A,k3_group_4(A,B),k3_group_4(A,C)) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,C)))))))) # label(t8_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9252 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k6_group_1(B,A,C) = k6_group_1(D,A,E)))))))))))) # label(t3_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9253 (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)) -> (-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & v2_funct_1(B) & k2_relat_1(C) = k2_relat_1(B) & v2_funct_1(C) & l1_group_1(A) & v4_group_1(A) -> k3_group_4(A,C) = k3_group_4(A,B)))))))) # label(t19_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9254 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v2_group_4(B,A) -> r1_rlvect_1(B,C) | 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)))))))))) # label(t48_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9255 (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) -> k11_group_2(A,B,k7_group_4(A,C,D)) = k10_group_2(A,D,k7_group_4(A,B,C)))))))))) # label(t59_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9256 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r1_rlvect_1(k6_group_4(A),B) <-> -v1_group_4(B,A)))))) # label(t56_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9257 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all 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)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (F = D & C = E -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k9_group_2(A,E,F)))))))))) <-> B = k10_group_4(A)))))) # label(d12_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9258 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(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)) -> k1_funct_1(D,E) = k6_group_1(A,k2_group_4(k4_finseq_4(k5_numbers,k4_numbers,B,E)),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)))))))))))))) # label(d4_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9259 (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_setfam_1(a_2_0_group_4(A,B)) = u1_struct_0(k5_group_4(A,B)))))) # label(t43_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9260 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k11_group_2(A,C,k13_group_2(A,D,B)) = k4_group_2(A,B,k7_group_4(A,C,D)))))))))) # label(t61_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9261 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v4_group_1(D) & l1_group_1(D) & v3_group_1(D) & -v3_struct_0(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]. 147.01/145.83 9262 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v5_lattices(k11_group_4(A)) & v9_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A)) & v15_lattices(k11_group_4(A)) & v13_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v8_lattices(k11_group_4(A)) & v7_lattices(k11_group_4(A)) & v6_lattices(k11_group_4(A)) & v4_lattices(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & -v3_struct_0(k11_group_4(A)))) # label(fc1_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9263 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k2_group_2(A,B,k7_group_4(A,C,D)) = k10_group_2(A,D,k10_group_2(A,C,B)))))))))) # label(t62_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9264 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_group_4(A,k8_rlvect_1(A,B,C,D)) = k1_group_1(A,B,k1_group_1(A,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]. 147.01/145.83 9265 (all A all B all C (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & (exists E (v1_group_1(E) & m1_group_2(E,B) & r1_tarski(C,k7_group_2(B,E)) & D = u1_struct_0(E))) & D = A)) <-> r2_hidden(A,a_2_0_group_4(B,C))))) # label(fraenkel_a_2_0_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9266 $T # label(t89_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9267 $T # label(t90_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9268 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_funct_2(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(k9_group_4(A)))) # label(dt_k9_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9269 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k3_group_2(A,B,k7_group_4(A,C,D)) = k10_group_2(A,D,k12_group_2(A,C,B)))))))))) # label(t60_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9270 (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) -> 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]. 147.01/145.83 9271 (exists A (r1_tarski(A,k1_group_3(f1_s2_group_4)) & (all B (m1_group_2(B,f1_s2_group_4) & v1_group_1(B) -> (r2_hidden(B,A) <-> p1_s2_group_4(B)))))) # label(s2_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9272 (all A all B all C (v3_group_1(A) & l1_group_1(A) & m1_finseq_1(B,k4_numbers) & m1_finseq_1(C,u1_struct_0(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]. 147.01/145.83 9273 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_group_2(A,k5_group_4(A,B),k5_group_4(A,k6_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k2_group_1(A))))))))) # label(t44_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9274 $T # label(t22_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9275 (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) -> k7_group_4(A,B,B) = k7_group_2(A,B))))) # label(t58_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9276 (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) -> r1_group_2(A,k8_group_4(A,B,B),B))))) # label(t73_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9277 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> k1_group_3(A) = u1_struct_0(k11_group_4(A)))) # label(t92_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9278 (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) -> (k7_group_4(A,C,B) = k7_group_4(A,B,C) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C)))))))) # label(t69_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9279 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> u2_lattices(k11_group_4(A)) = k9_group_4(A))) # label(t93_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9280 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,C) -> m1_group_2(B,k8_group_4(A,C,D))))))))))) # label(t80_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9281 (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 (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]. 147.01/145.83 9282 $T # label(t23_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9283 $T # label(t1_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9284 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v10_lattices(k11_group_4(A)) & l3_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]. 147.01/145.83 9285 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_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]. 147.01/145.83 9286 (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)) -> k12_finseq_1(u1_struct_0(B),k6_group_1(B,A,C)) = k4_group_4(B,k12_finseq_1(k4_numbers,k2_group_4(A)),k12_finseq_1(u1_struct_0(B),C)))))))) # label(t28_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9287 $T # label(t95_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9288 (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]. 147.01/145.83 9289 (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) -> 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]. 147.01/145.83 9290 (all A all B (m1_finseq_1(B,u1_struct_0(A)) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_4(A,B),u1_struct_0(A)))) # label(dt_k3_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9291 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> r1_group_2(A,k5_group_4(A,k7_group_2(A,B)),B))))) # label(t40_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9292 (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]. 147.01/145.83 9293 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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]. 147.01/145.83 9294 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> k5_group_2(A) = k5_lattices(k11_group_4(A)))) # label(t98_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9295 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(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]. 147.01/145.83 9296 (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]. 147.01/145.83 9297 (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_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C))))))) # label(t71_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9298 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,k5_group_4(A,k1_subset_1(u1_struct_0(A))),k5_group_2(A)))) # label(t39_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9299 (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,k9_group_2(A,B,C),B) <-> r1_group_2(A,k8_group_4(A,B,C),C)))))))) # label(t86_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9300 (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))) -> (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]. 147.01/145.83 9301 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k4_group_4(A,k6_finseq_1(k4_numbers),k6_finseq_1(u1_struct_0(A))) = k1_xboole_0)) # label(t27_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9302 (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_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]. 147.01/145.83 9303 (all A (v1_int_1(A) -> (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)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> k4_group_4(C,k2_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B)),k7_rlvect_1(C,D,E)) = k7_rlvect_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)))))))))))) # label(t29_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9304 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all D (v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & m2_relset_1(D,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_1(D) -> (C = k5_relat_1(D,B) -> k3_group_4(A,B) = k3_group_4(A,C))))))))))) # label(t18_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9305 (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)) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & k5_group_4(A,C) = g1_group_1(u1_struct_0(A),u1_group_1(A)) & 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))))) <-> v1_group_4(B,A)))))) # label(d6_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9306 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_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]. 147.01/145.83 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_group_2(C,A) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k7_group_4(A,C,D),B) = k11_group_2(A,C,k11_group_2(A,D,B)))))))))) # label(t63_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9308 (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]. 147.01/145.83 9309 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> 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_finseq_1(B) = k3_finseq_1(C) -> k3_group_4(A,B) = k3_group_1(A,k3_group_4(A,C))))))))) # label(t17_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9310 (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)) -> (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(E) = k3_finseq_1(C) -> k8_finseq_1(u1_struct_0(A),k4_group_4(A,D,B),k4_group_4(A,E,C)) = k4_group_4(A,k8_finseq_1(k4_numbers,D,E),k8_finseq_1(u1_struct_0(A),B,C))))))))))))) # label(t25_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9311 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k2_finsop_1(u1_struct_0(A),B,u1_group_1(A)) = k3_group_4(A,B))))) # label(d3_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9312 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_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]. 147.01/145.83 9313 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> a_1_1_group_4(A) = u1_struct_0(k6_group_4(A)))) # label(t55_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9314 $T # label(t24_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9315 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_rlvect_1(k5_group_4(A,C),B)))))))) # label(t38_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9316 $T # label(t36_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9317 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> 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]. 147.01/145.83 9318 (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) -> k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k7_group_4(A,B,C) & k7_group_4(A,B,C) = k11_group_2(A,B,k7_group_2(A,C)) & k7_group_4(A,B,C) = k10_group_2(A,C,k7_group_2(A,B)))))))) # label(t57_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9319 (all A all B all C (v4_group_1(A) & l1_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k8_group_4(A,B,C),A) & v1_group_1(k8_group_4(A,B,C)))) # label(dt_k8_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9320 $T # label(t88_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9321 $T # label(t97_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9322 (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))) -> 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]. 147.01/145.83 9323 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> v1_group_3(k8_group_4(A,B,C),A) & m1_group_2(k8_group_4(A,B,C),A))))))) # label(t72_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9324 $T # label(t45_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9325 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_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]. 147.01/145.83 9326 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_1(k10_group_4(A)) & v1_funct_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) # label(dt_k10_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9327 $T # label(t91_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9328 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (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]. 147.01/145.83 9329 (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 (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> ((exists D (m1_group_2(D,C) & v2_group_4(D,C) & v1_group_1(D))) -> (r1_rlvect_1(k6_group_4(C),B) <-> (all D (v1_group_1(D) & m1_group_2(D,C) -> (v2_group_4(D,C) -> r1_rlvect_1(D,B)))))))))))) # label(t52_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9330 $T # label(t51_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9331 (all A (l1_group_1(A) & v4_group_1(A) & v3_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]. 147.01/145.83 9332 (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) -> 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]. 147.01/145.83 9333 $T # label(t47_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9334 $T # label(t34_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9335 (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_group_2(A,k8_group_4(A,k6_group_2(A),B),k6_group_2(A)) & r1_group_2(A,k8_group_4(A,B,k6_group_2(A)),k6_group_2(A)))))) # label(t77_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9336 (all A (r2_hidden(A,a_0_0_group_4) <-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_group_4))) & A = B & (exists C (v1_group_1(C) & m1_group_2(C,f1_s1_group_4) & u1_struct_0(C) = B & p1_s1_group_4(C))))))) # label(fraenkel_a_0_0_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9337 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (r2_hidden(A,a_1_1_group_4(B)) <-> (exists C (-v1_group_4(C,B) & C = A & m1_subset_1(C,u1_struct_0(B))))))) # label(fraenkel_a_1_1_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9338 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (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(t4_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9339 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (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]. 147.01/145.83 9340 (all A (v1_int_1(A) -> k2_group_4(A) = A)) # label(d2_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9341 $T # label(t87_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9342 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) -> (B = k9_group_4(A) <-> (all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (F = D & E = C -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k8_group_4(A,E,F))))))))))))))) # label(d11_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 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) & 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]. 147.01/145.83 9344 (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) -> (g1_group_1(u1_struct_0(B),u1_group_1(B)) != g1_group_1(u1_struct_0(A),u1_group_1(A)) & (all C (v1_group_1(C) & m1_group_2(C,A) -> (m1_group_2(B,C) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = C | g1_group_1(u1_struct_0(B),u1_group_1(B)) = C))) <-> v2_group_4(B,A)))))) # label(d7_group_4) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9345 (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))) -> (v4_pre_topc(C,A) & r2_hidden(B,C) & r1_tarski(C,k1_connsp_2(A,B)) & v3_pre_topc(C,A) -> C = k1_connsp_2(A,B)))))))) # label(t31_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9346 $T # label(t1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9347 $T # label(t15_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9348 $T # label(t17_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9349 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (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]. 147.01/145.83 9350 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (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]. 147.01/145.83 9351 $T # label(t2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9352 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) -> (all C (m2_connsp_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9353 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all C (m1_connsp_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 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))) -> (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(k5_subset_1(u1_struct_0(A),C,D),A,B)))))))))) # label(t4_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9355 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != B & C != k2_pre_topc(A) & 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)))))) <-> v5_compts_1(A)))) # label(t26_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9356 (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(k1_zfmisc_1(u1_struct_0(A)))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> v3_pre_topc(D,A) & v4_pre_topc(D,A) & r2_hidden(B,D)))) & C = k1_xboole_0))))))) # label(t28_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9357 (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) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & r2_hidden(B,D) & r1_tarski(D,C)))))))))) # label(t8_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9358 (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) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> -(v2_connsp_1(C,k3_pre_topc(A,B)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & v2_connsp_1(D,A) & k5_subset_1(u1_struct_0(A),B,D) = C))) & v3_pre_topc(C,k3_pre_topc(A,B)))))))))) # label(t25_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.83 9359 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists C m1_connsp_2(C,A,B)))) # label(existence_m1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9360 (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)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -((all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,D))) -> -(r1_connsp_2(k3_pre_topc(A,D),E) & C = E))) & D = B))) <-> r2_connsp_2(A,B,C)))))))) # label(d5_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9361 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v5_compts_1(A) & v1_connsp_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(B != k1_xboole_0 & k1_xboole_0 != C & v2_connsp_1(B,A) & v2_connsp_1(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_connsp_1(D,A) & v2_connsp_1(E,A) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,D) & r1_xboole_0(D,E) & r1_tarski(C,E)))))) & r1_xboole_0(B,C) & v4_pre_topc(C,A) & v4_pre_topc(B,A))))))))) # label(t27_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9362 (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)) -> -(r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,B) & m1_connsp_2(D,A,C))))))) <-> v3_pre_topc(B,A)))))) # label(t9_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9363 (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))) -> (v1_connsp_2(k3_pre_topc(A,B)) <-> v2_connsp_2(B,A)))))) # label(d6_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9364 (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)) -> (m1_connsp_2(B,A,C) -> r2_hidden(C,B)))))))) # label(t6_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9365 (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))) -> (r2_hidden(B,k1_tops_1(A,C)) <-> m1_connsp_2(C,A,B)))))))) # label(d1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 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_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))) -> -(v2_connsp_1(D,A) & r1_tarski(D,C) & m1_connsp_2(D,A,B)))) & m1_connsp_2(C,A,B))))))))) # label(d3_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9367 (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(B,k1_tops_1(A,C)) <-> m2_connsp_2(C,A,B)))))))) # label(d2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9368 (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))) -> (all C (m1_subset_1(C,u1_struct_0(k3_pre_topc(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (v3_pre_topc(B,A) & F = C & E = D & m1_connsp_2(D,k3_pre_topc(A,B),C) -> m1_connsp_2(E,A,F)))))))))))))) # label(t11_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 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)) -> r1_tarski(k1_connsp_1(A,B),k1_connsp_2(A,B)))))) # label(t33_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9370 (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 (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & 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) <-> v4_pre_topc(E,A) & r2_hidden(B,E) & v3_pre_topc(E,A)))))) <-> C = k1_connsp_2(A,B)))))))) # label(d7_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9371 (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]. 147.01/145.84 9372 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(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]. 147.01/145.84 9373 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_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]. 147.01/145.84 9374 (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(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]. 147.01/145.84 9375 (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))) -> (v3_pre_topc(B,A) -> v2_connsp_2(B,A))))))) # label(t23_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9376 $T # label(t18_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9377 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -(m1_connsp_2(D,A,B) & r1_tarski(D,C) & v3_pre_topc(D,A)))) & m1_connsp_2(C,A,B)))))))) # label(t7_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9378 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(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]. 147.01/145.84 9379 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r4_connsp_1(A,C,D) & r2_hidden(B,D) & m1_connsp_2(C,A,B) -> m1_connsp_2(D,A,B)))))) <-> r1_connsp_2(A,B)))))) # label(t19_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9380 (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))) & -v1_xboole_0(C) -> -(v3_pre_topc(C,A) & (all D (m1_subset_1(D,u1_struct_0(k3_pre_topc(A,C))) -> -(D = B & r2_hidden(B,k1_tops_1(k3_pre_topc(A,C),k1_connsp_1(k3_pre_topc(A,C),D)))))) & r2_hidden(B,C)))) <-> r1_connsp_2(A,B)))))) # label(t20_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9381 (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))) -> (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]. 147.01/145.84 9382 $T # label(t29_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9383 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> r1_tarski(k1_connsp_1(B,D),k1_connsp_1(A,C))))))))))) # label(t14_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9384 (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))) -> (m2_connsp_2(C,A,k1_struct_0(A,B)) <-> m1_connsp_2(C,A,B)))))))) # label(t10_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9385 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) & m1_connsp_2(D,A,B) -> m1_connsp_2(k4_subset_1(u1_struct_0(A),C,D),A,B)))))))))) # label(t3_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9386 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C m2_connsp_2(C,A,B)))) # label(existence_m2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9387 (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) -> (v3_pre_topc(C,A) & r2_hidden(B,C) -> r2_connsp_2(A,C,B))))))))) # label(t22_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9388 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(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]. 147.01/145.84 9389 $T # label(t16_connsp_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9390 $T # label(t29_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9391 $T # label(t15_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9392 $T # label(t27_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9393 $T # label(t3_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9394 $T # label(t36_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9395 $T # label(t10_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9396 $T # label(t31_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9397 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_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_group_1(A,B,k5_rlvect_1(A,k2_group_1(A))))))) # label(t13_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9398 $T # label(t21_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9399 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k5_rlvect_1(B,D)) = k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)))))))))) # label(t39_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9400 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_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) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_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 (m1_subset_1(D,u1_struct_0(C)) -> (B != k1_rlvect_1(A) -> k6_vectsp_2(A,C,k1_vectsp_2(A,B),k6_vectsp_2(A,C,B,D)) = D))))))))) # label(t43_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9401 $T # label(t18_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9402 $T # label(t24_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9403 $T # label(t7_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9404 $T # label(t2_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9405 $T # label(t11_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9406 $T # label(t33_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9407 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(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]. 147.01/145.84 9408 $T # label(t23_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9409 $T # label(t20_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9410 $T # label(t5_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9411 $T # label(t41_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9412 $T # label(t22_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9413 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v5_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_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]. 147.01/145.84 9414 $T # label(t6_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9415 (all A (-v3_struct_0(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) -> (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) -> (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,C,k1_rlvect_1(B)) & k6_vectsp_2(A,B,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(B,D) & k1_rlvect_1(B) = k6_vectsp_2(A,B,k1_rlvect_1(A),D))))))))) # label(t37_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9416 $T # label(t34_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9417 $T # label(t1_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9418 $T # label(t8_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9419 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C) <-> D = k1_rlvect_1(C) | B = k1_rlvect_1(A)))))))))) # label(t25_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9420 $T # label(t17_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9421 $T # label(t30_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9422 $T # label(t4_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9423 (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) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_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) & v5_vectsp_2(C,A) & l1_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)) -> (k1_rlvect_1(C) = k6_vectsp_2(A,C,B,D) <-> k1_rlvect_1(A) = B | k1_rlvect_1(C) = D))))))))) # label(t42_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9424 $T # label(t12_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9425 (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) & 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)) -> (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]. 147.01/145.84 9426 $T # label(t35_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9427 (all A (-v3_struct_0(A) & v3_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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B != k1_rlvect_1(A) -> D = k6_vectsp_1(A,C,k1_vectsp_2(A,B),k6_vectsp_1(A,C,B,D))))))))))) # label(t26_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9428 $T # label(t16_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9429 $T # label(t19_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9430 $T # label(t32_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9431 $T # label(t9_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9432 $T # label(t28_mod_1) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9433 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (F = D -> k6_vectsp_2(A,E,B,F) = k6_vectsp_2(A,C,B,D)))))))))))))) # label(t22_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9434 (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 (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) -> 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]. 147.01/145.84 9435 (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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_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) -> (k3_rmod_2(A,B,k6_rlvect_1(B,D,C),E) = k3_rmod_2(A,B,D,E) <-> r1_rlvect_1(E,C)))))))))))) # label(t67_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9436 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_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 (-v3_struct_0(C) & v3_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (v3_rlvect_1(D) & v6_rlvect_1(D) & v5_vectsp_2(D,A) & l1_vectsp_2(D,A) & v5_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (m1_rmod_2(C,A,D) & m1_rmod_2(B,A,C) -> m1_rmod_2(B,A,D)))))))))) # label(t34_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9437 (all A (v3_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) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(D))))))))) # label(t20_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9438 $T # label(t14_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9439 (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 (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)) -> k3_rmod_2(A,B,C,k2_rmod_2(A,B)) = u1_struct_0(B))))))) # label(t62_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9440 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_2(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_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]. 147.01/145.84 9441 $T # label(t43_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9442 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_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) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (C = u1_struct_0(B) -> v1_rmod_2(C,A,B)))))))) # label(t8_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9443 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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_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,D,F)) & r2_hidden(C,k3_rmod_2(A,B,E,F)) -> k3_rmod_2(A,B,E,F) = k3_rmod_2(A,B,D,F)))))))))))))) # label(t69_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9444 (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_vectsp_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_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)) -> (D = G & F = C -> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)))))))))))))))) # label(t24_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9445 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) & v1_rmod_2(D,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]. 147.01/145.84 9446 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & 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) & v7_vectsp_1(A) -> (exists C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v3_vectsp_2(C,A) & v5_vectsp_2(C,A) & m1_rmod_2(C,A,B))))) # label(rc1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9447 (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) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (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) -> E = F))))))))))))) # label(t80_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9448 $T # label(t52_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9449 (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 (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (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(D,C) & r2_hidden(E,C) -> r2_hidden(k6_rlvect_1(B,D,E),C))))))))))))) # label(t6_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9450 (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 (-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 (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)))) -> D = C))))))))) # label(t38_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9451 (all 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) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(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) & k6_rlvect_1(B,D,F) = C & 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]. 147.01/145.84 9452 $T # label(t15_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9453 (all A all B all C all D all E (v6_rlvect_1(B) & v6_vectsp_1(B) & v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v5_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> ((exists F exists G (r2_hidden(F,D) & r2_hidden(G,E) & k4_rlvect_1(C,F,G) = A & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(F,u1_struct_0(C)))) <-> r2_hidden(A,a_4_0_rmod_2(B,C,D,E))))) # label(fraenkel_a_4_0_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9454 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> m1_rmod_2(k2_rmod_2(A,B),A,B) & v3_vectsp_2(k2_rmod_2(A,B),A))) # label(dt_k2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9455 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) -> v3_vectsp_2(k1_rmod_2(A,B),A) & m1_rmod_2(k1_rmod_2(A,B),A,B))) # label(dt_k1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9456 $T # label(t55_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9457 (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) & v6_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) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> ((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]. 147.01/145.84 9458 (all A (v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,D) <-> r2_hidden(k6_rlvect_1(B,C,D),k3_rmod_2(A,B,C,E))))))))))))) # label(t73_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9459 (all A all B (v3_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & 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) -> ((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,k3_rmod_2(B,C,D,E))))))))))) # label(t57_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9460 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (u1_struct_0(D) = u1_struct_0(C) -> C = D))))))))) # label(t37_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9461 (all 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) & -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_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]. 147.01/145.84 9462 (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 (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_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]. 147.01/145.84 9463 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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_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]. 147.01/145.84 9464 $T # label(t12_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9465 (all A (v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -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 (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 -> C = D))))))))))))) # label(t83_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9466 (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 (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,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,D) -> (r2_hidden(C,E) <-> k3_rmod_2(A,B,C,D) = E))))))))))) # label(t90_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9467 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (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,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]. 147.01/145.84 9468 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) -> (all B (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) -> r1_rlvect_1(E,k6_vectsp_2(A,C,B,D))))))))))))) # label(t29_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9469 (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_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> 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]. 147.01/145.84 9470 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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_rmod_2(D,A,B) -> (u1_struct_0(D) = k3_rmod_2(A,B,C,D) <-> r1_rlvect_1(D,C)))))))))) # label(t64_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.84 9471 (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_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) & 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)) -> (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)) -> (C = F & G = D -> k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D)))))))))))))))) # label(t21_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9472 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & 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_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]. 147.01/145.85 9473 (all A (v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & 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)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) <-> r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))))))))))) # label(t58_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9474 (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_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E) <-> r2_hidden(C,k3_rmod_2(A,B,D,E))))))))))))) # label(t68_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9475 (all A all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (all D (m1_rmod_2(D,B,C) -> (all E (m1_rmod_2(E,B,C) -> (m1_rmod_2(D,B,E) & r1_rlvect_1(D,A) -> r1_rlvect_1(E,A)))))))))) # label(t16_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9476 (all A all B all C all D all E (v4_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & -v3_struct_0(C) & v4_rlvect_1(C) & m1_subset_1(D,u1_struct_0(C)) & m1_rmod_2(E,B,C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_4_1_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(fraenkel_a_4_1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9477 (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 (-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) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (r2_hidden(C,k3_rmod_2(A,B,F,E)) & r2_hidden(D,k3_rmod_2(A,B,F,E)) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t76_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9478 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (-v3_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(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]. 147.01/145.85 9479 (all 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) & -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,k1_zfmisc_1(u1_struct_0(B))) -> -(C != k1_xboole_0 & v1_rmod_2(C,A,B) & (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> u1_struct_0(D) != C))))))))) # label(t42_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9480 (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_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) -> m1_rmod_2(k1_rmod_2(A,C),A,D))))))))) # label(t51_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9481 $T # label(t2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9482 (all A (v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (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) -> m2_rmod_2(u1_struct_0(B),A,B,k2_rmod_2(A,B)))))) # label(t87_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9483 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_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) -> u1_struct_0(C) = k3_rmod_2(A,B,k1_rlvect_1(B),C))))))) # label(t60_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9484 (all A all B (v5_rlvect_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v4_rlvect_1(C) -> (r1_rlvect_1(k1_rmod_2(B,C),A) <-> A = k1_rlvect_1(C)))))) # label(t46_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9485 $T # label(t1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9486 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & 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))) -> (m2_rmod_2(C,A,B,k2_rmod_2(A,B)) -> C = u1_struct_0(B)))))))) # label(t88_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9487 (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) & 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_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m2_rmod_2(F,A,B,E) -> -(r2_hidden(D,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(k4_rlvect_1(B,C,G) = D & r1_rlvect_1(E,G)))) & r2_hidden(C,F)))))))))))))) # label(t91_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9488 $T # label(t13_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9489 (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_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_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]. 147.01/145.85 9490 (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_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) -> m1_rmod_2(B,A,B))))) # label(t32_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9491 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v6_rlvect_1(B) & 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) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9492 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_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]. 147.01/145.85 9493 (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 (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,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (r2_hidden(D,F) & r2_hidden(C,F) & m2_rmod_2(F,A,B,E)))))))))))))) # label(t93_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9494 (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) & 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 (m1_subset_1(F,u1_struct_0(B)) -> -(D = k4_rlvect_1(B,C,F) & r1_rlvect_1(E,F)))) & k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E)))))))))))) # label(t77_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9495 (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) & 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) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9496 (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) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v3_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (m1_rmod_2(C,A,B) & m1_rmod_2(B,A,C) -> B = C))))))) # label(t33_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9497 $T # label(t44_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9498 (all A (v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> 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]. 147.01/145.85 9499 $T # label(t54_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9500 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (k1_rmod_2(A,B) = C <-> k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)) = u1_struct_0(C)))))))) # label(d3_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9501 (all A (v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_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]. 147.01/145.85 9502 (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) & v4_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) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (u1_struct_0(B) = u1_struct_0(C) -> C = B))))))) # label(t39_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9503 (all 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) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (v1_rmod_2(D,A,B) <-> D = u1_struct_0(C)))))))))) # label(t82_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9504 (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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (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)) <-> u1_struct_0(D) = k3_rmod_2(A,B,C,D)))))))))) # label(t63_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9505 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v3_rlvect_1(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)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> u1_struct_0(E) = k3_rmod_2(A,C,k6_vectsp_2(A,C,B,D),E)))))))))))) # label(t65_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9506 (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_vectsp_1(A) & v6_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_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 = k6_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(t78_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9507 (all A all B (-v3_struct_0(A) & v3_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) & 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) & v4_group_1(A) & v4_rlvect_1(A) -> (all C (m1_rmod_2(C,A,B) -> -v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v4_rlvect_1(C) & v3_rlvect_1(C))))) # label(dt_m1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9508 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> m2_rmod_2(u1_struct_0(C),A,B,C))))))) # label(t86_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9509 $T # label(t11_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9510 $T # label(t74_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9511 $T # label(t45_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9512 (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 (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9513 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) -> (C = u1_struct_0(D) -> v1_rmod_2(C,A,B)))))))))) # label(t41_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9514 (all A (v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (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_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]. 147.01/145.85 9515 (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 (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (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]. 147.01/145.85 9516 (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_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_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]. 147.01/145.85 9517 (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_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) & r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t31_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9518 $T # label(t3_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9519 (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_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))) -> ((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(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]. 147.01/145.85 9520 $T # label(t56_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9521 (all A (v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v4_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & -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) & u1_vectsp_2(A,C) = k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A))) & u1_rlvect_1(C) = k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C)))))))))) # label(d2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9522 (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_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_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]. 147.01/145.85 9523 (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 (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) -> 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]. 147.01/145.85 9524 (all A (-v3_struct_0(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) -> (all B (v5_rlvect_1(B) & v3_vectsp_2(B,A) & 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 (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))) -> C = B))))))) # label(t40_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9525 (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) & l3_vectsp_1(A) & v8_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) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (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]. 147.01/145.85 9526 (all A (-v3_struct_0(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_vectsp_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 (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) & r1_rlvect_1(E,D) -> r1_rlvect_1(E,k4_rlvect_1(B,C,D))))))))))))) # label(t28_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9527 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (D = u1_struct_0(C) <-> r2_hidden(k1_rlvect_1(B),D)))))))))) # label(t89_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9528 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(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) & v7_vectsp_1(A) & v4_group_1(A) & v5_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]. 147.01/145.85 9529 (all 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) & -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 (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rmod_2(A,C) = k1_rmod_2(A,D))))))))) # label(t48_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9530 (all 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) & -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) -> k1_rmod_2(A,B) = k1_rmod_2(A,C))))))) # label(t47_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9531 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (exists C m1_rmod_2(C,A,B)))) # label(existence_m1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9532 (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 (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)) -> 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]. 147.01/145.85 9533 (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 (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))) -> (v1_rmod_2(C,A,B) -> C = k1_xboole_0 | r2_hidden(k1_rlvect_1(B),C)))))))) # label(t4_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9534 (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_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,k1_zfmisc_1(u1_struct_0(B))) -> (m2_rmod_2(D,A,B,C) <-> (exists E (k3_rmod_2(A,B,E,C) = D & m1_subset_1(E,u1_struct_0(B))))))))))))) # label(d6_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9535 (all A (-v3_struct_0(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) -> (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) -> (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]. 147.01/145.85 9536 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all 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]. 147.01/145.85 9537 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (k3_rmod_2(A,B,C,D) = k3_rmod_2(A,B,C,E) <-> E = D))))))))))) # label(t79_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9538 (all A (v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -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_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]. 147.01/145.85 9539 (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) & 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) & 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))) -> -((all D (m1_subset_1(D,u1_struct_0(B)) -> k6_domain_1(u1_struct_0(B),D) != C)) & m2_rmod_2(C,A,B,k1_rmod_2(A,B))))))))) # label(t85_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9540 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> m1_rmod_2(k1_rmod_2(A,B),A,C))))))) # label(t50_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.01/145.85 9541 (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 (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) -> k1_rlvect_1(C) = k1_rlvect_1(B))))))) # label(t19_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all 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) & -v3_struct_0(B) -> m1_rmod_2(B,A,k2_rmod_2(A,B)))))) # label(t53_rmod_2) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9543 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & 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_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> -((all E (m1_rmod_2(E,A,B) -> u1_struct_0(E) != k2_xboole_0(u1_struct_0(C),u1_struct_0(D)))) & (m1_rmod_2(C,A,D) | m1_rmod_2(D,A,C))) & -((exists E (m1_rmod_2(E,A,B) & u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)))) & -m1_rmod_2(D,A,C) & -m1_rmod_2(C,A,D)))))))))) # label(t41_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9544 $T # label(t59_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9545 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (k1_rmod_3(A,B,C,D) = B -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & (exists H ((exists I (m1_subset_1(I,u1_struct_0(B)) & E = k4_rlvect_1(B,F,G) & r1_rlvect_1(C,F) & r1_rlvect_1(D,G) & -(G = I & H = F) & r1_rlvect_1(D,I) & r1_rlvect_1(C,H) & k4_rlvect_1(B,H,I) = E)) & m1_subset_1(H,u1_struct_0(B)))))))))) | r1_rmod_3(A,B,C,D)))))))))) # label(t52_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9546 (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) & 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_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]. 147.08/145.86 9547 (all 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_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_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,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C))))))))))))) # label(t58_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9548 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_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) & v4_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 (k4_rlvect_1(B,F,G) = E & r1_rlvect_1(D,G) & r1_rlvect_1(C,F) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t50_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9549 $T # label(t45_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9550 (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) & 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_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E)) = k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E))))))))))))) # label(t35_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9551 $T # label(t54_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9552 (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 (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) -> 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))) & -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t65_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9553 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> r2_hidden(B,k3_rmod_3(A,B)))))) # label(t44_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9554 (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) & l3_vectsp_1(A) & v8_vectsp_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_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]. 147.08/145.86 9555 (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 (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) -> v13_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))) & -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]. 147.08/145.86 9556 $T # label(t43_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9557 (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 (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (m1_rmod_2(C,A,D) <-> D = k1_rmod_3(A,B,C,D)))))))))) # label(t12_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9558 (all A all B all C all D all E (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & -v3_struct_0(C) & v4_rlvect_1(C) & v6_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) & v5_rlvect_1(C) & v3_rlvect_1(C) & v4_rlvect_1(B) -> (r2_hidden(A,a_4_0_rmod_3(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & r1_rlvect_1(E,G) & r1_rlvect_1(D,F) & k4_rlvect_1(C,F,G) = A))))) # label(fraenkel_a_4_0_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9559 (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) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rmod_3(A,B,C,D) -> 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]. 147.08/145.86 9560 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_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 (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)) = k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E))))))))))))) # label(t33_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9561 (all A all B (v5_rlvect_1(A) & v7_vectsp_1(A) & -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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_rmod_3(A,B)))) # label(fc1_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9562 $T # label(t60_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9563 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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))) -> (F = k4_rmod_3(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(d5_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9564 (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 (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 (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C & C = k2_rmod_3(A,B,k2_rmod_2(A,B),C))))))) # label(t27_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9565 (all 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) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> D = k2_rmod_3(A,B,D,k1_rmod_3(A,B,D,C)))))))))) # label(t31_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9566 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_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 (r1_rlvect_1(k1_rmod_3(A,B,C,D),E) <-> (exists F ((exists G (r1_rlvect_1(D,G) & k4_rlvect_1(B,F,G) = E & r1_rlvect_1(C,F) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B)))))))))))))) # label(t5_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9567 (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) & 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) & 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 (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]. 147.08/145.86 9568 $T # label(t56_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9569 (all 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_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rmod_3(A,B,C,D) = k1_rmod_3(A,B,D,C))))))))) # label(t9_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9570 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> C = k1_rmod_3(A,B,C,C))))))) # label(t8_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9571 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (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_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]. 147.08/145.86 9572 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-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) & 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 <-> k2_rmod_3(A,B,C,D) = C))))))))) # label(t37_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.08/145.86 9573 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_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) -> 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))) & -v3_struct_0(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]. 147.08/145.86 9574 (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 (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(D,A,k1_rmod_3(A,B,C,D)) & m1_rmod_2(C,A,k1_rmod_3(A,B,C,D)))))))))) # label(t11_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9575 (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 (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(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]. 147.09/145.86 9576 (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 (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E) = k2_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)))))))))))) # label(t19_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9577 (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) & 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_rmod_2(C,A,B) -> g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,k2_rmod_2(A,B)) & 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)))))))) # label(t15_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9578 $T # label(t3_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9579 (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) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_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_2(k2_rmod_3(A,B,C,D),A,B) & v3_vectsp_2(k2_rmod_3(A,B,C,D),A))) # label(dt_k2_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9580 (all A (v3_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) & 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) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,E) & m1_rmod_2(C,A,D) -> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))) # label(t24_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9581 (all A all B all C all D all E (v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(B)) & m1_rmod_2(E,A,B) & m1_rmod_2(D,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(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]. 147.09/145.86 9582 (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) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) -> (k5_rmod_3(A,B) = C <-> (all D (m1_subset_1(D,k3_rmod_3(A,B)) -> (all E (m1_subset_1(E,k3_rmod_3(A,B)) -> (all F (m1_rmod_2(F,A,B) -> (all G (m1_rmod_2(G,A,B) -> (G = E & F = D -> k1_rmod_3(A,B,F,G) = k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E))))))))))))))))) # label(d6_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9583 (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 (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) -> v12_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))) & -v3_struct_0(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]. 147.09/145.86 9584 (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 (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) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k1_rmod_3(A,B,C,E),A,k1_rmod_3(A,B,D,E))))))))))))) # label(t38_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9585 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_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]. 147.09/145.86 9586 $T # label(dt_k3_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9587 (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_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) -> -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))))))) # label(t63_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9588 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -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 (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> k1_rmod_3(A,B,k1_rmod_2(A,B),C) = C & C = k1_rmod_3(A,B,C,k1_rmod_2(A,B)))))))) # label(t13_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9589 (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) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> k1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) = 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]. 147.09/145.86 9590 $T # label(t62_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9591 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_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) & v3_vectsp_2(E,A) -> (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]. 147.09/145.86 9592 (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 (-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 (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)) -> ((all D (m1_subset_1(D,k3_rmod_3(A,B)) -> (all E (m1_subset_1(E,k3_rmod_3(A,B)) -> (all F (m1_rmod_2(F,A,B) -> (all G (m1_rmod_2(G,A,B) -> (G = E & D = F -> k2_rmod_3(A,B,F,G) = k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E)))))))))) <-> C = k6_rmod_3(A,B)))))))) # label(d7_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9593 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> 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]. 147.09/145.86 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_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_rmod_3(A,B,C,D) <-> k2_rmod_3(A,B,C,D) = k1_rmod_2(A,B) & g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k1_rmod_3(A,B,C,D)))))))))) # label(d4_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9595 (all A all B all C all D (v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> 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]. 147.09/145.86 9596 $T # label(t55_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9597 (all A (-v3_struct_0(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) -> (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 (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) -> (D = k2_rmod_3(A,B,D,C) -> m1_rmod_2(D,A,C)))))))))) # label(t21_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9598 (all A (v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_rmod_3(A,B,C,D) -> r1_rmod_3(A,B,D,C)))))))))) # label(t46_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9599 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & 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) -> k1_rmod_2(A,B) = k2_rmod_3(A,B,k1_rmod_2(A,B),C) & k1_rmod_2(A,B) = k2_rmod_3(A,B,C,k1_rmod_2(A,B)))))))) # label(t25_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9600 (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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (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]. 147.09/145.86 9601 (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 (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) -> (all E (m1_rmod_2(E,A,B) -> k1_rmod_3(A,B,C,k1_rmod_3(A,B,D,E)) = k1_rmod_3(A,B,k1_rmod_3(A,B,C,D),E))))))))))) # label(t10_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9602 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_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_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> C = k2_rmod_3(A,B,C,C))))))) # label(t17_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9603 $T # label(t61_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9604 (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) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> k2_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B)))) # label(t28_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9605 (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 (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> r1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)) & r1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)))))) # label(t47_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9606 (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 (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_rmod_3(A,B,C,D) <-> (all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (exists G (k6_domain_1(u1_struct_0(B),G) = k5_subset_1(u1_struct_0(B),E,F) & m1_subset_1(G,u1_struct_0(B))))))))))))))))) # label(t49_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9607 (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) & 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) -> (all E (r1_rlvect_1(k2_rmod_3(A,B,C,D),E) <-> r1_rlvect_1(C,E) & r1_rlvect_1(D,E))))))))))) # label(t7_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9608 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_2(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m2_relset_1(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_1(k6_rmod_3(A,B)))) # label(dt_k6_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9609 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> 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]. 147.09/145.86 9610 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (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(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]. 147.09/145.86 9611 (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 (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> m1_rmod_2(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]. 147.09/145.86 9612 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-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 ((all D ((exists E (v3_vectsp_2(E,A) & E = D & m1_rmod_2(E,A,B))) <-> r2_hidden(D,C))) <-> C = k3_rmod_3(A,B))))))) # label(d3_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9613 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -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) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> 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)) & 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_1(k5_rmod_3(A,B)))) # label(dt_k5_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9614 $T # label(t1_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9615 $T # label(t4_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.86 9616 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_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_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k2_rmod_3(A,B,D,C) = k2_rmod_3(A,B,C,D))))))))) # label(t18_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9617 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> D = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D))))))))) # label(t30_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9618 $T # label(t26_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9619 $T # label(t53_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9620 (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) & l3_vectsp_1(A) & v8_vectsp_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 (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (k2_rmod_3(A,B,C,D) = E <-> k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E)))))))))))) # label(d2_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9621 $T # label(t2_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9622 (all A (-v3_struct_0(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) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (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]. 147.09/145.87 9623 (all 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) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_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,I) & r1_rlvect_1(D,G) & k4_rlvect_1(B,H,I) = E & E = k4_rlvect_1(B,F,G) & r1_rmod_3(A,B,C,D) -> H = F & I = G))))))))))))))))))) # label(t51_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9624 $T # label(t42_rmod_3) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9625 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> 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]. 147.09/145.87 9626 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & 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 (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(E) -> k8_finseq_1(u1_struct_0(B),k4_rmod_4(A,B,C,E),k4_rmod_4(A,B,D,E)) = k4_rmod_4(A,B,k8_finseq_1(u1_struct_0(B),C,D),E))))))))))) # label(t37_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9627 (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 (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 (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (m2_finseq_1(E,u1_struct_0(B)) & C = k2_relat_1(E) & D = k9_rlvect_1(B,E) & v2_funct_1(E))) <-> D = k1_rmod_4(A,B,C)))))))))) # label(d3_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9628 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_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]. 147.09/145.87 9629 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k6_finseq_1(u1_struct_0(B)))) = k1_rlvect_1(B))))))) # label(t2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9630 (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_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_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]. 147.09/145.87 9631 (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 (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))) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(E,A,B,C) & m2_rmod_4(D,A,B,C) -> m2_rmod_4(k9_rmod_4(A,B,D,E),A,B,C)))))))))))) # label(t75_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9632 (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_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 (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k1_rlvect_1(B) = k5_rmod_4(A,B,C))))))) # label(t42_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9633 (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 (-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 (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k3_rmod_4(A,B) = C)))))) # label(t27_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9634 (all A all B all C all D (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (r1_rmod_4(A,B,C,D) <-> D = C))) # label(redefinition_r1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9635 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(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 (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_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]. 147.09/145.87 9636 $T # label(t23_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9637 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_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) -> k5_rmod_4(A,B,k3_rmod_4(A,B)) = k1_rlvect_1(B))))) # label(t41_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9638 (all 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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> k2_rmod_4(A,B,C) = k2_rmod_4(A,B,k8_rmod_4(A,B,C)))))))) # label(t69_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9639 (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_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_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))) -> 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]. 147.09/145.87 9640 (all A all B all C (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(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) & v4_rlvect_1(B) & -v3_struct_0(B) & 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) -> (exists D m2_rmod_4(D,A,B,C)))) # label(existence_m2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9641 $T # label(t21_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9642 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (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 (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))) -> 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]. 147.09/145.87 9643 $T # label(t48_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9644 $T # label(d2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9645 (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) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_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_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k6_rmod_4(A,B,C,k8_rmod_4(A,B,D)) = k9_rmod_4(A,B,C,D))))))))) # label(d14_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9646 (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_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,k3_rmod_4(A,B),C),C) & r1_rmod_4(A,B,k6_rmod_4(A,B,C,k3_rmod_4(A,B)),C))))))) # label(t55_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9647 (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) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (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]. 147.09/145.87 9648 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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,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]. 147.09/145.87 9649 $T # label(t56_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9650 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (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)) -> 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)) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,k3_finseq_4(u1_struct_0(B),D,E,F))))))))))))))) # label(t4_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9651 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (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_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all 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)) & v1_funct_1(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)) = k4_rmod_4(A,B,k3_finseq_4(u1_struct_0(B),C,D,E),F))))))))))))) # label(t36_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9652 (all A all B all C all D (v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & v6_rlvect_1(C) & m1_rmod_4(D,B,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) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> ((exists E (A = E & k1_rlvect_1(B) != k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) & m1_subset_1(E,u1_struct_0(C)))) <-> r2_hidden(A,a_3_0_rmod_4(B,C,D))))) # label(fraenkel_a_3_0_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9653 (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) & v8_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_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)) -> -(k4_rlvect_1(B,k4_rlvect_1(B,C,D),E) != k1_rmod_4(A,B,k9_rlvect_2(B,C,D,E)) & E != C & E != D & C != D))))))))))) # label(t8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9654 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & 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)) -> k1_rmod_4(A,B,k7_rlvect_2(B,C)) = C)))))) # label(t6_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9655 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_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) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) -> m1_rmod_4(k3_rmod_4(A,B),A,B))) # label(dt_k3_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9656 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_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 (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)) -> (k3_finseq_1(E) = k3_finseq_1(C) & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (r2_hidden(F,k1_relat_1(E)) -> k1_funct_1(E,F) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)),k4_finseq_4(k5_numbers,u1_struct_0(B),C,F))))) <-> E = k4_rmod_4(A,B,C,D)))))))))))) # label(d8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9657 (all A all B (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) & 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) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists C m1_rmod_4(C,A,B)))) # label(existence_m1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9658 (all 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) & v6_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> (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]. 147.09/145.87 9659 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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]. 147.09/145.87 9660 (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 (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (k1_rlvect_1(A) != k2_group_1(A) -> ((all D (m2_rmod_4(D,A,B,C) -> r2_hidden(k5_rmod_4(A,B,D),C))) <-> v1_rmod_2(C,A,B) & k1_xboole_0 != C)))))))) # label(t40_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9661 (all A (-v3_struct_0(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) -> (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)) -> (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]. 147.09/145.87 9662 $T # label(t31_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9663 (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 (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) -> (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]. 147.09/145.87 9664 (all 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) & -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) -> 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]. 147.09/145.87 9665 (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_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) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> ((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))) <-> r1_rmod_4(A,B,C,D)))))))))) # label(d10_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9666 (all A (-v3_struct_0(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_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 all D (m1_rmod_4(D,A,B) -> (r2_hidden(C,k2_rmod_4(A,B,D)) <-> (exists E (k1_rlvect_1(A) != k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) & C = E & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t19_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9667 (all A all B all C (-v3_struct_0(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) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_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) & v3_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) & v4_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]. 147.09/145.87 9668 (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 (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_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]. 147.09/145.87 9669 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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]. 147.09/145.87 9670 $T # label(t16_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9671 (all A all B (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & 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) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(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]. 147.09/145.87 9672 $T # label(t18_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9673 (all A all B all C all D (-v3_struct_0(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) & v6_rlvect_1(B) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,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) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_rmod_4(k9_rmod_4(A,B,C,D),A,B))) # label(dt_k9_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9674 (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) & v6_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) & 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_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]. 147.09/145.87 9675 (all A (l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D != C -> (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]. 147.09/145.87 9676 (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) & 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_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]. 147.09/145.87 9677 (all A (-v3_struct_0(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) -> (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 (m2_rmod_4(D,A,B,k7_rlvect_2(B,C)) -> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C))))))))) # label(t43_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9678 (all A (v3_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) & v4_rlvect_1(A) & -v3_struct_0(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(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]. 147.09/145.87 9679 (all A all B all C all D (-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) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_rmod_4(D,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_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]. 147.09/145.87 9680 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (k7_rlvect_2(B,C) = k2_rmod_4(A,B,D) -> 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(t46_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9681 (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 (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(A)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (k7_rmod_4(A,B,C,D) = E <-> (all F (m1_subset_1(F,u1_struct_0(B)) -> k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F)))))))))))))) # label(d12_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9682 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & 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_subset_1(D,u1_struct_0(B)) -> (all 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)) & v1_funct_1(E) -> k4_rmod_4(A,B,k2_finseq_4(u1_struct_0(B),C,D),E) = k2_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)))))))))))) # label(t35_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9683 (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 (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,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]. 147.09/145.87 9684 (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) & 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 (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> (all F (m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(F) -> (r2_hidden(C,k1_relat_1(E)) & k1_funct_1(E,C) = D -> 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]. 147.09/145.87 9685 (all A all B all C all D (-v3_struct_0(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> r1_rmod_4(A,B,C,C))) # label(reflexivity_r1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9686 (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 (-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) -> (k3_rmod_4(A,B) = C <-> k1_xboole_0 = k2_rmod_4(A,B,C)))))))) # label(d6_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9687 (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) & 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 (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) -> k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,D)) = k1_rmod_4(A,B,k4_rlvect_2(B,C,D)))))))))) # label(t12_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9688 (all A all B all C all D (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(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) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (r1_rmod_4(A,B,C,D) -> r1_rmod_4(A,B,D,C)))) # label(symmetry_r1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9689 $T # label(t30_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9690 (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) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (m2_rmod_4(D,A,B,C) <-> r1_tarski(k2_rmod_4(A,B,D),C)))))))))) # label(d7_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9691 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (k2_rmod_4(A,B,C) = k2_relat_1(E) & D = k9_rlvect_1(B,k4_rmod_4(A,B,E,C)) & v2_funct_1(E) & m2_finseq_1(E,u1_struct_0(B)))) <-> k5_rmod_4(A,B,C) = D))))))))) # label(d9_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9692 $T # label(t50_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9693 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_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 (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k1_rmod_4(A,B,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]. 147.09/145.87 9694 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(k2_rmod_4(A,B,C)))) # label(dt_k2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9695 (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 (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) -> 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]. 147.09/145.87 9696 $T # label(t24_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9697 (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 (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) -> k1_rmod_4(A,B,k1_pre_topc(B)) = k1_rlvect_1(B))))) # label(t5_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9698 (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 (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) -> (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]. 147.09/145.87 9699 (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) & v8_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_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]. 147.09/145.87 9700 $T # label(t17_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.87 9701 (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) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))) -> (m1_rmod_4(C,A,B) <-> (exists D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & (all E (m1_subset_1(E,u1_struct_0(B)) -> (-r2_hidden(E,D) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k1_rlvect_1(A))))))))))))) # label(d4_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9702 $T # label(t72_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9703 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_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]. 147.09/145.88 9704 (all 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) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,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]. 147.09/145.88 9705 $T # label(t39_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9706 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k9_rmod_4(A,B,D,E),C) = 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)))))))))))) # label(t73_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9707 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v7_group_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) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k5_rmod_4(A,B,k9_rmod_4(A,B,C,D)) = k6_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)))))))))) # label(t80_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9708 (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 (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_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]. 147.09/145.88 9709 (all A all B all C all D (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,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) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_4(k6_rmod_4(A,B,C,D),A,B))) # label(dt_k6_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9710 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_group_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) & 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_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]. 147.09/145.88 9711 $T # label(t49_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9712 $T # label(t57_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9713 (all 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) & -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_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]. 147.09/145.88 9714 (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) & 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) -> 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]. 147.09/145.88 9715 (all A (-v3_struct_0(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) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & 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]. 147.09/145.88 9716 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_4(E,A,B) -> (k8_rlvect_2(B,C,D) = k2_rmod_4(A,B,E) -> k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) | D = C))))))))))) # label(t47_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9717 $T # label(d1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9718 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -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 (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k1_rmod_4(A,B,k3_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k2_rlvect_2(B,C,D))))))))))) # label(t11_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9719 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & 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_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)) -> (k3_finseq_1(E) = k3_finseq_1(D) & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (k1_funct_1(E,F) = G & r2_hidden(F,k1_relat_1(D)) -> k6_vectsp_2(A,B,C,G) = k1_funct_1(D,F)))))) -> 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]. 147.09/145.88 9720 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_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) -> (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]. 147.09/145.88 9721 $T # label(t38_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9722 (all A (-v3_struct_0(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (k6_rmod_4(A,B,C,D) = E <-> (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)))))))))))))) # label(d11_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9723 $T # label(t71_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9724 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -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_rmod_4(C,A,B) -> a_3_0_rmod_4(A,B,C) = k2_rmod_4(A,B,C))))))) # label(d5_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9725 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all 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]. 147.09/145.88 9726 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> C = k8_rmod_4(A,B,k8_rmod_4(A,B,C)))) # label(involutiveness_k8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9727 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_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]. 147.09/145.88 9728 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-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 (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]. 147.09/145.88 9729 (all A all B all C all D (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & 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) & m1_finseq_1(C,u1_struct_0(B)) & v6_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m2_finseq_1(k4_rmod_4(A,B,C,D),u1_struct_0(B)))) # label(dt_k4_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9730 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & 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(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]. 147.09/145.88 9731 (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_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(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(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,k9_rlvect_1(B,k2_finseq_4(u1_struct_0(B),D,E))))))))))))) # label(t3_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9732 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (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]. 147.09/145.88 9733 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (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(B)) -> (all D (m1_rmod_4(D,A,B) -> (-r2_hidden(C,k2_rmod_4(A,B,D)) <-> k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) = k1_rlvect_1(A)))))))))) # label(t20_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9734 $T # label(t29_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9735 $T # label(t66_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9736 (all A all B all C (v7_vectsp_1(A) & -v3_struct_0(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) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_4(k8_rmod_4(A,B,C),A,B))) # label(dt_k8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9737 (all A (v5_rlvect_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) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (u1_struct_0(D) = C -> k1_rlvect_1(A) = k2_group_1(A) | D = k1_rmod_5(A,B,C)))))))))) # label(t13_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9738 (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) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & k1_rmod_5(A,B,C) = B -> k1_rmod_5(A,B,D) = B))))))))) # label(t16_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9739 (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 (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))) -> -(r2_hidden(k1_rlvect_1(B),C) & v1_rmod_5(C,A,B) & k1_rlvect_1(A) != k2_group_1(A)))))))) # label(t3_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9740 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_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,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]. 147.09/145.88 9741 $T # label(t8_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9742 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (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) -> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B))))) # label(t4_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9743 (all A (v3_rlvect_1(A) & v4_group_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v7_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) & v3_vectsp_2(B,A) & 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,k1_zfmisc_1(u1_struct_0(B))) -> (C = u1_struct_0(B) -> B = k1_rmod_5(A,B,C) | k1_rlvect_1(A) = k2_group_1(A)))))))) # label(t14_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9744 (all A all B all C (-v3_struct_0(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) & -v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) -> v3_vectsp_2(k1_rmod_5(A,B,C),A) & m1_rmod_2(k1_rmod_5(A,B,C),A,B))) # label(dt_k1_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9745 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v7_group_1(B) & v6_vectsp_1(B) & v2_vectsp_2(B) & l3_vectsp_1(B) & -v10_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v3_rlvect_1(C) & -v3_struct_0(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]. 147.09/145.88 9746 (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 (-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)) -> (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]. 147.09/145.88 9747 (all A all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v7_group_1(B) & -v10_vectsp_1(B) & v2_vectsp_2(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> ((exists E (k5_rmod_4(B,C,E) = A & m2_rmod_4(E,B,C,D))) <-> r1_rlvect_1(k1_rmod_5(B,C,D),A)))))))) # label(t9_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9748 (all A all B all C all D (v3_rlvect_1(B) & v4_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & -v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & l1_vectsp_2(C,B) & v4_rlvect_1(C) & v3_rlvect_1(C) & l3_vectsp_1(B) & v2_vectsp_2(B) & -v10_vectsp_1(B) & v7_vectsp_1(B) & v7_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_rmod_5(B,C,D)) <-> (exists E (A = k5_rmod_4(B,C,E) & m2_rmod_4(E,B,C,D)))))) # label(fraenkel_a_3_0_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9749 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_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) & 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,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))))))))))) # label(t18_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9750 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_group_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) -> k1_rmod_5(A,B,k1_subset_1(u1_struct_0(B))) = k1_rmod_2(A,B))))) # label(t11_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9751 $T # label(t7_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9752 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v7_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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(k1_rmod_2(A,B) = k1_rmod_5(A,B,C) & k7_rlvect_2(B,k1_rlvect_1(B)) != C & k1_xboole_0 != C))))))) # label(t12_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9753 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & 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)) -> (v1_rmod_5(k8_rlvect_2(B,C,D),A,B) -> k2_group_1(A) = k1_rlvect_1(A) | C != k1_rlvect_1(B) & D != k1_rlvect_1(B)))))))))) # label(t5_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9754 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D)) = k1_rmod_5(A,B,k4_subset_1(u1_struct_0(B),C,D)))))))))) # label(t17_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9755 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_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_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) -> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))))))))))) # label(t15_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9756 $T # label(t1_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9757 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v1_rmod_5(D,A,B) -> v1_rmod_5(C,A,B)))))))))) # label(t2_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9758 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_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) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_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 (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (u1_struct_0(D) = a_3_0_rmod_5(A,B,C) <-> k1_rmod_5(A,B,C) = D))))))))) # label(d2_rmod_5) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9759 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(C) -> C = k8_oppcat_1(A,B,k7_oppcat_1(A,B,C)))))))) # label(t49_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9760 (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)) -> k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(k2_oppcat_1(A),k2_oppcat_1(B),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C))),k3_oppcat_1(A,D)))))))))) # label(t62_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9761 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k2_cat_1(A,D)) & k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k3_cat_1(A,D)))))))))) # label(t33_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9762 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v1_cat_1(B) & l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(B),u2_cat_1(A)) & m2_relset_1(C,u2_cat_1(B),u2_cat_1(A)) & v1_funct_1(C) -> k8_oppcat_1(k2_oppcat_1(B),A,k8_oppcat_1(B,A,C)) = C)))))) # label(t52_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9763 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(A),k12_cat_1(k2_oppcat_1(A),A,k11_oppcat_1(A)),B) = k4_oppcat_1(A,B))))) # label(t69_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9764 (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(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k4_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),D))))))))) # label(t41_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9765 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m2_cat_1(k8_oppcat_1(A,B,C),k2_oppcat_1(A),B))))))) # label(t56_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9766 (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 (m1_oppcat_1(D,A,B) -> (all E (m1_oppcat_1(E,B,C) -> m2_cat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t36_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9767 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (exists C m1_oppcat_1(C,A,B)))) # label(existence_m1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9768 (all A (v2_cat_1(A) & l1_cat_1(A) -> l1_cat_1(g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A))) & v2_cat_1(g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A))))) # label(t1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9769 (all A (l1_cat_1(A) & v2_cat_1(A) -> m1_oppcat_1(k11_oppcat_1(A),k2_oppcat_1(A),A))) # label(dt_k11_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9770 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(A),k11_oppcat_1(A),B) = k6_oppcat_1(A,B))))) # label(t68_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9771 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))))))))) # label(t34_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9772 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),k4_oppcat_1(A,D)))))))))) # label(t30_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9773 (all A (l1_cat_1(A) & v2_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)) = k2_oppcat_1(k2_oppcat_1(A)))) # label(t2_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9774 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_oppcat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)) = B)))) # label(t3_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9775 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> m1_subset_1(k3_oppcat_1(A,B),u1_cat_1(k2_oppcat_1(A))))) # label(dt_k3_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9776 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m1_oppcat_1(k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k2_oppcat_1(A),k2_oppcat_1(B)))))))) # label(t65_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9777 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) -> k9_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E)) = k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(k2_oppcat_1(C)),D,k9_oppcat_1(B,C,E)))))))))))) # label(t54_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9778 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(C) -> (all D (v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> (k7_oppcat_1(A,B,C) = D <-> (all E (m1_subset_1(E,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),D,E) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),C,k5_oppcat_1(A,E))))))))))))) # label(d6_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9779 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),k7_oppcat_1(A,B,C),k6_oppcat_1(A,D)) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),C,D))))))))) # label(t28_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9780 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),k8_oppcat_1(A,B,C),k5_oppcat_1(A,D)))))))))) # label(t40_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9781 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> C = k7_oppcat_1(A,B,k8_oppcat_1(A,B,C)))))))) # label(t48_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9782 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t32_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9783 (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,k2_oppcat_1(A),B) -> m1_oppcat_1(k7_oppcat_1(A,B,C),A,B))))))) # label(t35_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9784 (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 (m1_oppcat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> m1_oppcat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t60_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9785 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v5_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A)) <-> v5_cat_1(B,A)))))) # label(t25_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9786 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k3_oppcat_1(A,D)))))))))) # label(t45_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9787 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m1_oppcat_1(k8_oppcat_1(A,B,C),k2_oppcat_1(A),B))))))) # label(t58_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9788 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A)) <-> v6_cat_1(B,A)))))) # label(t27_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9789 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k1_xboole_0 != k6_cat_1(A,C,D) & k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,F),k5_oppcat_1(A,E)) != k5_oppcat_1(A,k9_cat_1(A,B,C,D,E,F)) & k6_cat_1(A,B,C) != k1_xboole_0))))))))))))) # label(t20_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9790 (all A all B all C all D (-v1_xboole_0(C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k1_oppcat_1(A,B,C,D) = k2_funct_4(D))) # label(redefinition_k1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9791 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> m1_subset_1(k6_oppcat_1(A,B),u2_cat_1(A)))) # label(dt_k6_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9792 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v1_funct_1(C) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> v1_funct_1(k8_oppcat_1(A,B,C)) & m2_relset_1(k8_oppcat_1(A,B,C),u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(k8_oppcat_1(A,B,C),u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)))) # label(dt_k8_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9793 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> k8_oppcat_1(A,B,C) = k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(A),u2_cat_1(B),k11_oppcat_1(A),C) & k9_oppcat_1(A,B,C) = k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(k2_oppcat_1(B)),C,k10_oppcat_1(B)))))))) # label(t70_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9794 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k2_oppcat_1(A))) -> (all D (m1_subset_1(D,u2_cat_1(k2_oppcat_1(A))) -> (r2_hidden(D,k6_cat_1(k2_oppcat_1(A),B,C)) <-> r2_hidden(k6_oppcat_1(A,D),k6_cat_1(A,k4_oppcat_1(A,C),k4_oppcat_1(A,B)))))))))))) # label(t14_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9795 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v3_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A)) <-> v4_cat_1(B,A)))))) # label(t23_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9796 (all A (l1_cat_1(A) & v2_cat_1(A) -> k8_oppcat_1(A,A,k15_cat_1(A)) = k11_oppcat_1(A))) # label(d11_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9797 (all A (l1_cat_1(A) & v2_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 (v1_funct_2(D,u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & v1_funct_1(D) -> (k9_oppcat_1(A,B,C) = D <-> (all E (m1_subset_1(E,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(k2_oppcat_1(B)),D,E) = k5_oppcat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))))))))) # label(d9_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9798 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_oppcat_1(A,B) = k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(A)),k12_cat_1(A,k2_oppcat_1(A),k10_oppcat_1(A)),B))))) # label(t67_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9799 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k2_oppcat_1(A))) -> (all D (m1_cat_1(D,k2_oppcat_1(A),B,C) -> (k6_cat_1(k2_oppcat_1(A),B,C) != k1_xboole_0 -> m1_cat_1(k6_oppcat_1(A,D),A,k4_oppcat_1(A,C),k4_oppcat_1(A,B))))))))))) # label(t16_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.88 9800 (all A (l1_cat_1(A) & v2_cat_1(A) -> g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A)) = k2_oppcat_1(A))) # label(d1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9801 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),k4_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),D))))))))) # label(t38_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9802 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k5_oppcat_1(A,B) = k8_funct_2(u2_cat_1(A),u2_cat_1(k2_oppcat_1(A)),k10_oppcat_1(A),B))))) # label(t66_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9803 (all A (v2_cat_1(A) & l1_cat_1(A) -> k9_oppcat_1(A,A,k15_cat_1(A)) = k10_oppcat_1(A))) # label(d10_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9804 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = E))))))))))) # label(t31_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9805 (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(k2_oppcat_1(A),k5_oppcat_1(A,C)) = k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) -> k5_oppcat_1(A,k4_cat_1(A,B,C)) = k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C),k5_oppcat_1(A,B))))))))) # label(t18_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9806 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k4_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),D))))))))) # label(t44_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9807 (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 -> m1_cat_1(k5_oppcat_1(A,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B))))))))))) # label(t15_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9808 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)),D) = k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t43_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9809 (all A (l1_cat_1(A) & v2_cat_1(A) -> m1_oppcat_1(k10_oppcat_1(A),A,k2_oppcat_1(A)))) # label(dt_k10_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9810 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(k2_oppcat_1(A),k2_oppcat_1(B),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C))),k3_oppcat_1(A,D)) = k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t63_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9811 (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) -> m2_cat_1(k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k2_oppcat_1(A),k2_oppcat_1(B)))))))) # label(t64_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9812 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k3_oppcat_1(A,k2_cat_1(A,B)) & k3_oppcat_1(A,k3_cat_1(A,B)) = k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)))))) # label(t11_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9813 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k4_oppcat_1(A,k3_oppcat_1(A,B)) = B)))) # label(t4_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9814 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> B = k3_oppcat_1(A,k4_oppcat_1(A,B)))))) # label(t5_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9815 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k2_cat_1(A,B) & k3_cat_1(A,B) = k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)))))) # label(t9_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9816 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k3_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D))))))))) # label(t42_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9817 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v1_funct_1(C) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) -> v1_funct_1(k9_oppcat_1(A,B,C)) & m2_relset_1(k9_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & v1_funct_2(k9_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))))) # label(dt_k9_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9818 (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,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),k3_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),D))))))))) # label(t29_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9819 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k6_oppcat_1(A,k5_oppcat_1(A,B)))))) # label(t7_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9820 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m1_oppcat_1(k9_oppcat_1(A,B,C),A,k2_oppcat_1(B)))))))) # label(t59_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9821 (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,u2_cat_1(A)) -> (r2_hidden(k5_oppcat_1(A,D),k6_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B))) <-> r2_hidden(D,k6_cat_1(A,B,C))))))))))) # label(t13_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9822 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m2_cat_1(k9_oppcat_1(A,B,C),A,k2_oppcat_1(B)))))))) # label(t57_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9823 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),k3_oppcat_1(A,D)))))))))) # label(t37_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9824 (all A (v2_cat_1(A) & l1_cat_1(A) -> v1_cat_1(k2_oppcat_1(A)) & v2_cat_1(k2_oppcat_1(A)) & l1_cat_1(k2_oppcat_1(A)))) # label(dt_k2_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9825 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k3_cat_1(A,k6_oppcat_1(A,B)) = k2_cat_1(k2_oppcat_1(A),B) & k3_cat_1(k2_oppcat_1(A),B) = k2_cat_1(A,k6_oppcat_1(A,B)))))) # label(t10_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9826 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (all C (m1_oppcat_1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)))))) # label(dt_m1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9827 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) & v1_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) -> C = k9_oppcat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)))))))) # label(t51_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9828 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k6_oppcat_1(A,B) = k5_oppcat_1(k2_oppcat_1(A),B))))) # label(d5_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9829 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> m2_cat_1(k7_oppcat_1(A,B,C),A,B))))))) # label(t39_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9830 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k5_oppcat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(k2_oppcat_1(B)),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k5_oppcat_1(A,D)))))))))) # label(t47_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9831 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k3_oppcat_1(k2_oppcat_1(A),B) = k4_oppcat_1(A,B))))) # label(d3_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9832 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) <-> v6_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A))))))) # label(t26_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9833 (all A (l1_cat_1(A) & v2_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) -> k8_oppcat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)) = k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)))))))) # label(t50_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9834 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k5_oppcat_1(A,k6_oppcat_1(A,B)) = B)))) # label(t8_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9835 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k3_oppcat_1(A,B))))) # label(d2_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9836 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k10_cat_1(A,k4_oppcat_1(A,B)) = k6_oppcat_1(A,k10_cat_1(k2_oppcat_1(A),B)))))) # label(t22_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9837 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k5_oppcat_1(A,k10_cat_1(A,B)) = k10_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)))))) # label(t21_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9838 (all A all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k4_oppcat_1(A,B),u1_cat_1(A)))) # label(dt_k4_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9839 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k5_oppcat_1(A,B),u2_cat_1(k2_oppcat_1(A))))) # label(dt_k5_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9840 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)),D))))))))) # label(t46_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9841 (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_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> (all E (v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_1(E) -> k8_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E)) = k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),u2_cat_1(C),k8_oppcat_1(A,B,D),E))))))))))) # label(t53_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9842 (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_1(D) & -v1_xboole_0(B) -> v1_funct_1(k1_oppcat_1(A,B,C,D)) & m2_relset_1(k1_oppcat_1(A,B,C,D),k2_zfmisc_1(B,A),C))) # label(dt_k1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9843 (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 (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) = k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) & 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,k2_cat_1(A,D))))) & (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) & m1_subset_1(E,u1_cat_1(B)))))) <-> m1_oppcat_1(C,A,B)))))))) # label(d7_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9844 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(C) & l1_cat_1(A) -> m2_relset_1(k7_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(k7_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(k7_oppcat_1(A,B,C)))) # label(dt_k7_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9845 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m1_oppcat_1(E,B,C) -> m1_oppcat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t61_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9846 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k2_oppcat_1(A))) -> (k2_cat_1(k2_oppcat_1(A),C) = k3_cat_1(k2_oppcat_1(A),B) -> k6_oppcat_1(A,k4_cat_1(k2_oppcat_1(A),B,C)) = k4_cat_1(A,k6_oppcat_1(A,C),k6_oppcat_1(A,B))))))))) # label(t19_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9847 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) -> k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(k2_oppcat_1(B)),u2_cat_1(k2_oppcat_1(C)),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,D)),k9_oppcat_1(k2_oppcat_1(B),C,k8_oppcat_1(B,C,E))) = k9_oppcat_1(k2_oppcat_1(A),C,k8_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E))))))))))))) # label(t55_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9848 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k2_cat_1(A,k6_oppcat_1(A,B)) = k4_oppcat_1(A,k3_cat_1(k2_oppcat_1(A),B)) & k3_cat_1(A,k6_oppcat_1(A,B)) = k4_oppcat_1(A,k2_cat_1(k2_oppcat_1(A),B)))))) # label(t12_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9849 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k5_oppcat_1(A,B))))) # label(d4_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9850 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v3_cat_1(B,A) <-> v4_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A))))))) # label(t24_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9851 (all A (l1_cat_1(A) & v2_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 (m2_relset_1(D,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),D,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k6_oppcat_1(A,E)))) <-> k8_oppcat_1(A,B,C) = D))))))))) # label(d8_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9852 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k5_oppcat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = B)))) # label(t6_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9853 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) -> k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C),k5_oppcat_1(A,B)) = k5_oppcat_1(A,k4_cat_1(A,B,C))))))))) # label(t17_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9854 (all A all B (-v3_struct_0(A) & l3_lattices(A) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & v10_lattices(A) -> r1_filter_1(A,A))) # label(reflexivity_r1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9855 (all A (-v1_xboole_0(A) -> (all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(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) -> (m2_filter_1(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & m2_relset_1(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) -> ((all E all F all G all H (r2_hidden(G,E) & r2_hidden(H,F) & r2_hidden(F,k8_eqrel_1(A,B)) & r2_hidden(E,k8_eqrel_1(A,B)) -> k1_binop_1(D,E,F) = k6_eqrel_1(A,B,k1_binop_1(C,G,H)))) <-> k4_filter_1(A,B,C) = D)))))))))) # label(d4_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9856 (all A all B all C (v1_partfun1(B,A,A) & m1_subset_1(C,A) & m1_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) & -v1_xboole_0(A) -> m2_subset_1(k2_filter_1(A,B,C),k1_zfmisc_1(A),k8_eqrel_1(A,B)))) # label(dt_k2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9857 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_filter_1(A,B,k4_lattices(A,C,D)) = k4_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)) & k6_filter_1(A,B,k3_lattices(A,C,D)) = k3_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)))))))))) # label(t15_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9858 (all A all B all C (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & m1_relset_1(B,A,A) & v8_relat_2(B) & -v1_xboole_0(A) -> v1_funct_1(k3_filter_1(A,B,C)) & v1_funct_2(k3_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & m2_relset_1(k3_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)))) # label(dt_k3_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9859 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_filter_0(B,A) -> -v3_struct_0(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & v17_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)))))) # label(t21_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9860 (all A all B (v1_relat_1(B) & -v1_xboole_0(A) -> (all C (m2_filter_1(C,A,B) -> v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(dt_m2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9861 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (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)) -> k10_filter_1(A,B,k3_lattices(A,C,D),k3_lattices(B,E,F)) = k3_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) & k10_filter_1(A,B,k4_lattices(A,C,D),k4_lattices(B,E,F)) = k4_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)))))))))))))) # label(t36_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9862 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) -> (r6_binop_1(B,E,F) & r6_binop_1(A,C,D) <-> r6_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t30_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9863 (all A (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(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,k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,D,C)),k4_filter_0(A,k3_lattices(A,B,D),C)))))))))) # label(t57_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9864 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> (m1_filter_1(C,A,B) -> (all D (m2_relset_1(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & v1_funct_2(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & v1_funct_1(D) -> (k3_filter_1(A,B,C) = D <-> (all E all F (r2_hidden(F,E) & r2_hidden(E,k8_eqrel_1(A,B)) -> k1_funct_1(D,E) = k6_eqrel_1(A,B,k1_funct_1(C,F)))))))))))))) # label(d3_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9865 (all A (-v1_xboole_0(A) -> (all B (v1_relat_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) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (r2_hidden(k1_domain_1(A,A,D,E),B) & r2_hidden(k1_domain_1(A,A,F,G),B) -> r2_hidden(k1_domain_1(A,A,k2_binop_1(A,A,A,C,D,F),k2_binop_1(A,A,A,C,E,G)),B)))))))))) <-> m2_filter_1(C,A,B)))))))) # label(d2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9866 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) -> k8_filter_1(A,B) = g3_lattices(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k7_filter_1(u1_struct_0(A),u1_struct_0(B),u2_lattices(A),u2_lattices(B)),k7_filter_1(u1_struct_0(A),u1_struct_0(B),u1_lattices(A),u1_lattices(B))))))) # label(d7_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9867 (all A all B all C all D (l3_lattices(A) & v10_lattices(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & -v3_struct_0(B) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k10_filter_1(A,B,C,D),u1_struct_0(k8_filter_1(A,B))))) # label(dt_k10_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9868 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (all C (m1_filter_1(C,A,B) -> m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C))))) # label(dt_m1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9869 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (exists C m2_filter_1(C,A,B)))) # label(existence_m2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9870 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (v2_binop_1(C,A) -> v2_binop_1(k4_filter_1(A,B,C),k8_eqrel_1(A,B))))))))) # label(t5_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9871 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r3_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) <-> r3_lattices(A,C,D) & r3_lattices(B,E,F)))))))))))))) # label(t37_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9872 (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)) -> (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all D (m1_subset_1(D,u1_struct_0(k5_filter_1(A,B))) -> ((all E (v3_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(A)) -> (E = k10_filter_0(A,B) -> D = k2_filter_1(u1_struct_0(A),E,C)))) <-> k6_filter_1(A,B,C) = D)))))))))) # label(d6_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9873 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k1_relat_1(k9_filter_1(A)) = u1_struct_0(A) & u1_struct_0(A) = k2_relat_1(k9_filter_1(A)) & k3_relat_1(k9_filter_1(A)) = u1_struct_0(A))) # label(t33_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9874 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v13_lattices(A) -> -v3_struct_0(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & k6_filter_1(A,B,k5_lattices(A)) = k5_lattices(k5_filter_1(A,B)) & v13_lattices(k5_filter_1(A,B))))))) # label(t18_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9875 (all A all B all C (v10_lattices(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & -v3_struct_0(A) -> k1_filter_1(A,C,B) = k1_filter_1(A,B,C))) # label(commutativity_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9876 (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_filter_0(A,B) = k2_filter_0(A,C) -> C = B))))))) # label(t2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9877 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (v14_lattices(B) & v14_lattices(A) <-> v14_lattices(k8_filter_1(A,B))))))) # label(t41_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9878 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & v10_lattices(A) -> B = k1_filter_1(A,B,B))) # label(idempotence_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9879 (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(fc1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9880 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> m2_filter_1(u1_lattices(A),u1_struct_0(A),k11_filter_0(A,B)))))) # label(t14_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9881 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k4_filter_0(A,C,D),B) <-> r3_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D))))))))))) # label(t16_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9882 (all A all B (v10_lattices(A) & l3_lattices(A) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & -v3_struct_0(A) -> (r1_filter_1(A,B) -> r1_filter_1(B,A)))) # label(symmetry_r1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9883 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v10_lattices(A) & v11_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & v11_lattices(B) & l3_lattices(B) & l3_lattices(A) & -v3_struct_0(A) <-> v11_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B))))))) # label(t39_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9884 (all A all B (-v3_struct_0(A) & -v3_struct_0(B) & l3_lattices(B) & l3_lattices(A) -> v3_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)))) # label(dt_k8_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9885 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v16_lattices(B) & v15_lattices(B) <-> v10_lattices(k8_filter_1(A,B)) & v15_lattices(k8_filter_1(A,B)) & v16_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B))))))) # label(t46_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9886 (all A all B all C (-v1_xboole_0(A) & v8_relat_2(B) & m1_subset_1(C,A) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> k6_eqrel_1(A,B,C) = k2_filter_1(A,B,C))) # label(redefinition_k2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9887 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_filter_0(A,B,k4_filter_0(A,C,D)) = k4_filter_0(A,k4_lattices(A,B,C),D))))))))) # label(t17_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9888 (all A (m1_subset_1(A,f1_s1_filter_1) -> p1_s1_filter_1(k2_filter_1(f1_s1_filter_1,f2_s1_filter_1,A)))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s1_filter_1),k8_eqrel_1(f1_s1_filter_1,f2_s1_filter_1)) -> p1_s1_filter_1(A))) # label(s1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9889 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r3_binop_1(A,C,D) -> r3_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t8_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9890 (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)) -> r1_filter_1(A,k8_filter_1(k5_filter_1(A,k2_filter_0(A,B)),k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t62_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9891 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (exists C m1_filter_1(C,A,B)))) # label(existence_m1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9892 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (-v3_struct_0(C) & v10_lattices(C) & l3_lattices(C) -> (r1_filter_1(B,C) & r1_filter_1(A,B) -> r1_filter_1(A,C)))))))) # label(t34_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9893 (all A (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,k3_lattices(A,C,D))) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,k4_lattices(A,B,D),C)) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,k3_lattices(A,D,C))) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,k4_lattices(A,D,B),C)))))))))) # label(t56_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9894 (all A (m1_subset_1(A,f1_s5_filter_1) -> (all B (m1_subset_1(B,f1_s5_filter_1) -> (all C (m1_subset_1(C,f2_s5_filter_1) -> (all D (m1_subset_1(D,f2_s5_filter_1) -> p1_s5_filter_1(k1_domain_1(f1_s5_filter_1,f2_s5_filter_1,A,C),k1_domain_1(f1_s5_filter_1,f2_s5_filter_1,B,D)))))))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s5_filter_1,f2_s5_filter_1)) -> (all B (m1_subset_1(B,k2_zfmisc_1(f1_s5_filter_1,f2_s5_filter_1)) -> p1_s5_filter_1(A,B))))) # label(s5_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9895 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> r1_filter_1(k8_filter_1(A,B),k8_filter_1(B,A)))))) # label(t50_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9896 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m2_relset_1(E,k2_zfmisc_1(A,A),A) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r2_binop_1(B,D,F) & r2_binop_1(A,C,E) <-> r2_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F))))))))))))))) # label(t26_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9897 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> m2_relset_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v1_funct_2(k7_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v1_funct_1(k7_filter_1(A,B,C,D)))) # label(dt_k7_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9898 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r3_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F)) <-> r3_binop_1(B,D,F) & r3_binop_1(A,C,E)))))))))))))) # label(t27_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9899 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r6_binop_1(A,C,D) -> r6_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t11_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9900 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (v1_binop_1(C,A) -> v1_binop_1(k4_filter_1(A,B,C),k8_eqrel_1(A,B))))))))) # label(t4_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9901 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k9_filter_0(A,B,D) = k9_filter_0(A,B,C) -> D = C))))))))) # label(t53_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9902 (all A (m1_subset_1(A,f1_s3_filter_1) -> (all B (m1_subset_1(B,f1_s3_filter_1) -> (all C (m1_subset_1(C,f1_s3_filter_1) -> p1_s3_filter_1(k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,A),k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,B),k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,C)))))))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> (all B (m2_subset_1(B,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> (all C (m2_subset_1(C,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> p1_s3_filter_1(A,B,C))))))) # label(s3_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9903 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) -> (v1_binop_1(C,A) & v1_binop_1(D,B) <-> v1_binop_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(A,B))))))))))) # label(t23_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.89 9904 (all A (m1_subset_1(A,f1_s6_filter_1) -> (all B (m1_subset_1(B,f1_s6_filter_1) -> (all C (m1_subset_1(C,f1_s6_filter_1) -> (all D (m1_subset_1(D,f2_s6_filter_1) -> (all E (m1_subset_1(E,f2_s6_filter_1) -> (all F (m1_subset_1(F,f2_s6_filter_1) -> p1_s6_filter_1(k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,A,D),k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,B,E),k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,C,F)))))))))))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> (all B (m1_subset_1(B,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> (all C (m1_subset_1(C,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> p1_s6_filter_1(A,B,C))))))) # label(s6_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9905 (all A (m1_subset_1(A,f1_s4_filter_1) -> (all B (m1_subset_1(B,f2_s4_filter_1) -> p1_s4_filter_1(k1_domain_1(f1_s4_filter_1,f2_s4_filter_1,A,B)))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s4_filter_1,f2_s4_filter_1)) -> p1_s4_filter_1(A))) # label(s4_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9906 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & v10_lattices(A) & v10_lattices(B) & v13_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v13_lattices(A) -> k5_lattices(k8_filter_1(A,B)) = k10_filter_1(A,B,k5_lattices(A),k5_lattices(B))))))) # label(t43_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9907 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> ((exists C exists D (m1_subset_1(D,u1_struct_0(B)) & r3_lattices(B,C,D) & k1_domain_1(u1_struct_0(B),u1_struct_0(B),C,D) = A & m1_subset_1(C,u1_struct_0(B)))) <-> r2_hidden(A,a_1_0_filter_1(B))))) # label(fraenkel_a_1_0_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9908 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r2_binop_1(A,C,D) -> r2_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t7_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9909 (all A (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> v10_lattices(k5_filter_1(A,B)) & k6_lattices(k5_filter_1(A,B)) = k6_filter_1(A,B,k6_lattices(A)) & l3_lattices(k5_filter_1(A,B)) & v14_lattices(k5_filter_1(A,B)) & -v3_struct_0(k5_filter_1(A,B)))))) # label(t19_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9910 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (v1_funct_1(G) & m2_relset_1(G,k2_zfmisc_1(A,A),A) & v1_funct_2(G,k2_zfmisc_1(A,A),A) -> (all H (m2_relset_1(H,k2_zfmisc_1(B,B),B) & v1_funct_2(H,k2_zfmisc_1(B,B),B) & v1_funct_1(H) -> k2_binop_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k7_filter_1(A,B,G,H),k1_domain_1(A,B,C,E),k1_domain_1(A,B,D,F)) = k1_domain_1(A,B,k2_binop_1(A,A,A,G,C,D),k2_binop_1(B,B,B,H,E,F)))))))))))))))))) # label(t22_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9911 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & v1_funct_1(E) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r1_binop_1(B,D,F) & r1_binop_1(A,C,E) <-> r1_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F))))))))))))))) # label(t25_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9912 (all A (m1_subset_1(A,f1_s2_filter_1) -> (all B (m1_subset_1(B,f1_s2_filter_1) -> p1_s2_filter_1(k2_filter_1(f1_s2_filter_1,f2_s2_filter_1,A),k2_filter_1(f1_s2_filter_1,f2_s2_filter_1,B)))))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s2_filter_1),k8_eqrel_1(f1_s2_filter_1,f2_s2_filter_1)) -> (all B (m2_subset_1(B,k1_zfmisc_1(f1_s2_filter_1),k8_eqrel_1(f1_s2_filter_1,f2_s2_filter_1)) -> p1_s2_filter_1(A,B))))) # label(s2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9913 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> C = k9_filter_0(A,B,k9_filter_0(A,B,C)))))))) # label(t54_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9914 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (v13_lattices(B) & v13_lattices(A) <-> v13_lattices(k8_filter_1(A,B))))))) # label(t40_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9915 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) -> (r4_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F)) <-> r4_binop_1(B,E,F) & r4_binop_1(A,C,D)))))))))))))) # label(t28_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9916 (all A all B (v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,A) & -v3_struct_0(A) -> -v3_struct_0(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & v3_lattices(k5_filter_1(A,B)))) # label(dt_k5_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9917 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (v3_filter_0(k8_filter_1(A,B)) <-> v3_filter_0(A) & v3_filter_0(B)))))) # label(t48_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9918 (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,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v2_binop_1(C,A) & v2_binop_1(D,B) <-> v2_binop_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(A,B))))))))))) # label(t24_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9919 (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)) -> k9_filter_0(A,B,C) = k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,k7_lattices(A,B),k7_lattices(A,C))))))))) # label(t51_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9920 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> k3_funct_4(C,D) = k7_filter_1(A,B,C,D))) # label(redefinition_k7_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9921 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v12_lattices(A) & v12_lattices(B) <-> v12_lattices(k8_filter_1(A,B))))))) # label(t38_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9922 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all C (v10_lattices(C) & l3_lattices(C) & v3_lattices(C) & -v3_struct_0(C) -> (k5_filter_1(A,B) = C <-> (all D (v3_relat_2(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(D,u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(D) -> (k10_filter_0(A,B) = D -> C = g3_lattices(k8_eqrel_1(u1_struct_0(A),D),k4_filter_1(u1_struct_0(A),D,u2_lattices(A)),k4_filter_1(u1_struct_0(A),D,u1_lattices(A)))))))))))))) # label(d5_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9923 (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)) -> r2_hidden(k3_lattices(A,B,k9_filter_0(A,B,C)),k2_filter_1(u1_struct_0(A),k12_filter_0(A,k2_filter_0(A,C)),B)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,k2_filter_1(u1_struct_0(A),k12_filter_0(A,k2_filter_0(A,C)),B)) -> r3_lattices(A,D,k3_lattices(A,B,k9_filter_0(A,B,C)))))))))))) # label(t61_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9924 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) -> m1_filter_0(k1_filter_1(A,B,C),A))) # label(dt_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9925 (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)) -> r3_lattices(A,k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,D)),k4_filter_0(A,B,k4_lattices(A,C,D))))))))))) # label(t58_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9926 (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(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k9_filter_1(A)) <-> r3_lattices(A,B,C)))))))) # label(t32_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9927 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(B) & v14_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) -> k10_filter_1(A,B,k6_lattices(A),k6_lattices(B)) = k6_lattices(k8_filter_1(A,B))))))) # label(t44_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9928 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (all E (m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r5_binop_1(A,C,D) & r5_binop_1(B,E,F) <-> r5_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t29_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9929 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (m1_filter_1(C,A,B) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (r2_hidden(k1_domain_1(A,A,D,E),B) -> r2_hidden(k1_domain_1(A,A,k8_funct_2(A,A,C,D),k8_funct_2(A,A,C,E)),B))))))))))))) # label(d1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9930 (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,B,k7_lattices(A,C)) = k7_lattices(A,k4_filter_0(A,B,C)) & k7_lattices(A,k9_filter_0(A,B,C)) = k3_lattices(A,k4_lattices(A,B,k7_lattices(A,C)),k4_lattices(A,k7_lattices(A,B),C)) & k7_lattices(A,k9_filter_0(A,B,C)) = k9_filter_0(A,k7_lattices(A,B),C) & k9_filter_0(A,B,k7_lattices(A,C)) = k7_lattices(A,k9_filter_0(A,B,C)))))))) # label(t52_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9931 (all A (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> v3_filter_0(k5_filter_1(A,B)))))) # label(t20_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9932 (all A all B all C all D (-v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & v10_lattices(B) & v10_lattices(A) -> k10_filter_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k10_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9933 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m2_filter_1(E,A,B) -> k2_filter_1(A,B,k2_binop_1(A,A,A,E,C,D)) = k2_binop_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B),k8_eqrel_1(A,B),k4_filter_1(A,B,E),k2_filter_1(A,B,C),k2_filter_1(A,B,D)))))))))))) # label(t3_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9934 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r5_binop_1(A,C,D) -> r5_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t10_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9935 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r4_binop_1(A,C,D) -> r4_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t9_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9936 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r1_lattice2(A,C,D) -> r1_lattice2(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t12_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9937 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) -> -v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v10_lattices(A)))))) # label(t35_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9938 (all A all B (-v3_struct_0(A) & l3_lattices(A) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & v10_lattices(A) -> v8_lattices(k8_filter_1(A,B)) & v9_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & v7_lattices(k8_filter_1(A,B)) & v6_lattices(k8_filter_1(A,B)) & v5_lattices(k8_filter_1(A,B)) & v4_lattices(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B)))) # label(fc3_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9939 (all A all B (l3_lattices(A) & l3_lattices(B) & -v3_struct_0(B) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)))) # label(fc2_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9940 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (r4_wellord1(k9_filter_1(A),k9_filter_1(B)) <-> r1_filter_1(A,B)))))) # label(d9_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9941 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> a_1_0_filter_1(A) = k9_filter_1(A))) # label(d8_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9942 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k6_filter_1(A,B,C),u1_struct_0(k5_filter_1(A,B))))) # label(dt_k6_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9943 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (-v3_struct_0(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v17_lattices(k8_filter_1(A,B)) <-> -v3_struct_0(A) & l3_lattices(A) & l3_lattices(B) & v17_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & v17_lattices(A) & v10_lattices(A)))))) # label(t47_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9944 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(E,k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) & r2_hidden(C,k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) -> r2_hidden(k4_lattices(A,C,E),k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) & r2_hidden(k3_lattices(A,C,E),k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D))))))))))))) # label(t60_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9945 (all A (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_filter_1(u2_lattices(A),u1_struct_0(A),k11_filter_0(A,B)))))) # label(t13_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9946 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (r2_hidden(k9_filter_0(A,E,F),B) & r2_hidden(k9_filter_0(A,C,D),B) -> r2_hidden(k9_filter_0(A,k4_lattices(A,C,E),k4_lattices(A,D,F)),B) & r2_hidden(k9_filter_0(A,k3_lattices(A,C,E),k3_lattices(A,D,F)),B)))))))))))))) # label(t59_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9947 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (-v3_struct_0(A) & v15_lattices(A) & v10_lattices(B) & v15_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) -> (r2_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) <-> r2_lattices(B,E,F) & r2_lattices(A,C,D))))))))))))))) # label(t45_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9948 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> v1_relat_1(k9_filter_1(A)))) # label(dt_k9_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9949 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r1_lattice2(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F)) <-> r1_lattice2(B,E,F) & r1_lattice2(A,C,D)))))))))))))) # label(t31_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9950 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_filter_0(A,C,B) = k4_filter_0(A,k3_lattices(A,B,C),B) & k4_filter_0(A,B,C) = k4_filter_0(A,B,k4_lattices(A,B,C)))))))) # label(t55_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9951 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r1_binop_1(A,C,D) -> r1_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t6_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9952 (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) -> m1_filter_0(k5_subset_1(u1_struct_0(A),B,C),A))))))) # label(t1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9953 (all A all B all C (v10_lattices(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & -v3_struct_0(A) -> k3_xboole_0(B,C) = k1_filter_1(A,B,C))) # label(redefinition_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9954 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (v15_lattices(k8_filter_1(A,B)) <-> v15_lattices(A) & v15_lattices(B)))))) # label(t42_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9955 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> k1_lattice2(k8_filter_1(A,B)) = k8_filter_1(k1_lattice2(A),k1_lattice2(B)))))) # label(t49_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9956 (all A all B all C (-v1_xboole_0(A) & v3_relat_2(B) & v8_relat_2(B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> v1_funct_2(k4_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & m2_relset_1(k4_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & v1_funct_1(k4_filter_1(A,B,C)))) # label(dt_k4_filter_1) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9957 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (exists D m1_nat_lat(D,A,B,C)))) # label(existence_m1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9958 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,B,A) = k1_binop_1(k1_nat_lat,A,B))))) # label(t62_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9959 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> m2_subset_1(k3_nat_lat(A),k1_numbers,k5_numbers))) # label(dt_k3_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9960 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (exists B (m2_nat_lat(B,A) & v3_lattices(B) & v4_lattices(B) & v5_lattices(B) & v6_lattices(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v10_lattices(B) & -v3_struct_0(B))))) # label(rc1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9961 $T # label(t25_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9962 $T # label(t42_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9963 $T # label(t39_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9964 $T # label(t46_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9965 $T # label(t21_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9966 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> A = k3_nat_lat(A))) # label(d5_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9967 $T # label(t43_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9968 (all A (m2_relset_1(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & v1_funct_2(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & v1_funct_1(A) -> ((all B (m1_nat_lat(B,k1_numbers,k5_numbers,k7_nat_lat) -> (all C (m1_nat_lat(C,k1_numbers,k5_numbers,k7_nat_lat) -> k2_binop_1(k7_nat_lat,k7_nat_lat,k7_nat_lat,A,B,C) = k6_nat_1(B,C))))) <-> k10_nat_lat = A))) # label(d12_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9969 $T # label(t26_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9970 (all A (m1_nat_lat(A,k1_numbers,k5_numbers,k7_nat_lat) -> k9_nat_lat(A) = A)) # label(d11_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9971 $T # label(d2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9972 $T # label(t9_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9973 $T # label(t24_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9974 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (all D (m1_nat_lat(D,A,B,C) -> m2_subset_1(D,A,B))))) # label(dt_m1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9975 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k1_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) = k5_nat_1(k3_nat_lat(A),k3_nat_lat(B)))))) # label(t48_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9976 $T # label(t3_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.09/145.90 9977 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) = k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,C,A),B) & k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) = k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,C,B),A) & k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) = k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,A,C),B) & k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,B,A),C) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)))))))) # label(t64_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9978 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B m2_nat_lat(B,A)))) # label(existence_m2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9979 $T # label(t51_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9980 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k6_nat_1(k12_nat_lat(A),k12_nat_lat(B)) = k2_lattices(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat),A,B))))) # label(t70_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9981 (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) -> ((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) = k6_nat_1(B,C))))) <-> A = k1_nat_lat))) # label(d3_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9982 $T # label(t18_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9983 $T # label(t71_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9984 $T # label(t57_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9985 $T # label(t47_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9986 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,A,B) = k1_binop_1(k2_nat_lat,B,A))))) # label(t61_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9987 $T # label(t29_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9988 $T # label(t28_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9989 $T # label(t19_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9990 (all A (m1_subset_1(A,k5_numbers) -> m1_nat_lat(k8_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k8_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9991 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9992 $T # label(t10_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9993 $T # label(t74_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9994 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9995 $T # label(t13_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9996 $T # label(t22_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9997 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> A = k1_binop_1(k1_nat_lat,A,k1_binop_1(k2_nat_lat,B,A)) & k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,A,B),A) = A & A = k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,B,A),A) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k2_nat_lat,A,B)) = A)))) # label(t67_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9998 $T # label(t14_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 9999 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> A = k12_nat_lat(A))) # label(d14_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10000 $T # label(t45_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10001 $T # label(t20_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10002 $T # label(t58_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10003 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_nat_lat(A,A))) # label(t75_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10004 $T # label(t37_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10005 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,k4_nat_lat) = k4_nat_lat & k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),k4_nat_lat,A) = k4_nat_lat)) # label(t56_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10006 $T # label(t73_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10007 $T # label(t59_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10008 $T # label(t33_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10009 $T # label(t17_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10010 $T # label(t50_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10011 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,A,k1_binop_1(k1_nat_lat,A,B)) = A & k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,A,B),A) = A & A = k1_binop_1(k2_nat_lat,A,k1_binop_1(k1_nat_lat,B,A)) & k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,B,A),A) = A)))) # label(t68_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10012 $T # label(t38_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10013 $T # label(t27_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10014 $T # label(t44_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10015 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) = k6_nat_1(k3_nat_lat(A),k3_nat_lat(B)))))) # label(t49_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10016 $T # label(t15_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10017 $T # label(t7_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10018 $T # label(t2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10019 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> A = k8_nat_lat(A)))) # label(d10_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10020 $T # label(t54_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10021 $T # label(t40_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10022 (all A (v1_funct_2(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & m2_relset_1(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & v1_funct_1(A) -> ((all B (m1_nat_lat(B,k1_numbers,k5_numbers,k7_nat_lat) -> (all C (m1_nat_lat(C,k1_numbers,k5_numbers,k7_nat_lat) -> k2_binop_1(k7_nat_lat,k7_nat_lat,k7_nat_lat,A,B,C) = k5_nat_1(B,C))))) <-> k11_nat_lat = A))) # label(d13_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10023 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (m2_nat_lat(B,A) <-> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & k1_realset1(u1_lattices(A),u1_struct_0(B)) = u1_lattices(B) & k1_realset1(u2_lattices(A),u1_struct_0(B)) = u2_lattices(B)))))) # label(d16_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10024 $T # label(t32_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10025 $T # label(t6_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10026 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,B),C) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)))))))) # label(t65_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10027 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> m1_nat_lat(k12_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k12_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10028 $T # label(t41_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10029 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,C),B) & k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,A),B) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) & k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,B),A) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) & k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,B,A),C) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)))))))) # label(t66_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10030 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k1_lattices(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat),A,B) = k5_nat_1(k12_nat_lat(A),k12_nat_lat(B)))))) # label(t69_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10031 $T # label(t53_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10032 $T # label(t72_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10033 $T # label(t23_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10034 $T # label(t30_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10035 $T # label(t8_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10036 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,A,B),C) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)))))))) # label(t63_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10037 $T # label(t1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10038 (all A (v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_1(A) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C) = k5_nat_1(B,C))))) <-> k2_nat_lat = A))) # label(d4_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10039 $T # label(t16_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10040 $T # label(t5_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10041 $T # label(t35_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10042 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (-r1_xreal_0(B,np__0) <-> r2_hidden(B,A)))) <-> k7_nat_lat = A))) # label(d9_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10043 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (r1_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) -> r1_nat_1(k3_nat_lat(A),k3_nat_lat(B))))))) # label(t52_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10044 $T # label(t31_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10045 $T # label(t12_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10046 $T # label(t36_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10047 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_nat_lat(B,A) -> v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B))))) # label(dt_m2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10048 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all D (m1_nat_lat(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10049 $T # label(t34_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10050 $T # label(d1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10051 $T # label(t4_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10052 $T # label(t11_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10053 (all A (m1_subset_1(A,k7_nat_lat) -> m1_nat_lat(k9_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k9_nat_lat) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10054 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_5(A,k1_group_1(A,B,C),D) = k1_group_1(A,k2_group_3(A,k2_group_5(A,B,D),C),k2_group_5(A,C,D)))))))))) # label(t28_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10055 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> k8_finseq_1(u1_struct_0(A),k1_group_5(A,C,B),k1_group_5(A,D,B)) = k1_group_5(A,k8_finseq_1(u1_struct_0(A),C,D),B))))))))) # label(t12_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10056 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,k2_group_5(A,B,C),k3_group_1(A,k1_group_1(A,C,B))) = k2_group_5(A,k3_group_1(A,B),k3_group_1(A,C)) & k2_group_3(A,k2_group_5(A,B,C),k3_group_1(A,k1_group_1(A,B,C))) = k2_group_5(A,k3_group_1(A,B),k3_group_1(A,C)))))))) # label(t32_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10057 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> m1_group_2(k8_group_5(A,B,C),C) & m1_group_2(k8_group_5(A,C,B),C))))))) # label(t76_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10058 (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))) -> k5_group_4(A,k4_group_5(A,B,C)) = k7_group_5(A,B,C))))))) # label(d7_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10059 (all A all B all C (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_finseq_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> m2_finseq_1(k1_group_5(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10060 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(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)) -> k2_group_1(A) = k2_group_5(A,B,C)))))))) # label(t40_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10061 (all A all B all C (-v3_struct_0(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)) & v3_group_1(A) -> m1_subset_1(k2_group_5(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10062 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,C,B) = k1_group_1(A,B,C) <-> k2_group_5(A,B,C) = k2_group_1(A)))))))) # label(t39_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10063 (all A (r2_hidden(A,a_0_0_group_5) <-> (exists B exists C exists D (m1_subset_1(C,f2_s1_group_5) & p1_s1_group_5(B,C,D) & f4_s1_group_5(B,C,D) = A & m1_subset_1(D,f3_s1_group_5) & m1_subset_1(B,f1_s1_group_5))))) # label(fraenkel_a_0_0_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10064 $T # label(t64_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10065 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_group_3(k10_group_5(A),A) & m1_group_2(k10_group_5(A),A))) # label(t90_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10066 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k7_rlvect_1(A,k2_group_3(A,B,D),k2_group_3(A,C,D)) = k1_group_5(A,k7_rlvect_1(A,B,C),D))))))))) # label(t15_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10067 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,k6_group_1(B,A,C),D) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),C),k6_group_1(B,A,k2_group_3(B,C,D))))))))))) # label(t35_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10068 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_2(k10_group_5(A),A) & v1_group_1(k10_group_5(A)))) # label(dt_k10_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10069 (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,C,B) = k1_group_1(A,B,C))) <-> r1_rlvect_1(k10_group_5(A),B)))))) # label(t89_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10070 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,k7_group_4(B,C,D)) <-> (exists E ((exists F (A = k1_group_1(B,E,F) & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t4_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10071 (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,k1_group_1(A,k2_group_3(A,k3_group_5(A,B,k3_group_1(A,C),D),C),k2_group_3(A,k3_group_5(A,C,k3_group_1(A,D),B),D)),k2_group_3(A,k3_group_5(A,D,k3_group_1(A,B),C),B)) = k2_group_1(A))))))))) # label(t50_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10072 (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)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),C),k6_group_1(B,A,k2_group_3(B,C,D))) = k2_group_5(B,k6_group_1(B,A,C),D))))))))) # label(t37_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10073 (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) & v1_group_3(C,A) -> r1_tarski(k5_group_5(A,C,B),k7_group_2(A,C)) & r1_tarski(k5_group_5(A,B,C),k7_group_2(A,C)))))))) # label(t61_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10074 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)),B),C) & k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k1_group_1(A,k3_group_1(A,C),B)),C) & k1_group_1(A,k3_group_1(A,B),k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C)) = k2_group_5(A,B,C) & k2_group_5(A,B,C) = k1_group_1(A,k3_group_1(A,B),k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C))) & k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)),k1_group_1(A,B,C)))))))) # label(t19_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10075 (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)) -> k3_group_5(A,B,C,k2_group_3(A,C,B)) = k2_group_5(A,C,k2_group_5(A,C,B)))))))) # label(t47_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10076 $T # label(t57_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10077 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> (all D (v1_group_3(D,A) & m1_group_2(D,A) & v1_group_1(D) -> r1_group_2(A,k8_group_5(A,B,k8_group_4(A,C,D)),k8_group_4(A,k8_group_5(A,B,C),k8_group_5(A,B,D))))))))))) # label(t80_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.90 10078 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_group_5(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)) = k6_domain_1(u1_struct_0(A),k2_group_5(A,B,C)))))))) # label(t54_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10079 (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) -> k5_group_5(A,B,C) = k4_group_5(A,k7_group_2(A,B),k7_group_2(A,C)))))))) # label(d5_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10080 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) <-> k10_group_5(A) = A))) # label(t94_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10081 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) <-> k6_group_5(A) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))) # label(t66_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10082 $T # label(t10_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10083 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v7_group_1(B) & v4_group_1(B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (A = k1_group_1(B,E,F) & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & m1_subset_1(F,u1_struct_0(B)))))) <-> r1_rlvect_1(k8_group_4(B,C,D),A))))))))) # label(t6_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10084 (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)) -> k2_group_5(A,k2_group_5(A,B,C),D) = k3_group_5(A,B,C,D))))))))) # label(d3_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10085 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,C,B) = k3_group_1(A,k2_group_5(A,B,C)))))))) # label(t25_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10086 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (r1_rlvect_1(k9_group_5(B),A) <-> (exists C ((exists D (r1_tarski(k2_relat_1(C),k6_group_5(B)) & A = k3_group_4(B,k4_group_4(B,D,C)) & k3_finseq_1(D) = k3_finseq_1(C) & m2_finseq_1(D,k4_numbers))) & m2_finseq_1(C,u1_struct_0(B))))))) # label(t83_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10087 (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,k1_group_1(A,k6_group_1(A,np__2,k3_group_1(A,B)),k6_group_1(A,np__2,k1_group_1(A,B,k3_group_1(A,C)))),k6_group_1(A,np__2,C)) = k2_group_5(A,B,C))))))) # label(t27_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10088 $T # label(t87_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10089 (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))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,E) & r1_tarski(B,C) -> m1_group_2(k7_group_5(A,B,D),k7_group_5(A,C,E))))))))))))) # label(t70_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10090 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k6_group_5(A) = k5_group_5(A,k6_group_2(A),k6_group_2(A)))) # label(d6_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10091 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_5(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k2_group_3(A,B,C)))))))) # label(t14_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10092 (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) = k3_group_5(A,B,C,k2_group_1(A)) & k2_group_1(A) = k3_group_5(A,k2_group_1(A),B,C) & k2_group_1(A) = k3_group_5(A,B,k2_group_1(A),C))))))) # label(t43_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10093 $T # label(t51_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10094 (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)) -> k1_xboole_0 = k1_group_5(A,k6_finseq_1(u1_struct_0(A)),B))))) # label(t13_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10095 (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_5(A,B,C)) & m1_group_2(k8_group_5(A,B,C),A))) # label(dt_k8_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10096 (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)) -> k2_group_3(A,k2_group_5(A,C,B),k3_group_1(A,C)) = k2_group_5(A,B,k3_group_1(A,C)))))))) # label(t31_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10097 $T # label(t67_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10098 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,k2_group_3(A,B,k3_group_1(A,C)),C) = k2_group_5(A,k3_group_1(A,C),B))))))) # label(t34_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10099 (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)) -> (r1_rlvect_1(k10_group_5(A),B) <-> k6_domain_1(u1_struct_0(A),B) = k7_group_3(A,B)))))) # label(t93_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10100 (all A all B all C all D (l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> ((exists E exists F (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,C) & r2_hidden(F,D) & k2_group_5(B,E,F) = A & m1_subset_1(F,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_group_5(B,C,D))))) # label(fraenkel_a_3_0_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10101 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_5(A,k2_group_3(A,B,D),k2_group_3(A,C,D)) = k2_group_3(A,k2_group_5(A,B,C),D))))))))) # label(t26_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10102 (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))) -> (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)) & r2_hidden(F,D) & r2_hidden(E,C) & k2_group_5(B,E,F) = A)))) <-> r2_hidden(A,k4_group_5(B,C,D))))))))) # label(t52_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10103 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k2_group_3(A,k3_group_4(A,C),B) = k3_group_4(A,k1_group_5(A,C,B)))))))) # label(t17_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10104 (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) -> (all D (m1_group_2(D,B) -> (k7_group_4(B,D,C) = k7_group_4(B,C,D) -> (r1_rlvect_1(k8_group_4(B,C,D),A) <-> (exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & r1_rlvect_1(C,E) & r1_rlvect_1(D,F) & k1_group_1(B,E,F) = A)) & m1_subset_1(E,u1_struct_0(B)))))))))))) # label(t5_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10105 (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))) -> -(k1_xboole_0 != C & k4_group_5(A,B,C) != k6_domain_1(u1_struct_0(A),k2_group_1(A)) & B != k1_xboole_0))))) <-> l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t56_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10106 (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,k2_group_3(A,k3_group_1(A,C),B),C) = k2_group_5(A,B,C) & k1_group_1(A,k3_group_1(A,B),k2_group_3(A,B,C)) = k2_group_5(A,B,C))))))) # label(t21_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10107 (all A all B all C (v4_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10108 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,k2_group_3(A,B,C),B) = k3_group_5(A,B,C,B))))))) # label(t45_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10109 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k6_group_5(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k6_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10110 (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) -> (all E (m1_group_2(E,A) -> (r1_rlvect_1(E,C) & r1_rlvect_1(D,B) -> r1_rlvect_1(k8_group_5(A,D,E),k2_group_5(A,B,C))))))))))))) # label(t74_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10111 (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) -> k5_group_5(A,B,k5_group_2(A)) = k6_domain_1(u1_struct_0(A),k2_group_1(A)) & k5_group_5(A,k5_group_2(A),B) = k6_domain_1(u1_struct_0(A),k2_group_1(A)))))) # label(t60_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10112 (all A all B all C all D (v4_group_1(A) & l1_group_1(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)) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_5(A,B,C,D),u1_struct_0(A)))) # label(dt_k3_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10113 (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) = k2_group_5(A,k3_group_1(A,B),B) & k2_group_1(A) = k2_group_5(A,B,k3_group_1(A,B)))))) # label(t24_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10114 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k2_group_3(A,B,C))))))))))) # label(t2_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10115 (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))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_rlvect_1(k7_group_5(B,C,D),A) <-> (exists E ((exists F (m2_finseq_1(F,k4_numbers) & k3_finseq_1(E) = k3_finseq_1(F) & A = k3_group_4(B,k4_group_4(B,F,E)) & r1_tarski(k2_relat_1(E),k4_group_5(B,C,D)))) & m2_finseq_1(E,u1_struct_0(B))))))))))) # label(t69_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10116 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,k4_numbers) -> k1_group_5(A,k4_group_4(A,D,C),B) = k4_group_4(A,D,k1_group_5(A,C,B)))))))))) # label(t18_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10117 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) = k3_group_5(A,B,B,C))))))) # label(t44_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10118 (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,k1_group_1(A,C,B)),k1_group_1(A,B,C)) = k2_group_5(A,B,C))))))) # label(t20_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10119 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) <-> r1_group_2(A,k9_group_5(A),k5_group_2(A))))) # label(t85_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10120 $T # label(t42_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10121 $T # label(t88_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10122 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_group_1(k9_group_5(A)) & v1_group_3(k9_group_5(A),A) & m1_group_2(k9_group_5(A),A))) # label(dt_k9_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10123 (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) -> r2_hidden(k2_group_1(A),k5_group_5(A,B,C)))))))) # label(t59_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10124 (all A all B all C (v4_group_1(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))) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k7_group_5(A,B,C),A) & v1_group_1(k7_group_5(A,B,C)))) # label(dt_k7_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10125 $T # label(t9_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10126 (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_3(A,k2_group_5(A,C,B),k3_group_1(A,B)) = k2_group_5(A,k3_group_1(A,B),C))))))) # label(t30_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10127 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,k9_group_5(A),k5_group_4(A,k6_group_5(A))))) # label(t82_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10128 $T # label(t11_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10129 (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,k1_group_1(A,k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)),B),C) = k2_group_5(A,B,C))))))) # label(d2_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10130 (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_group_2(A,k8_group_5(A,B,C),k5_group_4(A,k5_group_5(A,B,C))))))))) # label(t72_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10131 (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_3(C,A) -> k7_group_4(A,B,C) = k7_group_4(A,C,B))))))) # label(t8_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10132 (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_5(A,B,k1_group_1(A,C,D)) = k1_group_1(A,k2_group_5(A,B,D),k2_group_3(A,k2_group_5(A,B,C),D)))))))))) # label(t29_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10133 $T # label(t81_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10134 $T # label(t71_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10135 (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,k6_group_1(B,k4_xcmplx_0(A),k2_group_3(B,D,C)),k6_group_1(B,A,D)) = k2_group_5(B,C,k6_group_1(B,A,D)))))))))) # label(t38_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10136 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> m1_group_2(k8_group_5(A,B,C),A) & v1_group_3(k8_group_5(A,B,C),A))))))) # label(t77_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10137 (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) -> (all E (m1_group_2(E,A) -> (m1_group_2(B,C) & m1_group_2(D,E) -> m1_group_2(k8_group_5(A,B,D),k8_group_5(A,C,E))))))))))))) # label(t75_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10138 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,B) & v1_group_3(C,B) -> (all D (m1_group_2(D,B) & v1_group_3(D,B) & v1_group_1(D) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & A = k1_group_1(B,E,F))))) <-> r1_rlvect_1(k8_group_4(B,C,D),A)))))))) # label(t7_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10139 (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,k10_group_5(A)) -> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t91_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10140 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k8_group_5(A,k6_group_2(A),k6_group_2(A)) = k9_group_5(A))) # label(d9_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10141 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (A = k2_group_5(B,E,F) & r1_rlvect_1(C,E) & r1_rlvect_1(D,F) & m1_subset_1(F,u1_struct_0(B)))))) <-> r2_hidden(A,k5_group_5(B,C,D))))))))) # label(t58_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10142 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k1_group_5(A,B,C) = D <-> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k2_group_3(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),C) = k1_funct_1(D,E)))) & k3_finseq_1(D) = k3_finseq_1(B)))))))))) # label(d1_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10143 (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) -> k7_group_5(A,k7_group_2(A,B),k7_group_2(A,C)) = k8_group_5(A,B,C))))))) # label(d8_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10144 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),k2_group_3(B,D,C)),k6_group_1(B,A,D)))))))))) # label(t36_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10145 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_rlvect_1(k9_group_5(A),k2_group_5(A,B,C)))))))) # label(t84_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10146 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k1_group_1(A,k2_group_5(A,B,D),k2_group_5(A,B,C)),k3_group_5(A,B,C,D)) = k2_group_5(A,B,k1_group_1(A,C,D)))))))))) # label(t49_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10147 (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) -> (B = k10_group_5(A) <-> a_1_0_group_5(A) = u1_struct_0(B)))))) # label(d10_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10148 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (all E (m1_group_2(E,A) -> (m1_group_2(B,C) & m1_group_2(D,E) -> r1_tarski(k5_group_5(A,B,D),k5_group_5(A,C,E))))))))))))) # label(t62_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10149 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v7_group_1(k10_group_5(A)))) # label(t92_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10150 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> r1_group_2(A,k8_group_5(A,B,C),k8_group_5(A,C,B)))))))) # label(t78_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10151 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> ((exists C ((exists D (m1_subset_1(D,u1_struct_0(B)) & A = k2_group_5(B,C,D))) & m1_subset_1(C,u1_struct_0(B)))) <-> r2_hidden(A,k6_group_5(B))))) # label(t65_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10152 (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))) -> k4_group_5(A,B,C) = a_3_0_group_5(A,B,C))))))) # label(d4_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10153 (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))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,E) & r1_tarski(B,C) -> r1_tarski(k4_group_5(A,B,D),k4_group_5(A,C,E))))))))))))) # label(t55_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10154 (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_xboole_0 = k4_group_5(A,B,k1_subset_1(u1_struct_0(A))) & k4_group_5(A,k1_subset_1(u1_struct_0(A)),B) = k1_xboole_0)))) # label(t53_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10155 (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,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & r2_hidden(C,E) -> r1_rlvect_1(k7_group_5(A,D,E),k2_group_5(A,B,C))))))))))))) # label(t68_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10156 (all A all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> ((exists E (m2_finseq_1(E,u1_struct_0(B)) & (exists F (m2_finseq_1(F,k4_numbers) & k3_group_4(B,k4_group_4(B,F,E)) = A & r1_tarski(k2_relat_1(E),k5_group_5(B,C,D)) & k3_finseq_1(F) = k3_finseq_1(E))))) <-> r1_rlvect_1(k8_group_5(B,C,D),A)))))))) # label(t73_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10157 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r1_rlvect_1(D,C) & r1_rlvect_1(D,B) -> r1_rlvect_1(D,k2_group_5(A,B,C))))))))))) # label(t41_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10158 (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)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_rlvect_1(A,k2_group_3(A,B,E),k2_group_3(A,C,E),k2_group_3(A,D,E)) = k1_group_5(A,k8_rlvect_1(A,B,C,D),E))))))))))) # label(t16_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10159 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> ((exists C (m1_subset_1(C,u1_struct_0(B)) & (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_group_1(B,D,C) = k1_group_1(B,C,D))) & A = C)) <-> r2_hidden(A,a_1_0_group_5(B))))) # label(fraenkel_a_1_0_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10160 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> (all D (v1_group_3(D,A) & m1_group_2(D,A) & v1_group_1(D) -> r1_group_2(A,k8_group_5(A,k8_group_4(A,B,C),D),k8_group_4(A,k8_group_5(A,B,D),k8_group_5(A,C,D))))))))))) # label(t79_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10161 (all A all B all C (m1_group_2(C,A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10162 (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_5(A,B,C,C) = k2_group_3(A,k1_group_1(A,k2_group_5(A,B,k3_group_1(A,C)),k2_group_5(A,B,C)),C))))))) # label(t46_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10163 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (k2_group_1(B) = A <-> r1_rlvect_1(k5_group_2(B),A)))) # label(t1_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10164 (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)) -> k2_group_1(A) = k2_group_5(A,k2_group_1(A),B) & k2_group_1(A) = k2_group_5(A,B,k2_group_1(A)))))) # label(t22_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10165 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) = k2_group_5(A,B,B))))) # label(t23_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10166 (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 (v1_group_3(D,A) & m1_group_2(D,A) & v1_group_1(D) -> (r1_rlvect_1(D,B) -> r1_rlvect_1(D,k2_group_3(A,B,C))))))))))) # label(t3_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10167 (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_5(A,k1_group_1(A,B,C),D) = k1_group_1(A,k1_group_1(A,k2_group_5(A,B,D),k3_group_5(A,B,D,C)),k2_group_5(A,C,D)))))))))) # label(t48_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10168 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,k2_group_3(A,C,k3_group_1(A,B))) = k2_group_5(A,C,k3_group_1(A,B)))))))) # label(t33_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10169 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) <-> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k5_group_5(A,B,C) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))))) # label(t63_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10170 (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) -> (v1_finset_1(k14_group_2(A,B)) & k17_group_2(A,B) = np__2 -> m1_group_2(k9_group_5(A),B)))))) # label(t86_group_5) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10171 $T # label(t38_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10172 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,C,A) & v1_funct_2(E,C,A) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,D,B) & m2_relset_1(F,D,B) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) & -v1_xboole_0(G) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) & -v1_xboole_0(H) -> k9_cat_2(G,H,A,B,k1_nattra_1(C,A,E,G),k1_nattra_1(D,B,F,H)) = k1_nattra_1(k2_zfmisc_1(C,D),k2_zfmisc_1(A,B),k9_cat_2(C,D,A,B,E,F),k12_mcart_1(C,D,G,H)))))))))))))))))) # label(t1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10173 (all A all B all C all D all E (l1_cat_1(A) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m2_nattra_1(E,A,B,C,D) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k10_nattra_1(A,B,C,D,E),A,B,D,C))) # label(dt_k10_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10174 (all A all B all C all D (l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (all E (m1_nattra_1(E,A,B,C,D) -> m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)) & v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & v1_funct_1(E))))) # label(dt_m1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10175 (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) -> (m4_nattra_1(C,A,B) <-> (all D -(r2_hidden(D,C) & (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> -(D = k4_tarski(k4_tarski(E,F),G) & r2_nattra_1(A,B,E,F))))))))))))))))) # label(d15_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10176 (all A all B all C all D (v1_funct_1(C) & m1_subset_1(D,k1_zfmisc_1(A)) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & -v1_xboole_0(B) -> k7_relat_1(C,D) = k1_nattra_1(A,B,C,D))) # label(redefinition_k1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10177 (all A all B all C all D all E all F all G (v2_cat_1(A) & l1_cat_1(A) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m1_nattra_1(F,A,B,C,D) & m1_nattra_1(G,A,B,D,E) & m2_cat_1(E,A,B) & l1_cat_1(B) & v2_cat_1(B) -> m1_nattra_1(k6_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k6_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10178 (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) -> m3_nattra_1(k7_nattra_1(A,B,C),A,B,C,C))))))) # label(t33_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10179 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (k6_cat_1(A,E,F) != k1_xboole_0 -> (all G (m1_cat_1(G,A,E,F) -> k3_nattra_1(A,B,C,E,F,G) = k3_nattra_1(A,B,D,E,F,G)))))))) -> D = C))))))))) # label(t12_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10180 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & l1_cat_1(A) -> (exists E m2_nattra_1(E,A,B,C,D)))) # label(existence_m2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10181 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((exists E (m1_nattra_1(E,A,B,C,D) & (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G))))))))))) & r1_nattra_1(A,B,C,D) <-> r2_nattra_1(A,B,C,D)))))))))) # label(d7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10182 (all A (v2_cat_1(A) & l1_cat_1(A) -> (exists B (v2_cat_1(B) & v2_nattra_1(B) & v1_cat_1(B) & m3_cat_2(B,A))))) # label(rc2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10183 $T # label(t37_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10184 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (m2_nattra_1(E,A,B,C,D) <-> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,F,G) -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H))))))))))))))))))))) # label(d8_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10185 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,C,D) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_nattra_1(H,A,B,C,E) -> ((all I (m1_subset_1(I,u1_cat_1(A)) -> k9_cat_1(B,k13_cat_1(A,B,C,I),k13_cat_1(A,B,D,I),k13_cat_1(A,B,E,I),k5_nattra_1(A,B,C,D,F,I),k5_nattra_1(A,B,D,E,G,I)) = k5_nattra_1(A,B,C,E,H,I))) <-> H = k6_nattra_1(A,B,C,D,E,F,G))))))))))))))))))) # label(d6_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10186 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m1_nattra_1(E,A,B,C,D) & m2_cat_1(C,A,B) & l1_cat_1(B) & v2_cat_1(A) -> m1_nattra_1(k9_nattra_1(A,B,C,D,E),A,B,D,C))) # label(dt_k9_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10187 (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) -> k3_nattra_1(A,B,C,D,E,F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F)))))))))))))) # label(d1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10188 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) -> r2_nattra_1(A,B,C,C))) # label(reflexivity_r2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10189 (all A all B all C (l1_cat_1(B) & m2_cat_1(C,A,B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_nattra_1(k7_nattra_1(A,B,C),A,B,C,C))) # label(dt_k7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10190 (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(k12_nattra_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k12_nattra_1(A,B))) -> (all E (m1_cat_1(E,k12_nattra_1(A,B),C,D) -> -((all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,A,B) -> (all H (m2_nattra_1(H,A,B,F,G) -> -(C = F & G = D & k4_tarski(k4_tarski(F,G),H) = E))))))) & k6_cat_1(k12_nattra_1(A,B),C,D) != k1_xboole_0))))))))))) # label(t40_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10191 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (exists C m4_nattra_1(C,A,B)))) # label(existence_m4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10192 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) & r2_nattra_1(A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k11_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k5_nattra_1(A,B,C,D,E,F)) = k5_nattra_1(A,B,D,C,k10_nattra_1(A,B,C,D,E),F)))))))))))))) # label(t30_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10193 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,B,A) -> (r2_nattra_1(B,A,D,E) & r2_nattra_1(B,A,C,D) -> (all F (m2_nattra_1(F,B,A,C,D) -> (all G (m2_nattra_1(G,B,A,D,E) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k9_cat_1(A,k13_cat_1(B,A,C,H),k13_cat_1(B,A,D,H),k13_cat_1(B,A,E,H),k5_nattra_1(B,A,C,D,F,H),k5_nattra_1(B,A,D,E,G,H)) = k5_nattra_1(B,A,C,E,k8_nattra_1(B,A,C,D,E,F,G),H)))))))))))))))))) # label(t27_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10194 $T # label(t36_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10195 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k13_nattra_1(k11_cat_2(A,B)) = k11_cat_2(k13_nattra_1(A),k13_nattra_1(B)))))) # label(t55_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10196 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u2_cat_1(k12_nattra_1(A,B))) -> (k4_tarski(k4_tarski(C,D),E) = F -> k2_cat_1(k12_nattra_1(A,B),F) = C & k3_cat_1(k12_nattra_1(A,B),F) = D))))))))))))) # label(t39_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10197 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r2_hidden(k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,k10_cat_1(A,B),k10_cat_1(A,B)),k10_cat_1(A,B)),u5_cat_1(A)))))) # label(t5_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10198 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v1_cat_1(B) & v2_nattra_1(B) & m3_cat_2(B,A) -> (a_1_0_nattra_1(A) = u2_cat_1(B) & u1_cat_1(A) = u1_cat_1(B) <-> B = k13_nattra_1(A)))))) # label(d20_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10199 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> (all H (m2_nattra_1(H,A,B,C,D) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (all J (m1_subset_1(J,u2_cat_1(k12_nattra_1(A,B))) -> (k4_tarski(k4_tarski(C,D),H) = J & k4_tarski(k4_tarski(E,F),G) = I -> (r2_hidden(k13_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,B),J,I),k1_relat_1(u5_cat_1(k12_nattra_1(A,B)))) <-> r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),F,C))))))))))))))))))))))) # label(t41_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10200 (all A all B all C all D all E all F (v1_funct_2(E,A,B) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) & m1_relset_1(E,A,B) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> r4_nattra_1(A,B,C,D,E,E))) # label(reflexivity_r4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10201 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) -> k7_nattra_1(A,B,C) = k4_nattra_1(A,B,C))) # label(redefinition_k7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10202 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) & v1_funct_1(F) & -v1_xboole_0(C) & -v1_xboole_0(A) -> (F = E <-> r4_nattra_1(A,B,C,D,E,F)))) # label(redefinition_r4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10203 (all A (v2_cat_1(A) & v2_nattra_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),C,D)))))))))) # label(t49_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10204 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m4_nattra_1(C,A,B) -> ((all D (r2_hidden(D,C) <-> (exists E (m2_cat_1(E,A,B) & (exists F ((exists G (r2_nattra_1(A,B,E,F) & D = k4_tarski(k4_tarski(E,F),G) & m2_nattra_1(G,A,B,E,F))) & m2_cat_1(F,A,B))))))) <-> C = k11_nattra_1(A,B)))))))) # label(d16_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.91 10205 (all A all B k13_nattra_1(k8_cat_1(A,B)) = k8_cat_1(A,B)) # label(t54_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10206 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (-r1_xboole_0(k6_cat_1(A,B,C),k6_cat_1(A,D,E)) -> B = D & E = C))))))))))) # label(t17_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10207 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) <-> (all F (m1_subset_1(F,u1_cat_1(A)) -> v5_cat_1(k5_nattra_1(A,B,C,D,E,F),B)))))))))))))) # label(d10_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10208 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> m3_cat_2(k8_cat_1(B,k10_cat_1(A,B)),A))))) # label(t7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10209 (all A all B all C all D all E all F (m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m1_subset_1(F,u1_cat_1(A)) & m1_nattra_1(E,A,B,C,D) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m1_cat_1(k5_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))) # label(dt_k5_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10210 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,E,F) -> (all G (m1_nattra_1(G,A,B,C,D) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,B,E,F) -> k6_nattra_1(A,B,C,E,F,k6_nattra_1(A,B,C,D,E,G,H),I) = k6_nattra_1(A,B,C,D,F,G,k6_nattra_1(A,B,D,E,F,H,I))))))))))))))))))))) # label(t23_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10211 $T # label(t24_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10212 (all A all B all C all D (l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (exists E m1_nattra_1(E,A,B,C,D)))) # label(existence_m1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10213 $T # label(t29_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10214 (all A (l1_cat_1(A) & v2_nattra_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k6_cat_1(A,B,B) = k1_tarski(k10_cat_1(A,B)))))) # label(t44_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10215 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) -> (all E (m2_nattra_1(E,A,B,C,D) -> E = k8_nattra_1(A,B,C,D,D,E,k7_nattra_1(A,B,D)) & k8_nattra_1(A,B,C,C,D,k7_nattra_1(A,B,C),E) = E))))))))))) # label(t26_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10216 (all A (m1_subset_1(A,f1_s1_nattra_1) -> -r1_xboole_0(f2_s1_nattra_1,f3_s1_nattra_1(A)))) -> (exists A ((all B (m1_subset_1(B,f1_s1_nattra_1) -> r2_hidden(k8_funct_2(f1_s1_nattra_1,f2_s1_nattra_1,A,B),f3_s1_nattra_1(B)))) & m2_relset_1(A,f1_s1_nattra_1,f2_s1_nattra_1) & v1_funct_2(A,f1_s1_nattra_1,f2_s1_nattra_1) & v1_funct_1(A))) # label(s1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10217 $T # label(t43_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10218 (all A all B all C all D (v2_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (all E (m2_nattra_1(E,A,B,C,D) -> m1_nattra_1(E,A,B,C,D))))) # label(dt_m2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10219 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) <-> m3_nattra_1(E,A,B,C,D))))))))))))) # label(d14_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10220 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> l1_cat_1(k12_nattra_1(A,B)) & v2_cat_1(k12_nattra_1(A,B)) & v1_cat_1(k12_nattra_1(A,B)))) # label(dt_k12_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10221 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) -> r3_nattra_1(A,B,D,C)))))))))) # label(t31_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10222 (all A all B v2_nattra_1(k8_cat_1(A,B))) # label(t46_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10223 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r3_nattra_1(A,B,C,D) & r3_nattra_1(A,B,D,E) -> r3_nattra_1(A,B,C,E)))))))))))) # label(t32_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10224 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) -> r3_nattra_1(A,B,C,C))) # label(reflexivity_r3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10225 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) -> (all F (m1_nattra_1(F,A,B,D,C) -> ((all G (m1_subset_1(G,u1_cat_1(A)) -> k11_cat_1(B,k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,G)) = k5_nattra_1(A,B,D,C,F,G))) <-> F = k9_nattra_1(A,B,C,D,E)))))))))))))))) # label(d12_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10226 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) & r2_nattra_1(A,B,C,D) -> k9_nattra_1(A,B,C,D,E) = k10_nattra_1(A,B,C,D,E)))))))))))) # label(d13_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10227 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)) & v1_funct_1(E) -> (m1_nattra_1(E,A,B,C,D) <-> (all F (m1_subset_1(F,u1_cat_1(A)) -> m1_cat_1(k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(d3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10228 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(A)) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> m2_relset_1(k1_nattra_1(A,B,C,D),D,B) & v1_funct_2(k1_nattra_1(A,B,C,D),D,B) & v1_funct_1(k1_nattra_1(A,B,C,D)))) # label(dt_k1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10229 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u2_cat_1(k12_nattra_1(A,B))) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (k4_tarski(k4_tarski(C,D),F) = H & k4_tarski(k4_tarski(D,E),G) = I -> k4_cat_1(k12_nattra_1(A,B),H,I) = k4_tarski(k4_tarski(C,E),k8_nattra_1(A,B,C,D,E,F,G))))))))))))))))))))) # label(t42_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10230 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u2_cat_1(A))) & -v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,C,B) & v1_funct_2(D,C,B) -> (all E (m2_relset_1(E,C,B) & v1_funct_2(E,C,B) & v1_funct_1(E) -> (k1_nattra_1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) = E & D = k1_nattra_1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) -> (all F (m2_relset_1(F,k2_zfmisc_1(C,C),C) & v1_funct_1(F) -> (F = k1_realset1(u5_cat_1(A),C) -> (all G (v1_funct_2(G,B,C) & m2_relset_1(G,B,C) & v1_funct_1(G) -> (G = k1_nattra_1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) -> m3_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))))) # label(t9_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10231 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) -> m1_nattra_1(k4_nattra_1(A,B,C),A,B,C,C))) # label(dt_k4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10232 (all A (v2_cat_1(A) & l1_cat_1(A) & v2_nattra_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_nattra_1(D,B,A,C,C) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),D,k7_nattra_1(B,A,C)))))))))) # label(t50_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10233 (all A (v1_cat_1(A) & v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) & v1_cat_1(B) -> (u2_cat_1(A) = u2_cat_1(B) & u1_cat_1(A) = u1_cat_1(B) -> A = B))))) # label(t10_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10234 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r3_nattra_1(A,B,C,D) & r3_nattra_1(A,B,D,E) -> (all F (m3_nattra_1(F,A,B,C,D) -> (all G (m3_nattra_1(G,A,B,D,E) -> m3_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E)))))))))))))))) # label(t34_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10235 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> (C = A & (all G (m1_subset_1(G,A) -> k1_funct_1(F,G) = k8_funct_2(A,B,E,G))) <-> r4_nattra_1(A,B,C,D,E,F)))))))))))))) # label(d17_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10236 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m1_subset_1(D,u1_cat_1(A)) & m1_subset_1(E,u1_cat_1(A)) & m1_cat_1(F,A,D,E) & m2_cat_1(C,A,B) & l1_cat_1(B) -> m1_cat_1(k3_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))) # label(dt_k3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10237 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,C,A) -> (all E (m2_cat_1(E,A,B) -> (all F (m1_subset_1(F,u1_cat_1(C)) -> (all G (m1_subset_1(G,u1_cat_1(C)) -> (k1_xboole_0 != k6_cat_1(C,F,G) -> (all H (m1_cat_1(H,C,F,G) -> k3_nattra_1(A,B,E,k13_cat_1(C,A,D,F),k13_cat_1(C,A,D,G),k3_nattra_1(C,A,D,F,G,H)) = k3_nattra_1(C,B,k14_cat_1(C,A,B,D,E),F,G,H)))))))))))))))))) # label(t11_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10238 (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_nattra_1(D,A,B,C,C) -> (k4_nattra_1(A,B,C) = D <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> k10_cat_1(B,k13_cat_1(A,B,C,E)) = k8_funct_2(u1_cat_1(A),u2_cat_1(B),D,E)))))))))))) # label(d4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10239 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> -(k6_cat_1(B,E,F) != k1_xboole_0 & -(all G (m1_cat_1(G,B,D,E) -> (all H (m1_cat_1(H,B,E,F) -> k9_cat_1(A,k13_cat_1(B,A,C,D),k13_cat_1(B,A,C,E),k13_cat_1(B,A,C,F),k3_nattra_1(B,A,C,D,E,G),k3_nattra_1(B,A,C,E,F,H)) = k3_nattra_1(B,A,C,D,F,k9_cat_1(B,D,E,F,G,H)))))) & k1_xboole_0 != k6_cat_1(B,D,E)))))))))))))) # label(t13_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10240 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(A,A),A) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (all G (m2_relset_1(G,k12_mcart_1(A,A,C,C),C) & v1_funct_1(G) -> (G = k1_realset1(E,C) -> (all H (v1_funct_1(H) & m2_relset_1(H,k12_mcart_1(B,B,D,D),D) -> (k1_realset1(F,D) = H -> k1_realset1(k10_cat_2(A,B,E,F),k12_mcart_1(A,B,C,D)) = k2_nattra_1(A,B,C,D,G,H))))))))))))))))))) # label(t2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10241 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k10_cat_1(A,k13_cat_1(B,A,C,D)) = k3_nattra_1(B,A,C,D,D,k10_cat_1(B,D)))))))))) # label(t15_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10242 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,C,D) -> (all H (m2_nattra_1(H,A,B,D,E) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,B,E,F) & r2_nattra_1(A,B,C,D) -> (all I (m2_nattra_1(I,A,B,E,F) -> k8_nattra_1(A,B,C,D,F,G,k8_nattra_1(A,B,D,E,F,H,I)) = k8_nattra_1(A,B,C,E,F,k8_nattra_1(A,B,C,D,E,G,H),I)))))))))))))))))))) # label(t28_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10243 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (v2_nattra_1(A) -> v2_nattra_1(k12_nattra_1(B,A))))))) # label(t51_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10244 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & v2_cat_1(A) -> (exists E m3_nattra_1(E,A,B,C,D)))) # label(existence_m3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10245 (all A (l1_cat_1(A) & v2_cat_1(A) -> (v2_nattra_1(A) <-> (all B (m1_subset_1(B,u2_cat_1(A)) -> (exists C (B = k10_cat_1(A,C) & m1_subset_1(C,u1_cat_1(A))))))))) # label(d19_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10246 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> (all E (m1_nattra_1(E,B,A,C,D) -> (all F (m1_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,E,G) = k5_nattra_1(B,A,C,D,F,G))) -> E = F)))))))))))))) # label(t20_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10247 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,B,C,D) -> r2_nattra_1(A,B,C,E)))))))))))) # label(t25_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10248 $T # label(t18_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10249 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (all D (m1_cat_1(D,A,B,C) -> k3_nattra_1(A,A,k15_cat_1(A),B,C,D) = D))))))))) # label(t16_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10250 (all A (v2_cat_1(A) & l1_cat_1(A) -> k13_nattra_1(A) = k13_nattra_1(k13_nattra_1(A)))) # label(t53_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10251 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (v2_nattra_1(A) & v2_nattra_1(B) -> v2_nattra_1(k11_cat_2(A,B))))))) # label(t48_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10252 (all A (v1_cat_1(A) & l1_cat_1(A) & v2_cat_1(A) -> (v2_nattra_1(A) -> k13_nattra_1(A) = A))) # label(t52_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10253 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> k8_nattra_1(A,B,C,D,E,F,G) = k6_nattra_1(A,B,C,D,E,F,G)))))))))))))))) # label(d9_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10254 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_hidden(k4_tarski(k4_tarski(C,D),E),k11_nattra_1(A,B)) <-> r2_nattra_1(A,B,C,D)))))))))))) # label(t35_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.13/145.92 10255 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> E = k6_nattra_1(A,B,C,C,D,k4_nattra_1(A,B,C),E) & k6_nattra_1(A,B,C,D,D,E,k4_nattra_1(A,B,D)) = E))))))))))) # label(t22_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10256 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) -> r1_nattra_1(A,B,C,E)))))))))))) # label(t19_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10257 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k5_nattra_1(B,A,C,C,k4_nattra_1(B,A,C),D) = k10_cat_1(A,k13_cat_1(B,A,C,D)))))))))) # label(t21_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10258 (all A all B all C all D all E all F (-v1_xboole_0(D) & v1_funct_1(E) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) & m1_relset_1(E,A,B) & v1_funct_2(E,A,B) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> (r4_nattra_1(A,B,C,D,E,F) -> r4_nattra_1(A,B,C,D,F,E)))) # label(symmetry_r4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10259 (exists A (v2_nattra_1(A) & v2_cat_1(A) & l1_cat_1(A))) # label(rc1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10260 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (all C (m4_nattra_1(C,A,B) -> -v1_xboole_0(C))))) # label(dt_m4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10261 (all A all B all C all D (l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) & v2_cat_1(A) -> r1_nattra_1(A,B,C,C))) # label(reflexivity_r1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10262 (all A all B u5_cat_1(k8_cat_1(A,B)) = k1_tarski(k4_tarski(k4_tarski(B,B),B))) # label(t6_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10263 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F) = k5_nattra_1(A,B,C,D,E,F)))))))))))))) # label(d5_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10264 (all A (v2_cat_1(A) & l1_cat_1(A) -> v1_cat_1(k13_nattra_1(A)) & v2_nattra_1(k13_nattra_1(A)) & m3_cat_2(k13_nattra_1(A),A))) # label(dt_k13_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10265 (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) & v1_cat_1(C) -> (C = k12_nattra_1(A,B) <-> u1_cat_1(C) = k7_cat_2(A,B) & k11_nattra_1(A,B) = u2_cat_1(C) & (all D (m1_subset_1(D,u1_cat_1(C)) -> (all E (m2_cat_1(E,A,B) -> (E = D -> k4_tarski(k4_tarski(E,E),k7_nattra_1(A,B,E)) = k10_cat_1(C,D)))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> -(r2_hidden(k13_cat_2(C,C,E,D),k1_relat_1(u5_cat_1(C))) & (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,A,B) -> (all H (m2_cat_1(H,A,B) -> (all I (m2_nattra_1(I,A,B,F,G) -> (all J (m2_nattra_1(J,A,B,G,H) -> -(E = k4_tarski(k4_tarski(G,H),J) & k1_funct_1(u5_cat_1(C),k13_cat_2(C,C,E,D)) = k4_tarski(k4_tarski(F,H),k8_nattra_1(A,B,F,G,H,I,J)) & D = k4_tarski(k4_tarski(F,G),I))))))))))))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> (k3_cat_1(C,D) = k2_cat_1(C,E) -> r2_hidden(k13_cat_2(C,C,E,D),k1_relat_1(u5_cat_1(C)))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> k2_mcart_1(k1_mcart_1(D)) = k3_cat_1(C,D) & k1_mcart_1(k1_mcart_1(D)) = k2_cat_1(C,D)))))))))) # label(d18_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10266 (all A all B all C all D all E all F (m1_subset_1(C,k1_zfmisc_1(A)) & -v1_xboole_0(D) & v1_funct_1(E) & m1_relset_1(E,k12_mcart_1(A,A,C,C),C) & v1_funct_1(F) & m1_relset_1(F,k12_mcart_1(B,B,D,D),D) & m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k2_nattra_1(A,B,C,D,E,F)) & m2_relset_1(k2_nattra_1(A,B,C,D,E,F),k12_mcart_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k12_mcart_1(A,B,C,D),k12_mcart_1(A,B,C,D)),k12_mcart_1(A,B,C,D)))) # label(dt_k2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10267 (all A all B all C (m1_subset_1(C,u2_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u2_cat_1(k8_cat_1(A,B))) -> C = D)))) # label(t4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10268 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> k6_cat_1(B,k13_cat_1(A,B,C,E),k13_cat_1(A,B,D,E)) != k1_xboole_0)) <-> r1_nattra_1(A,B,C,D)))))))))) # label(d2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10269 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> (all E (m3_nattra_1(E,A,B,C,D) -> m2_nattra_1(E,A,B,C,D))))) # label(dt_m3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10270 (all A (v2_cat_1(A) & v2_nattra_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> v2_nattra_1(B))))) # label(t47_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10271 (all A all B all C all D all E all F all G (v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_nattra_1(G,A,B,D,E) & m2_nattra_1(F,A,B,C,D) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k8_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10272 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> m4_nattra_1(k11_nattra_1(A,B),A,B))) # label(dt_k11_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10273 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k3_nattra_1(A,B,C,D,D,k10_cat_1(A,D)) -> k13_cat_1(A,B,C,D) = E))))))))))) # label(t14_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10274 (all A all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_hidden(A,a_1_0_nattra_1(B)) <-> (exists C (A = k10_cat_1(B,C) & m1_subset_1(C,u1_cat_1(B))))))) # label(fraenkel_a_1_0_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10275 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_relset_1(F,k12_mcart_1(B,B,D,D),D) & v1_funct_1(F) & m1_relset_1(E,k12_mcart_1(A,A,C,C),C) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(C) -> k3_funct_4(E,F) = k2_nattra_1(A,B,C,D,E,F))) # label(redefinition_k2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10276 (all A (v2_cat_1(A) & l1_cat_1(A) -> ((all B (m1_subset_1(B,u1_cat_1(A)) -> (exists C (v1_finset_1(C) & k6_cat_1(A,B,B) = C & np__1 = k4_card_1(C))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (B != C -> k1_xboole_0 = k6_cat_1(A,B,C)))))) <-> v2_nattra_1(A)))) # label(t45_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10277 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> k7_relat_1(u6_cat_1(A),u1_cat_1(B)) = u6_cat_1(B) & u5_cat_1(B) = k1_realset1(u5_cat_1(A),u2_cat_1(B)) & u4_cat_1(B) = k7_relat_1(u4_cat_1(A),u2_cat_1(B)) & k7_relat_1(u3_cat_1(A),u2_cat_1(B)) = u3_cat_1(B))))) # label(t8_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10278 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) <-> (exists E (v1_nattra_1(E,A,B,C,D) & m2_nattra_1(E,A,B,C,D))) & r2_nattra_1(A,B,C,D)))))))))) # label(d11_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10279 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_cat_1(C,A,B,B) -> r2_hidden(C,k6_cat_1(A,B,B)))))))) # label(t3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10280 (all A k1_pcomps_1(A) = k1_zfmisc_1(A)) # label(redefinition_k1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10281 (all A (l1_metric_1(A) & -v3_struct_0(A) -> v2_pre_topc(k5_pcomps_1(A)) & v1_pre_topc(k5_pcomps_1(A)) & -v3_struct_0(k5_pcomps_1(A)))) # label(fc4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10282 (all A all B (-v1_xboole_0(A) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> -v3_struct_0(k6_pcomps_1(A,B)) & v1_metric_1(k6_pcomps_1(A,B)) & v9_metric_1(k6_pcomps_1(A,B)) & l1_metric_1(k6_pcomps_1(A,B)) & v8_metric_1(k6_pcomps_1(A,B)) & v7_metric_1(k6_pcomps_1(A,B)) & v6_metric_1(k6_pcomps_1(A,B)))) # label(dt_k6_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10283 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(B) -> k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B))))))) # label(t19_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10284 (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)))) -> (k1_xboole_0 = B -> k3_pcomps_1(A,B) = k1_xboole_0))))) # label(t15_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10285 (all A (-v1_xboole_0(A) -> v1_pre_topc(k2_pcomps_1(A)) & v2_pre_topc(k2_pcomps_1(A)) & -v3_struct_0(k2_pcomps_1(A)))) # label(fc2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10286 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (-r1_xreal_0(C,np__0) & r1_tarski(k9_metric_1(A,B,C),u1_struct_0(A)) & m1_subset_1(C,k1_numbers))))))) # label(t29_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10287 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) -> k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B)) = k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B))))))) # label(t23_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10288 (all A k2_pcomps_1(A) = g1_pre_topc(A,k1_pcomps_1(A))) # label(d1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10289 (all A (l1_metric_1(A) -> v2_pre_topc(g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A))) & l1_pre_topc(g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A))))) # label(t37_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10290 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v1_pcomps_1(B,A) -> v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t24_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10291 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v3_compts_1(A) -> v4_pre_topc(k1_struct_0(A,B),A)))))) # label(t10_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10292 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v2_pcomps_1(A) & v3_compts_1(A) -> v5_compts_1(A)))) # label(t28_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10293 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & v1_tops_2(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_tops_2(C,A) & v1_pcomps_1(C,A) & r1_setfam_1(C,B) & r1_pre_topc(A,C))))))) <-> v2_pcomps_1(A)))) # label(d4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10294 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(a_3_1_pcomps_1(A,B,C),B))))))) # label(t11_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10295 (all A v2_compts_1(k2_pcomps_1(k1_tarski(A)))) # label(t9_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10296 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != B & k1_xboole_0 = k6_pre_topc(A,B)) & -(k1_xboole_0 = B & k1_xboole_0 != k6_pre_topc(A,B)))))) # label(t2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10297 (exists A (l1_pre_topc(A) & v2_pre_topc(A) & v2_pcomps_1(A) & -v3_struct_0(A))) # label(rc1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10298 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (v9_metric_1(A) -> r2_hidden(k9_metric_1(A,B,C),k4_pcomps_1(A))))))))) # label(t33_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10299 (all A (l1_metric_1(A) -> r2_hidden(u1_struct_0(A),k4_pcomps_1(A)))) # label(t34_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10300 (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) -> (r1_pcomps_1(A,B) <-> v7_metric_1(g1_metric_1(A,B)) & v9_metric_1(g1_metric_1(A,B)) & l1_metric_1(g1_metric_1(A,B)) & v8_metric_1(g1_metric_1(A,B)) & v6_metric_1(g1_metric_1(A,B))))) # label(t39_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10301 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) -> v1_pcomps_1(k3_pcomps_1(A,B),A)))))) # label(t21_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10302 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (C = k1_tarski(B) -> k3_pcomps_1(A,C) = k1_tarski(k6_pre_topc(A,B))))))))) # label(t16_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10303 (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,u1_struct_0(A)) -> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,D) & v3_pre_topc(D,A) & v1_finset_1(a_3_0_pcomps_1(A,B,D)))))) <-> v1_pcomps_1(B,A)))))) # label(d2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10304 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (v3_pcomps_1(A) <-> (exists B (u1_pre_topc(A) = k4_pcomps_1(k6_pcomps_1(u1_struct_0(A),B)) & r1_pcomps_1(u1_struct_0(A),B) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & v1_funct_1(B)))))) # label(d9_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10305 (all A (l1_metric_1(A) -> v1_pre_topc(k5_pcomps_1(A)) & v2_pre_topc(k5_pcomps_1(A)))) # label(fc3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10306 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (r1_pcomps_1(A,B) -> g1_metric_1(A,B) = k6_pcomps_1(A,B)))))) # label(d8_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10307 (all A (l1_metric_1(A) -> l1_pre_topc(k5_pcomps_1(A)))) # label(dt_k5_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10308 (all A (-v3_struct_0(A) & v7_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> v3_compts_1(k5_pcomps_1(A)))) # label(t38_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10309 (all A m1_subset_1(k1_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(A)))) # label(dt_k1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10310 (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))) -> -(v4_pre_topc(B,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(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r1_tarski(B,E) & r1_xboole_0(E,F) & r2_hidden(D,F) & v3_pre_topc(F,A)))))) & r2_hidden(D,C)))) & v4_pre_topc(C,A) & v2_pcomps_1(A)))))))) # label(t26_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10311 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v2_pcomps_1(A) & v3_compts_1(A) -> v4_compts_1(A)))) # label(t27_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10312 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_xreal_0(D) -> -(v9_metric_1(A) & r2_hidden(B,k9_metric_1(A,C,D)) & (all E (m1_subset_1(E,k1_numbers) -> -(r1_tarski(k9_metric_1(A,B,E),k9_metric_1(A,C,D)) & -r1_xreal_0(E,np__0))))))))))))) # label(t30_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10313 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k5_setfam_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B))))))) # label(t22_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10314 (all A all B all C all D (v2_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & -v3_struct_0(B) -> ((exists E (E = A & r2_hidden(E,C) & -r1_xboole_0(E,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_3_1_pcomps_1(B,C,D))))) # label(fraenkel_a_3_1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10315 $T # label(t32_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10316 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> v2_tops_2(k3_pcomps_1(A,B),A))))) # label(t14_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10317 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,D) & r2_hidden(D,B)))))))))) # label(t5_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10318 (exists A (l1_pre_topc(A) & v2_pre_topc(A) & v3_pcomps_1(A) & v1_pre_topc(A) & -v3_struct_0(A))) # label(rc3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10319 (all A (m1_subset_1(A,k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) -> (r2_hidden(A,f2_s1_pcomps_1) -> r2_hidden(f4_s1_pcomps_1(A),f3_s1_pcomps_1)))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f2_s1_pcomps_1,f3_s1_pcomps_1) & m2_relset_1(A,f2_s1_pcomps_1,f3_s1_pcomps_1) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) -> (r2_hidden(B,f2_s1_pcomps_1) -> f4_s1_pcomps_1(B) = k1_funct_1(A,B)))))) # label(s1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10320 (exists A (l1_pre_topc(A) & v1_pre_topc(A) & v3_compts_1(A) & v2_pre_topc(A) & -v3_struct_0(A))) # label(rc2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10321 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k4_pcomps_1(A)) -> r2_hidden(k5_setfam_1(u1_struct_0(A),B),k4_pcomps_1(A))))))) # label(t36_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10322 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(r2_hidden(D,k5_subset_1(u1_struct_0(A),k9_metric_1(A,E,B),k9_metric_1(A,F,C))) & (all G (m1_subset_1(G,k1_numbers) -> -(r1_tarski(k9_metric_1(A,D,G),k9_metric_1(A,E,B)) & r1_tarski(k9_metric_1(A,D,G),k9_metric_1(A,F,C))))) & v9_metric_1(A)))))))))))))) # label(t31_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10323 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (B = k4_pcomps_1(A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,k1_numbers) -> -(-r1_xreal_0(E,np__0) & r1_tarski(k9_metric_1(A,D,E),C)))) & r2_hidden(D,C)))) <-> r2_hidden(C,B))))))))) # label(d5_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10324 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_setfam_1(B,k3_pcomps_1(A,B)))))) # label(t20_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10325 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k4_pcomps_1(A)) & r2_hidden(C,k4_pcomps_1(A)) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),k4_pcomps_1(A))))))))) # label(t35_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10326 (all A l1_pre_topc(k2_pcomps_1(A))) # label(dt_k2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10327 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & l1_pre_topc(A) -> m1_subset_1(k3_pcomps_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10328 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & k6_pre_topc(A,E) = D & r2_hidden(E,B)))))) <-> C = k3_pcomps_1(A,B)))))))) # label(d3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10329 (all A (l1_metric_1(A) -> k5_pcomps_1(A) = g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A)))) # label(d6_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10330 (all A A = u1_struct_0(k2_pcomps_1(A))) # label(t8_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10331 (all A (l1_metric_1(A) -> m1_subset_1(k4_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10332 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) -> r1_tarski(k3_pcomps_1(A,B),k3_pcomps_1(A,C))))))))) # label(t17_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10333 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v2_compts_1(A) -> v2_pcomps_1(A)))) # label(t25_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10334 (all A all B all C all D (l1_pre_topc(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & E = A & -r1_xboole_0(E,D) & r2_hidden(E,C))) <-> r2_hidden(A,a_3_0_pcomps_1(B,C,D))))) # label(fraenkel_a_3_0_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10335 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (r1_pcomps_1(A,B) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (C = D -> k1_metric_1(A,A,B,C,D) = np__0) & r1_xreal_0(k1_metric_1(A,A,B,C,E),k3_real_1(k1_metric_1(A,A,B,C,D),k1_metric_1(A,A,B,D,E))) & k1_metric_1(A,A,B,C,D) = k1_metric_1(A,A,B,D,C) & (k1_metric_1(A,A,B,C,D) = np__0 -> C = D)))))))))) # label(d7_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10336 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(B) -> v1_pcomps_1(B,A)))))) # label(t13_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10337 (all A (v2_pre_topc(k2_pcomps_1(A)) & v1_pre_topc(k2_pcomps_1(A)))) # label(fc1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10338 $T # label(t3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10339 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> k3_pcomps_1(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)) = k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k3_pcomps_1(A,B),k3_pcomps_1(A,C)))))))) # label(t18_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10340 $T # label(t4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10341 (all A k1_pcomps_1(A) = u1_pre_topc(k2_pcomps_1(A))) # label(t7_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10342 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) & v1_pcomps_1(C,A) -> v1_pcomps_1(B,A)))))))) # label(t12_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10343 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> (r1_xreal_0(C,D) -> r1_tarski(k9_metric_1(A,B,C),k9_metric_1(A,B,D))))))))))) # label(t1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10344 $T # label(t6_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10345 (all A (-v1_xboole_0(A) -> (all B (r2_hidden(B,k1_ens_1(A)) <-> (exists C (m1_subset_1(C,A) & (exists D ((D = k1_xboole_0 -> k1_xboole_0 = C) & v1_funct_1(B) & m2_relset_1(B,C,D) & v1_funct_2(B,C,D) & m1_subset_1(D,A))))))))) # label(t1_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10346 (all A (v2_cat_1(A) & l1_cat_1(A) -> -v1_xboole_0(k17_ens_1(A)))) # label(fc5_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10347 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> r2_hidden(k6_cat_1(A,B,C),k17_ens_1(A)))))))) # label(t41_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10348 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r1_tarski(k17_ens_1(B),A) -> k23_ens_1(B) = k26_ens_1(A,B)))))) # label(d28_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10349 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(B,u2_cat_1(k12_ens_1(A))))))) # label(t24_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10350 (all A (-v1_xboole_0(A) -> v1_funct_1(k11_ens_1(A)) & m2_relset_1(k11_ens_1(A),A,k2_ens_1(A)) & v1_funct_2(k11_ens_1(A),A,k2_ens_1(A)))) # label(dt_k11_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10351 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,D) -> k18_ens_1(A,B,k4_cat_1(A,D,C)) = k1_partfun1(k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D)),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C)),k18_ens_1(A,B,D),k18_ens_1(A,B,C))))))))))) # label(t45_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10352 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (k1_xboole_0 = B -> v7_cat_1(B,k12_ens_1(A))))))) # label(t30_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10353 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (r2_hidden(k1_xboole_0,A) & v7_cat_1(B,k12_ens_1(A)) -> k1_xboole_0 = B))))) # label(t31_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10354 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m2_relset_1(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_2(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),k2_ens_1(k17_ens_1(A)),C,D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B)),k19_ens_1(A,B,D)))) <-> k21_ens_1(A,B) = C))))))) # label(d23_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10355 (all A (-v1_xboole_0(A) -> k2_ens_1(A) = k3_tarski(a_1_2_ens_1(A)))) # label(t18_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.94 10356 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> k4_ens_1(A,k16_ens_1(A,B)) = k3_cat_1(k12_ens_1(A),B) & k3_ens_1(A,k16_ens_1(A,B)) = k2_cat_1(k12_ens_1(A),B))))) # label(t26_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10357 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k3_ens_1(A,B) = k4_ens_1(A,C) & k4_ens_1(A,B) = k3_ens_1(A,D) -> k6_ens_1(A,C,k6_ens_1(A,B,D)) = k6_ens_1(A,k6_ens_1(A,C,B),D)))))))))) # label(t13_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10358 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> k7_ens_1(A,B,C) = a_3_0_ens_1(A,B,C))))))) # label(d8_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10359 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)) -> (k10_ens_1(A) = B <-> (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k3_ens_1(A,C) = k4_ens_1(A,D) -> k6_ens_1(A,D,C) = k1_funct_1(B,k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D))))))) & (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k3_ens_1(A,C) = k4_ens_1(A,D) <-> r2_hidden(k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D),k1_relat_1(B)))))))))))) # label(d12_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10360 (all A (-v1_xboole_0(A) -> l1_cat_1(g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A))) & v2_cat_1(g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A))))) # label(t21_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10361 (all A (-v1_xboole_0(A) -> r1_tarski(k2_ens_1(A),k2_zfmisc_1(k2_zfmisc_1(A,A),k1_ens_1(A))))) # label(t6_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10362 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> m1_subset_1(k14_ens_1(A,B),A))) # label(dt_k14_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10363 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,C) -> k1_partfun1(k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B),k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B),k19_ens_1(A,B,C),k19_ens_1(A,B,D)) = k19_ens_1(A,B,k4_cat_1(A,D,C))))))))))) # label(t46_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10364 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m2_relset_1(D,k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & v1_funct_2(D,k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & v1_funct_1(D) -> (k18_ens_1(A,B,C) = D <-> (all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,B,k2_cat_1(A,C))) -> k1_funct_1(D,E) = k4_cat_1(A,E,C))))))))))))) # label(d20_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10365 (all A all B (v2_cat_1(B) & l1_cat_1(B) -> ((exists C exists D (m1_subset_1(C,u1_cat_1(B)) & k6_cat_1(B,C,D) = A & m1_subset_1(D,u1_cat_1(B)))) <-> r2_hidden(A,a_1_3_ens_1(B))))) # label(fraenkel_a_1_3_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10366 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))),k18_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t47_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10367 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k6_ens_1(A,k5_ens_1(A,k3_ens_1(A,B)),B) = B & B = k6_ens_1(A,B,k5_ens_1(A,k4_ens_1(A,B))))))) # label(t14_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10368 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (k3_ens_1(A,C) = k4_ens_1(A,B) -> k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,C)),k5_relat_1(k2_mcart_1(B),k2_mcart_1(C))) = k6_ens_1(A,B,C)))))))) # label(d7_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10369 $T # label(dt_k7_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10370 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> -(k1_xboole_0 = k4_ens_1(A,B) & k1_xboole_0 != k3_ens_1(A,B)) & v1_funct_2(k2_mcart_1(B),k3_ens_1(A,B),k4_ens_1(A,B)) & m2_relset_1(k2_mcart_1(B),k3_ens_1(A,B),k4_ens_1(A,B)) & v1_funct_1(k2_mcart_1(B)))))) # label(t9_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10371 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_partfun1(k6_cat_1(A,B,C)) = k19_ens_1(A,C,k10_cat_1(A,B)))))))) # label(t44_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10372 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m1_subset_1(B,u1_cat_1(k12_ens_1(A))))))) # label(t22_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10373 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v4_cat_1(B,k12_ens_1(A)) -> v1_ens_1(k16_ens_1(A,B),A)))))) # label(t39_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10374 (all A (-v1_xboole_0(A) -> v1_fraenkel(k1_ens_1(A)) & -v1_xboole_0(k1_ens_1(A)))) # label(fc1_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10375 (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)) -> (k1_xboole_0 = k6_cat_1(A,B,k3_cat_1(A,C)) -> k6_cat_1(A,B,k2_cat_1(A,C)) = k1_xboole_0) & (k6_cat_1(A,k2_cat_1(A,C),B) = k1_xboole_0 -> k1_xboole_0 = k6_cat_1(A,k3_cat_1(A,C),B)))))))) # label(t42_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10376 (all A (-v1_xboole_0(A) -> v1_funct_1(k8_ens_1(A)) & v1_funct_2(k8_ens_1(A),k2_ens_1(A),A) & m2_relset_1(k8_ens_1(A),k2_ens_1(A),A))) # label(dt_k8_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10377 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (v7_cat_1(B,k12_ens_1(A)) -> k1_xboole_0 = B))))) # label(t32_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10378 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> -(v6_cat_1(B,k12_ens_1(A)) & (all C B != k1_tarski(C))))))) # label(t35_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10379 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k12_ens_1(A))) -> k6_cat_1(k12_ens_1(A),B,C) = k7_ens_1(A,k14_ens_1(A,B),k14_ens_1(A,C)))))))) # label(t27_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10380 (all A all B (-v1_xboole_0(A) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k26_ens_1(A,B),k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A)))) # label(dt_k26_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10381 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (v1_funct_2(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),k2_ens_1(k17_ens_1(A)),C,D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D))),k18_ens_1(A,B,D)))) <-> C = k20_ens_1(A,B)))))))) # label(d22_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10382 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> ((exists C k1_tarski(C) = B) -> v6_cat_1(B,k12_ens_1(A))))))) # label(t33_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10383 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)),k19_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t48_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10384 (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 (v1_funct_1(D) & v1_funct_2(D,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & m2_relset_1(D,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C))) -> k4_cat_1(A,B,k4_cat_1(A,E,C)) = k1_funct_1(D,E)))) <-> D = k22_ens_1(A,B,C)))))))))) # label(d24_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10385 (all A (v2_cat_1(A) & l1_cat_1(A) -> v1_funct_1(k23_ens_1(A)) & v1_funct_2(k23_ens_1(A),u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & m2_relset_1(k23_ens_1(A),u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))))) # label(dt_k23_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10386 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_2(D,B,C) & m2_relset_1(D,B,C) & v1_funct_1(D) -> ((C = k1_xboole_0 -> B = k1_xboole_0) -> r2_hidden(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k7_ens_1(A,B,C))))))))))) # label(t15_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10387 (all A all B all C all D (m1_subset_1(C,B) & m1_subset_1(D,B) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_ens_1(B,C,D)) <-> (exists E (r2_hidden(k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E),k2_ens_1(B)) & A = k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) & m1_subset_1(E,k1_ens_1(B))))))) # label(fraenkel_a_3_0_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10388 (all A all B all C (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) -> v1_funct_1(k18_ens_1(A,B,C)) & v1_funct_2(k18_ens_1(A,B,C),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & m2_relset_1(k18_ens_1(A,B,C),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))))) # label(dt_k18_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10389 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) -> D = k4_tarski(k1_domain_1(A,A,B,C),k2_mcart_1(D))))))))))) # label(t16_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10390 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_ens_1(A),A) & v1_funct_2(B,k2_ens_1(A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k2_ens_1(A)) -> k8_funct_2(k2_ens_1(A),A,B,C) = k3_ens_1(A,C))) <-> k8_ens_1(A) = B))))) # label(d10_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10391 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k6_cat_1(B,D,C) = k8_funct_2(u1_cat_1(B),u1_cat_1(k12_ens_1(A)),k12_cat_1(B,k12_ens_1(A),k25_ens_1(A,B,C)),D)))))))))) # label(t62_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10392 (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)) -> k22_ens_1(A,C,k10_cat_1(A,B)) = k19_ens_1(A,B,C) & k22_ens_1(A,k10_cat_1(A,B),C) = k18_ens_1(A,B,C))))))) # label(t53_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10393 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k5_ens_1(A,B),k2_ens_1(A)))) # label(dt_k5_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10394 (all A all B (-v1_xboole_0(B) -> ((exists C exists D exists E (m1_subset_1(C,B) & m1_subset_1(E,k1_ens_1(B)) & k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) = A & (k1_xboole_0 = D -> C = k1_xboole_0) & v1_funct_1(E) & v1_funct_2(E,C,D) & m2_relset_1(E,C,D) & m1_subset_1(D,B))) <-> r2_hidden(A,a_1_1_ens_1(B))))) # label(fraenkel_a_1_1_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10395 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> m1_subset_1(B,A))))) # label(t23_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10396 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> B = k15_ens_1(A,B))))) # label(d17_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10397 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,C) & v1_funct_2(D,B,C) -> ((C = k1_xboole_0 -> B = k1_xboole_0) -> r2_hidden(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k2_ens_1(A))))))))))) # label(t5_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10398 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k15_cat_2(k2_oppcat_1(B),B,k12_ens_1(A),k26_ens_1(A,B),C) = k25_ens_1(A,B,C)))))))) # label(t66_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10399 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k25_ens_1(A,B,C) = k21_ens_1(B,C)))))))) # label(d27_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10400 (all A all B (-v1_xboole_0(B) -> ((exists C exists D (m1_subset_1(D,B) & A = k1_funct_2(C,D) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_0_ens_1(B))))) # label(fraenkel_a_1_0_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10401 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))),k22_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t52_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10402 (all A all B all C (m1_subset_1(C,u1_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) & -v1_xboole_0(A) -> m2_cat_1(k24_ens_1(A,B,C),B,k12_ens_1(A)))) # label(dt_k24_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10403 (all A (-v1_xboole_0(A) -> g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A)) = k12_ens_1(A))) # label(d14_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10404 $T # label(d3_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10405 (all A all B all C (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) -> v1_funct_1(k19_ens_1(A,B,C)) & v1_funct_2(k19_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & m2_relset_1(k19_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)))) # label(dt_k19_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10406 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v1_ens_1(k16_ens_1(A,B),A) -> v4_cat_1(B,k12_ens_1(A))))))) # label(t38_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10407 (all A all B all C (v2_cat_1(A) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> v1_funct_1(k22_ens_1(A,B,C)) & m2_relset_1(k22_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & v1_funct_2(k22_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))))) # label(dt_k22_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10408 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))))))))) # label(t49_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10409 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) & k2_cat_1(A,D) = k3_cat_1(A,E) -> k22_ens_1(A,k4_cat_1(A,B,C),k4_cat_1(A,E,D)) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,E)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,E)),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,D)),k22_ens_1(A,C,E),k22_ens_1(A,B,D))))))))))))) # label(t56_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10410 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k6_cat_1(B,C,D) = k8_funct_2(u1_cat_1(k11_cat_2(k2_oppcat_1(B),B)),u1_cat_1(k12_ens_1(A)),k12_cat_1(k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A),k26_ens_1(A,B)),k12_cat_2(k2_oppcat_1(B),B,k3_oppcat_1(B,C),D))))))))))) # label(t64_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10411 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k21_ens_1(A,B) = k1_funct_1(k5_funct_5(k23_ens_1(A)),k10_cat_1(A,B)) & k20_ens_1(A,B) = k1_funct_1(k3_funct_5(k23_ens_1(A)),k10_cat_1(A,B)))))) # label(t57_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10412 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k2_mcart_1(k1_mcart_1(B)) = k4_ens_1(A,B))))) # label(d5_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10413 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k2_ens_1(A)))) # label(fc2_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10414 (all A all B all C (m1_subset_1(B,k2_ens_1(A)) & m1_subset_1(C,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k6_ens_1(A,B,C),k2_ens_1(A)))) # label(dt_k6_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10415 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> k22_ens_1(A,B,C) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)),k19_ens_1(A,k2_cat_1(A,C),B),k18_ens_1(A,k2_cat_1(A,B),C)))))))) # label(t55_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10416 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> k16_ens_1(A,B) = B)))) # label(d18_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10417 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> B = k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,B)),k2_mcart_1(B)))))) # label(t8_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10418 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k3_ens_1(A,B) = k1_mcart_1(k1_mcart_1(B)))))) # label(d4_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10419 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r1_tarski(k1_funct_2(B,C),k1_ens_1(A)))))))) # label(t2_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10420 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> m1_subset_1(k16_ens_1(A,B),k2_ens_1(A)))) # label(dt_k16_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10421 $T # label(dt_k2_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10422 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k14_cat_2(k2_oppcat_1(B),B,k12_ens_1(A),k26_ens_1(A,B),k3_oppcat_1(B,C)) = k24_ens_1(A,B,C)))))))) # label(t65_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10423 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k6_partfun1(B) = k2_mcart_1(k5_ens_1(A,B)) & k4_ens_1(A,k5_ens_1(A,B)) = B & B = k3_ens_1(A,k5_ens_1(A,B)))))) # label(t11_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10424 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> k10_cat_1(k12_ens_1(A),B) = k5_ens_1(A,k14_ens_1(A,B)))))) # label(t29_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10425 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> r1_tarski(k2_ens_1(B),k2_ens_1(A)))))) # label(t7_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10426 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(k3_ens_1(A,B),A))) # label(dt_k3_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10427 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & v1_funct_2(D,k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,k3_cat_1(A,C),B)) -> k1_funct_1(D,E) = k4_cat_1(A,C,E)))) <-> k19_ens_1(A,B,C) = D))))))))) # label(d21_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10428 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> B = k14_ens_1(A,B))))) # label(d16_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10429 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u2_cat_1(B),u2_cat_1(k12_ens_1(A)),k24_ens_1(A,B,C),D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,C,k2_cat_1(B,D)),k6_cat_1(B,C,k3_cat_1(B,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,C,k2_cat_1(B,D)),k6_cat_1(B,C,k3_cat_1(B,D))),k18_ens_1(B,C,D))))))))))) # label(t59_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10430 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> B = k13_ens_1(A,B))))) # label(d15_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10431 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k13_ens_1(A,B),u1_cat_1(k12_ens_1(A))))) # label(dt_k13_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10432 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> r1_cat_2(k12_ens_1(B),k12_ens_1(A)))))) # label(t40_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10433 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k12_ens_1(A))) -> (k2_cat_1(k12_ens_1(A),B) = k3_cat_1(k12_ens_1(A),C) -> k6_ens_1(A,k16_ens_1(A,C),k16_ens_1(A,B)) = k4_cat_1(k12_ens_1(A),C,B)))))))) # label(t28_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10434 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_ens_1(B)) <-> (exists C exists D (m1_subset_1(D,B) & k7_ens_1(B,C,D) = A & m1_subset_1(C,B)))))) # label(fraenkel_a_1_2_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10435 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> m1_oppcat_1(k21_ens_1(B,C),B,k12_ens_1(A))))))))) # label(t50_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10436 (all A all B (m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k15_ens_1(A,B),u2_cat_1(k12_ens_1(A))))) # label(dt_k15_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10437 (all A (-v1_xboole_0(A) -> k2_ens_1(A) = a_1_1_ens_1(A))) # label(d2_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10438 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k24_ens_1(A,B,C) = k20_ens_1(B,C)))))))) # label(d26_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10439 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_ens_1(A),A) & m2_relset_1(B,k2_ens_1(A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k2_ens_1(A)) -> k8_funct_2(k2_ens_1(A),A,B,C) = k4_ens_1(A,C))) <-> k9_ens_1(A) = B))))) # label(d11_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10440 (all A (-v1_xboole_0(A) -> l1_cat_1(k12_ens_1(A)))) # label(dt_k12_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10441 $T # label(dt_k1_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10442 (all A (-v1_xboole_0(A) -> v1_funct_1(k10_ens_1(A)) & m2_relset_1(k10_ens_1(A),k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)))) # label(dt_k10_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10443 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r1_tarski(k7_ens_1(A,B,C),k2_ens_1(A)))))))) # label(t17_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10444 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_tarski(k17_ens_1(B),A) -> m2_cat_1(k23_ens_1(B),k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A))))))) # label(t58_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10445 (all A all B (m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_2(k21_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(k21_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(k21_ens_1(A,B)))) # label(dt_k21_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10446 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k18_ens_1(A,B,k10_cat_1(A,C)) = k6_partfun1(k6_cat_1(A,B,C)))))))) # label(t43_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10447 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (B = k3_ens_1(A,D) & k4_ens_1(A,D) = C <-> r2_hidden(D,k7_ens_1(A,B,C))))))))))) # label(t19_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10448 (all A (v2_cat_1(A) & l1_cat_1(A) -> a_1_3_ens_1(A) = k17_ens_1(A))) # label(d19_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10449 (all A (-v1_xboole_0(A) -> v1_funct_2(k9_ens_1(A),k2_ens_1(A),A) & m2_relset_1(k9_ens_1(A),k2_ens_1(A),A) & v1_funct_1(k9_ens_1(A)))) # label(dt_k9_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10450 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) -> r2_hidden(k2_mcart_1(D),k1_funct_2(B,C))))))))))) # label(t20_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10451 (all A (-v1_xboole_0(A) -> v2_cat_1(k12_ens_1(A)) & v1_cat_1(k12_ens_1(A)))) # label(fc4_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10452 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v4_cat_1(B,k12_ens_1(A)) -> (all C (m1_subset_1(C,A) -> (all D all E -(D != E & r2_hidden(E,C) & r2_hidden(D,C))))) | v1_ens_1(k16_ens_1(A,B),A)))))) # label(t37_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10453 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r2_hidden(k4_tarski(k4_tarski(C,D),B),k2_ens_1(A)) -> (k1_xboole_0 = D -> k1_xboole_0 = C) & v1_funct_1(B) & m2_relset_1(B,C,D) & v1_funct_2(B,C,D))))))) # label(t10_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10454 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m2_relset_1(B,u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_2(B,u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_1(B) -> ((all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A)),B,k13_cat_2(A,A,C,D)) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,D))),k22_ens_1(A,C,D)))))) <-> k23_ens_1(A) = B))))) # label(d25_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10455 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v3_cat_1(B,k12_ens_1(A)) <-> v2_funct_1(k2_mcart_1(k16_ens_1(A,B)))))))) # label(t36_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10456 (all A all B all C (l1_cat_1(B) & m1_subset_1(C,u1_cat_1(B)) & v2_cat_1(B) & -v1_xboole_0(A) -> m1_oppcat_1(k25_ens_1(A,B,C),B,k12_ens_1(A)))) # label(dt_k25_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10457 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,B)),k1_domain_1(A,A,B,B),k6_partfun1(B)) = k5_ens_1(A,B))))) # label(d6_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10458 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u1_cat_1(B),u1_cat_1(k12_ens_1(A)),k12_cat_1(B,k12_ens_1(A),k24_ens_1(A,B,C)),D) = k6_cat_1(B,C,D)))))))))) # label(t60_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10459 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k1_xboole_0 = k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)) -> k1_xboole_0 = k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C))))))))) # label(t51_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10460 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(k4_ens_1(A,B),A))) # label(dt_k4_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10461 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,A,k2_ens_1(A)) & v1_funct_2(B,A,k2_ens_1(A)) -> ((all C (m1_subset_1(C,A) -> k8_funct_2(A,k2_ens_1(A),B,C) = k5_ens_1(A,C))) <-> k11_ens_1(A) = B))))) # label(d13_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10462 $T # label(dt_k17_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10463 (all A (-v1_xboole_0(A) -> k3_tarski(a_1_0_ens_1(A)) = k1_ens_1(A))) # label(d1_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10464 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> r1_tarski(k1_ens_1(B),k1_ens_1(A)))))) # label(t3_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10465 (all A all B (m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_2(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(k20_ens_1(A,B)))) # label(dt_k20_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10466 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) -> v1_funct_1(k2_mcart_1(B)) & v1_relat_1(k2_mcart_1(B)))) # label(fc3_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10467 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> m1_subset_1(B,k2_ens_1(A)))))) # label(t25_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10468 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u2_cat_1(k11_cat_2(k2_oppcat_1(B),B)),u2_cat_1(k12_ens_1(A)),k26_ens_1(A,B),k13_cat_2(k2_oppcat_1(B),B,k5_oppcat_1(B,C),D)) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,k3_cat_1(B,C),k2_cat_1(B,D)),k6_cat_1(B,k2_cat_1(B,C),k3_cat_1(B,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,k3_cat_1(B,C),k2_cat_1(B,D)),k6_cat_1(B,k2_cat_1(B,C),k3_cat_1(B,D))),k22_ens_1(B,C,D))))))))))) # label(t63_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10469 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> -(v6_cat_1(B,k12_ens_1(A)) & (all C k1_tarski(C) != B) & A != k1_tarski(k1_xboole_0)))))) # label(t34_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10470 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (k2_relat_1(k2_mcart_1(B)) = k4_ens_1(A,B) <-> v1_ens_1(B,A)))))) # label(d9_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10471 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u2_cat_1(B),u2_cat_1(k12_ens_1(A)),k25_ens_1(A,B,C),D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,k3_cat_1(B,D),C),k6_cat_1(B,k2_cat_1(B,D),C))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,k3_cat_1(B,D),C),k6_cat_1(B,k2_cat_1(B,D),C)),k19_ens_1(B,C,D))))))))))) # label(t61_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10472 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (exists C (m1_subset_1(C,k1_ens_1(A)) & (exists D ((exists E ((k1_xboole_0 = E -> k1_xboole_0 = D) & v1_funct_1(C) & v1_funct_2(C,D,E) & m2_relset_1(C,D,E) & B = k1_domain_1(k2_zfmisc_1(A,A),k1_ens_1(A),k1_domain_1(A,A,D,E),C) & m1_subset_1(E,A))) & m1_subset_1(D,A))))))))) # label(t4_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10473 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (k3_ens_1(A,B) = k4_ens_1(A,C) -> k2_mcart_1(k6_ens_1(A,C,B)) = k5_relat_1(k2_mcart_1(C),k2_mcart_1(B)) & k4_ens_1(A,B) = k4_ens_1(A,k6_ens_1(A,C,B)) & k3_ens_1(A,C) = k3_ens_1(A,k6_ens_1(A,C,B))))))))) # label(t12_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10474 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_partfun1(k6_cat_1(A,B,C)) = k22_ens_1(A,k10_cat_1(A,B),k10_cat_1(A,C)))))))) # label(t54_ens_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10475 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k16_borsuk_1(A,B))) -> (exists D (C = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B)),k17_borsuk_1(A,B),D) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t71_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10476 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (m1_borsuk_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> (all D (m2_connsp_2(D,A,C) -> (exists E (v3_pre_topc(E,A) & r1_tarski(E,D) & (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(F,B) -> r1_xboole_0(F,E) | r1_tarski(F,E)))) & r1_tarski(C,E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))))))))))) # label(d13_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10477 (all A all B all C (l1_struct_0(A) & -v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l1_struct_0(B) -> v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k3_borsuk_1(A,B,C)))) # label(dt_k3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10478 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D),u1_struct_0(k16_borsuk_1(B,C))) -> r2_hidden(D,u1_struct_0(B))))))))))) # label(t79_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10479 (all A all B all C all D (v1_funct_2(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_relset_1(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) -> m1_subset_1(k14_borsuk_1(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))) # label(dt_k14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10480 (all A all B all C (m1_subset_1(C,A) & -v1_xboole_0(A) -> v1_funct_1(k1_borsuk_1(A,B,C)) & v1_funct_2(k1_borsuk_1(A,B,C),B,A) & m2_relset_1(k1_borsuk_1(A,B,C),B,A))) # label(dt_k1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10481 (all A all B all C (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & m1_borsuk_1(C,B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(A) -> m1_borsuk_1(k19_borsuk_1(A,B,C),A))) # label(dt_k19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10482 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k1_borsuk_1(u1_struct_0(B),u1_struct_0(A),C) = k3_borsuk_1(A,B,C))))))) # label(d3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10483 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (v2_borsuk_1(C,B) & m1_borsuk_1(C,B) -> (r1_borsuk_1(A,B) -> r1_borsuk_1(k16_borsuk_1(A,k20_borsuk_1(A,B,C)),k21_borsuk_1(A,B,C))))))))) # label(t84_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10484 (all A all B (l1_pre_topc(A) & l1_pre_topc(B) & v2_pre_topc(B) & v2_pre_topc(A) -> l1_pre_topc(k6_borsuk_1(A,B)) & v2_pre_topc(k6_borsuk_1(A,B)) & v1_pre_topc(k6_borsuk_1(A,B)))) # label(dt_k6_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10485 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (r2_hidden(D,u1_struct_0(B)) -> r2_hidden(k1_funct_1(k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D),u1_struct_0(k16_borsuk_1(B,C))))))))))) # label(t80_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10486 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> k2_funct_2(A,B,C,k5_setfam_1(A,D)) = k5_setfam_1(B,k2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(B),k2_funct_3(A,B,C),D)))))))) # label(t16_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10487 (all A all B all C (v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) -> ((exists D exists E (r2_hidden(E,u1_pre_topc(C)) & r2_hidden(D,u1_pre_topc(B)) & k12_mcart_1(u1_struct_0(B),u1_struct_0(C),D,E) = A & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_1_borsuk_1(B,C))))) # label(fraenkel_a_2_1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10488 (all A all B all C all D all E (-v3_struct_0(A) & v2_pre_topc(B) & l1_pre_topc(C) & v5_pre_topc(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(E) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & v2_pre_topc(C) & -v3_struct_0(C) & l1_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_funct_1(k4_borsuk_1(A,B,C,D,E)) & v1_funct_2(k4_borsuk_1(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v5_pre_topc(k4_borsuk_1(A,B,C,D,E),A,C) & m2_relset_1(k4_borsuk_1(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)))) # label(dt_k4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10489 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> (k1_xboole_0 != k12_mcart_1(A,B,C,D) -> k2_funct_2(k2_zfmisc_1(A,B),A,k9_funct_3(A,B),k12_mcart_1(A,B,C,D)) = C & k2_funct_2(k2_zfmisc_1(A,B),B,k10_funct_3(A,B),k12_mcart_1(A,B,C,D)) = D))))) # label(t12_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10490 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) -> v2_pre_topc(k16_borsuk_1(A,B)) & l1_pre_topc(k16_borsuk_1(A,B)) & v1_pre_topc(k16_borsuk_1(A,B)))) # label(dt_k16_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10491 $T # label(t1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10492 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> k13_borsuk_1(A,B) = k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B))))))) # label(d8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10493 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10494 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m1_borsuk_1(k15_borsuk_1(A),A))) # label(t82_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10495 $T # label(t8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10496 (all A all B all C all D all E (-v3_struct_0(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(C) & v2_pre_topc(C) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & v1_funct_1(D) & l1_pre_topc(C) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> k4_borsuk_1(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10497 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> k11_borsuk_1(A,B,C) = a_3_1_borsuk_1(A,B,C))))))) # label(d6_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10498 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D) = k1_struct_0(A,D)))))))))) # label(t77_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10499 (all A all B all C (v2_pre_topc(A) & m1_pre_topc(B,A) & -v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_eqrel_1(k18_borsuk_1(A,B,C),u1_struct_0(A)) & -v1_xboole_0(k18_borsuk_1(A,B,C)))) # label(dt_k18_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10500 (all A all B (m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> m2_relset_1(k17_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B))) & v5_pre_topc(k17_borsuk_1(A,B),A,k16_borsuk_1(A,B)) & v1_funct_2(k17_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B))) & v1_funct_1(k17_borsuk_1(A,B)))) # label(dt_k17_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10501 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> k3_tarski(C) = k3_funct_2(A,B,k2_borsuk_1(A,B),C))))))) # label(t31_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10502 (all A (-v3_struct_0(A) & l1_struct_0(A) -> v1_setfam_1(k15_borsuk_1(A)) & -v1_xboole_0(k15_borsuk_1(A)))) # label(fc3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10503 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_connsp_2(E,A,C) -> (all F (m1_connsp_2(F,B,D) -> m1_connsp_2(k7_borsuk_1(A,B,E,F),k6_borsuk_1(A,B),k8_borsuk_1(A,B,C,D)))))))))))))) # label(t48_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10504 (all A all B (l1_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k16_borsuk_1(A,B)) & v2_pre_topc(k16_borsuk_1(A,B)) & -v3_struct_0(k16_borsuk_1(A,B)))) # label(fc4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10505 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) & v1_pre_topc(C) -> (a_2_2_borsuk_1(A,B) = u1_pre_topc(C) & B = u1_struct_0(C) <-> C = k16_borsuk_1(A,B)))))))) # label(d10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10506 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B))) = k12_borsuk_1(A,B))))) # label(d7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.95 10507 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> -(r1_tarski(C,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),D)) & (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> -(r1_tarski(E,D) & C = k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),E) & v1_finset_1(E)))) & v1_finset_1(C)))))))))) # label(t64_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10508 (all A all B all C (m1_eqrel_1(C,u1_struct_0(B)) & l1_pre_topc(B) & v2_pre_topc(B) -> (r2_hidden(A,a_2_2_borsuk_1(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(C)) & r2_hidden(k3_tarski(D),u1_pre_topc(B)) & D = A))))) # label(fraenkel_a_2_2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10509 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) -> ((all E (r2_hidden(E,D) -> r1_tarski(E,C) & (exists F ((exists G (m1_subset_1(G,k1_zfmisc_1(B)) & k12_mcart_1(A,B,F,G) = E)) & m1_subset_1(F,k1_zfmisc_1(A)))))) -> r1_tarski(k2_zfmisc_1(k3_tarski(k9_relat_1(k1_funct_3(k9_funct_3(A,B)),D)),k1_setfam_1(k9_relat_1(k1_funct_3(k10_funct_3(A,B)),D))),C)))))) # label(t14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10510 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> -v1_xboole_0(k8_eqrel_1(A,B)))))) # label(t28_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10511 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k3_tarski(k5_setfam_1(A,B)) = k3_tarski(a_2_0_borsuk_1(A,B)))) # label(t17_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10512 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,C) -> k1_domain_1(B,C,k8_funct_2(A,B,D,E),F) = k8_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k1_domain_1(A,C,E,F)))))))))))))) # label(t21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10513 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(D,B) & v3_pre_topc(C,A) -> v3_pre_topc(k7_borsuk_1(A,B,C,D),k6_borsuk_1(A,B))))))))))) # label(t46_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10514 (all A all B all C all D (v1_funct_2(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & m1_relset_1(C,k1_pcomps_1(A),k1_pcomps_1(B)) & v1_funct_1(C) -> k14_borsuk_1(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10515 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> -(k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),E) = D & r2_hidden(E,C)))) & r2_hidden(D,k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),C)))))))))) # label(t58_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10516 $T # label(t2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10517 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B m1_borsuk_1(B,A)))) # label(existence_m1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10518 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> k2_borsuk_1(u1_struct_0(A),B) = k17_borsuk_1(A,B))))) # label(d11_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10519 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) & -v3_struct_0(A) -> v1_funct_1(k13_borsuk_1(A,B)) & v1_funct_2(k13_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B))) & m2_relset_1(k13_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B))))) # label(dt_k13_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10520 $T # label(t43_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10521 (all A all B all C all D (v2_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & l1_pre_topc(A) & v2_pre_topc(A) -> m1_subset_1(k7_borsuk_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))))) # label(dt_k7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10522 (all A all B all C all D all E all F (l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(E,A,C) & m1_connsp_2(F,B,D) & v2_pre_topc(A) & -v3_struct_0(A) -> k9_borsuk_1(A,B,C,D,E,F) = k2_zfmisc_1(E,F))) # label(redefinition_k9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10523 (all A all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) & -v1_xboole_0(A) -> m2_relset_1(k2_borsuk_1(A,B),A,B) & v1_funct_2(k2_borsuk_1(A,B),A,B) & v1_funct_1(k2_borsuk_1(A,B)))) # label(dt_k2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10524 (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)) -> B != k1_struct_0(A,C))) & r2_hidden(B,k15_borsuk_1(A))))))) # label(t68_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10525 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_compts_1(k6_borsuk_1(A,B),C,k7_borsuk_1(A,B,D,E)) -> (k1_xboole_0 != D -> r1_compts_1(B,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C),E)) & (E != k1_xboole_0 -> r1_compts_1(A,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C),D))))))))))))) # label(t62_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10526 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v4_pre_topc(C,A)))) <-> v1_borsuk_1(B,A)))))) # label(d14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10527 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(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(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(E,C) & (all F -(r1_xboole_0(F,D) & r2_hidden(F,E))) & r1_compts_1(A,E,D)))) & r1_compts_1(A,C,D)))))))))) # label(t63_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10528 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,C) -> k12_mcart_1(A,C,k3_funct_2(A,B,D,k6_domain_1(B,E)),k6_domain_1(C,F)) = k3_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k6_domain_1(k2_zfmisc_1(B,C),k1_domain_1(B,C,E,F))))))))))))))) # label(t24_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10529 (all A (l1_struct_0(A) -> m1_eqrel_1(k15_borsuk_1(A),u1_struct_0(A)))) # label(dt_k15_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10530 (all A (l1_struct_0(A) -> k8_eqrel_1(u1_struct_0(A),k6_partfun1(u1_struct_0(A))) = k15_borsuk_1(A))) # label(d9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10531 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> k1_funct_1(k13_borsuk_1(A,B),k1_xboole_0) = k1_xboole_0 & k1_xboole_0 = k1_funct_1(k12_borsuk_1(A,B),k1_xboole_0))))) # label(t66_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10532 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> v1_tops_2(k11_borsuk_1(A,B,C),k6_borsuk_1(A,B)))))))) # label(t51_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10533 (all A (l1_pre_topc(A) -> (A = k22_borsuk_1 <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(k8_metric_1)))) -> (B = k1_rcomp_1(np__0,np__1) -> A = k3_pre_topc(k5_pcomps_1(k8_metric_1),B))))))) # label(d16_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10534 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = D))) <-> v3_borsuk_1(C,A,B)))))))) # label(d19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10535 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> (k1_xboole_0 != k12_mcart_1(A,B,C,D) -> D = k1_funct_1(k1_funct_3(k10_funct_3(A,B)),k12_mcart_1(A,B,C,D)) & C = k1_funct_1(k1_funct_3(k9_funct_3(A,B)),k12_mcart_1(A,B,C,D))))))) # label(t13_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10536 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(C,k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B)),k17_borsuk_1(A,B),C)))))))) # label(t70_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10537 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) -> (r2_hidden(A,a_2_0_borsuk_1(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(B)) & r2_hidden(D,C) & k3_tarski(D) = A))))) # label(fraenkel_a_2_0_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10538 (all A all B all C r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B))) # label(t6_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10539 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),C) = D -> v3_pre_topc(D,A)) & (E = k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),C) -> v3_pre_topc(E,B))))))))))))) # label(t59_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10540 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(C,u1_pre_topc(k16_borsuk_1(A,B))) <-> r2_hidden(k3_tarski(C),u1_pre_topc(A))))))))) # label(t69_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10541 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_borsuk_1(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v6_compts_1(C,A)))) <-> v2_borsuk_1(B,A)))))) # label(d15_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10542 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> k2_relat_1(k17_borsuk_1(A,B)) = u1_struct_0(k16_borsuk_1(A,B)))))) # label(t72_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10543 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> k2_funct_2(k2_zfmisc_1(B,C),B,k9_funct_3(B,C),A) = k1_funct_1(k1_funct_3(k9_funct_3(B,C)),A))) # label(t9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10544 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> ((exists C (v1_funct_1(C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,k23_borsuk_1)) = D & r2_hidden(k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,k24_borsuk_1)),u1_struct_0(B)) & (r2_hidden(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(k22_borsuk_1)) -> D = k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,E))))))) & m2_relset_1(C,u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A)) & v5_pre_topc(C,k6_borsuk_1(A,k22_borsuk_1),A) & v1_funct_2(C,u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A)))) <-> r2_borsuk_1(A,B)))))) # label(d21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10545 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (k3_tarski(C) = D -> k3_subset_1(A,D) = k3_tarski(k3_subset_1(B,C))))))))))) # label(t27_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10546 (all A all B (v2_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_relat_1(C) & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & -v1_xboole_0(C))))) # label(rc2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10547 $T # label(t34_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10548 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m2_connsp_2(D,A,C) -> (r1_tarski(B,C) -> m2_connsp_2(D,A,B)))))))))) # label(t39_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10549 (all A all B all C all D (l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & v2_pre_topc(A) & -v3_struct_0(A) -> m1_subset_1(k8_borsuk_1(A,B,C,D),u1_struct_0(k6_borsuk_1(A,B))))) # label(dt_k8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10550 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & m1_borsuk_1(C,B) & v2_borsuk_1(C,B) & v1_borsuk_1(B,A) & -v3_struct_0(A) -> k18_borsuk_1(A,B,C) = k20_borsuk_1(A,B,C))) # label(redefinition_k20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10551 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,u1_struct_0(B)) -> r2_hidden(k1_struct_0(A,D),k18_borsuk_1(A,B,C))))))))))) # label(t75_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10552 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(k6_borsuk_1(A,B))) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & (exists E (m1_subset_1(E,u1_struct_0(B)) & C = k8_borsuk_1(A,B,D,E))))))))))) # label(t50_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10553 (all A all B (m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> k3_xboole_0(k3_tarski(C),k3_tarski(D)) = k3_tarski(k5_subset_1(B,C,D)))))))) # label(t26_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10554 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v5_pre_topc(D,B,A) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) -> (all E (m1_connsp_2(E,A,C) -> m2_connsp_2(k5_pre_topc(B,A,D,E),B,k5_pre_topc(B,A,D,k1_struct_0(A,C))))))))))))) # label(t38_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10555 $T # label(t22_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10556 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) & v2_pre_topc(A) -> m2_relset_1(k12_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A))) & v1_funct_2(k12_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A))) & v1_funct_1(k12_borsuk_1(A,B)))) # label(dt_k12_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10557 (all A all B all C all D all E all F (v2_pre_topc(A) & l1_pre_topc(A) & l1_pre_topc(B) & m1_connsp_2(E,A,C) & m1_connsp_2(F,B,D) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & v2_pre_topc(B) & -v3_struct_0(B) & -v3_struct_0(A) -> m1_connsp_2(k9_borsuk_1(A,B,C,D,E,F),k6_borsuk_1(A,B),k8_borsuk_1(A,B,C,D)))) # label(dt_k9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10558 (all A all B all C all D (v2_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(B,C)))) & l1_pre_topc(B) -> ((exists E exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & v3_pre_topc(F,C) & v3_pre_topc(E,B) & r1_tarski(k7_borsuk_1(B,C,E,F),D) & A = k7_borsuk_1(B,C,E,F) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_3_1_borsuk_1(B,C,D))))) # label(fraenkel_a_3_1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10559 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A))))) # label(rc3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10560 (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 (v1_funct_1(F) & v1_funct_2(F,B,C) & m2_relset_1(F,B,C) -> k7_funct_2(A,B,C,D,F) != E)) & (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (k8_funct_2(A,B,D,G) = k8_funct_2(A,B,D,F) -> k8_funct_2(A,C,E,G) = k8_funct_2(A,C,E,F))))))))))))))))) # label(t19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10561 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> -(r2_hidden(E,C) & k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),E) = D))) & r2_hidden(D,k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),C)))))))))) # label(t57_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10562 (all A all B all C all D (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l1_pre_topc(A) -> k8_borsuk_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10563 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> r1_tarski(u1_struct_0(B),u1_struct_0(A)))))) # label(t35_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10564 (all A all B all C all D all E all F (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_connsp_2(F,B,D) & m2_connsp_2(E,A,C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> k10_borsuk_1(A,B,C,D,E,F) = k2_zfmisc_1(E,F))) # label(redefinition_k10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10565 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> k2_xboole_0(C,a_2_3_borsuk_1(A,B)) = k18_borsuk_1(A,B,C))))))) # label(d12_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10566 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_borsuk_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k16_borsuk_1(A,B))) -> (all D (m2_connsp_2(D,A,k5_pre_topc(A,k16_borsuk_1(A,B),k17_borsuk_1(A,B),k1_struct_0(k16_borsuk_1(A,B),C))) -> m1_connsp_2(k4_pre_topc(A,k16_borsuk_1(A,B),k17_borsuk_1(A,B),D),k16_borsuk_1(A,B),C))))))))) # label(t81_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10567 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k3_funct_2(A,A,k6_partfun1(A),B) = B)) # label(t4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10568 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> k12_mcart_1(B,C,k2_funct_2(A,B,D,E),F) = k2_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k12_mcart_1(A,C,E,F)))))))))))))) # label(t23_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10569 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> m1_subset_1(k3_tarski(C),k1_zfmisc_1(A)))))))) # label(t25_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10570 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> -(D = k1_struct_0(A,E) & -r2_hidden(E,k2_pre_topc(B))))) & -r2_hidden(D,C) & r2_hidden(D,k18_borsuk_1(A,B,C))))))))))) # label(t74_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10571 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_zfmisc_1(A),B) -> (r2_hidden(C,D) -> D = k8_funct_2(A,B,k2_borsuk_1(A,B),C)))))))))) # label(t29_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10572 $T # label(t40_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10573 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) -> ((all E (r2_hidden(E,D) -> (exists F (m1_subset_1(F,k1_zfmisc_1(A)) & (exists G (m1_subset_1(G,k1_zfmisc_1(B)) & E = k12_mcart_1(A,B,F,G))))) & r1_tarski(E,C))) -> r1_tarski(k2_zfmisc_1(k1_setfam_1(k9_relat_1(k1_funct_3(k9_funct_3(A,B)),D)),k3_tarski(k9_relat_1(k1_funct_3(k10_funct_3(A,B)),D))),C)))))) # label(t15_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10574 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> ((all E (r2_hidden(E,D) -> (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & (exists G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & E = k7_borsuk_1(A,B,F,G))))) & r1_tarski(E,C))) -> r1_tarski(k7_borsuk_1(A,B,k5_setfam_1(u1_struct_0(A),k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),D)),k6_setfam_1(u1_struct_0(B),k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),D))),C)))))))))) # label(t56_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10575 (all A all B (-v3_struct_0(A) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_pre_topc(k6_borsuk_1(A,B)) & v2_pre_topc(k6_borsuk_1(A,B)) & -v3_struct_0(k6_borsuk_1(A,B)))) # label(fc2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10576 $T # label(t7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10577 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k5_setfam_1(A,B) = A -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (k3_tarski(C) = D -> r1_tarski(k3_subset_1(A,D),k3_tarski(k3_subset_1(B,C))))))))))) # label(t18_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10578 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),E) -> E = D | r2_hidden(D,u1_struct_0(B))))))))))))) # label(t78_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10579 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) -> (k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) = u1_struct_0(C) & a_3_0_borsuk_1(A,B,C) = u1_pre_topc(C) <-> k6_borsuk_1(A,B) = C))))))) # label(d5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10580 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v6_compts_1(D,B) -> (all E (m2_connsp_2(E,k6_borsuk_1(B,A),k7_borsuk_1(B,A,D,k1_struct_0(A,C))) -> (exists F ((exists G (m1_connsp_2(G,A,C) & r1_tarski(k10_borsuk_1(B,A,D,C,F,G),E))) & m2_connsp_2(F,B,D)))))))))))))) # label(t67_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10581 (all A all B all C (l1_pre_topc(A) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) & v2_pre_topc(B) & v2_pre_topc(A) -> m1_subset_1(k11_borsuk_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))))) # label(dt_k11_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10582 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k7_borsuk_1(A,B,k1_tops_1(A,C),k1_tops_1(B,D)) = k1_tops_1(k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)))))))))) # label(t47_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10583 $T # label(t11_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10584 (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 -> (v6_compts_1(D,B) <-> v6_compts_1(C,A))))))))))) # label(t42_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10585 (all A all B all C all D (v2_pre_topc(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(B) & l1_pre_topc(A) & v2_pre_topc(A) -> k2_zfmisc_1(C,D) = k7_borsuk_1(A,B,C,D))) # label(redefinition_k7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10586 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> k1_funct_1(k17_borsuk_1(B,C),D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D)))))))))) # label(t76_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10587 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> r2_hidden(D,k8_funct_2(A,B,C,D)))) <-> k2_borsuk_1(A,B) = C))))))) # label(d1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10588 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m2_subset_1(C,k1_zfmisc_1(A),B) -> k3_funct_2(A,B,k2_borsuk_1(A,B),k6_domain_1(B,C)) = C)))))) # label(t30_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10589 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k1_xboole_0 != k7_borsuk_1(A,B,C,D) -> k8_funct_2(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)) = C & k8_funct_2(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)) = D))))))))) # label(t65_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10590 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (r1_tarski(C,D) -> r1_tarski(k11_borsuk_1(A,B,C),k11_borsuk_1(A,B,D))))))))))) # label(t52_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10591 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (r1_borsuk_1(A,B) <-> (exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B) & v5_pre_topc(C,A,B)))))))) # label(d20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10592 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> r1_tarski(k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)),C))))))) # label(t53_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10593 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m2_subset_1(C,k1_zfmisc_1(A),B) -> (exists D (C = k8_funct_2(A,B,k2_borsuk_1(A,B),D) & m1_subset_1(D,A))))))))) # label(t32_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10594 (all A all B all C all D (v2_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(C) & v2_pre_topc(D) & l1_pre_topc(D) & v1_pre_topc(D) & l1_pre_topc(B) -> (r2_hidden(A,a_3_0_borsuk_1(B,C,D)) <-> (exists E (k5_setfam_1(u1_struct_0(D),E) = A & r1_tarski(E,a_2_1_borsuk_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D))))))))) # label(fraenkel_a_3_0_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10595 $T # label(t44_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10596 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) -> k2_funcop_1(B,C) = k1_borsuk_1(A,B,C))) # label(redefinition_k1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10597 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> k1_tops_1(k6_borsuk_1(A,B),C) = k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)))))))) # label(t55_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10598 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v6_compts_1(k1_struct_0(A,B),A))))) # label(t41_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10599 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) -> k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)) = C))))))) # label(t54_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10600 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> v5_pre_topc(k3_borsuk_1(B,A,C),B,A))))))) # label(t36_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10601 (all A all B all C all D all E (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & m1_connsp_2(E,B,C) & v5_pre_topc(D,A,B) & v1_funct_1(D) & v2_pre_topc(B) & v2_pre_topc(A) -> k10_relat_1(D,E) = k5_borsuk_1(A,B,C,D,E))) # label(redefinition_k5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10602 (all A all B all C (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & v2_pre_topc(A) -> k21_borsuk_1(A,B,C) = k16_borsuk_1(B,C))) # label(redefinition_k21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10603 (all A all B all C (-v3_struct_0(B) & m1_borsuk_1(C,B) & v2_borsuk_1(C,B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_borsuk_1(k21_borsuk_1(A,B,C),k16_borsuk_1(A,k20_borsuk_1(A,B,C))) & m1_pre_topc(k21_borsuk_1(A,B,C),k16_borsuk_1(A,k20_borsuk_1(A,B,C))) & v1_pre_topc(k21_borsuk_1(A,B,C)))) # label(dt_k21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10604 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (v1_setfam_1(B) & v2_borsuk_1(B,A) & -v1_xboole_0(B) & m1_borsuk_1(B,A))))) # label(rc5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10605 (all A all B all C all D all E all F (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & m1_connsp_2(F,B,D) & m2_connsp_2(E,A,C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(B) & v2_pre_topc(B) & v2_pre_topc(A) -> m2_connsp_2(k10_borsuk_1(A,B,C,D,E,F),k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,k1_struct_0(B,D))))) # label(dt_k10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10606 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & m1_borsuk_1(C,B) & -v3_struct_0(A) -> k18_borsuk_1(A,B,C) = k19_borsuk_1(A,B,C))) # label(redefinition_k19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10607 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> k2_funct_2(k2_zfmisc_1(B,C),C,k10_funct_3(B,C),A) = k1_funct_1(k1_funct_3(k10_funct_3(B,C)),A))) # label(t10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10608 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> r1_tarski(k5_pre_topc(A,B,C,k1_tops_1(B,D)),k1_tops_1(A,k5_pre_topc(A,B,C,D))))))))))) # label(t37_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10609 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_borsuk_1(B,A) -> m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B))))) # label(dt_m1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10610 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_xboole_0(D,C) | r1_tarski(D,C)))) -> C = k3_funct_2(A,B,k2_borsuk_1(A,B),k2_funct_2(A,B,k2_borsuk_1(A,B),C))))))))) # label(t33_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10611 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k10_relat_1(C,B)) -> r1_tarski(k9_relat_1(C,A),B)))) # label(t5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10612 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C) = k1_xboole_0 | k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C) = k1_xboole_0 -> C = k1_xboole_0))))))) # label(t61_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10613 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> ((exists D (k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),D) = C & (all E -((all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (all G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) -> -(v3_pre_topc(F,A) & v3_pre_topc(G,B) & k12_mcart_1(u1_struct_0(A),u1_struct_0(B),F,G) = E))))) & r2_hidden(E,D))) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))))) <-> v3_pre_topc(C,k6_borsuk_1(A,B))))))))) # label(t45_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10614 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> r1_tarski(C,k18_borsuk_1(A,B,C)))))))) # label(t73_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10615 (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_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,B,C) & m2_relset_1(F,B,C) -> r1_tarski(k3_funct_2(A,B,E,k6_domain_1(B,D)),k3_funct_2(A,C,k7_funct_2(A,B,C,E,F),k6_domain_1(C,k8_funct_2(B,C,F,D)))))))))))))))) # label(t20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10616 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v2_pre_topc(B) & -v3_struct_0(A) -> -v1_xboole_0(k3_borsuk_1(A,B,C)) & v1_partfun1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k3_borsuk_1(A,B,C),A,B) & v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k3_borsuk_1(A,B,C)) & v1_relat_1(k3_borsuk_1(A,B,C)))) # label(fc1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10617 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (v2_borsuk_1(C,B) & m1_borsuk_1(C,B) -> (r2_borsuk_1(A,B) -> r2_borsuk_1(k16_borsuk_1(A,k20_borsuk_1(A,B,C)),k21_borsuk_1(A,B,C))))))))) # label(t85_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10618 (all A (-v1_xboole_0(A) -> (exists B (m1_eqrel_1(B,A) & v1_setfam_1(B) & -v1_xboole_0(B))))) # label(rc1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10619 (all A all B all C (-v3_struct_0(B) & m1_pre_topc(B,A) & m1_borsuk_1(C,B) & v2_borsuk_1(C,B) & v1_borsuk_1(B,A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> m1_borsuk_1(k20_borsuk_1(A,B,C),A) & v2_borsuk_1(k20_borsuk_1(A,B,C),A))) # label(dt_k20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10620 $T # label(d4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10621 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (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,u1_struct_0(A)) -> (all E (m1_connsp_2(E,B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) -> (exists F (m1_connsp_2(F,A,D) & r1_tarski(k4_pre_topc(A,B,C,F),E))))))) <-> v5_pre_topc(C,A,B)))))))) # label(d2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10622 (all A all B all C (v2_pre_topc(B) & l1_pre_topc(B) & m1_pre_topc(C,B) & -v3_struct_0(C) & -v3_struct_0(B) -> (r2_hidden(A,a_2_3_borsuk_1(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & -r2_hidden(D,u1_struct_0(C)) & k1_struct_0(B,D) = A))))) # label(fraenkel_a_2_3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10623 (all A all B all C all D all E (v2_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & m1_connsp_2(E,B,C) & l1_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> m2_connsp_2(k5_borsuk_1(A,B,C,D,E),A,k5_pre_topc(A,B,D,k1_struct_0(B,C))))) # label(dt_k5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.96 10624 $T # label(t3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10625 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (v1_tops_2(C,k6_borsuk_1(A,B)) -> v1_tops_2(k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C),A) & v1_tops_2(k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C),B)))))))) # label(t60_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10626 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m2_connsp_2(E,A,C) -> (all F (m2_connsp_2(F,B,D) -> m2_connsp_2(k7_borsuk_1(A,B,E,F),k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)))))))))))))) # label(t49_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10627 (all A (v3_grcat_1(A) & l1_grcat_1(A) -> (all B (v3_grcat_1(B) & l1_grcat_1(B) -> (k9_grcat_1(A) = k10_grcat_1(B) -> (all C (l1_grcat_1(C) & v3_grcat_1(C) & v2_grcat_1(C) -> ((all D (-v3_struct_0(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & v6_rlvect_1(D) & l1_rlvect_1(D) -> (all E (-v3_struct_0(E) & v4_rlvect_1(E) & v5_rlvect_1(E) & l1_rlvect_1(E) & v6_rlvect_1(E) -> (all F (-v3_struct_0(F) & v6_rlvect_1(F) & l1_rlvect_1(F) & v5_rlvect_1(F) & v4_rlvect_1(F) -> (all G (v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & m2_relset_1(G,u1_struct_0(E),u1_struct_0(F)) & v1_funct_1(G) -> (all H (v1_funct_2(H,u1_struct_0(D),u1_struct_0(E)) & m2_relset_1(H,u1_struct_0(D),u1_struct_0(E)) & v1_funct_1(H) -> (g1_grcat_1(u1_grcat_1(B),u2_grcat_1(B),u3_grcat_1(B)) = g1_grcat_1(D,E,H) & g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A)) = g1_grcat_1(E,F,G) -> C = g1_grcat_1(D,F,k7_funct_2(u1_struct_0(D),u1_struct_0(E),u1_struct_0(F),H,G))))))))))))) <-> C = k15_grcat_1(A,B))))))))) # label(d21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10628 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(A) & -v3_struct_0(A) -> (exists C (v2_grcat_1(C) & v3_grcat_1(C) & m1_grcat_1(C,A,B))))) # label(rc3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10629 (all A ((all B (r2_hidden(B,A) -> -v3_struct_0(B) & v1_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B))) <-> v4_grcat_1(A))) # label(d22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10630 (all A (l1_grcat_1(A) -> k10_grcat_1(A) = u2_grcat_1(A))) # label(d15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10631 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k3_grcat_1(A,B) = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k1_grcat_1(A,B)))))) # label(d7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10632 $T # label(t27_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10633 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_rlvect_1(B) -> v1_grcat_1(k8_grcat_1(A,B),A,B))))) # label(t16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10634 (exists A (-v1_xboole_0(A) & v4_grcat_1(A))) # label(rc4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10635 (exists A (l1_grcat_1(A) & v3_grcat_1(A) & v2_grcat_1(A))) # label(rc2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10636 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k31_grcat_1(A)))) # label(fc14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10637 $T # label(d2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10638 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),k1_grcat_1(A,B)) = k2_grcat_1(A,B))))) # label(d6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10639 (all A (l1_grcat_1(A) -> (all B (v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) -> (g1_grcat_1(B,C,D) = A -> D = k11_grcat_1(A) & k10_grcat_1(A) = C & k9_grcat_1(A) = B))))))))) # label(t17_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10640 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_2(k3_grcat_1(A,B),k1_grcat_1(A,B),B) & m2_relset_1(k3_grcat_1(A,B),k1_grcat_1(A,B),B) & v1_funct_1(k3_grcat_1(A,B)))) # label(dt_k3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10641 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> v1_funct_1(k24_grcat_1(A)) & v1_funct_2(k24_grcat_1(A),k20_grcat_1(A),A) & m2_relset_1(k24_grcat_1(A),k20_grcat_1(A),A))) # label(dt_k24_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10642 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v5_grcat_1(B) -> ((all C ((exists D ((exists E (v2_grcat_1(C) & m1_grcat_1(C,D,E) & m2_grcat_1(E,A) & v1_rlvect_1(E))) & m2_grcat_1(D,A) & v1_rlvect_1(D))) <-> r2_hidden(C,B))) <-> B = k20_grcat_1(A)))))) # label(d30_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10643 (all A (l1_grcat_1(A) -> v5_rlvect_1(u2_grcat_1(A)) & v6_rlvect_1(u2_grcat_1(A)) & l1_rlvect_1(u2_grcat_1(A)) & v4_rlvect_1(u2_grcat_1(A)) & -v3_struct_0(u2_grcat_1(A)))) # label(dt_u2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10644 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m3_grcat_1(B,k20_grcat_1(A)) -> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (k22_grcat_1(A,C) = k21_grcat_1(A,B) -> r2_hidden(k15_grcat_1(B,C),k20_grcat_1(A))))))))) # label(t45_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10645 (all A (l1_grcat_1(A) -> k9_grcat_1(A) = u1_grcat_1(A))) # label(d14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10646 (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) -> r1_cat_2(g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B),k5_grcat_1(A,B)),A))))) # label(t9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10647 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all D (m7_grcat_1(D,A,B,C) -> m1_grcat_1(D,A,B))))) # label(dt_m7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10648 (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)) & k6_cat_1(B,D,E) = A & r2_hidden(E,C) & r2_hidden(D,C))) <-> r2_hidden(A,a_2_0_grcat_1(B,C))))) # label(fraenkel_a_2_0_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10649 (all A all B all C (v5_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists D m7_grcat_1(D,A,B,C)))) # label(existence_m7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10650 $T # label(t1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10651 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_grcat_1(D,B,C) -> (all E (m1_grcat_1(E,A,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)) -> (all G (v1_funct_1(G) & m2_relset_1(G,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(B)) -> (g1_grcat_1(B,C,F) = D & g1_grcat_1(A,B,G) = E -> g1_grcat_1(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),G,F)) = k16_grcat_1(A,B,C,D,E)))))))))))))))) # label(t29_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10652 (all A (v6_rlvect_1(A) & l1_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) & l1_rlvect_1(B) -> (all C (m1_grcat_1(C,A,B) -> (exists D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_grcat_1(D,A,B) & g1_grcat_1(u1_grcat_1(C),u2_grcat_1(C),u3_grcat_1(C)) = g1_grcat_1(A,B,D) & v1_funct_1(D))))))))) # label(t22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10653 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> (all B (m1_subset_1(B,u1_struct_0(k2_algstr_1)) -> k4_rlvect_1(k2_algstr_1,A,B) = k1_xboole_0)))) # label(t8_grcat_1_AndLHS) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10654 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> k5_rlvect_1(k2_algstr_1,A) = k1_xboole_0)) # label(t8_grcat_1_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10655 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> A = k1_xboole_0)) # label(t8_grcat_1_AndRHS_AndRHS_AndRHS) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10656 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r2_hidden(k2_algstr_1,k31_grcat_1(A)))) # label(t54_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10657 (all A (-v1_xboole_0(A) & v1_classes2(A) -> m3_cat_2(k32_grcat_1(A),k30_grcat_1(A)))) # label(dt_k32_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10658 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_grcat_1(C,A,B) & v2_grcat_1(C) -> m4_grcat_1(k1_tarski(C),A,B))))))) # label(t39_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10659 (all A all B (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all C (m4_grcat_1(C,A,B) -> v5_grcat_1(C) & -v1_xboole_0(C))))) # label(dt_m4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10660 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (exists B m2_grcat_1(B,A)))) # label(existence_m2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10661 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_cat_1(k30_grcat_1(A)) & v2_cat_1(k30_grcat_1(A)))) # label(fc13_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10662 (all A all B (v4_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_grcat_1(k14_grcat_1(A,B),A,B) & v2_grcat_1(k14_grcat_1(A,B)))) # label(dt_k14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10663 (all A all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m4_grcat_1(k18_grcat_1(A,B),A,B))) # label(dt_k18_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10664 (all A all B (v2_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) -> m3_cat_2(k6_grcat_1(A,B),A))) # label(dt_k6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10665 (all A all B all C (l1_struct_0(A) & -v1_xboole_0(C) & m5_grcat_1(C,A,B) & l1_struct_0(B) & -v3_struct_0(B) -> (all D (m6_grcat_1(D,A,B,C) -> m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D))))) # label(dt_m6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10666 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m2_grcat_1(B,A) -> k23_grcat_1(A,B) = k13_grcat_1(B))))) # label(d31_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10667 $T # label(t36_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10668 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k1_tarski(k1_xboole_0),A) & r2_hidden(k7_vectsp_2,A) & r2_hidden(k2_midsp_1,A) & r2_hidden(k2_zfmisc_1(k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),A) & r2_hidden(k4_tarski(k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),A))) # label(t6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10669 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m3_grcat_1(B,k20_grcat_1(A)) -> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> -(k21_grcat_1(A,B) = k22_grcat_1(A,C) & (all D (m2_grcat_1(D,A) & v1_rlvect_1(D) -> (all E (m2_grcat_1(E,A) & v1_rlvect_1(E) -> (all F (m2_grcat_1(F,A) & v1_rlvect_1(F) -> -(m1_grcat_1(B,E,F) & m1_grcat_1(C,D,E))))))))))))))) # label(t44_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10670 (all A all B (l1_struct_0(A) & -v3_struct_0(B) & l1_struct_0(B) -> (exists C (-v1_xboole_0(C) & m5_grcat_1(C,A,B))))) # label(rc8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10671 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (exists B (r2_hidden(B,A) & r1_grcat_1(B,k2_algstr_1))))) # label(t41_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10672 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v1_cat_1(k28_grcat_1(A)))) # label(fc10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10673 (all A (v2_grcat_1(A) & l1_grcat_1(A) & v3_grcat_1(A) -> -v1_xboole_0(k1_tarski(A)) & v5_grcat_1(k1_tarski(A)))) # label(t37_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10674 (all A all B all C (r1_grcat_1(A,B) & r1_grcat_1(A,C) -> B = C)) # label(t40_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10675 (all A (-v1_xboole_0(A) & v1_classes2(A) -> m3_cat_2(k30_grcat_1(A),k28_grcat_1(A)))) # label(dt_k30_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10676 $T # label(dt_l1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10677 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k6_grcat_1(k28_grcat_1(A),k29_grcat_1(A)) = k30_grcat_1(A))) # label(d38_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10678 (all A (v1_classes2(A) & -v1_xboole_0(A) -> l1_cat_1(k28_grcat_1(A)))) # label(dt_k28_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10679 (all A all B (-v3_struct_0(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v3_grcat_1(k12_grcat_1(A,B)) & v2_grcat_1(k12_grcat_1(A,B)))) # label(fc5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10680 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(B) -> (all C (l1_rlvect_1(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (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) -> (v1_grcat_1(D,A,B) & v1_grcat_1(E,B,C) -> v1_grcat_1(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C)))))))))))) # label(t14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10681 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k28_grcat_1(A) = g1_cat_1(k19_grcat_1(A),k20_grcat_1(k19_grcat_1(A)),k24_grcat_1(k19_grcat_1(A)),k25_grcat_1(k19_grcat_1(A)),k27_grcat_1(k19_grcat_1(A)),k26_grcat_1(k19_grcat_1(A))))) # label(d36_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10682 (all A (l1_grcat_1(A) -> -v3_struct_0(k9_grcat_1(A)) & v4_rlvect_1(k9_grcat_1(A)) & l1_rlvect_1(k9_grcat_1(A)) & v6_rlvect_1(k9_grcat_1(A)) & v5_rlvect_1(k9_grcat_1(A)))) # label(dt_k9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10683 (all A all B (l1_struct_0(B) & -v3_struct_0(B) & l1_struct_0(A) -> -v1_xboole_0(k17_grcat_1(A,B)))) # label(fc7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10684 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(A) -> (all D (m7_grcat_1(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10685 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k29_grcat_1(A),k1_zfmisc_1(u1_cat_1(k28_grcat_1(A)))))) # label(dt_k29_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10686 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,a_1_0_grcat_1(B)) <-> (exists C (m1_subset_1(C,u1_cat_1(k28_grcat_1(B))) & (exists D (-v3_struct_0(D) & v4_rlvect_1(D) & v5_rlvect_1(D) & l1_rlvect_1(D) & C = D & v6_rlvect_1(D) & v3_rlvect_1(D))) & C = A))))) # label(fraenkel_a_1_0_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10687 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v4_rlvect_1(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & v5_rlvect_1(D) & l1_rlvect_1(D) & v6_rlvect_1(D) & v4_rlvect_1(D) -> (all E (v2_grcat_1(E) & m1_grcat_1(E,A,B) -> (all F (v2_grcat_1(F) & m1_grcat_1(F,B,C) -> (all G (m1_grcat_1(G,C,D) & v2_grcat_1(G) -> k16_grcat_1(A,C,D,G,k16_grcat_1(A,B,C,F,E)) = k16_grcat_1(A,B,D,k16_grcat_1(B,C,D,G,F),E))))))))))))))) # label(t32_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10688 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> u1_cat_1(k6_grcat_1(A,B)) = B)))) # label(t10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10689 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B all C (r2_hidden(B,C) & r2_hidden(C,A) -> r2_hidden(B,A))))) # label(t4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10690 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A))) -> (all D (m1_subset_1(D,u1_cat_1(k28_grcat_1(A))) -> (all E (m2_grcat_1(E,k19_grcat_1(A)) -> v2_grcat_1(B) & m3_grcat_1(B,k20_grcat_1(k19_grcat_1(A))) & m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) & v1_rlvect_1(D) & m1_subset_1(E,u1_cat_1(k28_grcat_1(A))) & m2_grcat_1(D,k19_grcat_1(A)))))))))))) # label(t47_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10691 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k29_grcat_1(A)))) # label(fc12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10692 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v2_grcat_1(C) & m1_grcat_1(C,A,B) -> (exists D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & C = g1_grcat_1(A,B,D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)))))))))) # label(t23_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10693 (all A (v3_grcat_1(A) & l1_grcat_1(A) -> v1_grcat_1(u3_grcat_1(A),u1_grcat_1(A),u2_grcat_1(A)))) # label(t18_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10694 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),k8_grcat_1(A,B),C) = k1_rlvect_1(B))))))) # label(t15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10695 (all A (v1_classes2(A) & -v1_xboole_0(A) -> u1_cat_1(k30_grcat_1(A)) = k29_grcat_1(A))) # label(t52_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10696 (all A all B all C all D -(r2_hidden(D,C) & r1_tarski(C,k2_zfmisc_1(A,B)) & (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k4_tarski(E,F) != D)))))) # label(t2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10697 (all A (l1_grcat_1(A) -> v1_funct_2(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & m2_relset_1(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & v1_funct_1(u3_grcat_1(A)))) # label(dt_u3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10698 (all A all B all C all D all E (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & -v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & m1_grcat_1(E,A,B) & m1_grcat_1(D,B,C) & l1_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(B) & v6_rlvect_1(A) & -v3_struct_0(A) -> k16_grcat_1(A,B,C,D,E) = k15_grcat_1(D,E))) # label(redefinition_k16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10699 (all A (l1_rlvect_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_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (l1_grcat_1(C) & v3_grcat_1(C) -> (A = k9_grcat_1(C) & B = k10_grcat_1(C) <-> m1_grcat_1(C,A,B)))))))) # label(d19_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10700 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) -> v1_rlvect_1(k21_grcat_1(A,B)) & m2_grcat_1(k21_grcat_1(A,B),A))) # label(dt_k21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10701 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k19_grcat_1(A)) -> v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v1_rlvect_1(B) & -v3_struct_0(B))))) # label(t43_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10702 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (exists B m3_grcat_1(B,A)))) # label(existence_m3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10703 (all A all B (r1_grcat_1(A,B) <-> (exists C exists D exists E exists F (A = k4_mcart_1(C,D,E,F) & (exists G (-v3_struct_0(G) & v4_rlvect_1(G) & u1_rlvect_1(G) = D & k7_vectsp_1(G) = E & F = u2_struct_0(G) & C = u1_struct_0(G) & G = B & l1_rlvect_1(G) & v6_rlvect_1(G) & v5_rlvect_1(G) & v1_rlvect_1(G))))))) # label(d28_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10704 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (B = k19_grcat_1(A) <-> (all C (r2_hidden(C,B) <-> (exists D (r2_hidden(D,A) & r1_grcat_1(D,C))))))))) # label(d29_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10705 (exists A (-v1_xboole_0(A) & v5_grcat_1(A))) # label(rc6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10706 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v2_grcat_1(B) & l1_grcat_1(B) & v3_grcat_1(B) -> (A = k10_grcat_1(B) -> k15_grcat_1(k13_grcat_1(A),B) = B))) & (all B (l1_grcat_1(B) & v3_grcat_1(B) & v2_grcat_1(B) -> (A = k9_grcat_1(B) -> k15_grcat_1(B,k13_grcat_1(A)) = B))) & A = k10_grcat_1(k13_grcat_1(A)) & A = k9_grcat_1(k13_grcat_1(A)))) # label(t34_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10707 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k31_grcat_1(A),k1_zfmisc_1(u1_cat_1(k30_grcat_1(A)))))) # label(dt_k31_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10708 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m2_grcat_1(B,A) -> v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B))))) # label(dt_m2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10709 (all A all B (v2_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) -> v1_funct_1(k4_grcat_1(A,B)) & m2_relset_1(k4_grcat_1(A,B),k12_mcart_1(u2_cat_1(A),u2_cat_1(A),k1_grcat_1(A,B),k1_grcat_1(A,B)),k1_grcat_1(A,B)))) # label(dt_k4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10710 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> C = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),k7_grcat_1(A),C) & C = k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C,k7_grcat_1(B)))))))) # label(t12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10711 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> v3_grcat_1(k13_grcat_1(A)) & v2_grcat_1(k13_grcat_1(A)))) # label(fc6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10712 (all A (-v1_xboole_0(A) -> (all B (v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (m4_grcat_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> v2_grcat_1(D) & m1_grcat_1(D,B,C)))))))))) # label(t38_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10713 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (v1_grcat_1(C,A,B) -> v2_grcat_1(g1_grcat_1(A,B,C)) & m1_grcat_1(g1_grcat_1(A,B,C),A,B)))))))) # label(t20_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10714 (all A all B all C all D all E (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & -v3_struct_0(C) & v5_rlvect_1(C) & m1_grcat_1(D,B,C) & m1_grcat_1(E,A,B) & l1_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(A) & -v3_struct_0(A) -> m1_grcat_1(k16_grcat_1(A,B,C,D,E),A,C) & v2_grcat_1(k16_grcat_1(A,B,C,D,E)))) # label(dt_k16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10715 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m2_grcat_1(B,A) <-> m1_subset_1(B,A))))) # label(redefinition_m2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10716 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) -> (exists C m1_grcat_1(C,A,B)))) # label(existence_m1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10717 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> v2_cat_1(k6_grcat_1(A,B)) & v1_cat_1(k6_grcat_1(A,B)))) # label(fc3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10718 $T # label(d1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10719 $T # label(dt_k19_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10720 $T # label(t35_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10721 (all A all B all C (-v3_struct_0(B) & m5_grcat_1(C,A,B) & -v1_xboole_0(C) & l1_struct_0(B) & l1_struct_0(A) -> (exists D m6_grcat_1(D,A,B,C)))) # label(existence_m6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10722 $T # label(d3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10723 (all A all B all C (-v1_xboole_0(C) & m5_grcat_1(C,A,B) & l1_struct_0(B) & -v3_struct_0(B) & l1_struct_0(A) -> (all D (m1_subset_1(D,C) <-> m6_grcat_1(D,A,B,C))))) # label(redefinition_m6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10724 (exists A (l1_grcat_1(A) & v2_grcat_1(A))) # label(rc1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10725 (all A (v1_classes2(A) & -v1_xboole_0(A) -> u1_cat_1(k32_grcat_1(A)) = k31_grcat_1(A))) # label(t53_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10726 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> v1_funct_1(k25_grcat_1(A)) & m2_relset_1(k25_grcat_1(A),k20_grcat_1(A),A) & v1_funct_2(k25_grcat_1(A),k20_grcat_1(A),A))) # label(dt_k25_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10727 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (exists B (-v3_struct_0(B) & v1_rlvect_1(B) & v4_rlvect_1(B) & v1_algstr_1(B) & v3_algstr_1(B) & v4_algstr_1(B) & v6_algstr_1(B) & v5_algstr_1(B) & v2_algstr_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & m1_subset_1(B,A))))) # label(rc5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10728 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m2_relset_1(B,A,k20_grcat_1(A)) & v1_funct_2(B,A,k20_grcat_1(A)) & v1_funct_1(B) -> ((all C (m2_grcat_1(C,A) -> k23_grcat_1(A,C) = k8_funct_2(A,k20_grcat_1(A),B,C))) <-> B = k26_grcat_1(A)))))) # label(d34_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10729 (all A all B (v4_grcat_1(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> v2_grcat_1(k23_grcat_1(A,B)) & m3_grcat_1(k23_grcat_1(A,B),k20_grcat_1(A)))) # label(dt_k23_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10730 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k20_grcat_1(A),A) & m2_relset_1(B,k20_grcat_1(A),A) -> ((all C (m3_grcat_1(C,k20_grcat_1(A)) -> k21_grcat_1(A,C) = k8_funct_2(k20_grcat_1(A),A,B,C))) <-> B = k24_grcat_1(A)))))) # label(d32_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10731 (all A all B all C (v4_rlvect_1(A) & v5_rlvect_1(A) & v5_rlvect_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> v2_grcat_1(g1_grcat_1(A,B,C)) & l1_grcat_1(g1_grcat_1(A,B,C)))) # label(dt_g1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10732 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (l1_rlvect_1(C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_grcat_1(D,B,C) -> (all E (m1_grcat_1(E,A,B) -> m1_grcat_1(k15_grcat_1(D,E),A,C))))))))))) # label(t28_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10733 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (v5_grcat_1(C) & -v1_xboole_0(C) -> (m4_grcat_1(C,A,B) <-> (all D (m3_grcat_1(D,C) -> v2_grcat_1(D) & m1_grcat_1(D,A,B)))))))))) # label(d24_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10734 (all A all B (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) & v4_rlvect_1(A) -> l1_grcat_1(k12_grcat_1(A,B)))) # label(dt_k12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10735 (all A all B (v2_cat_1(A) & l1_cat_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> v1_funct_1(k2_grcat_1(A,B)) & v1_funct_2(k2_grcat_1(A,B),k1_grcat_1(A,B),B) & m2_relset_1(k2_grcat_1(A,B),k1_grcat_1(A,B),B))) # label(dt_k2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10736 (all A (v5_grcat_1(A) <-> (all B (r2_hidden(B,A) -> v2_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(B))))) # label(d23_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10737 (all A all B (m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) & -v1_xboole_0(A) -> k22_grcat_1(A,B) = k10_grcat_1(B))) # label(redefinition_k22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10738 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> k1_funct_2(u1_struct_0(A),u1_struct_0(B)) = k17_grcat_1(A,B))))) # label(d26_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10739 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (m5_grcat_1(C,A,B) <-> (all D (r2_hidden(D,C) -> m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D))))))))) # label(d25_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10740 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_cat_1(k32_grcat_1(A)) & v2_cat_1(k32_grcat_1(A)))) # label(fc15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10741 (all A all B (v4_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all C (m1_grcat_1(C,A,B) -> l1_grcat_1(C) & v3_grcat_1(C))))) # label(dt_m1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10742 (all A (v3_grcat_1(A) & l1_grcat_1(A) -> (exists B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & (exists C (-v3_struct_0(C) & l1_rlvect_1(C) & m1_grcat_1(A,B,C) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C))) & l1_rlvect_1(B) & v4_rlvect_1(B))))) # label(t24_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10743 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k28_grcat_1(A))) -> (all C (m2_grcat_1(C,k19_grcat_1(A)) -> (B = C -> k23_grcat_1(k19_grcat_1(A),C) = k5_cat_1(k28_grcat_1(A),B)))))))) # label(t48_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10744 (all A all B (r2_hidden(A,f1_s1_grcat_1) & r2_hidden(B,f2_s1_grcat_1) & p1_s1_grcat_1(A,B) -> r2_hidden(f4_s1_grcat_1(A,B),f3_s1_grcat_1))) -> (exists A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(f1_s1_grcat_1,f2_s1_grcat_1),f3_s1_grcat_1) & (all B all C (r2_hidden(B,f1_s1_grcat_1) & p1_s1_grcat_1(B,C) & r2_hidden(C,f2_s1_grcat_1) <-> r2_hidden(k4_tarski(B,C),k1_relat_1(A)))) & (all B all C (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s1_grcat_1(B,C))))) # label(s1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10745 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),k7_grcat_1(A),B) = B)))) # label(t11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10746 (all A (l1_grcat_1(A) & v3_grcat_1(A) & v2_grcat_1(A) -> (all B (v2_grcat_1(B) & l1_grcat_1(B) & v3_grcat_1(B) -> (all C (v2_grcat_1(C) & l1_grcat_1(C) & v3_grcat_1(C) -> (k9_grcat_1(B) = k10_grcat_1(A) & k9_grcat_1(C) = k10_grcat_1(B) -> k15_grcat_1(C,k15_grcat_1(B,A)) = k15_grcat_1(k15_grcat_1(C,B),A)))))))) # label(t33_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10747 (all A (m1_subset_1(A,f1_s2_grcat_1) -> (all B (m1_subset_1(B,f2_s2_grcat_1) -> (p1_s2_grcat_1(A,B) -> r2_hidden(f4_s2_grcat_1(A,B),f3_s2_grcat_1)))))) -> (exists A (m2_relset_1(A,k2_zfmisc_1(f1_s2_grcat_1,f2_s2_grcat_1),f3_s2_grcat_1) & (all B (m1_subset_1(B,f1_s2_grcat_1) -> (all C (m1_subset_1(C,f2_s2_grcat_1) -> (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) <-> p1_s2_grcat_1(B,C)))))) & (all B (m1_subset_1(B,f1_s2_grcat_1) -> (all C (m1_subset_1(C,f2_s2_grcat_1) -> (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) -> f4_s2_grcat_1(B,C) = k1_funct_1(A,k4_tarski(B,C))))))) & v1_funct_1(A))) # label(s2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10748 (all A (l1_struct_0(A) -> k7_grcat_1(A) = k6_partfun1(u1_struct_0(A)))) # label(d11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10749 (all A all B (v4_grcat_1(A) & m1_subset_1(B,k20_grcat_1(A)) & -v1_xboole_0(A) -> m2_grcat_1(k22_grcat_1(A,B),A) & v1_rlvect_1(k22_grcat_1(A,B)))) # label(dt_k22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10750 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k1_realset1(u5_cat_1(A),k1_grcat_1(A,B)) = k4_grcat_1(A,B))))) # label(d8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10751 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> m2_relset_1(k27_grcat_1(A),k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) & v1_funct_1(k27_grcat_1(A)))) # label(dt_k27_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10752 (exists A l1_grcat_1(A)) # label(existence_l1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10753 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> m2_relset_1(k26_grcat_1(A),A,k20_grcat_1(A)) & v1_funct_2(k26_grcat_1(A),A,k20_grcat_1(A)) & v1_funct_1(k26_grcat_1(A)))) # label(dt_k26_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10754 $T # label(d4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10755 (all A (v3_grcat_1(A) & l1_grcat_1(A) & v2_grcat_1(A) -> (all B (v2_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(B) -> (k9_grcat_1(B) = k10_grcat_1(A) -> k9_grcat_1(A) = k9_grcat_1(k15_grcat_1(B,A)) & k10_grcat_1(k15_grcat_1(B,A)) = k10_grcat_1(B)))))) # label(t31_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10756 (all A all B (-v3_struct_0(A) & l2_struct_0(B) & -v3_struct_0(B) & l2_struct_0(A) -> m2_relset_1(k8_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(k8_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k8_grcat_1(A,B)))) # label(dt_k8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10757 (all A (v2_grcat_1(A) & l1_grcat_1(A) & v3_grcat_1(A) -> (all B (l1_grcat_1(B) & v3_grcat_1(B) & v2_grcat_1(B) -> -((all C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l1_rlvect_1(C) & v6_rlvect_1(C) -> (all D (v4_rlvect_1(D) & v6_rlvect_1(D) & l1_rlvect_1(D) & v5_rlvect_1(D) & -v3_struct_0(D) -> (all E (v4_rlvect_1(E) & v5_rlvect_1(E) & l1_rlvect_1(E) & v6_rlvect_1(E) & -v3_struct_0(E) -> (all F (v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & m2_relset_1(F,u1_struct_0(C),u1_struct_0(D)) & v1_funct_1(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) & m2_relset_1(G,u1_struct_0(D),u1_struct_0(E)) -> -(B = g1_grcat_1(D,E,G) & g1_grcat_1(C,E,k7_funct_2(u1_struct_0(C),u1_struct_0(D),u1_struct_0(E),F,G)) = k15_grcat_1(B,A) & g1_grcat_1(C,D,F) = A))))))))))) & k9_grcat_1(B) = k10_grcat_1(A)))))) # label(t30_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10758 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> m5_grcat_1(k17_grcat_1(A,B),A,B))) # label(dt_k17_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10759 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_grcat_1(k13_grcat_1(A),A,A))) # label(dt_k13_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10760 (all A (l1_grcat_1(A) -> v1_funct_2(k11_grcat_1(A),u1_struct_0(k9_grcat_1(A)),u1_struct_0(k10_grcat_1(A))) & m2_relset_1(k11_grcat_1(A),u1_struct_0(k9_grcat_1(A)),u1_struct_0(k10_grcat_1(A))) & v1_funct_1(k11_grcat_1(A)))) # label(dt_k11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10761 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k6_grcat_1(k30_grcat_1(A),k31_grcat_1(A)) = k32_grcat_1(A))) # label(d40_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10762 (all A all B (v2_cat_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) -> v1_funct_1(k5_grcat_1(A,B)) & m2_relset_1(k5_grcat_1(A,B),B,k1_grcat_1(A,B)) & v1_funct_2(k5_grcat_1(A,B),B,k1_grcat_1(A,B)))) # label(dt_k5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10763 (all A all B (l1_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(A) & v3_grcat_1(A) -> v2_grcat_1(k15_grcat_1(A,B)) & v3_grcat_1(k15_grcat_1(A,B)) & l1_grcat_1(k15_grcat_1(A,B)))) # label(dt_k15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10764 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A))) -> (C = B -> k2_cat_1(k28_grcat_1(A),B) = k21_grcat_1(k19_grcat_1(A),C) & k3_cat_1(k28_grcat_1(A),B) = k22_grcat_1(k19_grcat_1(A),C)))))))) # label(t49_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10765 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (all B (m3_grcat_1(B,A) <-> m1_subset_1(B,A))))) # label(redefinition_m3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10766 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> (all B (l1_grcat_1(B) & v3_grcat_1(B) -> -((all C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l1_rlvect_1(C) & v6_rlvect_1(C) -> (all D (-v3_struct_0(D) & v4_rlvect_1(D) & l1_rlvect_1(D) & v6_rlvect_1(D) & v5_rlvect_1(D) -> (all E (v5_rlvect_1(E) & l1_rlvect_1(E) & v6_rlvect_1(E) & v4_rlvect_1(E) & -v3_struct_0(E) -> -(m1_grcat_1(B,C,D) & m1_grcat_1(A,D,E)))))))) & k9_grcat_1(A) = k10_grcat_1(B)))))) # label(t26_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10767 (all A all B all C (l1_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_rlvect_1(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all D all E all F (g1_grcat_1(D,E,F) = g1_grcat_1(A,B,C) -> E = B & F = C & D = A)))) # label(free_g1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.97 10768 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m4_grcat_1(C,A,B) -> ((all D (m1_grcat_1(D,A,B) & v2_grcat_1(D) <-> r2_hidden(D,C))) <-> C = k18_grcat_1(A,B)))))))) # label(d27_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10769 (all A (l1_struct_0(A) -> m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k7_grcat_1(A)))) # label(dt_k7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10770 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(k28_grcat_1(A)))) <-> k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)))))))) # label(t46_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10771 (all A (l1_grcat_1(A) -> (v2_grcat_1(A) -> A = g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A))))) # label(abstractness_v2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10772 (all A (l1_grcat_1(A) -> (v3_grcat_1(A) <-> v1_grcat_1(k11_grcat_1(A),k9_grcat_1(A),k10_grcat_1(A))))) # label(d18_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10773 (all A (l1_grcat_1(A) -> -v3_struct_0(k10_grcat_1(A)) & v6_rlvect_1(k10_grcat_1(A)) & l1_rlvect_1(k10_grcat_1(A)) & v5_rlvect_1(k10_grcat_1(A)) & v4_rlvect_1(k10_grcat_1(A)))) # label(dt_k10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10774 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k29_grcat_1(A) = a_1_0_grcat_1(A))) # label(d37_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10775 (all A (l1_grcat_1(A) -> l1_rlvect_1(u1_grcat_1(A)) & v6_rlvect_1(u1_grcat_1(A)) & v5_rlvect_1(u1_grcat_1(A)) & v4_rlvect_1(u1_grcat_1(A)) & -v3_struct_0(u1_grcat_1(A)))) # label(dt_u1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10776 (all A (v3_grcat_1(A) & l1_grcat_1(A) & v2_grcat_1(A) -> (exists B (v5_rlvect_1(B) & l1_rlvect_1(B) & (exists C (-v3_struct_0(C) & v5_rlvect_1(C) & (exists D (v1_funct_1(D) & m1_grcat_1(A,B,C) & g1_grcat_1(B,C,D) = A & v1_grcat_1(D,B,C) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)))) & l1_rlvect_1(C) & v6_rlvect_1(C) & v4_rlvect_1(C))) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B))))) # label(t25_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10777 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (all B (m3_grcat_1(B,A) -> v3_grcat_1(B) & l1_grcat_1(B))))) # label(dt_m3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10778 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (all B (l2_struct_0(B) & -v3_struct_0(B) -> k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) = k8_grcat_1(A,B))))) # label(d12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10779 (all A all B (v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> k14_grcat_1(A,B) = k12_grcat_1(A,B))) # label(redefinition_k14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10780 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k1_grcat_1(A,B),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10781 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) -> (k27_grcat_1(A) = B <-> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (all D (m3_grcat_1(D,k20_grcat_1(A)) -> (k21_grcat_1(A,C) = k22_grcat_1(A,D) <-> r2_hidden(k4_tarski(C,D),k1_relat_1(B))))))) & (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (all D (m3_grcat_1(D,k20_grcat_1(A)) -> (r2_hidden(k4_tarski(C,D),k1_relat_1(B)) -> k15_grcat_1(C,D) = k1_funct_1(B,k4_tarski(C,D)))))))))))) # label(d35_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10782 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k20_grcat_1(A),A) & v1_funct_2(B,k20_grcat_1(A),A) -> ((all C (m3_grcat_1(C,k20_grcat_1(A)) -> k8_funct_2(k20_grcat_1(A),A,B,C) = k22_grcat_1(A,C))) <-> k25_grcat_1(A) = B))))) # label(d33_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10783 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_cat_1(k28_grcat_1(A)) & v2_cat_1(k28_grcat_1(A)))) # label(fc11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10784 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (l1_grcat_1(C) & v2_grcat_1(C) -> (k10_grcat_1(C) = B & v1_grcat_1(k11_grcat_1(C),k9_grcat_1(C),k10_grcat_1(C)) & k9_grcat_1(C) = A -> m1_grcat_1(C,A,B) & v2_grcat_1(C)))))))) # label(t19_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10785 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -v1_xboole_0(k19_grcat_1(A)))) # label(fc8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10786 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) -> (all D (m3_grcat_1(D,k20_grcat_1(k19_grcat_1(A))) -> (all E (m3_grcat_1(E,k20_grcat_1(k19_grcat_1(A))) -> (D = B & C = E -> (k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> k22_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E)) & (r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A)))) -> k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C)) & (k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E) -> k2_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C)) & (k22_grcat_1(k19_grcat_1(A),D) = k22_grcat_1(k19_grcat_1(A),E) -> k3_cat_1(k28_grcat_1(A),B) = k3_cat_1(k28_grcat_1(A),C)) & (k3_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> k22_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D)) & (k2_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C) -> k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E)) & (k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> k4_cat_1(k28_grcat_1(A),B,C) = k15_grcat_1(E,D)) & (k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A))))) & (k22_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E) -> k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C))))))))))))) # label(t50_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10787 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_rlvect_1(A,D,E)) = k2_rlvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)))))) <-> v1_grcat_1(C,A,B)))))))) # label(d13_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10788 (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))) -> g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B),k5_grcat_1(A,B)) = k6_grcat_1(A,B))))) # label(d10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10789 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> -v1_xboole_0(k20_grcat_1(A)) & v5_grcat_1(k20_grcat_1(A)))) # label(dt_k20_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10790 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C m5_grcat_1(C,A,B)))) # label(existence_m5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10791 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> m1_subset_1(k3_mcart_1(B,C,D),A) & m1_subset_1(k4_mcart_1(B,C,D,E),A))))))))))) # label(t3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10792 $T # label(dt_m5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10793 (all A all B (m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) & -v1_xboole_0(A) -> k21_grcat_1(A,B) = k9_grcat_1(B))) # label(redefinition_k21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10794 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & m4_grcat_1(C,A,B) & v4_rlvect_1(A) -> (exists D (m1_subset_1(D,C) & v3_grcat_1(D) & v2_grcat_1(D))))) # label(rc9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10795 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v4_grcat_1(k19_grcat_1(A)) & -v1_xboole_0(k19_grcat_1(A)))) # label(fc9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10796 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> v1_grcat_1(k7_grcat_1(A),A,A))) # label(t21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10797 (all A (l1_grcat_1(A) -> k11_grcat_1(A) = u3_grcat_1(A))) # label(d16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10798 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & l1_cat_1(A) & v2_cat_1(A) -> -v1_xboole_0(k1_grcat_1(A,B)))) # label(fc2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10799 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> g1_grcat_1(A,A,k7_grcat_1(A)) = k13_grcat_1(A))) # label(d20_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10800 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(A) & v5_rlvect_1(A) -> v2_grcat_1(k12_grcat_1(A,B)))) # label(fc4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10801 (all A (-v1_xboole_0(A) & v1_classes2(A) -> a_1_1_grcat_1(A) = k31_grcat_1(A))) # label(d39_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10802 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k3_tarski(a_2_0_grcat_1(A,B)) = k1_grcat_1(A,B))))) # label(d5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10803 (all A (v5_rlvect_1(A) & l1_rlvect_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) & l1_rlvect_1(B) & v6_rlvect_1(B) -> k12_grcat_1(A,B) = g1_grcat_1(A,B,k8_grcat_1(A,B)))))) # label(d17_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10804 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k2_algstr_1,k19_grcat_1(A)))) # label(t42_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10805 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,a_1_1_grcat_1(B)) <-> (exists C (m1_subset_1(C,u1_cat_1(k30_grcat_1(B))) & C = A & (exists D (-v3_struct_0(D) & l1_rlvect_1(D) & D = C & v1_midsp_2(D) & v6_rlvect_1(D) & v5_rlvect_1(D) & v4_rlvect_1(D) & v3_rlvect_1(D)))))))) # label(fraenkel_a_1_1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10806 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (exists B (v2_grcat_1(B) & v3_grcat_1(B) & m1_subset_1(B,A))))) # label(rc7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10807 (all A all B (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (exists C m4_grcat_1(C,A,B)))) # label(existence_m4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10808 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = k5_grcat_1(A,B))))) # label(d9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10809 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k2_algstr_1,k29_grcat_1(A)))) # label(t51_grcat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10810 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v4_group_6(C,A,B) -> v1_funct_1(k2_funct_1(C)) & v1_funct_2(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & v1_group_6(k2_funct_1(C),B,A)))))))) # label(t72_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10811 (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 = a_1_0_group_6(A) -> r1_group_2(A,k9_group_5(A),k5_group_4(A,B))))))) # label(t7_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10812 (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) & v1_group_3(C,A) & m1_group_2(C,A) -> (m1_group_6(C,A,B) -> m1_group_2(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C))))))))) # label(t34_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10813 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> r1_group_2(A,k12_group_6(A,k6_group_6(A,B),k11_group_6(A,B)),B))))) # label(t52_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10814 $T # label(t88_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10815 $T # label(t37_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10816 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) -> (v3_realset2(A) & r2_group_6(A,B) -> v3_realset2(B)))))) # label(t87_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10817 (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) -> k6_group_6(A,B) = k13_group_6(A,k6_group_6(A,B),k11_group_6(A,B)))))) # label(t57_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10818 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (v1_funct_1(F) & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(F,A,B) -> k3_group_5(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),F,k3_group_5(A,C,D,E)))))))))))))) # label(t44_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10819 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C all D (v1_funct_1(D) & v1_group_6(D,B,A) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = C)) <-> r1_rlvect_1(k13_group_6(B,A,D),C)))))))) # label(t54_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10820 (all A all B all C (-v3_struct_0(A) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_3(C,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_6(k2_group_6(A,B,C),A,B) & v1_group_3(k2_group_6(A,B,C),B) & v1_group_1(k2_group_6(A,B,C)))) # label(dt_k2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10821 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> ((exists C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v4_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C))) <-> r1_group_6(A,B)))))) # label(d15_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10822 (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 (v1_group_3(C,A) & m1_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,C))) -> (k12_group_2(A,C,B) = D -> k12_group_2(A,C,k3_group_1(A,B)) = k3_group_1(k6_group_6(A,C),D)))))))))) # label(t30_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10823 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> v1_group_1(k6_group_2(A)) & v4_group_1(k6_group_2(A)) & v1_group_3(k6_group_2(A),A) & v3_group_1(k6_group_2(A)) & v2_group_1(k6_group_2(A)) & -v3_struct_0(k6_group_2(A)))) # label(fc2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10824 $T # label(t76_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10825 (all A all B (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) & v1_group_1(A) & -v3_struct_0(A) -> (r2_group_6(A,B) <-> r1_group_6(A,B)))) # label(redefinition_r2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10826 (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))) -> (all D (m1_group_2(D,A) & v1_group_3(D,A) -> (r2_hidden(C,k4_group_6(A,D)) & r2_hidden(B,k4_group_6(A,D)) -> r2_hidden(k2_group_2(A,B,C),k4_group_6(A,D))))))))))) # label(t18_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10827 (all A all B all C (v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v3_group_1(A) & -v3_struct_0(A) -> k2_relat_1(C) = k9_group_6(A,B,C))) # label(redefinition_k9_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10828 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & v1_group_3(B,A) & l1_group_1(A) & v3_group_1(A) -> v1_group_3(k3_group_6(A,B,C),C) & m1_group_6(k3_group_6(A,B,C),A,C) & v1_group_1(k3_group_6(A,B,C)))) # label(dt_k3_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10829 (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) -> (v1_finset_1(k14_group_2(A,B)) -> v6_group_1(k6_group_6(A,B))))))) # label(t31_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10830 (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 (-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(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,k6_group_1(B,A,D)) = k6_group_1(C,A,k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)))))))))))) # label(t46_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10831 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> r2_group_6(A,k6_group_6(A,k5_group_2(A))))) # label(t82_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10832 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & v3_group_1(A) -> -v1_xboole_0(k4_group_6(A,B)))) # label(fc3_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10833 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (v1_group_1(D) & m1_group_2(D,B) -> (u1_struct_0(D) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(A)) <-> k13_group_6(A,B,C) = D))))))))) # label(d11_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10834 (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) & v1_group_3(C,A) & m1_group_2(C,A) -> r2_group_6(k6_group_6(k8_group_4(A,B,C),k1_group_6(A,k8_group_4(A,B,C),C)),k6_group_6(B,k2_group_6(A,B,C))))))))) # label(t93_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10835 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_group_6(C,A,B) & v3_group_6(C,A,B) <-> v4_group_6(C,A,B)))))))) # label(d14_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10836 (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) -> v3_group_6(k11_group_6(A,B),A,k6_group_6(A,B)))))) # label(t69_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10837 $T # label(t39_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10838 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) -> (v3_group_6(C,A,B) <-> k13_group_6(A,B,C) = B))))))) # label(t67_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10839 (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_group_3(C,A) & m1_group_2(C,A) -> m1_subset_1(k13_group_2(A,C,B),u1_struct_0(k6_group_6(A,C))) & m1_subset_1(k7_group_2(A,C),u1_struct_0(k6_group_6(A,C))) & m1_subset_1(k12_group_2(A,C,B),u1_struct_0(k6_group_6(A,C))))))))) # label(t27_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10840 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (r1_group_6(A,B) & v6_group_1(A) -> v6_group_1(B)))))) # label(t85_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10841 (all A all B all C (v4_group_1(A) & l1_group_1(A) & v1_group_3(B,A) & m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) & m1_group_2(B,A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k7_group_6(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10842 (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 (-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(B)) -> (all E (v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v1_funct_1(E) -> k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,k6_group_1(B,A,D)) = k6_group_1(C,A,k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)))))))))))) # label(t45_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10843 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B all C (v1_group_3(C,A) & m1_group_2(C,A) -> (r1_rlvect_1(k6_group_6(A,C),B) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & B = k12_group_2(A,C,D) & B = k13_group_2(A,C,D)))))))) # label(t28_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10844 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_group_1(B) -> k12_group_6(A,B,k10_group_6(A,B)) = A)))) # label(t51_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10845 (all A all B all C all D all E (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & -v3_struct_0(C) & l1_group_1(C) & v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_1(E) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v4_group_1(C) & v3_group_1(C) & l1_group_1(B) -> k8_group_6(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k8_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10846 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (r2_group_6(A,B) -> k8_group_1(B) = k8_group_1(A)))))) # label(t84_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10847 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k16_group_2(A,B) = k8_group_1(k6_group_6(A,B)))))) # label(t32_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10848 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) -> (v4_group_6(C,A,B) <-> v2_funct_1(C) & u1_struct_0(B) = k9_group_6(A,B,C)))))))) # label(t70_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10849 (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) -> (all C (m1_group_6(C,A,B) <-> m1_group_2(C,B))))) # label(redefinition_m1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10850 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> k9_group_6(A,B,C) = u1_struct_0(k13_group_6(A,B,C)))))))) # label(t53_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10851 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(E,A,B) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) -> k2_group_5(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_group_5(A,C,D)))))))))))) # label(t43_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10852 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v3_group_1(B) & v3_group_1(A) -> m1_group_2(k12_group_6(A,B,C),A) & v1_group_1(k12_group_6(A,B,C)))) # label(dt_k12_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10853 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> (v3_group_1(B) & v7_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> v7_group_1(k13_group_6(B,A,C))))))))) # label(t60_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10854 $T # label(t5_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10855 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> r2_hidden(k13_group_2(A,C,B),k4_group_6(A,C)) & r2_hidden(k12_group_2(A,C,B),k4_group_6(A,C)))))))) # label(t16_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10856 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (all D (m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(D,B,A) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) -> (all E (v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(C)) & v1_group_6(E,A,C) & v1_funct_1(E) -> v1_funct_1(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E)) & m2_relset_1(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),u1_struct_0(B),u1_struct_0(C)) & v1_group_6(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),B,C) & v1_funct_2(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),u1_struct_0(B),u1_struct_0(C)))))))))))) # label(t48_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10857 (all A all B all C (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(B) & v4_group_1(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & -v3_struct_0(B) & -v3_struct_0(A) -> v3_group_1(k12_group_6(A,B,C)) & v1_group_3(k12_group_6(A,B,C),A) & v4_group_1(k12_group_6(A,B,C)) & v2_group_1(k12_group_6(A,B,C)) & v1_group_1(k12_group_6(A,B,C)) & -v3_struct_0(k12_group_6(A,B,C)))) # label(fc6_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10858 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) & r1_group_6(A,B) -> -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v7_group_1(B) & v4_group_1(B)))))) # label(t89_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10859 (all A all B (m1_group_2(B,A) & v1_group_3(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v2_group_1(k6_group_6(A,B)) & v3_group_1(k6_group_6(A,B)) & v4_group_1(k6_group_6(A,B)) & v1_group_1(k6_group_6(A,B)) & -v3_struct_0(k6_group_6(A,B)))) # label(fc5_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10860 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_group_1(A)) = k2_group_1(B))))))) # label(t40_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10861 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k4_group_6(A,B) = u1_struct_0(k6_group_6(A,B)))))) # label(t22_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10862 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) & v1_group_3(B,A) -> (-v3_struct_0(k6_group_6(A,B)) & v4_group_1(k6_group_6(A,B)) & l1_group_1(k6_group_6(A,B)) & v7_group_1(k6_group_6(A,B)) & v3_group_1(k6_group_6(A,B)) <-> m1_group_6(k9_group_5(A),A,B)))))) # label(t36_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10863 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_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_group_6(C,B,A) & v1_funct_1(C) -> (v6_group_1(B) -> r1_xreal_0(k9_group_1(k13_group_6(B,A,C)),k9_group_1(B))))))))) # label(t62_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10864 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(C) -> (r1_group_6(B,C) & r1_group_6(A,B) -> r1_group_6(A,C)))))))) # label(t78_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10865 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v4_group_6(k11_group_6(A,k5_group_2(A)),A,k6_group_6(A,k5_group_2(A))))) # label(t75_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10866 $T # label(t38_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10867 (all A all B all C (v3_group_1(A) & v4_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & m1_group_2(C,A) & l1_group_1(A) & -v3_struct_0(A) -> k3_group_6(A,B,C) = k8_group_2(A,B,C))) # label(redefinition_k3_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10868 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v3_realset2(k6_group_6(A,k6_group_2(A))))) # label(t83_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10869 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v1_group_3(C,A) & l1_group_1(A) & v4_group_1(A) -> k8_group_2(A,B,C) = k2_group_6(A,B,C))) # label(redefinition_k2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10870 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,B))) -> k2_group_2(A,k7_group_6(A,B,C),k7_group_6(A,B,D)) = k1_group_1(k6_group_6(A,B),C,D))))))))) # label(t24_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10871 (exists A (l1_group_1(A) & -v3_struct_0(A) & v2_group_1(A) & v4_group_1(A) & v3_realset2(A) & v3_group_1(A))) # label(rc1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10872 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> m2_relset_1(C,u1_struct_0(B),u1_struct_0(k13_group_6(B,A,C))) & v1_group_6(C,B,k13_group_6(B,A,C)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k13_group_6(B,A,C))) & v1_funct_1(C))))))) # label(t58_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10873 (all A all B (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v4_group_1(A) -> (all C (m1_group_6(C,A,B) -> m1_group_2(C,A))))) # label(dt_m1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10874 (all A all B all C (l1_group_1(A) & v4_group_1(B) & l1_group_1(B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & v3_group_1(B) & -v3_struct_0(B) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k9_group_6(A,B,C),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k9_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10875 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_group_2(D,A) & v1_group_1(D) -> (k12_group_6(A,B,C) = D <-> u1_struct_0(D) = a_3_0_group_6(A,B,C)))))))))) # label(d10_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10876 (all A all B (-v3_struct_0(A) & m1_group_2(B,A) & v1_group_3(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m2_relset_1(k5_group_6(A,B),k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_2(k5_group_6(A,B),k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_1(k5_group_6(A,B)))) # label(dt_k5_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10877 (all A all B (v4_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> l1_group_1(k6_group_6(A,B)))) # label(dt_k6_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10878 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B all C (m1_group_2(C,A) & v1_group_3(C,A) -> (r2_hidden(B,k4_group_6(A,C)) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t17_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10879 (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) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_group_6(C,A,k6_group_6(A,B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k12_group_2(A,B,D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k6_group_6(A,B)),C,D))) <-> C = k11_group_6(A,B)))))))) # label(d9_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10880 (all A all B all C all D all E (v4_group_1(A) & l1_group_1(A) & v4_group_1(B) & -v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & v1_group_6(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(E) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & l1_group_1(C) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & v3_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k8_group_6(A,B,C,D,E)) & v1_group_6(k8_group_6(A,B,C,D,E),A,C) & m2_relset_1(k8_group_6(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(k8_group_6(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)))) # label(dt_k8_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10881 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_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_group_6(C,B,A) & v1_funct_1(C) -> (v2_group_6(C,B,A) -> v1_funct_1(k2_funct_1(C)) & v1_funct_2(k2_funct_1(C),u1_struct_0(k13_group_6(B,A,C)),u1_struct_0(B)) & v1_group_6(k2_funct_1(C),k13_group_6(B,A,C),B) & m2_relset_1(k2_funct_1(C),u1_struct_0(k13_group_6(B,A,C)),u1_struct_0(B))))))))) # label(t65_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10882 (all A (l1_struct_0(A) & -v3_struct_0(A) -> ((exists B u1_struct_0(A) = k1_tarski(B)) <-> v3_realset2(A)))) # label(d2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10883 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) -> k3_group_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,k3_group_1(A,C)))))))))) # label(t41_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10884 (all A all B (-v3_struct_0(A) & l1_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & v4_group_1(A) & v3_group_1(A) -> v1_funct_1(k11_group_6(A,B)) & v1_group_6(k11_group_6(A,B),A,k6_group_6(A,B)) & m2_relset_1(k11_group_6(A,B),u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_funct_2(k11_group_6(A,B),u1_struct_0(A),u1_struct_0(k6_group_6(A,B))))) # label(dt_k11_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10885 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> (m1_group_6(g1_group_1(u1_struct_0(C),u1_group_1(C)),A,B) -> k1_group_6(A,B,C) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(d1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10886 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v3_realset2(k5_group_2(A)))) # label(t11_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10887 $T # label(t19_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.98 10888 (all A all B (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & v3_group_1(A) -> r2_group_6(A,A))) # label(reflexivity_r2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10889 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> r2_group_6(k5_group_2(A),k5_group_2(B)))))) # label(t81_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10890 (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_3(C,A) & m1_group_2(C,A) -> m1_group_6(k9_group_2(A,C,B),A,B) & v1_group_3(k9_group_2(A,C,B),B) & m1_group_6(k9_group_2(A,B,C),A,B) & v1_group_3(k9_group_2(A,B,C),B))))))) # label(t10_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10891 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k12_group_2(A,B,C) = k3_group_2(A,C,k7_group_4(A,B,B)) & k11_group_2(A,B,k13_group_2(A,B,C)) = k13_group_2(A,B,C) & k4_group_2(A,C,k7_group_4(A,B,B)) = k13_group_2(A,B,C) & k10_group_2(A,B,k12_group_2(A,B,C)) = k12_group_2(A,B,C))))))) # label(t6_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10892 (all A all B all C (-v3_struct_0(A) & l1_group_1(B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_2(k13_group_6(A,B,C),B) & v1_group_1(k13_group_6(A,B,C)))) # label(dt_k13_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10893 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) -> (v4_group_6(D,A,B) & v4_group_6(E,B,C) -> v4_group_6(k8_group_6(A,B,C,D,E),A,C)))))))))))) # label(t74_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10894 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C) -> (v4_group_6(C,A,B) -> u1_struct_0(B) = k9_group_6(A,B,C) & u1_struct_0(A) = k1_relat_1(C)))))))) # label(t71_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10895 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k4_group_6(A,B) = k14_group_2(A,B) & k4_group_6(A,B) = k15_group_2(A,B))))) # label(t14_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10896 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_2(C,k2_zfmisc_1(k4_group_6(A,B),k4_group_6(A,B)),k4_group_6(A,B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k4_group_6(A,B)) -> (all E (m1_subset_1(E,k4_group_6(A,B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (all G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(A))) -> (E = G & D = F -> k2_group_2(A,F,G) = k2_binop_1(k4_group_6(A,B),k4_group_6(A,B),k4_group_6(A,B),C,D,E)))))))))) <-> k5_group_6(A,B) = C))))))) # label(d4_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10897 $T # label(t21_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10898 (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) & v1_group_3(C,A) -> (m1_group_6(C,A,B) -> m1_group_6(C,A,B) & v1_group_3(C,B)))))))) # label(t9_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10899 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (exists D (v1_funct_1(D) & v1_group_6(D,k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C)) & m2_relset_1(D,u1_struct_0(k6_group_6(B,k12_group_6(B,A,C))),u1_struct_0(k13_group_6(B,A,C))) & v4_group_6(D,k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C)) & C = k8_group_6(B,k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C),k11_group_6(B,k12_group_6(B,A,C)),D) & v1_funct_2(D,u1_struct_0(k6_group_6(B,k12_group_6(B,A,C))),u1_struct_0(k13_group_6(B,A,C))))))))))) # label(t91_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10900 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (k10_group_6(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_1(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)))))))))) # label(d8_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10901 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (m1_group_6(k9_group_5(A),A,B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_rlvect_1(B,k2_group_5(A,C,D))))))))))) # label(t8_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10902 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (v3_realset2(B) & v3_realset2(A) -> r2_group_6(A,B)))))) # label(t80_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10903 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_group_6(D,A,B) & 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) -> (r1_rlvect_1(k12_group_6(A,B,D),C) <-> k2_group_1(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C)))))))))) # label(t50_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10904 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & C = k12_group_2(A,B,D) & C = k13_group_2(A,B,D))))))))) # label(t26_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10905 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C) -> (k9_group_6(A,B,C) = u1_struct_0(B) <-> v3_group_6(C,A,B)))))))) # label(d13_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10906 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) & l1_group_1(A) -> v1_group_1(k6_group_6(A,B)) & -v3_struct_0(k6_group_6(A,B)))) # label(fc4_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10907 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> r1_tarski(k8_group_1(k13_group_6(B,A,C)),k8_group_1(B)))))))) # label(t61_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10908 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> g1_group_1(k4_group_6(A,B),k5_group_6(A,B)) = k6_group_6(A,B))))) # label(d5_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10909 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) & v3_group_1(A) -> (exists C (v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) & -v1_xboole_0(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))))) # label(rc2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10910 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (v2_group_6(C,B,A) <-> r1_group_2(B,k12_group_6(B,A,C),k5_group_2(B))))))))) # label(t66_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10911 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> (all D (v1_group_3(D,k6_group_6(A,C)) & m1_group_2(D,k6_group_6(A,C)) & v1_group_1(D) -> (D = k6_group_6(B,k1_group_6(A,B,C)) & m1_group_6(C,A,B) -> r2_group_6(k6_group_6(k6_group_6(A,C),D),k6_group_6(A,B))))))))))) # label(t92_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10912 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> (m1_group_6(C,A,B) -> m1_group_2(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C)) & v1_group_3(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C))))))))) # label(t35_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10913 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> r1_group_2(B,k13_group_6(A,B,C),k5_group_4(B,k9_group_6(A,B,C))))))))) # label(t55_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10914 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (v3_realset2(A) -> k5_group_2(A) = A))) # label(t13_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10915 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> ((exists C exists D (m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & k2_group_5(B,C,D) = A)) <-> r2_hidden(A,a_1_0_group_6(B))))) # label(fraenkel_a_1_0_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10916 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_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(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(E,A,B) -> k2_group_3(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_group_3(A,C,D)))))))))))) # label(t42_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10917 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k2_group_1(k6_group_6(A,B)) = k7_group_2(A,B))))) # label(t29_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10918 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> v1_group_1(k5_group_2(A)) & v2_group_1(k5_group_2(A)) & v3_group_1(k5_group_2(A)) & v4_group_1(k5_group_2(A)) & v1_group_3(k5_group_2(A),A) & -v3_struct_0(k5_group_2(A)))) # label(fc1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10919 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_group_6(C,A,B) <-> v2_funct_1(C)))))))) # label(d12_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10920 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_6(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (E = C -> k12_group_2(B,D,E) = k12_group_2(A,D,C) & k13_group_2(B,D,E) = k13_group_2(A,D,C)))))))))))) # label(t2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10921 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (v1_group_6(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_group_1(A,D,E)) = k1_group_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E))))))))))))) # label(d7_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10922 $T # label(t20_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10923 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) -> (r1_rlvect_1(k13_group_6(A,B,D),C) & v2_group_6(D,A,B) -> k1_funct_1(D,k1_funct_1(k2_funct_1(D),C)) = C))))))))) # label(t63_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10924 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (v2_group_6(D,A,B) -> C = k1_funct_1(k2_funct_1(D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C))))))))))) # label(t64_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10925 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) -> (v6_group_1(B) -> v6_group_1(k13_group_6(B,A,C))))))))) # label(t59_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10926 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> r2_group_6(k6_group_6(B,k12_group_6(B,A,C)),k13_group_6(B,A,C)))))))) # label(t90_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10927 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B all C (v1_group_3(C,A) & m1_group_2(C,A) -> -(r2_hidden(B,k4_group_6(A,C)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k12_group_2(A,C,D) = B & B = k13_group_2(A,C,D))))))))) # label(t15_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10928 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_6(k6_partfun1(u1_struct_0(A)),A,A) & m2_relset_1(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k6_partfun1(u1_struct_0(A))))) # label(t47_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10929 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_group_6(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (exists E (m1_subset_1(E,u1_struct_0(A)) & k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = D))))))))))) # label(t68_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10930 (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_6(C,A,B) -> (all D (m1_group_6(D,A,B) -> k9_group_2(B,C,D) = k9_group_2(A,C,D))))))))) # label(t3_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10931 (all A all B (v3_group_1(A) & v4_group_1(A) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & -v3_struct_0(A) -> r1_group_6(A,A))) # label(reflexivity_r1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10932 $T # label(dt_k4_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10933 (all A all B (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & v3_group_1(A) -> v1_funct_1(k10_group_6(A,B)) & m2_relset_1(k10_group_6(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_group_6(k10_group_6(A,B),A,B) & v1_funct_2(k10_group_6(A,B),u1_struct_0(A),u1_struct_0(B)))) # label(dt_k10_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10934 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> r1_group_2(B,k13_group_6(A,B,k10_group_6(A,B)),k5_group_2(B)))))) # label(t56_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10935 (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) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> C = k7_group_6(A,B,C))))))) # label(d6_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10936 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) -> (D = k2_funct_1(C) & v4_group_6(C,B,A) -> v4_group_6(D,A,B)))))))))) # label(t73_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10937 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) & l1_group_1(A) & -v3_struct_0(A) -> v1_group_1(k1_group_6(A,B,C)) & v1_group_3(k1_group_6(A,B,C),B) & m1_group_6(k1_group_6(A,B,C),A,B))) # label(dt_k1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10938 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> (v2_group_6(C,B,A) -> r1_group_6(B,k13_group_6(B,A,C))))))))) # label(t79_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10939 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k8_funct_2(A,B,C,D) = k8_funct_2(A,B,C,E) -> E = D))))) <-> v2_funct_1(C)))))))) # label(t1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10940 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k4_group_6(A,B) = k14_group_2(A,B))))) # label(d3_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10941 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) -> k8_group_6(A,B,C,D,k10_group_6(B,C)) = k10_group_6(A,C) & k8_group_6(A,B,C,k10_group_6(A,B),E) = k10_group_6(A,C))))))))))) # label(t49_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10942 (all A all B (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & -v3_struct_0(B) & v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & l1_group_1(A) & -v3_struct_0(A) -> (r2_group_6(A,B) -> r2_group_6(B,A)))) # label(symmetry_r2_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10943 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,C,k3_group_1(A,B)) = k1_group_1(A,k1_group_1(A,B,C),k3_group_1(A,B)) & k2_group_3(A,C,k3_group_1(A,B)) = k1_group_1(A,B,k1_group_1(A,C,k3_group_1(A,B))))))))) # label(t4_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10944 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k5_group_6(A,B) = u1_group_1(k6_group_6(A,B)))))) # label(t23_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10945 (all A all B (m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists C m1_group_6(C,A,B)))) # label(existence_m1_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10946 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (v6_group_1(A) & r2_group_6(A,B) -> k9_group_1(A) = k9_group_1(B)))))) # label(t86_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10947 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (v6_group_1(A) & k9_group_1(A) = np__1 <-> v3_realset2(A)))) # label(t12_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10948 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_group_1(B) -> (r1_group_6(A,B) -> r1_group_6(B,A)))))) # label(t77_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10949 (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_finset_1(k14_group_2(A,B)) -> k9_group_1(k6_group_6(A,B)) = k17_group_2(A,B)))))) # label(t33_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10950 (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) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,B))) -> k7_group_6(A,B,k1_group_1(k6_group_6(A,B),C,D)) = k2_group_2(A,k7_group_6(A,B,C),k7_group_6(A,B,D)))))))))) # label(t25_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10951 (all A all B all C all D (-v3_struct_0(B) & l1_group_1(B) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,B,C) & v1_funct_1(D) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) & -v3_struct_0(C) & v4_group_1(B) & v3_group_1(B) -> ((exists E (k2_group_1(C) = k8_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) & A = E & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_group_6(B,C,D))))) # label(fraenkel_a_3_0_group_6) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10952 (all A (l1_metric_1(A) -> (v2_compts_1(k5_pcomps_1(A)) <-> v2_topmetr(A)))) # label(d6_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10953 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_pre_topc(B,C)))))))) # label(t4_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10954 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (v1_funct_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_2(E,u1_struct_0(k3_pre_topc(A,C)),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(k3_pre_topc(A,C)),u1_struct_0(B)) & v1_funct_1(E) -> (E = k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C) & v5_pre_topc(D,A,B) -> v5_pre_topc(E,k3_pre_topc(A,C),B)))))))))))) # label(t10_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10955 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) <-> r1_tarski(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B))))))) # label(t1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10956 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> u1_struct_0(k4_topmetr(A,B)) = k1_rcomp_1(A,B)))))) # label(t25_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10957 (all A (v6_metric_1(A) & v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_topmetr(B,A) & r1_topmetr(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_topmetr(A,C))))))) <-> v2_topmetr(A)))) # label(t23_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10958 (all A (m1_subset_1(A,u1_struct_0(k8_metric_1)) -> (all B (m1_subset_1(B,u1_struct_0(k8_metric_1)) -> (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> (C = A & B = D -> k4_metric_1(k8_metric_1,A,B) = k18_complex1(k6_xcmplx_0(C,D))))))))))) # label(t15_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10959 (all A (l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> (exists B (v1_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) & v6_metric_1(B) & -v3_struct_0(B) & m1_topmetr(B,A))))) # label(rc2_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10960 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all 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) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v5_pre_topc(C,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k3_pre_topc(B,D))) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(k3_pre_topc(B,D))) -> (C = E -> v5_pre_topc(E,A,k3_pre_topc(B,D)))))))))))))) # label(t9_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10961 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & v9_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(B)))) -> (k9_metric_1(B,C,A) = D -> v3_pre_topc(D,k5_pcomps_1(B))))))))))) # label(t21_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10962 (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 (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> (all D (m1_connsp_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,C))) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,C)))) -> (B = E & F = k5_subset_1(u1_struct_0(A),D,C) -> m1_connsp_2(F,k3_pre_topc(A,C),E))))))))))))))) # label(t6_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10963 (all A (v6_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v7_metric_1(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_topmetr(C,A) & v1_metric_1(C) -> (C = k1_topmetr(A,B) <-> B = u1_struct_0(C)))))))) # label(d2_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10964 (all A (v6_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) -> (exists B (v1_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) & v6_metric_1(B) & m1_topmetr(B,A))))) # label(rc1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10965 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t2_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10966 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) -> (C = k1_rcomp_1(A,B) -> k3_pre_topc(k3_topmetr,C) = k4_topmetr(A,B))))))))) # label(t26_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10967 (all A all B (-v3_struct_0(A) & v7_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v8_metric_1(A) & v6_metric_1(A) -> v1_metric_1(k1_topmetr(A,B)) & v9_metric_1(k1_topmetr(A,B)) & v8_metric_1(k1_topmetr(A,B)) & v7_metric_1(k1_topmetr(A,B)) & v6_metric_1(k1_topmetr(A,B)) & -v3_struct_0(k1_topmetr(A,B)))) # label(fc1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10968 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> (all C (-v3_struct_0(C) & v1_metric_1(C) & m1_topmetr(C,k8_metric_1) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k8_metric_1))) & -v1_xboole_0(D) -> (D = k1_rcomp_1(A,B) -> C = k1_topmetr(k8_metric_1,D)))) <-> C = k2_topmetr(A,B))))))))) # label(d3_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10969 (all A (v6_metric_1(A) & v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(A)))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & r1_tarski(k9_metric_1(A,C,D),B)))) & r2_hidden(C,B)))) <-> v3_pre_topc(B,k5_pcomps_1(A))))))) # label(t22_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10970 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> u1_struct_0(k2_topmetr(A,B)) = k1_rcomp_1(A,B)))))) # label(t14_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10971 (all A all B all C (m1_relset_1(B,A,u1_struct_0(k3_topmetr)) & v1_funct_1(B) -> v1_xcmplx_0(k1_funct_1(B,C)) & v1_xreal_0(k1_funct_1(B,C)))) # label(fc3_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10972 (all A (-v3_struct_0(A) & v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> (all B (-v3_struct_0(B) & m1_topmetr(B,A) -> m1_pre_topc(k5_pcomps_1(B),k5_pcomps_1(A)))))) # label(t19_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10973 (all A all B (v6_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v7_metric_1(A) & -v3_struct_0(A) -> v1_metric_1(k1_topmetr(A,B)) & m1_topmetr(k1_topmetr(A,B),A))) # label(dt_k1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10974 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_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_pre_topc(D,B) -> (v5_pre_topc(C,A,B) -> (all E (v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(D)) & v1_funct_1(E) -> (E = C -> v5_pre_topc(E,A,D))))))))))))) # label(t8_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10975 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_topmetr(A,B) <-> r1_tarski(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B))))))) # label(d5_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10976 $T # label(t17_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10977 (all A (l1_metric_1(A) -> u1_struct_0(A) = u1_struct_0(k5_pcomps_1(A)) & k4_pcomps_1(A) = u1_pre_topc(k5_pcomps_1(A)))) # label(t16_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10978 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (l1_pre_topc(C) & v2_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) -> (v5_pre_topc(D,A,C) & m1_pre_topc(C,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) -> (E = D -> v5_pre_topc(E,A,B))))))))))))) # label(t7_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10979 (all A (v1_funct_1(A) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & m2_relset_1(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) -> ((exists B ((exists C ((all D (m1_subset_1(D,k1_numbers) -> k3_real_1(k4_real_1(B,D),C) = k1_funct_1(A,D))) & m1_subset_1(C,k1_numbers))) & m1_subset_1(B,k1_numbers))) -> v5_pre_topc(A,k3_topmetr,k3_topmetr)))) # label(t28_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10980 (all A (v7_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v6_metric_1(A) -> (all B (m1_topmetr(B,A) -> v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B))))) # label(dt_m1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10981 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (v3_compts_1(A) -> v3_compts_1(B)))))) # label(t3_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10982 (all A (v6_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_topmetr(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t12_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10983 $T # label(t18_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10984 (all A (v6_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) -> (all B (v7_metric_1(B) & v8_metric_1(B) & l1_metric_1(B) & v9_metric_1(B) & v6_metric_1(B) -> (m1_topmetr(B,A) <-> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_metric_1(u1_struct_0(B),u1_struct_0(B),u1_metric_1(B),C,D) = k1_binop_1(u1_metric_1(A),C,D)))))))))) # label(d1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10985 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) -> (C = B -> k5_pcomps_1(k1_topmetr(k14_euclid(A),C)) = k3_pre_topc(k15_euclid(A),B)))))))) # label(t20_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10986 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> k5_pcomps_1(k2_topmetr(A,B)) = k4_topmetr(A,B))))) # label(d8_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10987 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> -v3_struct_0(k2_topmetr(A,B)) & m1_topmetr(k2_topmetr(A,B),k8_metric_1) & v1_metric_1(k2_topmetr(A,B)))) # label(dt_k2_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10988 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> -v3_struct_0(k4_topmetr(A,B)) & v1_pre_topc(k4_topmetr(A,B)) & m1_pre_topc(k4_topmetr(A,B),k3_topmetr))) # label(dt_k4_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10989 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) & v6_metric_1(B) -> (all C (m1_topmetr(C,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (E = D -> k3_xboole_0(k9_metric_1(B,D,A),u1_struct_0(C)) = k9_metric_1(C,E,A)))))))))))) # label(t13_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10990 (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))) -> m1_pre_topc(k3_pre_topc(A,C),k3_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))) & m1_pre_topc(k3_pre_topc(A,B),k3_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))))))))) # label(t5_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10991 $T # label(t11_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10992 (all A (v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> (exists B m1_topmetr(B,A)))) # label(existence_m1_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10993 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C -(r2_hidden(C,B) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,k1_numbers) -> C != k9_metric_1(A,D,E))))))) <-> v1_topmetr(B,A)))))) # label(d4_topmetr) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10994 (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) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & -v3_struct_0(A) & v6_group_1(A) -> -v3_struct_0(B) & v1_gr_cy_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B)))))) # label(t44_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10995 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> v4_group_1(g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A))) & v3_group_1(g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A)))))) # label(t34_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10996 $T # label(t16_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10997 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> k2_xcmplx_0(A,B) = k1_binop_1(k44_binop_2,A,B))))) # label(t14_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10998 $T # label(t4_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 10999 (all A (m1_finseq_1(A,k4_numbers) -> v1_int_1(k2_gr_cy_1(A)))) # label(dt_k2_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11000 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v3_group_1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k6_group_1(A,D,B) = C & v1_int_1(D)))))))))) # label(t41_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11001 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> (all B (v1_int_1(B) -> (A = np__1 -> B = k6_group_1(k3_gr_cy_1,B,A)))))) # label(t39_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11002 (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)) -> (v6_group_1(A) -> k7_group_1(A,B) = k9_group_1(k5_group_4(A,k1_struct_0(A,B)))))))) # label(t27_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11003 (all A (v4_ordinal2(A) -> v1_group_1(k5_gr_cy_1(A)) & v3_group_1(k5_gr_cy_1(A)) & l1_group_1(k5_gr_cy_1(A)) & v4_group_1(k5_gr_cy_1(A)) & -v3_struct_0(k5_gr_cy_1(A)))) # label(dt_k5_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11004 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> k4_xcmplx_0(k6_gr_cy_1(A)) = k3_group_1(k3_gr_cy_1,A))) # label(t37_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11005 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (v1_int_2(A) & A = k9_group_1(B) & v6_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,B) -> r1_group_2(B,C,k5_group_2(B)) | B = C))))))) # label(t32_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11006 (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)) -> ((exists D (v1_int_1(D) & B = k6_group_1(A,D,C))) <-> r1_rlvect_1(k5_group_4(A,k1_struct_0(A,C)),B)))))))) # label(t25_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11007 $T # label(t17_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11008 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> (A = np__1 -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> B = k6_group_1(k3_gr_cy_1,B,A)))))) # label(t38_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11009 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> k6_gr_cy_1(A) = A)) # label(d7_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11010 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> k1_gr_cy_1(A) = a_1_0_gr_cy_1(A)))) # label(d1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11011 $T # label(t9_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11012 $T # label(t1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11013 $T # label(t3_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11014 (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)) -> -(v6_group_1(A) & v5_group_1(B,A)))))) # label(t26_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11015 (all A (m2_finseq_1(A,k4_numbers) -> k2_gr_cy_1(A) = k2_finsop_1(k4_numbers,A,k44_binop_2))) # label(d3_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11016 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> r2_hidden(np__0,k1_gr_cy_1(A))))) # label(t12_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11017 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (v6_group_1(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & k6_group_1(A,D,B) = C)))) & m1_subset_1(B,u1_struct_0(A)))) <-> -v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A))))) # label(t42_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11018 $T # label(t5_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11019 (all A (m1_subset_1(A,k4_numbers) -> A = k2_gr_cy_1(k12_finseq_1(k4_numbers,A)))) # label(t21_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11020 $T # label(t47_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11021 (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)) -> (v6_group_1(A) -> r1_nat_1(k7_group_1(A,B),k9_group_1(A))))))) # label(t28_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11022 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(A,np__0) -> (r2_hidden(B,k1_gr_cy_1(A)) <-> -r1_xreal_0(A,B))))))) # label(t10_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11023 $T # label(t7_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11024 (all A (m1_subset_1(A,k4_numbers) -> (all B (m2_finseq_1(B,k4_numbers) -> k2_xcmplx_0(k2_gr_cy_1(B),k2_group_4(A)) = k2_gr_cy_1(k8_finseq_1(k4_numbers,B,k12_finseq_1(k4_numbers,A))))))) # label(t20_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11025 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (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)) -> (v6_group_1(B) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k10_binop_2(k9_group_1(B),k4_nat_1(A,k9_group_1(B))),C)))))))) # label(t30_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11026 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & k5_group_4(A,k1_struct_0(A,B)) = g1_group_1(u1_struct_0(A),u1_group_1(A)))) <-> v1_gr_cy_1(A)))) # label(d9_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11027 $T # label(t18_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11028 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -((all B (m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> (exists C (m1_subset_1(C,u1_struct_0(k5_gr_cy_1(A))) & (all D (v1_int_1(D) -> C != k6_group_1(k5_gr_cy_1(A),D,B))))))) & -r1_xreal_0(A,np__0)))) # label(t46_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11029 $T # label(t6_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11030 $T # label(t19_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/145.99 11031 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> r1_tarski(k1_gr_cy_1(A),k1_gr_cy_1(B)) | r1_xreal_0(A,np__0)))))) # label(t51_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11032 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,k4_numbers) -> k6_group_1(A,k2_gr_cy_1(C),B) = k3_group_4(A,k4_group_4(A,C,k1_finsop_1(u1_struct_0(A),k3_finseq_1(C),B))))))))) # label(t24_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11033 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> k2_group_1(k5_gr_cy_1(A)) = np__0))) # label(t36_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11034 (all A (v1_int_1(A) -> m1_subset_1(k7_gr_cy_1(A),u1_struct_0(k3_gr_cy_1)))) # label(dt_k7_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11035 (all A (v4_ordinal2(A) -> -v1_xboole_0(k1_gr_cy_1(A)) & m1_subset_1(k1_gr_cy_1(A),k1_zfmisc_1(k5_numbers)))) # label(dt_k1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11036 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> v4_group_1(k5_gr_cy_1(A)) & v1_gr_cy_1(k5_gr_cy_1(A)) & l1_group_1(k5_gr_cy_1(A)) & v3_group_1(k5_gr_cy_1(A)) & -v3_struct_0(k5_gr_cy_1(A))))) # label(t49_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11037 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_gr_cy_1(k5_group_2(A)))) # label(t40_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11038 (exists A (-v3_struct_0(A) & v2_group_1(A) & v3_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & v1_group_1(A) & l1_group_1(A))) # label(rc1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11039 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> v1_int_1(k6_gr_cy_1(A)))) # label(dt_k6_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11040 $T # label(t11_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11041 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & k7_group_1(A,B) = k9_group_1(A))) <-> v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v3_group_1(A) & -v3_struct_0(A))))) # label(t43_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11042 (all A (m1_subset_1(A,k4_numbers) -> (A = np__0 -> r3_binop_1(k4_numbers,A,k44_binop_2)))) # label(t15_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11043 (all A (v1_int_1(A) -> A = k7_gr_cy_1(A))) # label(d8_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11044 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (v1_int_2(A) & A = k9_group_1(B) & v6_group_1(B) -> -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B)))))) # label(t45_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11045 $T # label(t8_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11046 $T # label(t2_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11047 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A)) = k5_gr_cy_1(A)))) # label(d6_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11048 (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) -> ((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) = k1_binop_1(k33_binop_2,B,C))))) <-> A = k44_binop_2))) # label(d2_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11049 $T # label(t23_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11050 (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)) -> (v6_group_1(A) -> k6_group_1(A,k9_group_1(A),B) = k2_group_1(A)))))) # label(t29_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11051 (all A (v4_ordinal2(A) -> v1_funct_1(k4_gr_cy_1(A)) & v1_funct_2(k4_gr_cy_1(A),k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & m2_relset_1(k4_gr_cy_1(A),k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)))) # label(dt_k4_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11052 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> -(-r1_xreal_0(k9_group_1(A),np__1) & (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) = B))))) # label(t31_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11053 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & m2_relset_1(B,k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) -> (k4_gr_cy_1(A) = B <-> (all C (m2_subset_1(C,k5_numbers,k1_gr_cy_1(A)) -> (all D (m2_subset_1(D,k5_numbers,k1_gr_cy_1(A)) -> k2_binop_1(k1_gr_cy_1(A),k1_gr_cy_1(A),k1_gr_cy_1(A),B,C,D) = k4_nat_1(k1_nat_1(C,D),A))))))))))) # label(d5_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11054 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v1_gr_cy_1(A) & v4_group_1(A) & v3_group_1(A) -> v2_group_1(A) & v3_group_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A)))) # label(cc1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11055 (all A all B (v4_ordinal2(B) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & C = A & -r1_xreal_0(B,C))) <-> r2_hidden(A,a_1_0_gr_cy_1(B))))) # label(fraenkel_a_1_0_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11056 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> (all C (m1_isocat_1(C,A,B) -> m2_cat_1(C,A,B))))) # label(dt_m1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11057 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k8_isocat_1(A,B,B,C,D,k1_isocat_1(B),k1_isocat_1(B),E,k7_nattra_1(B,B,k1_isocat_1(B))),E)))))))))))) # label(t42_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11058 (all A (l1_cat_1(A) & v2_cat_1(A) -> k15_cat_1(A) = k1_isocat_1(A))) # label(redefinition_k1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11059 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m1_isocat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (exists E (m1_subset_1(E,u1_cat_1(A)) & r1_cat_1(B,D,k13_cat_1(A,B,C,E)))))) & v10_cat_1(C,A,B) & v9_cat_1(C,A,B)))))))) # label(t58_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11060 (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 (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,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))) & 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,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> 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(d1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11061 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> r1_isocat_1(k11_cat_2(A,B),k11_cat_2(B,A)))))) # label(t22_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11062 $T # label(t5_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11063 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (r3_nattra_1(B,C,G,H) -> r3_nattra_1(A,C,k2_isocat_1(A,B,C,E,G),k2_isocat_1(A,B,C,E,H)) & r3_nattra_1(B,D,k2_isocat_1(B,C,D,G,F),k2_isocat_1(B,C,D,H,F))))))))))))))))))) # label(t48_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11064 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,C,A) -> (all G (m2_nattra_1(G,B,C,D,E) -> (r2_nattra_1(B,C,D,E) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k6_isocat_1(B,C,A,D,E,G,F),k8_isocat_1(B,C,A,D,E,F,F,G,k7_nattra_1(C,A,F)))))))))))))))))) # label(t46_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11065 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (r2_nattra_1(B,C,D,E) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,B,C,D,E) -> k5_isocat_1(A,B,C,D,E,F,G) = k7_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d8_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11066 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),k2_isocat_1(A,B,A,k3_isocat_1(B,A,C),C),k1_isocat_1(A)) & r4_nattra_1(u2_cat_1(B),u2_cat_1(B),u2_cat_1(B),u2_cat_1(B),k2_isocat_1(B,A,B,C,k3_isocat_1(B,A,C)),k1_isocat_1(B))))))))) # label(t16_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11067 $T # label(t52_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11068 (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) -> (r2_isocat_1(B,C) & r2_isocat_1(A,B) -> r2_isocat_1(A,C)))))))) # label(t53_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11069 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m1_isocat_1(C,A,B) -> (exists D (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & m1_isocat_1(D,B,A)))))))))) # label(t56_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11070 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (r1_nattra_1(B,C,D,E) -> (all F (m2_cat_1(F,A,B) -> (all G (m1_nattra_1(G,B,C,D,E) -> k5_isocat_1(A,B,C,D,E,F,G) = k7_funct_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k12_cat_1(A,B,F),G)))))))))))))))) # label(d6_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11071 (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) -> (v8_cat_1(C,A,B) -> v8_cat_1(k3_isocat_1(A,B,C),B,A)))))))) # label(t13_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11072 $T # label(t19_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11073 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v8_cat_1(D,A,B) & v8_cat_1(E,B,C) -> v8_cat_1(k2_isocat_1(A,B,C,D,E),A,C)))))))))))) # label(t17_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11074 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,C,D) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,D,A) -> (all H (m2_cat_1(H,A,B) -> (all I (m2_nattra_1(I,C,D,E,F) -> (r2_nattra_1(C,D,E,F) -> r4_nattra_1(u1_cat_1(C),u2_cat_1(B),u1_cat_1(C),u2_cat_1(B),k6_isocat_1(C,D,B,E,F,I,k2_isocat_1(D,A,B,G,H)),k6_isocat_1(C,A,B,k2_isocat_1(C,D,A,E,G),k2_isocat_1(C,D,A,F,G),k6_isocat_1(C,D,A,E,F,I,G),H))))))))))))))))))))) # label(t36_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11075 (all A (v2_cat_1(A) & l1_cat_1(A) -> m2_cat_1(k1_isocat_1(A),A,A))) # label(dt_k1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11076 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k13_cat_1(B,A,C,E) = D))))))))))) # label(t11_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11077 (all A (v2_cat_1(A) & l1_cat_1(A) -> m1_isocat_1(k1_isocat_1(A),A,A))) # label(t54_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11078 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m2_cat_1(C,A,B) -> (m1_isocat_1(C,A,B) <-> (exists D (r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & m2_cat_1(D,B,A))))))))))) # label(d11_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11079 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> r2_isocat_1(A,A))) # label(reflexivity_r2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11080 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (exists E (m1_subset_1(E,u2_cat_1(B)) & D = k8_funct_2(u2_cat_1(B),u2_cat_1(A),C,E)))))))))))) # label(t10_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11081 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (r1_isocat_1(C,D) & r1_isocat_1(A,B) -> r1_isocat_1(k11_cat_2(A,C),k11_cat_2(B,D))))))))))) # label(t24_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11082 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r2_nattra_1(B,A,C,D) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> k6_cat_1(A,k13_cat_1(B,A,C,E),k13_cat_1(B,A,D,E)) != k1_xboole_0))))))))))) # label(t30_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11083 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,C,A) -> (all H (m2_nattra_1(H,B,C,D,E) -> (all I (m2_nattra_1(I,B,C,E,F) -> (r2_nattra_1(B,C,E,F) & r2_nattra_1(B,C,D,E) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k6_isocat_1(B,C,A,D,F,k8_nattra_1(B,C,D,E,F,H,I),G),k8_nattra_1(B,A,k2_isocat_1(B,C,A,D,G),k2_isocat_1(B,C,A,E,G),k2_isocat_1(B,C,A,F,G),k6_isocat_1(B,C,A,D,E,H,G),k6_isocat_1(B,C,A,E,F,I,G)))))))))))))))))))))) # label(t32_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11084 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> k5_relat_1(D,E) = k2_isocat_1(A,B,C,D,E))) # label(redefinition_k2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11085 (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,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m2_cat_1(F,C,A) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k5_nattra_1(A,B,D,E,G,k13_cat_1(C,A,F,H)) = k5_nattra_1(C,B,k2_isocat_1(C,A,B,F,D),k2_isocat_1(C,A,B,F,E),k5_isocat_1(C,A,B,D,E,F,G),H)))))))))))))))))) # label(t25_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11086 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(A,B,D,E) -> r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G))))))))))))))))) # label(t27_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11087 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k6_isocat_1(A,B,B,C,D,E,k1_isocat_1(B)),E)))))))))))) # label(t40_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11088 $T # label(t51_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11089 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> k4_isocat_1(A,B,C,D,E,F,G) = k7_funct_2(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),F,G)))))))))))))))) # label(d5_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11090 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_isocat_1(A,B) -> r2_isocat_1(A,B)))))) # label(t50_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11091 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> (exists C m1_isocat_1(C,A,B)))) # label(existence_m1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11092 (all A all B all C (v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k3_isocat_1(A,B,C),B,A))) # label(dt_k3_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11093 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,A,A) -> (r3_nattra_1(A,A,E,k1_isocat_1(A)) -> r3_nattra_1(A,B,k2_isocat_1(A,A,B,E,C),C) & r3_nattra_1(B,A,k2_isocat_1(B,A,A,D,E),D)))))))))))) # label(t49_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11094 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (r1_isocat_1(B,C) & r1_isocat_1(A,B) -> r1_isocat_1(A,C)))))))) # label(t20_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11095 $T # label(t6_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11096 (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 (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,B,C,E,F) -> (all I (m2_nattra_1(I,B,C,F,G) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,G,D,k8_nattra_1(B,C,E,F,G,H,I)),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,E),k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,D,G),k7_isocat_1(A,B,C,E,F,D,H),k7_isocat_1(A,B,C,F,G,D,I)))))))))))))))))))))) # label(t33_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11097 (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) -> v2_funct_1(k12_cat_1(A,B,C))))))))) # label(t12_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11098 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B all C r1_isocat_1(k11_cat_2(k8_cat_1(B,C),A),A)))) # label(t21_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11099 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,C) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,C,D) -> (all H (m2_cat_1(H,D,B) -> (all I (m2_nattra_1(I,C,D,F,G) -> (r2_nattra_1(C,D,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k7_isocat_1(A,C,B,k2_isocat_1(C,D,B,F,H),k2_isocat_1(C,D,B,G,H),E,k6_isocat_1(C,D,B,F,G,I,H)),k6_isocat_1(A,D,B,k2_isocat_1(A,C,D,E,F),k2_isocat_1(A,C,D,E,G),k7_isocat_1(A,C,D,F,G,E,I),H))))))))))))))))))))) # label(t35_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11100 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_nattra_1(E,B,A,C,D) -> (r2_nattra_1(B,A,C,D) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k8_isocat_1(B,B,A,k1_isocat_1(B),k1_isocat_1(B),C,D,k7_nattra_1(B,B,k1_isocat_1(B)),E),E)))))))))))) # label(t43_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11101 (all A all B all C all D all E all F all G (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m1_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) & v2_cat_1(B) & v2_cat_1(A) -> m1_nattra_1(k4_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G)))) # label(dt_k4_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11102 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> k4_isocat_1(A,B,C,D,E,F,G) = k6_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d7_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11103 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),k14_cat_1(B,A,A,D,k15_cat_1(A)),D) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k14_cat_1(A,A,B,k15_cat_1(A),C),C))))))))) # label(t4_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11104 (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 (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (all I (m2_cat_1(I,C,D) -> (all J (m2_cat_1(J,C,D) -> (all K (m2_nattra_1(K,A,B,E,F) -> (all L (m2_nattra_1(L,B,C,G,H) -> (all M (m2_nattra_1(M,C,D,I,J) -> (r2_nattra_1(A,B,E,F) & r2_nattra_1(B,C,G,H) & r2_nattra_1(C,D,I,J) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(D),u1_cat_1(A),u2_cat_1(D),k8_isocat_1(A,C,D,k2_isocat_1(A,B,C,E,G),k2_isocat_1(A,B,C,F,H),I,J,k8_isocat_1(A,B,C,E,F,G,H,K,L),M),k8_isocat_1(A,B,D,E,F,k2_isocat_1(B,C,D,G,I),k2_isocat_1(B,C,D,H,J),K,k8_isocat_1(B,C,D,G,H,I,J,L,M)))))))))))))))))))))))))))))) # label(t44_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11105 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> r1_isocat_1(A,A))) # label(reflexivity_r1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11106 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> (all H (m1_subset_1(H,u1_cat_1(A)) -> k3_nattra_1(B,C,G,k13_cat_1(A,B,D,H),k13_cat_1(A,B,E,H),k5_nattra_1(A,B,D,E,F,H)) = k5_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k4_isocat_1(A,B,C,D,E,F,G),H)))))))))))))))))) # label(t26_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11107 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> (r1_isocat_1(A,B) -> r1_isocat_1(B,A)))) # label(symmetry_r1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11108 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,B,C,F,G) -> k8_isocat_1(A,B,C,D,E,F,G,H,I) = k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,F),k2_isocat_1(A,B,C,E,G),k6_isocat_1(A,B,C,D,E,H,F),k7_isocat_1(A,B,C,F,G,E,I)))))))))))))))))))) # label(d9_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11109 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,B,C,F,G) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(B,C,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k8_isocat_1(A,B,C,D,E,F,G,H,I),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k7_isocat_1(A,B,C,F,G,D,I),k6_isocat_1(A,B,C,D,E,H,G)))))))))))))))))))))) # label(t41_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11110 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r1_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(t9_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11111 (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(k15_funct_3(A,B))))))) # label(t1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11112 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (r2_isocat_1(A,B) -> r2_isocat_1(B,A)))) # label(symmetry_r2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11113 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (v5_cat_1(D,B) -> v5_cat_1(k8_funct_2(u2_cat_1(B),u2_cat_1(A),C,D),A)))))))))) # label(t3_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11114 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_nattra_1(G,B,C,E,F) -> (r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,F,D,G),k8_isocat_1(A,B,C,D,D,E,F,k7_nattra_1(A,B,D),G))))))))))))))))) # label(t45_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11115 (all A all B all C all D all E all F all G (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_nattra_1(G,B,C,D,E) & m2_cat_1(F,A,B) & m2_cat_1(E,B,C) & m2_cat_1(D,B,C) & l1_cat_1(A) -> m2_nattra_1(k7_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,F,D),k2_isocat_1(A,B,C,F,E)))) # label(dt_k7_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11116 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> (all H (m1_subset_1(H,u1_cat_1(A)) -> k5_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k6_isocat_1(A,B,C,D,E,F,G),H) = k3_nattra_1(B,C,G,k13_cat_1(A,B,D,H),k13_cat_1(A,B,E,H),k5_nattra_1(A,B,D,E,F,H))))))))))))))))))) # label(t28_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11117 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (all I (m2_cat_1(I,B,C) -> (all J (m2_nattra_1(J,A,B,D,E) -> (all K (m2_nattra_1(K,A,B,E,F) -> (all L (m2_nattra_1(L,B,C,G,H) -> (all M (m2_nattra_1(M,B,C,H,I) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(B,C,H,I) & r2_nattra_1(B,C,G,H) & r2_nattra_1(A,B,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k8_isocat_1(A,B,C,D,F,G,I,k8_nattra_1(A,B,D,E,F,J,K),k8_nattra_1(B,C,G,H,I,L,M)),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,H),k2_isocat_1(A,B,C,F,I),k8_isocat_1(A,B,C,D,E,G,H,J,L),k8_isocat_1(A,B,C,E,F,H,I,K,M)))))))))))))))))))))))))))))) # label(t47_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11118 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> ((exists C ((exists D (m2_cat_1(D,B,A) & r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)))) & m2_cat_1(C,A,B))) <-> r2_isocat_1(A,B)))))) # label(d10_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11119 (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) -> (v8_cat_1(C,A,B) -> k3_isocat_1(A,B,C) = k2_funct_1(C)))))))) # label(d2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11120 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k2_isocat_1(A,B,C,D,E),A,C))) # label(dt_k2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11121 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k6_isocat_1(A,B,C,D,D,k7_nattra_1(A,B,D),E),k7_nattra_1(A,C,k2_isocat_1(A,B,C,D,E))))))))))))) # label(t38_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11122 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(B,C,F,G) -> r1_nattra_1(A,C,k14_cat_1(A,B,C,D,F),k14_cat_1(A,B,C,E,G))))))))))))))))) # label(t8_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11123 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r2_hidden(k5_nattra_1(A,B,C,D,E,F),k6_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(t7_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11124 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> u2_cat_1(A) = k2_relat_1(k17_cat_2(B,A)) & u2_cat_1(A) = k2_relat_1(k16_cat_2(A,B)))))) # label(t2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11125 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> r1_isocat_1(k11_cat_2(k11_cat_2(A,B),C),k11_cat_2(A,k11_cat_2(B,C))))))))) # label(t23_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11126 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r1_isocat_1(A,B) <-> (exists C (v8_cat_1(C,A,B) & m2_cat_1(C,A,B)))))))) # label(d4_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11127 (all A all B all C all D all E all F all G (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,B,C) & m2_cat_1(E,B,C) & m1_nattra_1(G,B,C,D,E) & m2_cat_1(F,A,B) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) -> m1_nattra_1(k5_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,F,D),k2_isocat_1(A,B,C,F,E)))) # label(dt_k5_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11128 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r2_nattra_1(B,A,C,D) -> (all E (m2_nattra_1(E,B,A,C,D) -> (all F (m2_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,F,G) = k5_nattra_1(B,A,C,D,E,G))) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),E,F))))))))))))))) # label(t31_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11129 (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) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,E,D,k7_nattra_1(B,C,E)),k7_nattra_1(A,C,k2_isocat_1(A,B,C,D,E))))))))))))) # label(t37_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11130 $T # label(t18_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11131 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) -> v10_cat_1(C,A,B)))))))))) # label(t57_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11132 (all A all B all C all D all E all F all G (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) & m2_cat_1(E,A,B) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> m2_nattra_1(k6_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G)))) # label(dt_k6_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11133 (all A all B all C all D all E all F all G all H all I (l1_cat_1(A) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_cat_1(F,B,C) & m2_nattra_1(I,B,C,F,G) & m2_nattra_1(H,A,B,D,E) & m2_cat_1(G,B,C) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k8_isocat_1(A,B,C,D,E,F,G,H,I),A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G)))) # label(dt_k8_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11134 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (r2_isocat_1(B,C) & r2_isocat_1(A,B) -> (all D (m1_isocat_1(D,A,B) -> (all E (m1_isocat_1(E,B,C) -> m1_isocat_1(k2_isocat_1(A,B,C,D,E),A,C)))))))))))) # label(t55_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11135 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_cat_1(F,C,A) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k5_nattra_1(A,B,D,E,G,k13_cat_1(C,A,F,H)) = k5_nattra_1(C,B,k2_isocat_1(C,A,B,F,D),k2_isocat_1(C,A,B,F,E),k7_isocat_1(C,A,B,D,E,F,G),H)))))))))))))))))) # label(t29_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11136 (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) -> (u2_cat_1(B) = k2_relat_1(C) & v2_funct_1(C) <-> v8_cat_1(C,A,B)))))))) # label(d3_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11137 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k3_isocat_1(B,A,k3_isocat_1(A,B,C)),C)))))))) # label(t15_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11138 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_nattra_1(E,B,A,C,D) -> (r2_nattra_1(B,A,C,D) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k7_isocat_1(B,B,A,C,D,k1_isocat_1(B),E),E)))))))))))) # label(t39_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11139 (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) -> (v8_cat_1(C,A,B) -> k2_funct_1(k12_cat_1(A,B,C)) = k12_cat_1(B,A,k3_isocat_1(A,B,C))))))))) # label(t14_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11140 (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 (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,C,D) -> (all H (m2_cat_1(H,C,D) -> (all I (m2_nattra_1(I,C,D,G,H) -> (r2_nattra_1(C,D,G,H) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(D),u1_cat_1(A),u2_cat_1(D),k7_isocat_1(A,B,D,k2_isocat_1(B,C,D,F,G),k2_isocat_1(B,C,D,F,H),E,k7_isocat_1(B,C,D,G,H,F,I)),k7_isocat_1(A,C,D,G,H,k2_isocat_1(A,B,C,E,F),I))))))))))))))))))))) # label(t34_isocat_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11141 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (k1_tsep_1(A,B,C) = A -> (r4_tsep_1(A,B,C) <-> -(-m1_pre_topc(C,B) & (all D (v1_borsuk_1(D,A) & m1_pre_topc(D,A) & -v3_struct_0(D) -> (all E (-v3_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(E,A) -> -(m1_pre_topc(D,B) & -((all F (v1_tsep_1(F,A) & m1_pre_topc(F,A) & -v3_struct_0(F) -> -(m1_pre_topc(F,k2_tsep_1(A,B,C)) & A = k1_tsep_1(A,k1_tsep_1(A,D,E),F)))) & A != k1_tsep_1(A,D,E)) & m1_pre_topc(E,C)))))) & -m1_pre_topc(B,C))) | r1_tsep_1(A,B,C)))))))) # label(t94_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11142 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> v1_tsep_1(k2_tsep_1(A,B,C),A) & m1_pre_topc(k2_tsep_1(A,B,C),A)))))))) # label(t33_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11143 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (r3_tsep_1(A,C,D) & r3_tsep_1(A,B,D) <-> r3_tsep_1(A,k1_tsep_1(A,B,C),D)))))))))) # label(t79_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11144 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -((all C (v1_pre_topc(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C) -> u1_struct_0(C) != B)) & v4_pre_topc(B,A)))))) # label(t15_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11145 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(C,B) & m1_pre_topc(B,C) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))))) # label(t6_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11146 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> k1_tsep_1(A,B,k1_tsep_1(A,C,D)) = k1_tsep_1(A,k1_tsep_1(A,B,C),D))))))))) # label(t21_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11147 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r4_tsep_1(A,C,D) & r4_tsep_1(A,B,D) -> r4_tsep_1(A,k1_tsep_1(A,B,C),D)) & (r4_tsep_1(A,D,C) & r4_tsep_1(A,D,B) -> r4_tsep_1(A,D,k1_tsep_1(A,B,C))))))))))) # label(t92_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11148 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (r3_tsep_1(A,B,D) -> r1_tsep_1(A,B,C) | r3_tsep_1(A,k2_tsep_1(A,B,C),D)))))))))) # label(t78_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11149 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (k1_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) <-> m1_pre_topc(B,C)))))))) # label(t23_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11150 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v3_pre_topc(C,A)))) <-> v1_tsep_1(B,A)))))) # label(d1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11151 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),B) & m1_pre_topc(k2_tsep_1(A,B,C),C)))))))) # label(t30_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11152 (all A (l1_pre_topc(A) & v1_pre_topc(A) -> k3_pre_topc(A,k2_pre_topc(A)) = A)) # label(t3_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11153 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (m1_pre_topc(B,A) & v1_borsuk_1(B,A) <-> v4_pre_topc(C,A))))))))) # label(t11_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.00 11154 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v3_pre_topc(C,A) <-> v3_pre_topc(D,B))))))))))) # label(t17_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11155 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (-(-m1_pre_topc(C,B) & (all D (-v3_struct_0(D) & v1_tsep_1(D,A) & m1_pre_topc(D,A) -> (all E (-v3_struct_0(E) & m1_pre_topc(E,A) & v1_tsep_1(E,A) -> -(m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B) & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C) & -(-m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E)) & (all F (v1_borsuk_1(F,A) & m1_pre_topc(F,A) & -v3_struct_0(F) -> -(m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F)))))))))) & -m1_pre_topc(B,C)) <-> r4_tsep_1(A,B,C))))))))) # label(t96_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11156 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_pre_topc(B,C) & v1_tsep_1(B,C)))))))) # label(t19_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11157 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))))))) # label(t1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11158 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C) -> v1_borsuk_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A))))))) # label(t24_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11159 (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) -> r2_tsep_1(A,B,C)))))))) # label(t54_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11160 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_tsep_1(A,B,C) & -r1_tarski(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> -(-(-r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),D,E)) & (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(F) -> -(v3_pre_topc(F,A) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A))))) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & v4_pre_topc(E,A) & v4_pre_topc(D,A)))))) & -r1_tarski(B,C)))))))) # label(t60_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11161 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) -> (r1_tsep_1(A,B,C) <-> r3_tsep_1(A,B,C)))))))) # label(t70_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11162 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> v1_borsuk_1(B,C) & m1_pre_topc(B,C) & -v3_struct_0(B)))))))) # label(t14_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11163 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> ((exists D (v1_tsep_1(D,A) & (exists E (v1_tsep_1(E,A) & m1_pre_topc(E,A) & m1_pre_topc(B,D) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(C,E) & -v3_struct_0(E))) & m1_pre_topc(D,A) & -v3_struct_0(D))) <-> r3_tsep_1(A,B,C)))))))) # label(t83_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11164 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & r2_tsep_1(A,B,C) & -r1_tarski(B,C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_tarski(D,B) & -((all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(F,A) & k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F)))) & k4_subset_1(u1_struct_0(A),D,E) != k4_subset_1(u1_struct_0(A),B,C)) & r1_tarski(E,C) & v3_pre_topc(E,A)))))) & -r1_tarski(C,B)))))))) # label(t66_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11165 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r1_tsep_1(A,B,C) & k1_tsep_1(A,B,C) = A -> (r4_tsep_1(A,B,C) <-> v1_tsep_1(B,A) & m1_pre_topc(C,A) & v1_tsep_1(C,A) & m1_pre_topc(B,A))))))))) # label(t98_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11166 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(C,E) & v3_pre_topc(E,A) & v3_pre_topc(D,A) & r1_xboole_0(E,B) & r1_xboole_0(D,C) & r1_tarski(B,D)))))))))))) # label(t48_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11167 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & -v3_struct_0(B))))) # label(rc2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11168 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> (r1_xboole_0(B,C) <-> r1_connsp_1(A,B,C))))))))) # label(t38_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11169 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (v1_tsep_1(C,A) & m1_pre_topc(C,A) -> r4_tsep_1(A,B,C))))))) # label(t88_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11170 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_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))) -> (u1_struct_0(B) = D & u1_struct_0(C) = E -> r1_connsp_1(A,D,E)))))) <-> r3_tsep_1(A,B,C)))))))) # label(d8_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11171 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,C,D) & r2_tsep_1(A,B,D) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t58_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11172 $T # label(t50_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11173 (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(B,C) -> r2_tsep_1(A,B,C)))))))) # label(t52_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11174 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),B,D),k4_subset_1(u1_struct_0(A),C,D))))))))))) # label(t55_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11175 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (u1_struct_0(C) = u1_struct_0(B) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))))))))) # label(t5_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11176 $T # label(t69_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11177 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> r4_tsep_1(A,B,C)))))))) # label(t86_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11178 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,B) & r1_tarski(E,C) & r2_tsep_1(A,C,B) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),C,D),k4_subset_1(u1_struct_0(A),B,E))))))))))))) # label(t56_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11179 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) & m1_pre_topc(k1_tsep_1(A,B,C),A) & v1_tsep_1(k1_tsep_1(A,B,C),A) -> v1_tsep_1(B,A) & m1_pre_topc(B,A)))))))) # label(t75_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11180 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,k6_subset_1(u1_struct_0(A),B,C),k6_subset_1(u1_struct_0(A),C,B)) <-> r2_tsep_1(A,B,C)))))))) # label(d7_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11181 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (k1_tsep_1(A,B,C) = A & r3_tsep_1(A,B,C) -> v1_tsep_1(B,A) & m1_pre_topc(B,A)))))))) # label(t74_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11182 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> (r1_connsp_1(A,B,C) <-> r1_xboole_0(B,C))))))))) # label(t41_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11183 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> m1_pre_topc(B,k1_tsep_1(A,B,C)))))))) # label(t22_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11184 $T # label(t26_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11185 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) -> r1_tsep_1(A,B,C)))))))) # label(t68_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11186 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D ((exists E (r1_tarski(B,D) & r1_tarski(C,E) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t47_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11187 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) -> r1_connsp_1(A,k5_subset_1(u1_struct_0(A),B,D),k5_subset_1(u1_struct_0(A),C,D))))))))))) # label(t43_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11188 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) -> (all E (m1_pre_topc(E,A) -> (m1_pre_topc(D,B) & m1_pre_topc(E,C) & r3_tsep_1(A,B,C) -> r3_tsep_1(A,D,E)))))))))))) # label(t77_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11189 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E ((exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(E,C) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(D,A) & v3_pre_topc(F,A) & v4_pre_topc(E,A) & r1_tarski(D,B) & k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))) <-> r2_tsep_1(A,B,C))))))))) # label(t61_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11190 $T # label(t28_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11191 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) <-> r1_tsep_1(A,B,C) & r4_tsep_1(A,B,C)))))))) # label(t85_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11192 (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(k4_subset_1(u1_struct_0(A),B,C),A) & r1_connsp_1(A,B,C) -> v4_pre_topc(B,A) & v4_pre_topc(C,A)))))))) # label(t39_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11193 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) -> r4_tsep_1(A,B,C))))))) # label(t87_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11194 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & v4_pre_topc(F,A) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B)))))))))))))) # label(t63_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11195 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (k1_tsep_1(A,B,C) = A -> (r4_tsep_1(A,B,C) <-> -((all D (m1_pre_topc(D,A) & v1_tsep_1(D,A) & -v3_struct_0(D) -> (all E (v1_tsep_1(E,A) & m1_pre_topc(E,A) & -v3_struct_0(E) -> -(m1_pre_topc(E,C) & -(k1_tsep_1(A,D,E) != A & (all F (v1_borsuk_1(F,A) & m1_pre_topc(F,A) & -v3_struct_0(F) -> -(A = k1_tsep_1(A,k1_tsep_1(A,D,E),F) & m1_pre_topc(F,k2_tsep_1(A,B,C)))))) & m1_pre_topc(D,B)))))) & -m1_pre_topc(C,B) & -m1_pre_topc(B,C))) | r1_tsep_1(A,B,C)))))))) # label(t97_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11196 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (-r1_tsep_1(A,B,C) -> k1_tsep_1(A,k2_tsep_1(A,B,C),D) = k2_tsep_1(A,k1_tsep_1(A,B,D),k1_tsep_1(A,C,D)) & k1_tsep_1(A,D,k2_tsep_1(A,B,C)) = k2_tsep_1(A,k1_tsep_1(A,D,B),k1_tsep_1(A,D,C))))))))))) # label(t36_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11197 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,C,D) & r2_tsep_1(A,B,D) -> r2_tsep_1(A,k5_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t57_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11198 $T # label(d4_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11199 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) <-> (exists D (-v3_struct_0(D) & m1_pre_topc(D,A) & (exists E ((r1_tsep_1(A,D,E) | r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C))) & m1_pre_topc(C,E) & m1_pre_topc(B,D) & r4_tsep_1(A,D,E) & m1_pre_topc(E,A) & -v3_struct_0(E)))))))))))) # label(t99_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11200 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> r2_tsep_1(A,B,C)))))))) # label(t53_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11201 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_tsep_1(A,B,C) <-> r1_xboole_0(u1_struct_0(B),u1_struct_0(C))))))))) # label(d3_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11202 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C (-v3_struct_0(C) & v1_pre_topc(C) & u1_struct_0(C) = B & m1_pre_topc(C,A))))))) # label(t10_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11203 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,C,D) | r1_connsp_1(A,B,D) -> r1_connsp_1(A,k5_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t44_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11204 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (m1_pre_topc(B,C) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k2_tsep_1(A,B,C)) & (m1_pre_topc(C,B) -> k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))) & (k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) -> m1_pre_topc(C,B)) & (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k2_tsep_1(A,B,C) -> m1_pre_topc(B,C))))))))) # label(t31_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11205 (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))) -> (r2_tsep_1(A,B,C) <-> (exists D ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & (exists F (r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & v3_pre_topc(F,A) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t59_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11206 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> r1_xboole_0(B,C) & r2_tsep_1(A,B,C)))))))) # label(t51_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11207 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (-r1_tsep_1(A,C,D) -> (r4_tsep_1(A,B,C) & r4_tsep_1(A,B,D) -> r4_tsep_1(A,B,k2_tsep_1(A,C,D))) & (r4_tsep_1(A,D,B) & r4_tsep_1(A,C,B) -> r4_tsep_1(A,k2_tsep_1(A,C,D),B))))))))))) # label(t91_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11208 (all A all B all C (m1_pre_topc(B,A) & m1_pre_topc(C,A) & l1_pre_topc(A) -> (r4_tsep_1(A,B,C) -> r4_tsep_1(A,C,B)))) # label(symmetry_r4_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11209 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v3_pre_topc(C,A) <-> v1_tsep_1(B,A) & m1_pre_topc(B,A))))))))) # label(t16_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11210 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) & v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) -> v3_pre_topc(B,A) & v3_pre_topc(C,A)))))))) # label(t42_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11211 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,D) & r1_tarski(C,E) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C))))))))))))) # label(t49_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11212 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,k4_subset_1(u1_struct_0(A),B,C),D) <-> r1_connsp_1(A,B,D) & r1_connsp_1(A,C,D)))))))))) # label(t45_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11213 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r1_tsep_1(A,B,C) & k1_tsep_1(A,B,C) = A -> (r4_tsep_1(A,B,C) <-> m1_pre_topc(B,A) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) & v1_borsuk_1(B,A))))))))) # label(t95_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11214 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (v1_borsuk_1(C,B) & m1_pre_topc(C,B) -> m1_pre_topc(C,A) & v1_borsuk_1(C,A))))))) # label(t13_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11215 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,B) -> m1_pre_topc(C,A))))))) # label(t7_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11216 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (v4_pre_topc(C,A) & r1_tarski(D,C) & E = D & r1_tarski(C,u1_struct_0(B)) -> (v4_pre_topc(E,B) <-> v4_pre_topc(D,A))))))))))))) # label(t8_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11217 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> v1_tsep_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A))))))) # label(t25_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11218 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (-v3_struct_0(D) & m1_pre_topc(D,A) & (exists E (-v3_struct_0(E) & m1_pre_topc(C,E) & r1_tsep_1(A,D,C) & r1_tsep_1(A,E,B) & m1_pre_topc(B,D) & m1_pre_topc(E,A) & v1_borsuk_1(E,A))) & v1_borsuk_1(D,A))) <-> r3_tsep_1(A,B,C)))))))) # label(t80_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11219 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,C) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & r1_xboole_0(E,B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r1_connsp_1(A,B,C)))))))) # label(t46_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11220 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> -(-r1_tsep_1(A,B,D) & -r1_tsep_1(A,D,C) & -(k2_tsep_1(A,D,k1_tsep_1(A,B,C)) = k1_tsep_1(A,k2_tsep_1(A,D,B),k2_tsep_1(A,D,C)) & k1_tsep_1(A,k2_tsep_1(A,B,D),k2_tsep_1(A,C,D)) = k2_tsep_1(A,k1_tsep_1(A,B,C),D))))))))))) # label(t35_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11221 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v1_borsuk_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A) & r3_tsep_1(A,B,C) -> m1_pre_topc(B,A) & v1_borsuk_1(B,A)))))))) # label(t72_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11222 (all A (l1_pre_topc(A) -> m1_pre_topc(A,A))) # label(t2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11223 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(-r1_tarski(B,C) & -r1_tarski(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & -((all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A) & v4_pre_topc(F,A)))) & -r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),D,E))) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & r2_tsep_1(A,B,C)))))))) # label(t64_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11224 (all A all B all C (m1_pre_topc(B,A) & -v3_struct_0(C) & m1_pre_topc(C,A) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_pre_topc(k1_tsep_1(A,B,C),A) & v1_pre_topc(k1_tsep_1(A,B,C)) & -v3_struct_0(k1_tsep_1(A,B,C)))) # label(dt_k1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11225 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r4_tsep_1(A,B,C) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (D = u1_struct_0(B) & E = u1_struct_0(C) -> r2_tsep_1(A,D,E))))))))))))) # label(d9_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11226 (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_xboole_0(B,C) & v3_pre_topc(B,A) -> r1_xboole_0(B,k6_pre_topc(A,C))))))))) # label(t40_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11227 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),k1_tsep_1(A,B,C))))))))) # label(t34_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11228 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (all E (-v3_struct_0(E) & m1_pre_topc(E,A) -> (r4_tsep_1(A,C,B) & m1_pre_topc(E,C) & m1_pre_topc(D,B) -> r4_tsep_1(A,k1_tsep_1(A,C,D),k1_tsep_1(A,B,E)) & r4_tsep_1(A,k1_tsep_1(A,D,C),k1_tsep_1(A,E,B))))))))))))) # label(t90_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11229 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (k1_tsep_1(A,B,C) = A & r3_tsep_1(A,B,C) -> m1_pre_topc(B,A) & v1_borsuk_1(B,A)))))))) # label(t71_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11230 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & v2_pre_topc(B) & v1_pre_topc(B))))) # label(rc1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11231 (all A all B all C (l1_pre_topc(A) & m1_pre_topc(C,A) & m1_pre_topc(B,A) -> (r1_tsep_1(A,B,C) -> r1_tsep_1(A,C,B)))) # label(symmetry_r1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11232 (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_pre_topc(A) -> (r2_tsep_1(A,B,C) -> r2_tsep_1(A,C,B)))) # label(symmetry_r2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11233 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> (u1_struct_0(D) = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) <-> D = k1_tsep_1(A,B,C)))))))))) # label(d2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11234 (all A all B all C (-v3_struct_0(B) & -v3_struct_0(C) & m1_pre_topc(C,A) & m1_pre_topc(B,A) & l1_pre_topc(A) & -v3_struct_0(A) -> k1_tsep_1(A,C,B) = k1_tsep_1(A,B,C))) # label(commutativity_k1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11235 (all A all B all C (l1_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & -v3_struct_0(C) & m1_pre_topc(C,A) & -v3_struct_0(A) -> v1_pre_topc(k2_tsep_1(A,B,C)) & m1_pre_topc(k2_tsep_1(A,B,C),A) & -v3_struct_0(k2_tsep_1(A,B,C)))) # label(dt_k2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11236 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (-r1_tsep_1(A,B,C) -> k2_tsep_1(A,B,C) = k2_tsep_1(A,C,B)) & (-r1_tsep_1(A,k2_tsep_1(A,B,C),D) & -r1_tsep_1(A,B,C) | -r1_tsep_1(A,B,k2_tsep_1(A,C,D)) & -r1_tsep_1(A,C,D) -> k2_tsep_1(A,k2_tsep_1(A,B,C),D) = k2_tsep_1(A,B,k2_tsep_1(A,C,D))))))))))) # label(t29_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11237 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v4_pre_topc(D,B) <-> v4_pre_topc(C,A))))))))))) # label(t12_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11238 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (all D (m1_pre_topc(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> (k2_tsep_1(A,B,C) = D <-> u1_struct_0(D) = k3_xboole_0(u1_struct_0(B),u1_struct_0(C)))))))))))) # label(d5_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11239 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(C,A) & r1_tarski(D,C) & E = D & r1_tarski(C,u1_struct_0(B)) -> (v3_pre_topc(E,B) <-> v3_pre_topc(D,A))))))))))))) # label(t9_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11240 $T # label(d6_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11241 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) -> (r2_tsep_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E ((exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v3_pre_topc(D,A) & v4_pre_topc(F,A) & v3_pre_topc(E,A) & r1_tarski(E,C) & r1_tarski(D,B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))))))))))))) # label(t65_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11242 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) -> (r1_tsep_1(A,B,C) <-> r3_tsep_1(A,B,C)))))))) # label(t73_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11243 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r3_tsep_1(A,C,D) -> r1_tsep_1(A,C,B) | r3_tsep_1(A,k2_tsep_1(A,C,B),k2_tsep_1(A,D,B)) & r3_tsep_1(A,k2_tsep_1(A,B,C),k2_tsep_1(A,B,D)) | r1_tsep_1(A,D,B)))))))))) # label(t76_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11244 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (-v3_struct_0(D) & (exists E (-v3_struct_0(E) & m1_pre_topc(C,E) & r1_tsep_1(A,D,C) & r1_tsep_1(A,E,B) & m1_pre_topc(B,D) & m1_pre_topc(E,A) & v1_tsep_1(E,A))) & m1_pre_topc(D,A) & v1_tsep_1(D,A))) <-> r3_tsep_1(A,B,C)))))))) # label(t82_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11245 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> -(-m1_pre_topc(B,C) & (all D (-v3_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) -> (all E (m1_pre_topc(E,A) & v1_borsuk_1(E,A) & -v3_struct_0(E) -> -(m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B) & -((all F (v1_tsep_1(F,A) & m1_pre_topc(F,A) & -v3_struct_0(F) -> -(m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)) & k1_tsep_1(A,k1_tsep_1(A,D,E),F) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))) & -m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E))) & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C)))))) & -m1_pre_topc(C,B)))))))))) # label(t93_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11246 (all A all B all C (l1_pre_topc(A) & m1_pre_topc(B,A) & m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) -> r3_tsep_1(A,C,B)))) # label(symmetry_r3_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11247 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_pre_topc(C,B) & v1_tsep_1(C,B) -> m1_pre_topc(C,A) & v1_tsep_1(C,A))))))) # label(t18_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11248 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> u1_struct_0(C) != B)) & v3_pre_topc(B,A)))))) # label(t20_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11249 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> ((exists D (v1_borsuk_1(D,A) & (exists E (-v3_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(B,D) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(C,E) & m1_pre_topc(E,A))) & m1_pre_topc(D,A) & -v3_struct_0(D))) <-> r3_tsep_1(A,B,C)))))))) # label(t81_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11250 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> -(v4_pre_topc(D,A) & v4_pre_topc(E,A) & r1_tarski(D,B) & -((all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v3_pre_topc(F,A) & k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F)))) & k4_subset_1(u1_struct_0(A),B,C) != k4_subset_1(u1_struct_0(A),D,E)) & r1_tarski(E,C)))))) & -r1_tarski(C,B) & -r1_tarski(B,C) & r2_tsep_1(A,B,C)))))))) # label(t62_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11251 $T # label(t84_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11252 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> v1_borsuk_1(k2_tsep_1(A,B,C),A) & m1_pre_topc(k2_tsep_1(A,B,C),A)))))))) # label(t32_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11253 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) <-> r1_tarski(u1_struct_0(B),u1_struct_0(C))))))))) # label(t4_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11254 $T # label(t37_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11255 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & r2_tsep_1(A,D,E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))))))))))))) # label(t67_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11256 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (r4_tsep_1(A,B,C) -> r4_tsep_1(A,k1_tsep_1(A,B,D),k1_tsep_1(A,C,D))))))))))) # label(t89_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11257 $T # label(t27_tsep_1) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11258 (all A (v4_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k11_lattice3(A,B,C) = k11_lattice3(A,C,B))))))) # label(t15_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11259 (all A (l1_orders_2(A) & -v3_struct_0(A) -> (v3_lattice3(A) -> v1_lattice3(A) & v2_lattice3(A)))) # label(t12_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11260 r1_tarski(f2_s2_lattice3,k1_relat_1(f4_s2_lattice3)) -> a_0_2_lattice3 = k9_relat_1(f4_s2_lattice3,a_0_1_lattice3) # label(s2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11261 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (v6_lattice3(A) <-> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k16_lattice3(A,a_3_5_lattice3(A,B,C)),k3_lattices(A,C,k16_lattice3(A,B)))))))) # label(t36_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11262 (all A (A = k6_lattices(k1_lattice3(A)) & v14_lattices(k1_lattice3(A)))) # label(t4_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11263 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> k15_lattice3(A,a_3_6_lattice3(A,B,C)) = k4_filter_0(A,B,C)))))))) # label(t52_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11264 (all A v4_lattice3(k1_lattice3(A))) # label(t25_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.01 11265 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice3(A))) -> (r1_lattices(k1_lattice3(A),B,C) <-> r1_tarski(B,C)))))) # label(t2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11266 (all A (l1_orders_2(A) -> (v2_lattice3(k7_lattice3(A)) <-> v1_lattice3(A)))) # label(t10_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11267 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k4_lattice3(A,B))))) # label(d3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11268 (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)) & v1_lattice3(A) & v4_orders_2(A) -> m1_subset_1(k13_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11269 (all A (l1_orders_2(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r1_orders_2(A,D,C))))))))) # label(d9_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11270 (all A ((exists B (k1_funct_1(f4_s2_lattice3,f3_s2_lattice3(B)) = A & p1_s2_lattice3(B) & m1_subset_1(B,f1_s2_lattice3))) <-> r2_hidden(A,a_0_2_lattice3))) # label(fraenkel_a_0_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11271 (all A (-v3_struct_0(A) & v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C r3_lattices(A,k3_lattices(A,B,k16_lattice3(A,C)),k16_lattice3(A,a_3_4_lattice3(A,B,C)))))))) # label(t35_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11272 (all A all B all C (v2_lattice3(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & v4_orders_2(A) -> k11_lattice3(A,B,C) = k12_lattice3(A,B,C))) # label(redefinition_k12_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11273 (all A (v3_lattices(k1_lattice3(A)) & v5_lattices(k1_lattice3(A)) & v9_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) & v8_lattices(k1_lattice3(A)) & v7_lattices(k1_lattice3(A)) & v6_lattices(k1_lattice3(A)) & v4_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11274 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v6_lattice3(B) & v4_lattice3(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_lattices(B,C,k16_lattice3(B,A)) = k16_lattice3(B,a_3_9_lattice3(A,B,C)) & k3_lattices(B,k16_lattice3(B,A),C) = k16_lattice3(B,a_3_10_lattice3(A,B,C)))))) # label(t55_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11275 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) -> v10_lattices(A) & k6_lattices(A) = k15_lattice3(A,u1_struct_0(A)) & l3_lattices(A) & v14_lattices(A) & -v3_struct_0(A))) # label(t51_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11276 (all A (v4_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_lattice3(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)) -> k12_lattice3(A,B,k13_lattice3(A,B,C)) = B)))))) # label(t18_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11277 (all A (l1_orders_2(A) -> k7_lattice3(A) = g1_orders_2(u1_struct_0(A),k6_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))))) # label(d5_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11278 (all A (l1_orders_2(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,B) & r1_orders_2(A,E,C) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,C) & r1_orders_2(A,D,B) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v2_lattice3(A)))) # label(d11_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11279 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k15_lattice3(A,a_2_3_lattice3(A,B)) & k16_lattice3(A,a_2_4_lattice3(A,B)) = B)))) # label(t45_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11280 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(k7_lattice3(A))) -> k9_lattice3(A,B) = B)))) # label(d7_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11281 (all A (r2_hidden(A,a_0_0_lattice3) <-> (exists B (m1_subset_1(B,f2_s1_lattice3) & p1_s1_lattice3(B) & f1_s1_lattice3 = A)))) # label(fraenkel_a_0_0_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11282 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k16_lattice3(A,k1_struct_0(A,B)) & k15_lattice3(A,k1_struct_0(A,B)) = B)))) # label(t43_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11283 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> ((exists E (r2_hidden(E,D) & k3_lattices(B,C,E) = A & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_4_lattice3(B,C,D))))) # label(fraenkel_a_3_4_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11284 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(k3_lattice3(A))) -> m1_subset_1(k5_lattice3(A,B),u1_struct_0(A)))) # label(dt_k5_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11285 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) -> r3_lattices(A,B,k15_lattice3(A,C)) & r3_lattices(A,k16_lattice3(A,C),B))))))) # label(t38_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11286 (all A all B all C all D (-v3_struct_0(C) & v4_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) & v6_lattice3(C) & v10_lattices(C) -> (r2_hidden(A,a_3_9_lattice3(B,C,D)) <-> (exists E (r2_hidden(E,B) & k3_lattices(C,D,E) = A & m1_subset_1(E,u1_struct_0(C))))))) # label(fraenkel_a_3_9_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11287 (all A all B all C all D (-v3_struct_0(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & k1_lattices(B,D,E) = A & r2_hidden(E,C))) <-> r2_hidden(A,a_3_1_lattice3(B,C,D))))) # label(fraenkel_a_3_1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11288 (all A (l1_orders_2(A) -> (v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,B,D) & r1_orders_2(A,C,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,B,E) & r1_orders_2(A,C,E) -> r1_orders_2(A,D,E)))))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,C,E) & r1_orders_2(A,B,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,C,D) & r1_orders_2(A,B,D) <-> D = k10_lattice3(A,B,C)))))))))))) # label(d13_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11289 (all A (l1_orders_2(A) -> g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k7_lattice3(k7_lattice3(A)))) # label(t8_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11290 (all A all B (v4_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v1_relat_2(B) -> B = k6_lattice3(A,k6_lattice3(A,B)))) # label(involutiveness_k6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11291 (all A (v13_lattices(k1_lattice3(A)) & k1_xboole_0 = k5_lattices(k1_lattice3(A)))) # label(t3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11292 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B k16_lattice3(A,a_2_2_lattice3(A,B)) = k15_lattice3(A,B)))) # label(t37_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11293 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v5_lattice3(A) <-> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r4_lattice3(A,C,B) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r4_lattice3(A,F,B) -> r1_lattices(A,C,F)))) & r4_lattice3(A,E,a_3_0_lattice3(A,B,D)) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r4_lattice3(A,F,a_3_0_lattice3(A,B,D)) -> r1_lattices(A,E,F)))) -> r1_lattices(A,k2_lattices(A,D,C),E))))))))))) # label(d19_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11294 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v2_orders_2(k3_lattice3(A)) & -v3_struct_0(k3_lattice3(A)))) # label(fc4_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11295 (all A (l1_orders_2(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r1_orders_2(A,C,D))))))))) # label(d8_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11296 (all A (l3_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k15_lattice3(A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,D,B) -> r1_lattices(A,C,D)))) & r4_lattice3(A,C,B))))))) # label(d21_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11297 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k3_lattice3(A) = g1_orders_2(u1_struct_0(A),k2_lattice3(A)))) # label(d2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11298 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v2_lattice3(k3_lattice3(A)) & v1_lattice3(k3_lattice3(A)))) # label(t11_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11299 (all A all B all C (v4_lattice3(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_2_lattice3(B,C)) <-> (exists D (r4_lattice3(B,D,C) & A = D & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11300 (all A (l1_orders_2(A) -> (v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & r1_orders_2(A,D,C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,C) & r1_orders_2(A,E,B) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,B))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (D = k11_lattice3(A,B,C) <-> r1_orders_2(A,D,B) & r1_orders_2(A,D,C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,C) & r1_orders_2(A,E,B) -> r1_orders_2(A,E,D))))))))))))))) # label(d14_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11301 (all A (v3_lattices(k1_lattice3(A)) & l3_lattices(k1_lattice3(A)))) # label(dt_k1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11302 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_lattice3(A,B) = B)))) # label(d6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11303 (all A all B all C all D (v4_lattice3(C) & v6_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> ((exists E (r2_hidden(E,B) & k3_lattices(C,E,D) = A & m1_subset_1(E,u1_struct_0(C)))) <-> r2_hidden(A,a_3_10_lattice3(B,C,D))))) # label(fraenkel_a_3_10_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11304 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B all C (r1_tarski(B,C) -> r3_lattices(A,k15_lattice3(A,B),k15_lattice3(A,C)) & r3_lattices(A,k16_lattice3(A,C),k16_lattice3(A,B)))))) # label(t46_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11305 $T # label(t39_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11306 (all A (v4_orders_2(A) & l1_orders_2(A) & v1_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k10_lattice3(A,C,B) = k10_lattice3(A,B,C))))))) # label(t13_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11307 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_lattice3(B))) -> (r2_lattice3(k3_lattice3(B),A,C) <-> r4_lattice3(B,k5_lattice3(B,C),A)))))) # label(t31_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11308 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v2_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)))) # label(fc5_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11309 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice3(A))) -> k3_xboole_0(B,C) = k2_lattices(k1_lattice3(A),B,C) & k2_xboole_0(B,C) = k1_lattices(k1_lattice3(A),B,C))))) # label(t1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11310 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k3_lattice3(k1_lattice2(A)) = k7_lattice3(k3_lattice3(A)) & k6_lattice3(u1_struct_0(A),k2_lattice3(A)) = k2_lattice3(k1_lattice2(A)))) # label(t20_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11311 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B all C ((all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> -(r2_hidden(E,C) & r3_lattices(A,D,E)))) & r2_hidden(D,B)))) -> r3_lattices(A,k15_lattice3(A,B),k15_lattice3(A,C)))))) # label(t48_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11312 (all A (v3_lattices(k1_lattice3(A)) & v4_lattices(k1_lattice3(A)) & v5_lattices(k1_lattice3(A)) & v8_lattices(k1_lattice3(A)) & v9_lattices(k1_lattice3(A)) & v11_lattices(k1_lattice3(A)) & v12_lattices(k1_lattice3(A)) & v17_lattices(k1_lattice3(A)) & v16_lattices(k1_lattice3(A)) & v15_lattices(k1_lattice3(A)) & v14_lattices(k1_lattice3(A)) & v13_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) & v7_lattices(k1_lattice3(A)) & v6_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11313 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(k3_lattice3(A))) -> k5_lattice3(A,B) = B)))) # label(d4_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11314 (exists A (l3_lattices(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v4_lattice3(A) & v6_lattice3(A) & v5_lattice3(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & -v3_struct_0(A))) # label(rc3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11315 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) -> (r2_hidden(A,a_3_5_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & k3_lattices(B,D,E) = A & r2_hidden(E,C)))))) # label(fraenkel_a_3_5_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11316 (all A (l1_orders_2(A) -> (v2_lattice3(A) -> -v3_struct_0(A)))) # label(cc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11317 (all A (l1_orders_2(A) -> v3_lattices(k14_lattice3(A)) & l3_lattices(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & -v3_struct_0(k14_lattice3(A)))) # label(dt_k14_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11318 (exists A (m1_subset_1(A,f2_s1_lattice3) & p1_s1_lattice3(A))) -> k1_tarski(f1_s1_lattice3) = a_0_0_lattice3 # label(s1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11319 (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) -> m1_subset_1(k10_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k10_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11320 (all A all B all C (v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v4_orders_2(A) -> k13_lattice3(A,C,B) = k13_lattice3(A,B,C))) # label(commutativity_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11321 (all A all B (-v3_struct_0(B) & l3_lattices(B) & v17_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r3_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B)) <-> r4_lattice3(B,C,A)))))) # label(t23_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11322 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) & r3_lattice3(A,B,C) -> B = k16_lattice3(A,C))))))) # label(t42_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11323 (all A all B (l3_lattices(B) & v3_lattices(B) -> (B = k1_lattice3(A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> k5_subset_1(A,C,D) = k1_binop_1(u1_lattices(B),C,D) & k1_binop_1(u2_lattices(B),C,D) = k4_subset_1(A,C,D))))) & u1_struct_0(B) = k1_zfmisc_1(A)))) # label(d1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11324 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v3_lattice3(A) & v2_lattice3(A) & v1_lattice3(A) & v1_orders_2(A))) # label(rc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11325 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) -> k13_lattice3(A,B,C) = k10_lattice3(A,B,C))) # label(redefinition_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11326 (all A (l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A)))) # label(dt_k7_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11327 (all A all B all C all D (-v3_struct_0(C) & v4_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & v5_lattice3(C) & v10_lattices(C) -> (r2_hidden(A,a_3_8_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(C)) & A = k4_lattices(C,E,D) & r2_hidden(E,B)))))) # label(fraenkel_a_3_8_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11328 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v3_lattice3(A) & v4_orders_2(A))) # label(rc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11329 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v4_lattice3(B) -> (r2_hidden(A,a_2_5_lattice3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & (exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,C) & r3_lattices(B,D,E))) & D = A))))) # label(fraenkel_a_2_5_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11330 (all A ((exists B (m1_subset_1(B,f1_s2_lattice3) & f3_s2_lattice3(B) = A & p1_s2_lattice3(B))) <-> r2_hidden(A,a_0_1_lattice3))) # label(fraenkel_a_0_1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11331 (all A (-v3_struct_0(A) & v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k15_lattice3(A,k2_struct_0(A,B,C)) & k16_lattice3(A,k2_struct_0(A,B,C)) = k4_lattices(A,B,C))))))) # label(t44_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11332 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v4_lattice3(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & k15_lattice3(B,D) = A & r2_hidden(D,C))) <-> r2_hidden(A,a_2_7_lattice3(B,C))))) # label(fraenkel_a_2_7_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11333 (all A all B (-v3_struct_0(B) & l3_lattices(B) & v5_lattice3(B) & v4_lattice3(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k4_lattices(B,C,k15_lattice3(B,A)) = k15_lattice3(B,a_3_7_lattice3(A,B,C)) & k15_lattice3(B,a_3_8_lattice3(A,B,C)) = k4_lattices(B,k15_lattice3(B,A),C))))) # label(t54_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11334 (all A all B all C all D (-v3_struct_0(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & v4_lattice3(B) & v10_lattices(B) -> (r2_hidden(A,a_3_6_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,k4_lattices(B,C,E),D)))))) # label(fraenkel_a_3_6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11335 (all A all B all C (l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_lattice3(B,C)) <-> (exists D (D = A & r3_lattice3(B,D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11336 (all A all B (v10_lattices(B) & l3_lattices(B) & v17_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r4_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B)) <-> r3_lattice3(B,C,A)))))) # label(t24_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11337 (all A (-v3_struct_0(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & -v3_struct_0(k7_lattice3(A)))) # label(fc6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11338 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B k15_lattice3(A,a_2_1_lattice3(A,B)) = k16_lattice3(A,B)))) # label(d22_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11339 (all A all B (v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> v4_relat_2(k6_lattice3(A,B)) & m2_relset_1(k6_lattice3(A,B),A,A) & v1_partfun1(k6_lattice3(A,B),A,A) & v8_relat_2(k6_lattice3(A,B)) & v1_relat_2(k6_lattice3(A,B)))) # label(dt_k6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11340 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r4_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> r1_lattices(A,D,B)))))))))) # label(d17_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11341 (all A all B (l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k16_lattice3(A,B),u1_struct_0(A)))) # label(dt_k16_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11342 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) -> r3_lattices(A,B,k16_lattice3(A,C)))))))) # label(t40_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11343 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v10_lattices(B) -> (r2_hidden(A,a_2_3_lattice3(B,C)) <-> (exists D (A = D & r3_lattices(B,D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11344 (all A all B all C (v10_lattices(C) & v17_lattices(C) & l3_lattices(C) & -v3_struct_0(C) -> (r2_hidden(A,a_2_0_lattice3(B,C)) <-> (exists D (r2_hidden(D,B) & k7_lattices(C,D) = A & m1_subset_1(D,u1_struct_0(C))))))) # label(fraenkel_a_2_0_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11345 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k1_zfmisc_1(A),A) & m2_relset_1(B,k1_zfmisc_1(A),A) & v1_funct_1(B) -> -((all C (m1_subset_1(C,A) -> C = k8_funct_2(k1_zfmisc_1(A),A,B,k6_domain_1(A,C)))) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> k8_funct_2(k1_zfmisc_1(A),A,B,k10_relset_1(k1_zfmisc_1(A),A,B,C)) = k1_funct_1(B,k3_tarski(C)))) & (all C (v3_lattices(C) & v10_lattices(C) & v4_lattice3(C) & l3_lattices(C) & -v3_struct_0(C) -> -(A = u1_struct_0(C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> k1_funct_1(B,D) = k15_lattice3(C,D))))))))))) # label(t56_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11346 (all A all B (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k8_lattice3(A,B),u1_struct_0(k7_lattice3(A))))) # label(dt_k8_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11347 (all A (l1_orders_2(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,C,E) & r1_orders_2(A,B,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,C,D) & r1_orders_2(A,B,D) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v1_lattice3(A)))) # label(d10_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11348 (all A all B all C all D (-v3_struct_0(C) & v10_lattices(C) & v5_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & v4_lattice3(C) -> (r2_hidden(A,a_3_7_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(C)) & A = k4_lattices(C,D,E) & r2_hidden(E,B)))))) # label(fraenkel_a_3_7_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11349 (all A all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_lattice3(B))) -> (r3_lattice3(B,k5_lattice3(B,C),A) <-> r1_lattice3(k3_lattice3(B),A,C)))))) # label(t29_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11350 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) -> ((exists E (k4_lattices(B,C,E) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_2_lattice3(B,C,D))))) # label(fraenkel_a_3_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11351 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattice3(A,D,C) -> r3_lattices(A,D,B)))) <-> B = k16_lattice3(A,C))))))) # label(t34_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11352 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> m1_subset_1(k12_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k12_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11353 (all A all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r4_lattice3(B,C,A) <-> r2_lattice3(k3_lattice3(B),A,k4_lattice3(B,C))))))) # label(t30_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11354 (all A all B (v4_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_relat_2(B) & v1_relat_2(B) -> k4_relat_1(B) = k6_lattice3(A,B))) # label(redefinition_k6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11355 (all A v6_lattice3(k1_lattice3(A))) # label(t27_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11356 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> v2_orders_2(k3_lattice3(A)) & l1_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v1_orders_2(k3_lattice3(A)))) # label(dt_k3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11357 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (k3_lattice3(B) = k3_lattice3(A) -> g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))))) # label(t6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11358 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (r1_tarski(B,k1_zfmisc_1(u1_struct_0(A))) -> k15_lattice3(A,a_2_7_lattice3(A,B)) = k15_lattice3(A,k3_tarski(B)))))) # label(t49_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11359 (all A (l1_orders_2(A) -> (v1_lattice3(A) -> -v3_struct_0(A)))) # label(cc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11360 (all A all B all C all D (m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_3_lattice3(B,C,D)) <-> (exists E (r2_hidden(E,C) & A = k4_lattices(B,D,E) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_3_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11361 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v5_lattice3(A) <-> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,C,k15_lattice3(A,B)),k15_lattice3(A,a_3_3_lattice3(A,B,C)))))))) # label(t33_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11362 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C r3_lattices(A,k15_lattice3(A,a_3_2_lattice3(A,B,C)),k4_lattices(A,B,k15_lattice3(A,C)))))))) # label(t32_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11363 (all A (v2_orders_2(A) & v3_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (exists B (-v3_struct_0(B) & v3_lattices(B) & k3_lattice3(B) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) & l3_lattices(B) & v10_lattices(B))))) # label(t19_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11364 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_orders_2(k3_lattice3(A),k4_lattice3(A,B),k4_lattice3(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t7_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11365 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k9_filter_1(A) = k2_lattice3(A))) # label(redefinition_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11366 (all A all B (-v3_struct_0(A) & l3_lattices(A) -> m1_subset_1(k15_lattice3(A,B),u1_struct_0(A)))) # label(dt_k15_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11367 (all A (l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v3_orders_2(A) -> k11_lattice3(A,k11_lattice3(A,B,C),D) = k11_lattice3(A,B,k11_lattice3(A,C,D))))))))))) # label(t16_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11368 (all A (v2_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> -v3_struct_0(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)) & v5_lattices(k14_lattice3(A)) & v6_lattices(k14_lattice3(A)) & v8_lattices(k14_lattice3(A)) & v9_lattices(k14_lattice3(A)) & v4_lattice3(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & v7_lattices(k14_lattice3(A)) & v4_lattices(k14_lattice3(A)))) # label(fc7_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11369 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) -> m1_subset_1(k4_lattice3(A,B),u1_struct_0(k3_lattice3(A))))) # label(dt_k4_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11370 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & v10_lattices(B) -> (r2_hidden(A,a_2_6_lattice3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & (exists E (r3_lattices(B,E,D) & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B)))) & D = A))))) # label(fraenkel_a_2_6_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11371 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> k4_xboole_0(A,B) = k7_lattices(k1_lattice3(A),B))) # label(t5_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11372 (all A all B all C (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k11_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k11_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11373 (all A (v1_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v3_orders_2(A) -> k10_lattice3(A,B,k10_lattice3(A,C,D)) = k10_lattice3(A,k10_lattice3(A,B,C),D)))))))))) # label(t14_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11374 (all A all B (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(k7_lattice3(A))) -> m1_subset_1(k9_lattice3(A,B),u1_struct_0(A)))) # label(dt_k9_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11375 (all A all B all C (v4_orders_2(A) & v2_lattice3(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) -> k12_lattice3(A,C,B) = k12_lattice3(A,B,C))) # label(commutativity_k12_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11376 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (k15_lattice3(A,a_2_5_lattice3(A,B)) = k15_lattice3(A,B) & k16_lattice3(A,a_2_6_lattice3(A,B)) = k16_lattice3(A,B))))) # label(t47_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11377 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> r1_lattices(A,B,D)))))))))) # label(d16_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.02 11378 (all A (l1_orders_2(A) -> (v2_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (v3_lattices(B) & v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k3_lattice3(B) <-> k14_lattice3(A) = B)))))) # label(d15_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11379 (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,k4_lattices(A,C,D)) <-> r3_lattice3(A,B,k2_struct_0(A,C,D))))))))))) # label(t21_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11380 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) & r4_lattice3(A,B,C) -> B = k15_lattice3(A,C))))))) # label(t41_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11381 (all A (l1_orders_2(A) -> ((all B exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_lattice3(A,B,D) -> r1_orders_2(A,C,D)))) & r2_lattice3(A,B,C) & m1_subset_1(C,u1_struct_0(A)))) <-> v3_lattice3(A)))) # label(d12_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11382 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> l3_lattices(A) & k5_lattices(A) = k15_lattice3(A,k1_xboole_0) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A))) # label(t50_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11383 (all A v5_lattice3(k1_lattice3(A))) # label(t26_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11384 (all A (v2_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> C = k13_lattice3(A,k12_lattice3(A,B,C),C))))))) # label(t17_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11385 (all A (v3_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11386 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattice3(A,C,B) & r3_lattice3(A,E,a_3_1_lattice3(A,B,D)) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r3_lattice3(A,F,a_3_1_lattice3(A,B,D)) -> r1_lattices(A,F,E)))) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r3_lattice3(A,F,B) -> r1_lattices(A,F,C)))) -> r1_lattices(A,E,k1_lattices(A,D,C))))))))) <-> v6_lattice3(A)))) # label(d20_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11387 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k3_lattices(A,C,D),B) <-> r4_lattice3(A,B,k2_struct_0(A,C,D))))))))))) # label(t22_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11388 (all A all B all C all D (-v3_struct_0(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(A,a_3_0_lattice3(B,C,D)) <-> (exists E (r2_hidden(E,C) & k2_lattices(B,D,E) = A & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_0_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11389 (all A all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_lattice3(k3_lattice3(B),A,k4_lattice3(B,C)) <-> r3_lattice3(B,C,A)))))) # label(t28_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11390 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_partfun1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k2_lattice3(A)) & v4_relat_2(k2_lattice3(A)) & v1_relat_2(k2_lattice3(A)))) # label(dt_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11391 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,B,C) <-> r1_orders_2(k7_lattice3(A),k8_lattice3(A,C),k8_lattice3(A,B))))))))) # label(t9_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11392 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> v5_lattice3(A)))) # label(t53_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11393 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,D,B) -> r1_lattices(A,C,D)))) & r4_lattice3(A,C,B) & m1_subset_1(C,u1_struct_0(A)))) <-> v4_lattice3(A)))) # label(d18_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11394 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & v10_lattices(B) -> (r2_hidden(A,a_2_4_lattice3(B,C)) <-> (exists D (D = A & r3_lattices(B,C,D) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_4_lattice3) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11395 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (v6_group_1(A) & k2_nat_1(D,E) = C & C = k9_group_1(A) & k5_group_4(A,k1_struct_0(A,B)) = A -> E = k7_group_1(A,k6_group_1(A,D,B))))))))))))) # label(t14_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11396 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (v6_group_1(A) & k9_group_1(A) = np__2 -> (all B (m1_group_2(B,A) & v1_group_1(B) -> B = A | r1_group_2(A,B,k5_group_2(A))))))) # label(t26_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11397 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_group_1(B) & v3_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & -v3_struct_0(B) -> -(v6_group_1(B) & k9_group_1(B) = A & (all C (m1_subset_1(C,u1_struct_0(B)) -> -((all D (m1_subset_1(D,u1_struct_0(B)) -> (np__2 = k7_group_1(B,D) -> D = C))) & np__2 = k7_group_1(B,C)))) & (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = k2_nat_1(np__2,C)))))))) # label(t30_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11398 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) -> -v3_struct_0(k13_group_6(B,A,C)) & v3_group_1(k13_group_6(B,A,C)) & v1_gr_cy_1(k13_group_6(B,A,C)) & l1_group_1(k13_group_6(B,A,C)) & v4_group_1(k13_group_6(B,A,C))))))))) # label(t32_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11399 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(D = np__0 & B = k6_group_1(A,D,C) & -r1_xreal_0(k7_group_1(A,B),np__1)))))))))) # label(t6_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11400 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> (k5_group_4(A,k1_struct_0(A,B)) = A <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & k6_group_1(A,D,B) = C)))))))))) # label(t12_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11401 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_rlvect_1(k5_group_4(A,k1_struct_0(A,B)),B))))) # label(t8_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11402 (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_subset_1(B,u1_struct_0(A)) -> (A = k5_group_4(A,k1_struct_0(A,B)) & v6_group_1(A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_group_2(A,C,k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B))))))))))))) # label(t13_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11403 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (r2_group_6(A,B) -> -(-v3_struct_0(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & v3_group_1(B)) & -(v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & -v3_struct_0(A)) | v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & v3_group_1(A) & -v3_struct_0(A)))))) # label(t33_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11404 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> m2_subset_1(k1_gr_cy_2(A,B),k1_numbers,k5_numbers))) # label(dt_k1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11405 $T # label(t1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11406 $T # label(t4_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11407 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> -v3_struct_0(k10_group_5(A)) & v3_group_1(k10_group_5(A)) & v1_group_3(k10_group_5(A),A) & v4_group_1(k10_group_5(A)) & v2_group_1(k10_group_5(A)) & v1_group_1(k10_group_5(A)))) # label(fc1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11408 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (v6_group_1(A) & v6_group_1(B) & k9_group_1(B) = np__2 & k9_group_1(A) = np__2 -> r2_group_6(A,B)))))) # label(t25_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11409 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & v1_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (v6_group_1(C) & k9_group_1(C) = A & k5_group_4(C,k1_struct_0(C,D)) = C -> (k6_nat_1(B,A) = np__1 <-> k5_group_4(C,k1_struct_0(C,k6_group_1(C,B,D))) = C)))))))))) # label(t18_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11410 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> k5_group_4(A,k1_struct_0(A,C)) = k5_group_4(B,k1_struct_0(B,D))))))))))) # label(t9_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11411 (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) & v1_gr_cy_1(B) & v1_group_1(B) -> -((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & A = k2_nat_1(np__2,C))) & (all C (m1_group_2(C,B) -> -(v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & v1_gr_cy_1(C) & -v3_struct_0(C) & np__2 = k9_group_1(C)))) & k9_group_1(B) = A & v6_group_1(B)))))) # label(t31_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11412 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (k9_group_1(B) = k9_group_1(A) & v6_group_1(A) & v6_group_1(B) -> r2_group_6(B,A)))))) # label(t23_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11413 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_nat_1(C,D) -> r1_rlvect_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k6_group_1(A,D,B))))))))))) # label(t15_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11414 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) & v1_group_1(C) -> (v6_group_1(C) & A = k9_group_1(B) & v1_int_2(A) & A = k9_group_1(C) & v6_group_1(B) -> r2_group_6(B,C)))))))) # label(t24_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11415 $T # label(t3_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11416 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k9_group_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B)))) = k9_group_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B)))) & r1_rlvect_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k6_group_1(A,D,B)) & v6_group_1(A) -> r1_group_2(A,k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B))))))))))))) # label(t16_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11417 $T # label(t2_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11418 (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)) -> -v3_struct_0(k5_group_4(A,k1_struct_0(A,B))) & v3_group_1(k5_group_4(A,k1_struct_0(A,B))) & v1_gr_cy_1(k5_group_4(A,k1_struct_0(A,B))) & l1_group_1(k5_group_4(A,k1_struct_0(A,B))) & v4_group_1(k5_group_4(A,k1_struct_0(A,B))))))) # label(t10_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11419 $T # label(t7_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11420 (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) & v1_group_1(B) -> (v6_group_1(B) & v4_group_1(B) & k9_group_1(B) = A & l1_group_1(B) & v1_gr_cy_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r1_nat_1(C,A) & (all D (m1_group_2(D,B) & v1_group_1(D) -> -(k9_group_1(D) = C & (all E (v1_group_1(E) & m1_group_2(E,B) -> (k9_group_1(E) = C -> r1_group_2(B,E,D))))))))))))))) # label(t28_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11421 (all A (v3_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k5_group_4(A,k1_struct_0(A,B)) = A -> (v6_group_1(A) <-> (exists C (v1_int_1(C) & (exists D (v1_int_1(D) & D != C & k6_group_1(A,D,B) = k6_group_1(A,C,B))))))))))) # label(t20_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11422 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) & k9_group_1(A) = np__2 -> -v3_struct_0(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & v3_group_1(A)))) # label(t27_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11423 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k6_group_1(A,D,B) = C & v1_int_1(D))))) <-> k5_group_4(A,k1_struct_0(A,B)) = A))))) # label(t11_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11424 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v3_group_1(B) -> (v6_group_1(B) & A = k9_group_1(B) -> r2_group_6(k5_gr_cy_1(A),B)))))) # label(t21_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11425 (all A (-v3_struct_0(A) & v1_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (-v6_group_1(A) -> r2_group_6(k3_gr_cy_1,A)))) # label(t22_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11426 (all A (-v3_struct_0(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k5_group_4(A,k1_struct_0(A,B)) = A -> (all C (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(C),u1_struct_0(A)) & v1_group_6(D,C,A) & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A)) -> (r1_rlvect_1(k13_group_6(C,A,D),B) -> v3_group_6(D,C,A))))))))))) # label(t29_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11427 $T # label(t5_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11428 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> (all B (m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> B = k1_gr_cy_2(A,B)))))) # label(d1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11429 (all A (-v3_struct_0(A) & v3_group_1(A) & v1_gr_cy_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)) -> (A = k5_group_4(A,k1_struct_0(A,C)) & r1_rlvect_1(B,C) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))))) # label(t19_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11430 (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,u1_struct_0(A)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (D = k9_group_1(A) & B = k5_group_4(A,k1_struct_0(A,k6_group_1(A,F,C))) & k9_group_1(B) = E & A = k5_group_4(A,k1_struct_0(A,C)) & v6_group_1(A) -> r1_nat_1(D,k2_nat_1(F,E))))))))))))))) # label(t17_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11431 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (r2_nattra_1(A,B,D,E) -> (all G (m2_nattra_1(G,A,B,D,E) -> k5_relat_1(G,F) = k6_isocat_1(A,B,C,D,E,G,F)))))))))))))))) # label(t35_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11432 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B all C r1_isocat_1(k12_nattra_1(k8_cat_1(B,C),A),A)))) # label(t11_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11433 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & m2_nattra_1(F,A,k11_cat_2(B,C),D,E) & m2_cat_1(E,A,k11_cat_2(B,C)) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k14_isocat_2(A,B,C,D,E,F),A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)))) # label(dt_k14_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11434 (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(k12_nattra_1(A,B))) <-> m2_cat_1(C,A,B))))))) # label(t8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11435 (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(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k6_cat_1(B,E,F) != k1_xboole_0 & k6_cat_1(A,C,D) != k1_xboole_0 <-> k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) != k1_xboole_0))))))))))))) # label(t13_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11436 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> r2_hidden(k8_funct_2(A,B,D,C),k2_relat_1(D)))))))))) # label(t4_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11437 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k7_nattra_1(A,B,k11_isocat_2(A,B,C,D)),k13_isocat_2(A,B,C,D,D,k7_nattra_1(A,k11_cat_2(B,C),D))) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_nattra_1(A,C,k12_isocat_2(A,B,C,D)),k14_isocat_2(A,B,C,D,D,k7_nattra_1(A,k11_cat_2(B,C),D))))))))))) # label(t40_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11438 (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,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_nattra_1(F,A,k11_cat_2(B,C),D,E) -> k14_isocat_2(A,B,C,D,E,F) = k6_isocat_1(A,k11_cat_2(B,C),C,D,E,F,k9_isocat_2(B,C)))))))))))))) # label(d10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11439 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),D,E) -> r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)) & r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E))))))))))))) # label(t38_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11440 (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) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(B) -> m2_cat_1(k10_isocat_2(A,B,C,D,E),A,k11_cat_2(B,C)))) # label(dt_k10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11441 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,C,F,G) & r2_nattra_1(A,B,D,E) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> k15_isocat_2(A,B,C,D,E,F,G,H,I) = k16_isocat_2(A,B,C,D,E,F,G,H,I)))))))))))))))))))) # label(d12_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11442 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k9_isocat_2(A,B),k11_cat_2(A,B),B))) # label(dt_k9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11443 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))) # label(t49_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11444 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> m2_nattra_1(k1_funct_1(k3_funct_5(F),G),B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G)) & r2_nattra_1(B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G))))))))))))))))) # label(t15_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11445 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> v8_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))))))) # label(t33_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11446 (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,k1_fraenkel(B,C)) & m2_relset_1(D,A,k1_fraenkel(B,C)) -> r4_nattra_1(A,k1_fraenkel(B,C),A,k1_fraenkel(B,C),k2_cat_2(A,B,C,k1_isocat_2(A,B,C,D)),D))))))))) # label(t1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11447 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> k3_isocat_2(A,B,C,D,E) = k1_funct_1(k3_funct_5(D),E))))))))))) # label(d2_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11448 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k1_tarski(A),B) & m2_relset_1(C,k1_tarski(A),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,k1_tarski(A),B) & v1_funct_2(D,k1_tarski(A),B) & v1_funct_1(D) -> (k1_funct_1(D,A) = k1_funct_1(C,A) -> r4_nattra_1(k1_tarski(A),B,k1_tarski(A),B,C,D)))))))) # label(t3_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11449 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k12_cat_2(B,C,k13_cat_1(A,B,D,F),k13_cat_1(A,C,E,F)) = k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,E),F))))))))))))) # label(t43_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11450 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> (all F (m2_nattra_1(F,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> r2_nattra_1(k11_cat_2(A,B),C,D,E) & (exists G (r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),F,k6_isocat_2(A,B,C,D,E,G)) & m2_nattra_1(G,k11_cat_2(A,B),C,D,E)))))))))))))))) # label(t32_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11451 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,C,F,G) & r2_nattra_1(A,B,D,E) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k16_isocat_2(A,B,C,D,E,F,G,H,I)),H) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k16_isocat_2(A,B,C,D,E,F,G,H,I)),I)))))))))))))))))))) # label(t47_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11452 $T # label(t23_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11453 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> ((all H (v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_1(H) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I) = k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I))))))) <-> G = k6_isocat_2(A,B,C,D,E,F))))))))))))))))) # label(d5_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11454 (all A all B all C all D all E (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(C) & m1_subset_1(E,u2_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & v2_cat_1(C) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_1(k3_isocat_2(A,B,C,D,E)) & m2_relset_1(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)) & v1_funct_2(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)))) # label(dt_k3_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11455 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & l1_cat_1(C) & l1_cat_1(A) -> m2_cat_1(k12_isocat_2(A,B,C,D),A,C))) # label(dt_k12_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11456 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> (all H (m1_subset_1(H,u2_cat_1(B)) -> (r2_hidden(G,k6_cat_1(A,C,D)) & r2_hidden(H,k6_cat_1(B,E,F)) -> r2_hidden(k13_cat_2(A,B,G,H),k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)))))))))))))))))))) # label(t16_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11457 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k4_cat_1(A,k10_cat_1(A,k2_cat_1(A,B)),B))))) # label(t7_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11458 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,E,k10_cat_1(B,F))) = k5_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),k4_isocat_2(A,B,C,D,E),F))))))))))))) # label(t19_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11459 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & v2_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k11_isocat_2(A,B,C,D),A,B))) # label(dt_k11_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11460 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,E,F),k6_isocat_2(A,B,C,D,E,G)) -> r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),F,G))))))))))))))))) # label(t30_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11461 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> m2_cat_1(k8_isocat_2(A,B),k11_cat_2(A,B),A))) # label(dt_k8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11462 (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)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k7_nattra_1(B,C,k14_cat_2(A,B,C,D,E)),k4_isocat_2(A,B,C,D,k10_cat_1(A,E))))))))))))) # label(t20_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11463 (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(D,A,B) & m2_cat_1(E,A,C) & v2_cat_1(C) -> k10_isocat_2(A,B,C,D,E) = k13_funct_3(D,E))) # label(redefinition_k10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11464 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_nattra_1(F,A,k11_cat_2(B,C),D,E) & m2_cat_1(E,A,k11_cat_2(B,C)) & m2_cat_1(D,A,k11_cat_2(B,C)) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> m2_nattra_1(k13_isocat_2(A,B,C,D,E,F),A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)))) # label(dt_k13_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11465 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) & r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (all H (m2_nattra_1(H,k11_cat_2(A,B),C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,F,k8_nattra_1(k11_cat_2(A,B),C,D,E,F,G,H)),k8_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F),k6_isocat_2(A,B,C,D,E,G),k6_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t29_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.16/146.03 11466 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,k2_zfmisc_1(B,C)) & m2_relset_1(E,A,k2_zfmisc_1(B,C)) -> (r4_nattra_1(A,C,A,C,k7_funct_2(A,k2_zfmisc_1(B,C),C,D,k10_funct_3(B,C)),k7_funct_2(A,k2_zfmisc_1(B,C),C,E,k10_funct_3(B,C))) & r4_nattra_1(A,B,A,B,k7_funct_2(A,k2_zfmisc_1(B,C),B,D,k9_funct_3(B,C)),k7_funct_2(A,k2_zfmisc_1(B,C),B,E,k9_funct_3(B,C))) -> r4_nattra_1(A,k2_zfmisc_1(B,C),A,k2_zfmisc_1(B,C),D,E)))))))))))) # label(t5_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11467 (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(A)) -> (k6_cat_1(A,E,F) != k1_xboole_0 -> (all G (m1_cat_1(G,A,E,F) -> m2_nattra_1(k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,G)),B,C,k14_cat_2(A,B,C,D,E),k14_cat_2(A,B,C,D,F)) & r2_nattra_1(B,C,k14_cat_2(A,B,C,D,E),k14_cat_2(A,B,C,D,F))))))))))))))))) # label(t17_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11468 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (all G (m2_cat_1(G,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),D,E) & r2_nattra_1(A,k11_cat_2(B,C),F,G) -> (all H (m2_nattra_1(H,A,k11_cat_2(B,C),D,E) -> (all I (m2_nattra_1(I,A,k11_cat_2(B,C),F,G) -> (r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,D,E,H),k14_isocat_2(A,B,C,F,G,I)) & r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,D,E,H),k13_isocat_2(A,B,C,F,G,I)) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k11_cat_2(B,C)),u1_cat_1(A),u2_cat_1(k11_cat_2(B,C)),H,I))))))))))))))))))))) # label(t39_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11469 (all A all B (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) -> k17_cat_2(A,B) = k9_isocat_2(A,B))) # label(redefinition_k9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11470 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) -> r2_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G))))))))))))))))) # label(t46_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11471 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> k4_isocat_2(A,B,C,D,E) = k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,E)))))))))))) # label(d3_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11472 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),E,F) & r2_nattra_1(A,k11_cat_2(B,C),D,E) -> (all G (m2_nattra_1(G,A,k11_cat_2(B,C),D,E) -> (all H (m2_nattra_1(H,A,k11_cat_2(B,C),E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,D,F,k8_nattra_1(A,k11_cat_2(B,C),D,E,F,G,H)),k8_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E),k12_isocat_2(A,B,C,F),k14_isocat_2(A,B,C,D,E,G),k14_isocat_2(A,B,C,E,F,H))) & r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,D,F,k8_nattra_1(A,k11_cat_2(B,C),D,E,F,G,H)),k8_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E),k11_isocat_2(A,B,C,F),k13_isocat_2(A,B,C,D,E,G),k13_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t41_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11473 (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(k12_nattra_1(A,B))) -> (exists D ((exists E ((exists F (r2_nattra_1(A,B,D,E) & D = k2_cat_1(k12_nattra_1(A,B),C) & C = k4_tarski(k4_tarski(D,E),F) & E = k3_cat_1(k12_nattra_1(A,B),C) & m2_nattra_1(F,A,B,D,E))) & m2_cat_1(E,A,B))) & m2_cat_1(D,A,B))))))))) # label(t9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11474 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))) # label(t48_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11475 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(D) & v1_funct_2(D,A,k1_fraenkel(B,C)) & m1_relset_1(D,A,k1_fraenkel(B,C)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k4_funct_5(D) = k1_isocat_2(A,B,C,D))) # label(redefinition_k1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11476 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k13_cat_1(B,C,k14_cat_2(A,B,C,D,E),F) = k13_cat_1(k11_cat_2(A,B),C,D,k12_cat_2(A,B,E,F)))))))))))))) # label(t12_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11477 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) & r4_nattra_1(u2_cat_1(A),u2_cat_1(C),u2_cat_1(A),u2_cat_1(C),k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(k11_cat_2(B,C)),u2_cat_1(A),u2_cat_1(k11_cat_2(B,C)),D,E)))))))))))) # label(t37_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11478 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,A,k12_nattra_1(B,C)) -> (k5_isocat_2(A,B,C,D) = E <-> (all F (m1_subset_1(F,u2_cat_1(A)) -> k4_tarski(k4_tarski(k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k3_cat_1(A,F))),k4_isocat_2(A,B,C,D,F)) = k8_funct_2(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),E,F)))))))))))))) # label(d4_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11479 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k3_cat_1(A,F) = k2_cat_1(A,E) -> (all G (m2_nattra_1(G,B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E))) -> (r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),G,k4_isocat_2(A,B,C,D,F)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k4_isocat_2(A,B,C,D,k4_cat_1(A,F,E)),k8_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),G,k4_isocat_2(A,B,C,D,E))))))))))))))))))) # label(t21_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11480 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,F,G) -> (all H (m1_cat_1(H,A,F,G) -> k13_cat_2(B,C,k3_nattra_1(A,B,D,F,G,H),k3_nattra_1(A,C,E,F,G,H)) = k3_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,E),F,G,H)))))))))))))))))) # label(t42_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11481 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_nattra_1(F,A,k11_cat_2(B,C),D,E) -> k13_isocat_2(A,B,C,D,E,F) = k6_isocat_1(A,k11_cat_2(B,C),B,D,E,F,k8_isocat_2(B,C)))))))))))))) # label(d9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11482 (all A all B all C all D all E all F all G all H all I (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(F,A,C) & m2_nattra_1(H,A,B,D,E) & m2_nattra_1(I,A,C,F,G) & m2_cat_1(G,A,C) & m2_cat_1(E,A,B) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) -> m2_nattra_1(k16_isocat_2(A,B,C,D,E,F,G,H,I),A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G)))) # label(dt_k16_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11483 $T # label(t22_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11484 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,k1_fraenkel(B,C)) & v1_funct_2(D,A,k1_fraenkel(B,C)) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),D,E),F) = k1_funct_1(k1_isocat_2(A,B,C,D),k4_tarski(E,F)))))))))))))) # label(t2_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11485 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k5_isocat_2(A,B,C,D),A,k12_nattra_1(B,C)))) # label(dt_k5_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11486 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & (exists G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I)) = k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I))))))))))))))))))))) # label(t27_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11487 (all A all B all C (v2_cat_1(A) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k2_isocat_2(A,B,C),k12_nattra_1(A,B),B))) # label(dt_k2_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11488 (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,k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) -> (k17_isocat_2(A,B,C) = D <-> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),E,F) -> (all G (m2_nattra_1(G,A,k11_cat_2(B,C),E,F) -> k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)) = k4_tarski(k4_tarski(k4_tarski(k11_isocat_2(A,B,C,E),k11_isocat_2(A,B,C,F)),k13_isocat_2(A,B,C,E,F,G)),k4_tarski(k4_tarski(k12_isocat_2(A,B,C,E),k12_isocat_2(A,B,C,F)),k14_isocat_2(A,B,C,E,F,G))))))))))))))))))) # label(d13_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11489 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(C),u2_cat_1(A),u2_cat_1(C),k12_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,E)),E) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k11_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,E)),D))))))))))) # label(t36_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11490 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))) # label(dt_k7_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.03 11491 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> r4_nattra_1(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,E)))))))))))) # label(t26_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11492 $T # label(t10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11493 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & m2_cat_1(E,k11_cat_2(A,B),C) & m2_nattra_1(F,k11_cat_2(A,B),C,D,E) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k6_isocat_2(A,B,C,D,E,F),A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)))) # label(dt_k6_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11494 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k14_cat_2(A,B,C,D,E) = k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E))))))))))) # label(t24_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11495 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> k12_isocat_2(A,B,C,D) = k2_isocat_1(A,k11_cat_2(B,C),C,D,k9_isocat_2(B,C)))))))))) # label(d8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11496 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) -> ((all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,E,F) -> k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)) = k4_tarski(k4_tarski(k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F)),k6_isocat_2(A,B,C,E,F,G))))))))) <-> D = k7_isocat_2(A,B,C)))))))))) # label(d6_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11497 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))))))))))) # label(t18_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11498 (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)) -> m2_cat_1(k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E),B,C))))))))))) # label(t25_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11499 (all A all B all C (v2_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))) # label(dt_k17_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11500 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_2(D,A,k1_fraenkel(B,C)) & m1_relset_1(D,A,k1_fraenkel(B,C)) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> v1_funct_1(k1_isocat_2(A,B,C,D)) & m2_relset_1(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C) & v1_funct_2(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C))) # label(dt_k1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11501 (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,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> (all J (m1_subset_1(J,u1_cat_1(A)) -> k5_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k15_isocat_2(A,B,C,D,E,F,G,H,I),J) = k13_cat_2(B,C,k5_nattra_1(A,B,D,E,H,J),k5_nattra_1(A,C,F,G,I,J))))))))))))))))))))))) # label(t45_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11502 (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(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) != k1_xboole_0 -> (all G (m1_subset_1(G,u2_cat_1(A)) -> (all H (m1_subset_1(H,u2_cat_1(B)) -> (m1_cat_1(k13_cat_2(A,B,G,H),k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) <-> m1_cat_1(G,A,C,D) & m1_cat_1(H,B,E,F))))))))))))))))))) # label(t14_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11503 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> r1_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G))))))))))))))))) # label(t44_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11504 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m1_subset_1(E,u2_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & l1_cat_1(A) -> m2_nattra_1(k4_isocat_2(A,B,C,D,E),B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))) # label(dt_k4_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11505 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> k11_isocat_2(A,B,C,D) = k2_isocat_1(A,k11_cat_2(B,C),B,D,k8_isocat_2(B,C)))))))))) # label(d7_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11506 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k7_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D)),k6_isocat_2(A,B,C,D,D,k7_nattra_1(k11_cat_2(A,B),C,D))))))))))) # label(t28_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11507 (all A all B all C all D all E all F all G all H all I (l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(E,A,B) & m1_nattra_1(H,A,B,D,E) & m1_nattra_1(I,A,C,F,G) & m2_cat_1(G,A,C) & m2_cat_1(F,A,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(A) -> m1_nattra_1(k15_isocat_2(A,B,C,D,E,F,G,H,I),A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G)))) # label(dt_k15_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11508 (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) -> r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))))))) # label(t34_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11509 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k12_nattra_1(B,C)) -> (exists E (r4_nattra_1(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),D,k5_isocat_2(A,B,C,E)) & m2_cat_1(E,k11_cat_2(A,B),C))))))))))) # label(t31_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11510 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k4_cat_1(A,B,k10_cat_1(A,k3_cat_1(A,B))))))) # label(t6_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11511 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> k16_cat_2(A,B) = k8_isocat_2(A,B))) # label(redefinition_k8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11512 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> k15_isocat_2(A,B,C,D,E,F,G,H,I) = k14_funct_3(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),H,I)))))))))))))))))))) # label(d11_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11513 (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 (m2_cat_1(D,k12_nattra_1(A,B),B) -> (D = k2_isocat_2(A,B,C) <-> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> (r2_nattra_1(A,B,E,F) -> k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)) = k5_nattra_1(A,B,E,F,G,C))))))))))))))))) # label(d1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11514 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tdlat_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_tdlat_1(A)))) -> (B = C -> (k1_xboole_0 != C -> k1_tops_1(A,k6_setfam_1(u1_struct_0(A),B)) = k16_lattice3(k4_tdlat_1(A),C)) & (C = k1_xboole_0 -> k2_pre_topc(A) = k16_lattice3(k4_tdlat_1(A),C)))))))))) # label(t50_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11515 (exists A (-v3_struct_0(A) & v2_tdlat_3(A) & v1_tdlat_3(A) & v1_pre_topc(A) & l1_pre_topc(A))) # label(rc1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11516 (all A (v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & -v3_struct_0(B) -> v4_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc14_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11517 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) -> v3_tdlat_3(A)))) # label(cc4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11518 (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) & r1_tarski(k6_pre_topc(A,k1_tops_1(A,B)),k1_tops_1(A,k6_pre_topc(A,B))) -> v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(t10_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11519 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v3_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,B) = B)))))) # label(t25_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11520 (exists A (l1_pre_topc(A) & v3_tdlat_3(A) & v1_pre_topc(A))) # label(rc2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11521 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v1_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v4_pre_topc(B,A)))))) # label(t18_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11522 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v3_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> v3_pre_topc(B,A))))))) # label(t24_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11523 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_tdlat_1(A)) -> (all C (m1_subset_1(C,k1_tdlat_1(A)) -> k1_binop_1(k2_tdlat_1(A),B,C) = k2_xboole_0(B,C) & k1_binop_1(k3_tdlat_1(A),B,C) = k3_xboole_0(B,C))))))) # label(t47_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11524 (all A (l1_pre_topc(A) -> (v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v5_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A)))) # label(cc13_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11525 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B)) = k3_subset_1(u1_struct_0(A),k1_tops_1(A,B)))))) # label(t3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11526 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) -> v3_tdlat_3(A)))) # label(cc3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11527 (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,u1_struct_0(A)) -> (B = k1_tarski(C) -> v3_pre_topc(B,A)))))) -> v1_tdlat_3(A)))) # label(t19_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11528 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k6_pre_topc(A,k1_tops_1(A,B)) = k6_pre_topc(A,B) & k1_tops_1(A,k6_pre_topc(A,B)) = k1_tops_1(A,B)))))) # label(t11_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11529 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) -> v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc10_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11530 (all A (-v3_struct_0(A) & v4_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v2_pre_topc(B) & v4_tdlat_3(B) & v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc10_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11531 (all A (v2_tdlat_3(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)) -> r2_hidden(k4_xboole_0(u1_struct_0(A),B),u1_pre_topc(A))))))) # label(t15_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11532 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> v4_pre_topc(k1_tops_1(A,B),A))))))) # label(t29_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11533 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & v3_tdlat_3(A) & v2_tdlat_3(A) & v1_pre_topc(A))) # label(rc3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11534 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_tdlat_3(A) -> k2_tdlat_1(A) = k10_tdlat_1(A) & k11_tdlat_1(A) = k3_tdlat_1(A))) # label(t45_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11535 (all A (v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r2_hidden(k4_xboole_0(u1_struct_0(A),B),u1_pre_topc(A)))))) # label(t14_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11536 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) & v2_tdlat_3(A) -> k2_tarski(k1_xboole_0,u1_struct_0(A)) = k1_pcomps_1(u1_struct_0(A))))) # label(t12_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11537 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v1_tdlat_3(A) <-> v3_tdlat_3(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_tarski(C) = B -> v4_pre_topc(B,A))))))))) # label(t28_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11538 (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))) -> (v3_pre_topc(B,A) -> v3_pre_topc(k6_pre_topc(A,B),A)))) <-> v4_tdlat_3(A)))) # label(d4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11539 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v2_tdlat_3(A) -> v3_tdlat_3(A) & v2_pre_topc(A)))) # label(cc8_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11540 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> v1_borsuk_1(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_tsep_1(B,A) & v2_pre_topc(B))))) # label(cc5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11541 (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) -> k6_pre_topc(A,B) = k1_tops_1(A,k6_pre_topc(A,B))))) <-> v4_tdlat_3(A)))) # label(t32_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11542 (all A (-v3_struct_0(A) & v5_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (-v3_struct_0(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_pre_topc(B) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc11_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11543 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (k4_tdlat_1(A) = k12_tdlat_1(A) -> v4_tdlat_3(A)))) # label(t53_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11544 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) -> v2_pre_topc(A)))) # label(cc2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11545 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != B & B != u1_struct_0(A) & v3_pre_topc(B,A)))) <-> v2_tdlat_3(A)))) # label(t20_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11546 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_tdlat_3(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(C,A) & C = u1_struct_0(B) -> v4_tdlat_3(B)))))))) # label(t39_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11547 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> v3_pre_topc(B,A) & v4_pre_topc(B,A))))))) # label(t34_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11548 (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),B,C) = u1_struct_0(A) -> (v4_pre_topc(C,A) -> k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),C) = u1_struct_0(A)) & (v4_pre_topc(B,A) -> k4_subset_1(u1_struct_0(A),B,k1_tops_1(A,C)) = u1_struct_0(A))))))))) # label(t6_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11549 (all A (l1_pre_topc(A) -> (u1_pre_topc(A) = k1_pcomps_1(u1_struct_0(A)) <-> v1_tdlat_3(A)))) # label(d1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11550 (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) -> B = k1_tops_1(A,B)))) <-> v3_tdlat_3(A)))) # label(t26_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11551 (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))) -> (v4_tops_1(B,A) -> v5_tops_1(B,A) & v6_tops_1(B,A)))) <-> v4_tdlat_3(A)))) # label(t35_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11552 $T # label(t1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11553 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,k3_subset_1(u1_struct_0(A),B)) = k3_subset_1(u1_struct_0(A),k6_pre_topc(A,B)))))) # label(t4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11554 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v10_lattices(k4_tdlat_1(A)) & l3_lattices(k4_tdlat_1(A)) & v17_lattices(k4_tdlat_1(A)) & -v3_struct_0(k4_tdlat_1(A)) <-> v4_tdlat_3(A)))) # label(t55_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11555 (all A (v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k9_tdlat_1(A) = k1_tdlat_1(A))) # label(t44_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11556 (all A (v5_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc15_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11557 (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))) -> (v6_tops_1(B,A) -> v5_tops_1(B,A)) & (v5_tops_1(B,A) -> v6_tops_1(B,A)))) <-> v4_tdlat_3(A)))) # label(t38_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11558 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (k1_pcomps_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) -> v2_tdlat_3(A) & v1_tdlat_3(A)))) # label(t16_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11559 $T # label(t5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11560 (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))) -> (v4_tops_1(B,A) -> k6_pre_topc(A,B) = k1_tops_1(A,B)))) <-> v4_tdlat_3(A)))) # label(t37_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11561 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k6_pre_topc(A,B) = k1_tops_1(A,B) <-> v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(t7_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11562 (all A (v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (v2_pre_topc(B) & v2_tdlat_3(B) & v3_tdlat_3(B) & m1_pre_topc(B,A))))) # label(rc5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11563 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & r1_xboole_0(B,C) & v3_pre_topc(C,A) -> r1_xboole_0(k6_pre_topc(A,B),k6_pre_topc(A,C)))))))))) # label(t30_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11564 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v3_tdlat_3(B) & v2_pre_topc(B) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc7_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11565 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A)))))) # label(cc11_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11566 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v5_tdlat_3(A) <-> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> v4_tdlat_3(B)))))) # label(d5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11567 (exists A (v1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc8_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11568 (exists A (l1_pre_topc(A) & v1_pre_topc(A) & v2_pre_topc(A) & v5_tdlat_3(A) & -v3_struct_0(A))) # label(rc9_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11569 (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))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) -> u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C))))))) <-> v4_tdlat_3(A)))) # label(t31_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11570 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> v3_tdlat_3(B) & v2_tdlat_3(B) & v2_pre_topc(B))))) # label(cc6_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11571 (all A (l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> v3_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc9_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11572 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tdlat_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_tdlat_1(A)))) -> (C = B -> k15_lattice3(k4_tdlat_1(A),C) = k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)))))))))) # label(t49_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11573 (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) & v3_pre_topc(B,A) -> k1_tops_1(A,k6_pre_topc(A,B)) = k6_pre_topc(A,k1_tops_1(A,B))))))) # label(t8_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11574 (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) -> v4_pre_topc(B,A)))) <-> v3_tdlat_3(A)))) # label(t23_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11575 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (k8_tdlat_1(A) = k4_tdlat_1(A) -> v4_tdlat_3(A)))) # label(t52_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11576 (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,u1_struct_0(A)) -> (k1_tarski(C) = B -> v3_pre_topc(k6_pre_topc(A,B),A)))))) -> v3_tdlat_3(A)))) # label(t27_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11577 (all A (l1_pre_topc(A) -> (r2_hidden(u1_struct_0(A),u1_pre_topc(A)) & k1_pcomps_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) & r2_hidden(k1_xboole_0,u1_pre_topc(A)) -> v2_tdlat_3(A) & v1_tdlat_3(A)))) # label(t13_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11578 (all A (v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k12_tdlat_1(A) = k4_tdlat_1(A))) # label(t46_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11579 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) -> v2_pre_topc(A)))) # label(cc1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11580 (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))) -> (v4_pre_topc(B,A) -> k6_pre_topc(A,k1_tops_1(A,B)) = k1_tops_1(A,B)))) <-> v4_tdlat_3(A)))) # label(t33_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11581 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) -> k4_tdlat_1(A) = k8_tdlat_1(A))) # label(t43_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11582 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> v4_tdlat_3(B))) -> v5_tdlat_3(A)))) # label(t40_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11583 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (k8_tdlat_1(A) = k12_tdlat_1(A) -> v4_tdlat_3(A)))) # label(t54_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11584 (all A (-v3_struct_0(A) & v4_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(k4_tdlat_1(A))) -> (all C (m1_subset_1(C,u1_struct_0(k4_tdlat_1(A))) -> (all D (m1_subset_1(D,k1_tdlat_1(A)) -> (all E (m1_subset_1(E,k1_tdlat_1(A)) -> (E = C & B = D -> k3_lattices(k4_tdlat_1(A),B,C) = k2_xboole_0(D,E) & k3_xboole_0(D,E) = k4_lattices(k4_tdlat_1(A),B,C)))))))))))) # label(t48_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11585 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_tdlat_3(A) -> k7_tdlat_1(A) = k3_tdlat_1(A) & k6_tdlat_1(A) = k2_tdlat_1(A))) # label(t42_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11586 (all A (l1_pre_topc(A) -> (u1_pre_topc(A) = k2_tarski(k1_xboole_0,u1_struct_0(A)) <-> v2_tdlat_3(A)))) # label(d2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11587 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(k6_pre_topc(A,k1_tops_1(A,B)),k1_tops_1(A,k6_pre_topc(A,B))) & v4_tops_1(B,A) -> v5_tops_1(B,A) & v6_tops_1(B,A)))))) # label(t9_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11588 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k6_pre_topc(A,k1_tops_1(A,B)) = k1_tops_1(A,k6_pre_topc(A,B)))))))) # label(t36_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11589 (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,u1_struct_0(A)) -> (k1_tarski(C) = B -> u1_struct_0(A) = k6_pre_topc(A,B)))))) -> v2_tdlat_3(A)))) # label(t22_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11590 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v2_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(B != k1_xboole_0 & B != u1_struct_0(A) & v4_pre_topc(B,A))))))) # label(t21_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11591 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v1_tdlat_3(A) -> v2_pre_topc(A) & v3_tdlat_3(A)))) # label(cc7_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11592 (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)) -> r2_hidden(k4_xboole_0(u1_struct_0(A),B),u1_pre_topc(A))))) <-> v3_tdlat_3(A)))) # label(d3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11593 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k3_subset_1(u1_struct_0(A),k1_tops_1(A,k3_subset_1(u1_struct_0(A),B))))))) # label(t2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11594 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v5_tdlat_3(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v4_tdlat_3(A) & v2_pre_topc(A)))) # label(cc12_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11595 (all A (v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B))))) # label(rc4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11596 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) -> k1_tdlat_1(A) = k5_tdlat_1(A))) # label(t41_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11597 (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))) <-> v1_tdlat_3(A)))) # label(t17_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11598 (exists A (v3_tdlat_3(A) & v2_pre_topc(A) & v1_pre_topc(A) & l1_pre_topc(A))) # label(rc6_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11599 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (-v3_struct_0(k4_tdlat_1(A)) & v10_lattices(k4_tdlat_1(A)) & v12_lattices(k4_tdlat_1(A)) & l3_lattices(k4_tdlat_1(A)) <-> v4_tdlat_3(A)))) # label(t51_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11600 (all A all B (m1_subset_1(B,k4_partfun1(k13_finseq_1(A),A)) & -v1_xboole_0(A) -> m2_finseq_1(k1_unialg_1(A,B),k4_partfun1(k13_finseq_1(A),A)))) # label(dt_k1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11601 (exists A (-v3_struct_0(A) & v7_unialg_1(A) & v8_unialg_1(A) & v6_unialg_1(A) & v3_unialg_1(A) & l1_unialg_1(A))) # label(rc5_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11602 (exists A (v3_unialg_1(A) & -v3_struct_0(A) & l1_unialg_1(A))) # label(rc3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11603 (exists A l1_unialg_1(A)) # label(existence_l1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11604 (all A (l1_unialg_1(A) -> (v4_unialg_1(u1_unialg_1(A),u1_struct_0(A)) <-> v6_unialg_1(A)))) # label(d7_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11605 (all A (-v3_struct_0(A) & v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) -> m2_finseq_1(k3_unialg_1(A),k5_numbers))) # label(dt_k3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11606 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v6_unialg_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k4_finseq_1(u1_unialg_1(A))) -> v1_funct_1(k1_funct_1(u1_unialg_1(A),B)) & m2_relset_1(k1_funct_1(u1_unialg_1(A),B),k13_finseq_1(u1_struct_0(A)),u1_struct_0(A))))))) # label(t5_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11607 (all A all B (m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) & -v1_xboole_0(A) -> v3_unialg_1(g1_unialg_1(A,B)) & -v3_struct_0(g1_unialg_1(A,B)))) # label(fc1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11608 $T # label(d6_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11609 (all A all B (v1_funct_1(B) & m2_relset_1(B,k13_finseq_1(A),A) -> ((all C (m2_finseq_1(C,A) -> (all D (m2_finseq_1(D,A) -> (r2_hidden(C,k1_relat_1(B)) & k3_finseq_1(D) = k3_finseq_1(C) -> r2_hidden(D,k1_relat_1(B))))))) <-> v2_unialg_1(B,A)))) # label(d2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11610 (all A (v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,k5_numbers) -> (k3_finseq_1(B) = k3_finseq_1(u1_unialg_1(A)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) -> (all D (v1_unialg_1(D,u1_struct_0(A)) & m2_relset_1(D,k13_finseq_1(u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(D) & -v1_xboole_0(D) -> (D = k1_funct_1(u1_unialg_1(A),C) -> k1_funct_1(B,C) = k2_unialg_1(u1_struct_0(A),D))))))) <-> B = k3_unialg_1(A)))))) # label(d11_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11611 (exists A (v3_unialg_1(A) & l1_unialg_1(A))) # label(rc2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11612 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & v2_unialg_1(B,A) & v1_unialg_1(B,A) & v1_funct_1(B) & v1_relat_1(B) & m1_relset_1(B,k13_finseq_1(A),A))))) # label(rc1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11613 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> v2_unialg_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),A) & m2_relset_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),k13_finseq_1(A),A) & v1_unialg_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),A) & v1_funct_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B)) & -v1_xboole_0(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B)))))) # label(t2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11614 (all A (l1_unialg_1(A) -> l1_struct_0(A))) # label(dt_l1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11615 (all A (v6_unialg_1(A) & l1_unialg_1(A) -> v1_relat_1(u1_unialg_1(A)) & v1_funct_1(u1_unialg_1(A)) & v4_unialg_1(u1_unialg_1(A),u1_struct_0(A)) & v1_finseq_1(u1_unialg_1(A)))) # label(fc2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11616 (all A all B (m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> l1_unialg_1(g1_unialg_1(A,B)) & v3_unialg_1(g1_unialg_1(A,B)))) # label(dt_g1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11617 (all A all B (m2_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> (v5_unialg_1(B,A) <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_relset_1(D,k13_finseq_1(A),A) & v1_funct_1(D) -> (r2_hidden(C,k4_finseq_1(B)) & D = k1_funct_1(B,C) -> v2_unialg_1(D,A))))))))) # label(d5_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11618 (all A (l1_unialg_1(A) -> m2_finseq_1(u1_unialg_1(A),k4_partfun1(k13_finseq_1(u1_struct_0(A)),u1_struct_0(A))))) # label(dt_u1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11619 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k13_finseq_1(A),A) & v1_unialg_1(B,A) & -v1_xboole_0(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> ((all D (m2_finseq_1(D,A) -> (r2_hidden(D,k1_relat_1(B)) -> k3_finseq_1(D) = C))) <-> C = k2_unialg_1(A,B)))))))) # label(d10_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11620 (all A (l1_unialg_1(A) & v7_unialg_1(A) -> v1_funct_1(u1_unialg_1(A)) & v1_finseq_1(u1_unialg_1(A)) & v5_unialg_1(u1_unialg_1(A),u1_struct_0(A)) & v1_relat_1(u1_unialg_1(A)))) # label(fc3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11621 (all A all B (m2_relset_1(B,k13_finseq_1(A),A) & v1_funct_1(B) -> (v1_unialg_1(B,A) <-> (all C (m2_finseq_1(C,A) -> (all D (m2_finseq_1(D,A) -> (r2_hidden(C,k1_relat_1(B)) & r2_hidden(D,k1_relat_1(B)) -> k3_finseq_1(D) = k3_finseq_1(C))))))))) # label(d1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11622 (all A all B (m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> (all C all D (g1_unialg_1(C,D) = g1_unialg_1(A,B) -> A = C & D = B)))) # label(free_g1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11623 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_relset_1(B,k13_finseq_1(A),A) & v1_unialg_1(B,A) & v1_funct_1(B) -> m2_subset_1(k2_unialg_1(A,B),k1_numbers,k5_numbers))) # label(dt_k2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11624 (all A all B (m2_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> (v4_unialg_1(B,A) <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (v1_funct_1(D) & m2_relset_1(D,k13_finseq_1(A),A) -> (D = k1_funct_1(B,C) & r2_hidden(C,k4_finseq_1(B)) -> v1_unialg_1(D,A))))))))) # label(d4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11625 (all A (l1_unialg_1(A) -> (v3_unialg_1(A) -> A = g1_unialg_1(u1_struct_0(A),u1_unialg_1(A))))) # label(abstractness_v3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11626 (all A (l1_unialg_1(A) -> (v2_relat_1(u1_unialg_1(A)) & k1_xboole_0 != u1_unialg_1(A) <-> v8_unialg_1(A)))) # label(d9_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11627 (all A all B (m1_subset_1(B,k4_partfun1(k13_finseq_1(A),A)) & -v1_xboole_0(A) -> k1_unialg_1(A,B) = k5_finseq_1(B))) # label(redefinition_k1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11628 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m1_subset_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),k4_partfun1(k13_finseq_1(A),A)))))) # label(t3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11629 $T # label(d3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11630 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,k4_partfun1(k13_finseq_1(A),A)) -> (C = k2_funcop_1(k1_tarski(k6_finseq_1(A)),B) -> v2_relat_1(k1_unialg_1(A,C)) & v5_unialg_1(k1_unialg_1(A,C),A) & v4_unialg_1(k1_unialg_1(A,C),A)))))))) # label(t4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11631 (all A all B (m2_relset_1(B,k13_finseq_1(A),A) & v1_funct_1(B) -> -(-v1_xboole_0(B) & k1_xboole_0 = k1_relat_1(B)) & -(v1_xboole_0(B) & k1_xboole_0 != k1_relat_1(B)))) # label(t1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11632 (all A (l1_unialg_1(A) & v8_unialg_1(A) -> -v1_xboole_0(u1_unialg_1(A)) & v2_relat_1(u1_unialg_1(A)) & v1_finseq_1(u1_unialg_1(A)) & v1_funct_1(u1_unialg_1(A)) & v1_relat_1(u1_unialg_1(A)))) # label(fc4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11633 (all A (-v1_xboole_0(A) -> (exists B (v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B) & v5_unialg_1(B,A) & v4_unialg_1(B,A) & v1_finseq_1(B) & m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)))))) # label(rc4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11634 (all A (l1_unialg_1(A) -> (v5_unialg_1(u1_unialg_1(A),u1_struct_0(A)) <-> v7_unialg_1(A)))) # label(d8_unialg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11635 (all A (k2_group_1(k20_monoid_0(A)) = k6_partfun1(A) & k6_partfun1(A) = k3_binop_1(u1_struct_0(k20_monoid_0(A)),u1_group_1(k20_monoid_0(A))))) # label(t87_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11636 (all A (l1_group_1(A) & v1_monoid_0(A) -> (all B (m1_monoid_0(B,A) -> v1_monoid_0(B))))) # label(cc14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11637 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v16_monoid_0(A) -> -v3_struct_0(A) & v15_monoid_0(A) & v14_monoid_0(A)))) # label(cc9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11638 $T # label(t8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11639 (all A (-v3_struct_0(A) & l1_group_1(A) & v7_group_1(A) -> (all B (m1_monoid_0(B,A) -> v7_group_1(B) & -v3_struct_0(B))))) # label(cc18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11640 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> (all B (v1_vectsp_1(B) & m1_monoid_0(B,A) & v1_vectsp_2(B) -> (all C (v1_vectsp_1(C) & m1_monoid_0(C,A) & v1_vectsp_2(C) -> B = C)))))) # label(t22_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11641 (all A (-v3_struct_0(A) & l1_vectsp_1(A) & v17_monoid_0(A) & v1_vectsp_2(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v17_monoid_0(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v2_group_1(B)))))) # label(cc35_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11642 (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 (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k2_binop_1(A,A,A,B,E,C) = k2_binop_1(A,A,A,B,D,C) -> D = E))))))) <-> v7_monoid_0(B,A)))))) # label(d7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11643 (all A (l1_group_1(A) -> (exists B m2_monoid_0(B,A)))) # label(existence_m2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.04 11644 (all A (k1_funct_2(A,A) = u1_struct_0(k19_monoid_0(A)) & k6_partfun1(A) = u1_vectsp_1(k19_monoid_0(A)) & u1_group_1(k19_monoid_0(A)) = k1_realset1(k17_monoid_0(A),k1_funct_2(A,A)))) # label(t85_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11645 (all A (v1_vectsp_1(A) & v1_vectsp_2(A) & m1_monoid_0(A,k7_monoid_0) & -v3_struct_0(A) -> k8_monoid_0 = A)) # label(d28_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11646 (all A (l1_group_1(A) -> (exists B m1_monoid_0(B,A)))) # label(existence_m1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11647 (all A (m1_subset_1(A,u1_struct_0(k9_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(k9_monoid_0)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> (D = B & C = A -> k11_binop_2(C,D) = k10_group_1(k9_monoid_0,A,B)))))))))) # label(t55_monoid_0_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11648 (exists A (v1_monoid_0(A) & l1_struct_0(A))) # label(rc1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11649 p1_s4_monoid_0(u1_vectsp_1(f1_s4_monoid_0)) & (all A (m1_subset_1(A,u1_struct_0(f1_s4_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(f1_s4_monoid_0)) -> (p1_s4_monoid_0(B) & p1_s4_monoid_0(A) -> p1_s4_monoid_0(k1_group_1(f1_s4_monoid_0,A,B))))))) -> (exists A ((all B (m1_subset_1(B,u1_struct_0(f1_s4_monoid_0)) -> (r2_hidden(B,u1_struct_0(A)) <-> p1_s4_monoid_0(B)))) & m3_monoid_0(A,f1_s4_monoid_0) & v1_vectsp_1(A) & -v3_struct_0(A))) # label(s4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11650 (all A (-v3_struct_0(A) & l1_group_1(A) & v16_monoid_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> v14_monoid_0(B) & v15_monoid_0(B) & v16_monoid_0(B) & -v3_struct_0(B)))))) # label(cc33_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11651 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & v13_monoid_0(A) -> v2_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(cc6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11652 (all A (m1_subset_1(A,u1_struct_0(k6_monoid_0)) <-> v1_int_1(A))) # label(t47_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11653 (all A (-v1_xboole_0(A) -> k3_binop_1(u1_struct_0(k12_monoid_0(A)),u1_group_1(k12_monoid_0(A))) = k1_xboole_0)) # label(t69_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11654 (all A (-v1_xboole_0(A) -> (all B (m2_monoid_0(B,k12_monoid_0(A)) & -v3_struct_0(B) -> (m1_subset_1(k1_xboole_0,u1_struct_0(B)) -> k1_xboole_0 = k3_binop_1(u1_struct_0(B),u1_group_1(B)) & v2_group_1(B)))))) # label(t74_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11655 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (v10_monoid_0(A) -> v10_monoid_0(B)))))) # label(t36_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11656 (all A all B (m2_monoid_0(B,k15_monoid_0(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)) -> k5_relat_1(D,C) = k4_monoid_0(B,C,D))))))) # label(t79_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11657 (all A (-v3_struct_0(A) & l1_group_1(A) -> (exists B (m3_monoid_0(B,A) & -v3_struct_0(B) & v1_vectsp_1(B))))) # label(rc11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11658 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,B,B))) <-> v10_monoid_0(A)))) # label(t9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11659 (all A all B (m2_monoid_0(B,A) & l1_group_1(A) -> (all C (m5_monoid_0(C,A,B) -> m2_monoid_0(C,A))))) # label(dt_m5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11660 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v1_vectsp_2(A) -> v6_vectsp_1(A) & v8_vectsp_1(A) & v2_group_1(A) & -v3_struct_0(A)))) # label(cc12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11661 (all A (l1_struct_0(A) -> (v1_fraenkel(u1_struct_0(A)) -> v1_monoid_0(A)))) # label(t89_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11662 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,k12_monoid_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k4_monoid_0(B,C,D) = k7_finseq_1(C,D))))))))) # label(t72_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11663 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) <-> (exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = C & C = k1_group_1(A,C,B))) & m1_subset_1(B,u1_struct_0(A))))))) # label(t6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11664 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v4_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v12_monoid_0(A)))) # label(d15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11665 (all A all B (l1_group_1(A) & m3_monoid_0(B,A) -> (all C (m7_monoid_0(C,A,B) -> m3_monoid_0(C,A))))) # label(dt_m7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11666 (all A all B (l1_group_1(A) & m3_monoid_0(B,A) -> (all C (m6_monoid_0(C,A,B) -> m2_monoid_0(C,A))))) # label(dt_m6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11667 (all A (v2_group_1(A) & v17_monoid_0(A) & m2_monoid_0(A,k9_monoid_0) & v1_group_1(A) & -v3_struct_0(A) -> (u1_struct_0(A) = k5_numbers <-> k10_monoid_0 = A))) # label(d31_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11668 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (r3_binop_1(u1_struct_0(A),u1_vectsp_1(A),u1_group_1(A)) <-> v1_vectsp_2(A)))) # label(d21_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11669 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & v2_group_1(B) & v4_group_1(B) & v2_monoid_0(B) & v16_monoid_0(B) & v17_monoid_0(B) & l1_group_1(B) & v1_group_1(B) -> (k3_finseq_2(A) = u1_struct_0(B) & (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k7_finseq_1(C,D) = k4_monoid_0(B,C,D))))) <-> k12_monoid_0(A) = B))))) # label(d34_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11670 (all A (-v1_xboole_0(A) -> u1_group_1(k12_monoid_0(A)) = k14_monoid_0(A))) # label(d36_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11671 (all A all B all C (m1_finseq_1(B,A) & m1_finseq_1(C,A) -> k1_monoid_0(A,B,C) = k7_finseq_1(B,C))) # label(redefinition_k1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11672 (all A (l1_group_1(A) -> (exists B (m2_monoid_0(B,A) & v1_group_1(B))))) # label(rc7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11673 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> k1_realset1(u1_group_1(A),u1_struct_0(B)) = u1_group_1(B))))) # label(t26_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11674 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m2_monoid_0(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(t28_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11675 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r1_tarski(A,B) -> m2_monoid_0(k12_monoid_0(A),k12_monoid_0(B))))))) # label(t75_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11676 (all A (-v1_xboole_0(A) -> (all B (v1_vectsp_2(B) & m1_monoid_0(B,k12_monoid_0(A)) & v1_vectsp_1(B) & -v3_struct_0(B) -> k13_monoid_0(A) = B)))) # label(d35_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11677 (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) -> (v6_monoid_0(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,C,D) = k2_binop_1(A,A,A,B,C,E) -> E = D)))))))))))) # label(d6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11678 (all A (l1_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B))) <-> v2_monoid_0(A)))) # label(d2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11679 (all A (l1_group_1(A) -> (all B (m2_monoid_0(B,A) -> l1_group_1(B))))) # label(dt_m2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11680 (all A all B (m1_monoid_0(B,k15_monoid_0(A)) & v1_vectsp_2(B) & v1_vectsp_1(B) & -v3_struct_0(B) -> B = k16_monoid_0(A))) # label(d38_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11681 (all A (l1_struct_0(A) -> (v2_monoid_0(A) -> v1_monoid_0(A)))) # label(cc2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11682 (all A (v2_monoid_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_finseq_1(B) & v1_finset_1(B) & v1_funct_1(B))))) # label(cc4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11683 (all A (-v1_xboole_0(A) -> k14_monoid_0(A) = u1_group_1(k13_monoid_0(A)) & k1_xboole_0 = u1_vectsp_1(k13_monoid_0(A)) & u1_struct_0(k13_monoid_0(A)) = k3_finseq_2(A))) # label(t70_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11684 (all A (l1_group_1(A) -> (v2_monoid_0(A) -> v1_monoid_0(A)))) # label(cc3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11685 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v1_vectsp_2(A) -> u1_vectsp_1(A) = k3_binop_1(u1_struct_0(A),u1_group_1(A))))) # label(t19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11686 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v11_monoid_0(A) <-> v3_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11687 (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,D,B) = k1_group_1(A,C,B) -> D = C))))))) <-> v15_monoid_0(A)))) # label(t14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11688 (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) -> k1_group_1(A,B,C) = k4_monoid_0(A,B,C))) # label(redefinition_k4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11689 (all A (v1_vectsp_2(k19_monoid_0(A)) & m1_monoid_0(k19_monoid_0(A),k18_monoid_0(A)) & v1_vectsp_1(k19_monoid_0(A)))) # label(dt_k19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11690 (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) -> (v9_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (k3_binop_1(A,B) = k2_binop_1(A,A,A,B,C,D) -> C = D & D = k3_binop_1(A,B)))))) & v1_setwiseo(B,A)))))) # label(d9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11691 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k13_monoid_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(k13_monoid_0(A))) -> k7_finseq_1(B,C) = k4_monoid_0(k13_monoid_0(A),B,C))))))) # label(t71_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11692 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,k12_monoid_0(A)) & v2_group_1(B) -> k3_binop_1(u1_struct_0(B),u1_group_1(B)) = k1_xboole_0)))) # label(t73_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11693 (all A (l1_group_1(A) & v17_monoid_0(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v17_monoid_0(B))))) # label(cc21_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11694 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (r2_hidden(k3_binop_1(u1_struct_0(A),u1_group_1(A)),u1_struct_0(B)) & v2_group_1(A) -> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k3_binop_1(u1_struct_0(B),u1_group_1(B)) & v2_group_1(B)))))) # label(t32_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11695 (all A (l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> (exists B (v6_vectsp_1(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v1_vectsp_1(B) & v2_group_1(B) & -v3_struct_0(B) & m1_monoid_0(B,A))))) # label(rc6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11696 (all A all B (m2_monoid_0(B,k15_monoid_0(A)) & -v3_struct_0(B) -> (m1_subset_1(k6_partfun1(A),u1_struct_0(B)) -> v2_group_1(B) & k3_binop_1(u1_struct_0(B),u1_group_1(B)) = k6_partfun1(A)))) # label(t80_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11697 (all A (-v3_struct_0(A) & v2_group_1(A) & m2_monoid_0(A,k5_monoid_0) -> np__0 = k3_binop_1(u1_struct_0(A),u1_group_1(A)))) # label(t44_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11698 (all A k3_binop_1(u1_struct_0(k15_monoid_0(A)),u1_group_1(k15_monoid_0(A))) = k6_partfun1(A)) # label(t78_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11699 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & v1_funct_2(B,A,A) -> k5_relat_1(B,C) = k2_monoid_0(A,B,C))) # label(redefinition_k2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11700 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (all C (-v3_struct_0(C) & m2_monoid_0(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m5_monoid_0(B,A,C)))))))) # label(t30_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11701 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v14_monoid_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) -> C = D)))))))))) # label(t13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11702 (all A (-v3_struct_0(A) & v17_monoid_0(A) & m5_monoid_0(A,k5_monoid_0,k6_monoid_0) & v2_group_1(A) & v1_group_1(A) -> (A = k7_monoid_0 <-> k5_numbers = u1_struct_0(A)))) # label(d27_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11703 (all A all B all C (l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k4_monoid_0(A,B,C),u1_struct_0(A)))) # label(dt_k4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11704 (all A (-v3_struct_0(A) & v13_monoid_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v13_monoid_0(B) & v12_monoid_0(B) & v11_monoid_0(B))))) # label(cc19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11705 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v16_monoid_0(A) <-> v8_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11706 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v13_monoid_0(A) -> -v3_struct_0(A) & v12_monoid_0(A) & v11_monoid_0(A)))) # label(cc7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11707 (all A (l1_group_1(A) & -v3_struct_0(A) -> (exists B (m2_monoid_0(B,A) & v1_group_1(B) & -v3_struct_0(B))))) # label(rc8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11708 (all A all B (m1_monoid_0(B,A) & l1_group_1(A) -> (all C (m4_monoid_0(C,A,B) -> m2_monoid_0(C,A))))) # label(dt_m4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11709 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (r2_hidden(k3_binop_1(u1_struct_0(A),u1_group_1(A)),u1_struct_0(B)) & v17_monoid_0(A) -> v17_monoid_0(B)))))) # label(t38_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11710 (all A k6_partfun1(A) = k3_binop_1(u1_struct_0(k18_monoid_0(A)),u1_group_1(k18_monoid_0(A)))) # label(t84_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11711 (all A (l1_group_1(A) -> (v14_monoid_0(A) & v15_monoid_0(A) & -v3_struct_0(A) -> v16_monoid_0(A) & -v3_struct_0(A)))) # label(cc10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11712 (all A (l1_group_1(A) -> (exists B m3_monoid_0(B,A)))) # label(existence_m3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11713 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v4_group_1(B))))) # label(cc17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11714 (all A all B (m1_subset_1(B,u1_struct_0(k20_monoid_0(A))) -> k3_group_1(k20_monoid_0(A),B) = k2_funct_1(B))) # label(t88_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11715 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (all C (-v3_struct_0(C) & m3_monoid_0(C,A) -> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & r1_tarski(u1_struct_0(C),u1_struct_0(A)))))))) # label(t25_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11716 (all A (v1_group_1(k20_monoid_0(A)) & v2_group_1(k20_monoid_0(A)) & v13_monoid_0(k20_monoid_0(A)) & m5_monoid_0(k20_monoid_0(A),k15_monoid_0(A),k18_monoid_0(A)) & -v3_struct_0(k20_monoid_0(A)))) # label(dt_k20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11717 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v7_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v15_monoid_0(A)))) # label(d18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11718 (all A (m1_subset_1(A,u1_struct_0(f1_s2_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(f1_s2_monoid_0)) -> (p1_s2_monoid_0(A) & p1_s2_monoid_0(B) -> p1_s2_monoid_0(k1_group_1(f1_s2_monoid_0,A,B))))))) & (exists A (m1_subset_1(A,u1_struct_0(f1_s2_monoid_0)) & p1_s2_monoid_0(A))) -> (exists A ((all B (m1_subset_1(B,u1_struct_0(f1_s2_monoid_0)) -> (p1_s2_monoid_0(B) <-> r2_hidden(B,u1_struct_0(A))))) & m2_monoid_0(A,f1_s2_monoid_0) & v1_group_1(A) & -v3_struct_0(A))) # label(s2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11719 (all A all B (v1_funct_2(B,k2_zfmisc_1(k1_tarski(A),k1_tarski(A)),k1_tarski(A)) & m2_relset_1(B,k2_zfmisc_1(k1_tarski(A),k1_tarski(A)),k1_tarski(A)) & v1_funct_1(B) -> B = k2_funcop_1(k1_tarski(k4_tarski(A,A)),A) & v1_binop_1(B,k1_tarski(A)) & v2_binop_1(B,k1_tarski(A)) & v5_monoid_0(B,k1_tarski(A)) & v8_monoid_0(B,k1_tarski(A)) & v9_monoid_0(B,k1_tarski(A)) & v3_binop_1(B,k1_tarski(A)) & v1_setwiseo(B,k1_tarski(A)))) # label(t3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11720 (all A (-v3_struct_0(A) & v1_vectsp_2(A) & v17_monoid_0(A) & l1_vectsp_1(A) -> (all B (-v3_struct_0(B) & m3_monoid_0(B,A) -> v17_monoid_0(B))))) # label(t39_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11721 (all A (m1_subset_1(A,k1_numbers) <-> m1_subset_1(A,u1_struct_0(k9_monoid_0)))) # label(t56_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11722 (all A (-v3_struct_0(A) & m2_monoid_0(A,k9_monoid_0) -> (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_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (C = E & B = D -> k11_binop_2(D,E) = k10_group_1(A,B,C)))))))))))) # label(t58_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11723 (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)) -> (exists D (k1_group_1(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))))))) <-> v12_monoid_0(A)))) # label(t11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11724 (exists A (l1_struct_0(A) & v2_monoid_0(A))) # label(rc2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11725 (all A (v2_group_1(A) & m2_monoid_0(A,k9_monoid_0) & -v3_struct_0(A) -> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = np__1 | np__0 = k3_binop_1(u1_struct_0(A),u1_group_1(A)))) # label(t60_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11726 (all A (l1_group_1(A) -> (v3_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v13_monoid_0(A) & -v3_struct_0(A)))) # label(cc5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11727 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) & -v3_struct_0(B) -> (all C (m3_monoid_0(C,A) & -v3_struct_0(C) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m7_monoid_0(B,A,C)))))))) # label(t31_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11728 (all A (l1_group_1(A) -> (all B (l1_group_1(B) -> (r1_tarski(u1_group_1(B),u1_group_1(A)) <-> m2_monoid_0(B,A)))))) # label(d23_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11729 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(k10_monoid_0)) -> (all D (m1_subset_1(D,u1_struct_0(k10_monoid_0)) -> (D = B & C = A -> k24_binop_2(A,B) = k10_group_1(k10_monoid_0,C,D)))))))))) # label(t62_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11730 (all A (m2_subset_1(A,k1_numbers,k5_numbers) <-> m1_subset_1(A,u1_struct_0(k8_monoid_0)))) # label(t50_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11731 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (v4_group_1(A) -> v4_group_1(B)))))) # label(t35_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11732 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v13_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D ((exists E (m1_subset_1(E,u1_struct_0(A)) & k1_group_1(A,B,D) = C & k1_group_1(A,E,B) = C)) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(t12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11733 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_monoid_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v1_monoid_0(B) & v2_monoid_0(B)))))) # label(cc24_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11734 (all A (-v1_xboole_0(A) -> v2_group_1(k12_monoid_0(A)) & v2_monoid_0(k12_monoid_0(A)) & l1_group_1(k12_monoid_0(A)) & v17_monoid_0(k12_monoid_0(A)) & v16_monoid_0(k12_monoid_0(A)) & v4_group_1(k12_monoid_0(A)) & v1_group_1(k12_monoid_0(A)) & -v3_struct_0(k12_monoid_0(A)))) # label(dt_k12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11735 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (E = C & F = D -> k1_group_1(B,C,D) = k1_group_1(A,E,F)))))))))))))) # label(t27_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11736 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v1_setwiseo(u1_group_1(A),u1_struct_0(A)) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k1_group_1(A,B,C) -> C = B & k3_binop_1(u1_struct_0(A),u1_group_1(A)) = C))))) <-> v17_monoid_0(A)))) # label(t16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11737 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v4_group_1(A) -> (v13_monoid_0(A) <-> v1_finseqop(u1_group_1(A),u1_struct_0(A)) & v2_group_1(A))))) # label(t17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11738 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v9_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v17_monoid_0(A)))) # label(d20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11739 (all A (-v3_struct_0(A) & l1_group_1(A) & v7_group_1(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v7_group_1(B)))))) # label(cc27_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11740 (all A (l1_group_1(A) -> (exists B (m1_monoid_0(B,A) & v1_vectsp_1(B))))) # label(rc5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11741 (all A (-v3_struct_0(A) & v1_vectsp_1(A) & m1_monoid_0(A,k10_monoid_0) & v1_vectsp_2(A) -> k11_monoid_0 = A)) # label(d32_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11742 (all A (-v3_struct_0(A) & v16_monoid_0(A) & l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> v14_monoid_0(B) & v16_monoid_0(B) & v15_monoid_0(B) & -v3_struct_0(B)))))) # label(cc34_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11743 (all A (l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v4_group_1(B)))))) # label(cc30_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11744 (all A all B all C (v1_funct_1(B) & 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_xboole_0(A) -> -v3_struct_0(g1_vectsp_1(A,B,C)) & v1_vectsp_1(g1_vectsp_1(A,B,C)))) # label(fc1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11745 (all A k1_realset1(k17_monoid_0(A),k1_funct_2(A,A)) = u1_group_1(k18_monoid_0(A))) # label(t83_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11746 (all A all B (l1_group_1(A) & m3_monoid_0(B,A) -> (all C (m6_monoid_0(C,A,B) <-> m2_monoid_0(C,B))))) # label(redefinition_m6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11747 (all A (l1_group_1(A) & v10_monoid_0(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v10_monoid_0(B)))))) # label(cc32_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11748 $T # label(t48_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11749 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v16_monoid_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,C) = k1_group_1(A,B,D) | k1_group_1(A,D,B) = k1_group_1(A,C,B) -> C = D)))))))))) # label(t15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11750 (all A (m2_monoid_0(A,k5_monoid_0) & -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_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (B = D & E = C -> k10_group_1(A,B,C) = k9_binop_2(D,E)))))))))))) # label(t43_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11751 (all A (-v3_struct_0(A) & v1_vectsp_2(A) & l1_vectsp_1(A) -> (exists B (m3_monoid_0(B,A) & v3_group_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v12_monoid_0(B) & v13_monoid_0(B) & v16_monoid_0(B) & v17_monoid_0(B) & v15_monoid_0(B) & v14_monoid_0(B) & v11_monoid_0(B) & v10_monoid_0(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v1_vectsp_1(B) & v7_group_1(B) & v2_group_1(B) & -v3_struct_0(B))))) # label(rc12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11752 (all A all B (m1_subset_1(A,u1_struct_0(k20_monoid_0(B))) <-> v1_funct_1(A) & v1_funct_2(A,B,B) & v3_funct_2(A,B,B) & m2_relset_1(A,B,B))) # label(t86_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11753 (all A all B (r1_tarski(A,B) -> m2_monoid_0(k15_monoid_0(A),k15_monoid_0(B)))) # label(t81_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11754 (all A (m2_monoid_0(k18_monoid_0(A),k15_monoid_0(A)) & v2_group_1(k18_monoid_0(A)) & v1_group_1(k18_monoid_0(A)) & -v3_struct_0(k18_monoid_0(A)))) # label(dt_k18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11755 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v12_monoid_0(A) & v11_monoid_0(A) -> -v3_struct_0(A) & v13_monoid_0(A)))) # label(cc8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11756 (all A (v16_monoid_0(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v14_monoid_0(B) & v15_monoid_0(B) & v16_monoid_0(B))))) # label(cc20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11757 (all A (l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) & v13_monoid_0(B) & v4_group_1(B) -> v2_group_1(B) & v3_group_1(B) & v15_monoid_0(B) & v16_monoid_0(B) & v14_monoid_0(B) & -v3_struct_0(B)))))) # label(cc36_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11758 (all A (m2_relset_1(k17_monoid_0(A),k2_zfmisc_1(k4_partfun1(A,A),k4_partfun1(A,A)),k4_partfun1(A,A)) & v1_funct_2(k17_monoid_0(A),k2_zfmisc_1(k4_partfun1(A,A),k4_partfun1(A,A)),k4_partfun1(A,A)) & v1_funct_1(k17_monoid_0(A)))) # label(dt_k17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11759 $T # label(t7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11760 (all A (m1_subset_1(A,u1_struct_0(k5_monoid_0)) <-> m1_subset_1(A,k1_numbers))) # label(t41_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11761 (all A (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> v7_group_1(B) & -v3_struct_0(B)))))) # label(cc28_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11762 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v13_monoid_0(A) & v4_group_1(A) -> v2_group_1(A) & v16_monoid_0(A) & -v3_struct_0(A)))) # label(cc11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11763 (all A all B (m2_monoid_0(B,A) & l1_group_1(A) -> (all C (m2_monoid_0(C,B) <-> m5_monoid_0(C,A,B))))) # label(redefinition_m5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11764 (all A all B (v1_group_1(B) & v2_group_1(B) & m2_monoid_0(B,k15_monoid_0(A)) & -v3_struct_0(B) -> (B = k18_monoid_0(A) <-> k1_funct_2(A,A) = u1_struct_0(B)))) # label(d40_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11765 (all A all B (m2_relset_1(A,B,B) & v1_funct_1(A) <-> m1_subset_1(A,u1_struct_0(k15_monoid_0(B))))) # label(t77_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11766 (all A (l1_group_1(A) -> (all B (l1_vectsp_1(B) -> ((all C (l1_vectsp_1(C) -> (C = A -> u1_vectsp_1(B) = u1_vectsp_1(C)))) & r1_tarski(u1_group_1(B),u1_group_1(A)) <-> m3_monoid_0(B,A)))))) # label(d24_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11767 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v2_group_1(A) -> r3_binop_1(u1_struct_0(A),k3_binop_1(u1_struct_0(A),u1_group_1(A)),u1_group_1(A))))) # label(t4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11768 (all A (v1_vectsp_1(k16_monoid_0(A)) & m1_monoid_0(k16_monoid_0(A),k15_monoid_0(A)) & v1_vectsp_2(k16_monoid_0(A)) & -v3_struct_0(k16_monoid_0(A)))) # label(dt_k16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11769 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (exists E ((exists F (m1_subset_1(F,A) & D = k2_binop_1(A,A,A,B,C,E) & D = k2_binop_1(A,A,A,B,F,C))) & m1_subset_1(E,A))))))) <-> v5_monoid_0(B,A)))))) # label(d5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11770 (all A (v1_monoid_0(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v1_monoid_0(B)))))) # label(cc22_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11771 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(k8_monoid_0)) -> (all D (m1_subset_1(D,u1_struct_0(k8_monoid_0)) -> (B = D & C = A -> k10_group_1(k8_monoid_0,C,D) = k23_binop_2(A,B)))))))))) # label(t51_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11772 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & v2_group_1(B))))) # label(cc16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11773 (all A (m1_subset_1(A,u1_struct_0(k5_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(k5_monoid_0)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> (B = D & A = C -> k9_binop_2(C,D) = k10_group_1(k5_monoid_0,A,B)))))))))) # label(t40_monoid_0_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11774 (all A (v1_group_1(A) & m2_monoid_0(A,k5_monoid_0) & -v3_struct_0(A) -> (A = k6_monoid_0 <-> k4_numbers = u1_struct_0(A)))) # label(t46_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11775 (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) -> (v4_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (exists E (m1_subset_1(E,A) & k2_binop_1(A,A,A,B,C,E) = D))))))))))) # label(d4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11776 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (exists E (m1_subset_1(E,A) & k2_binop_1(A,A,A,B,E,C) = D)))))) <-> v3_monoid_0(B,A)))))) # label(d3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11777 (exists A (v2_group_1(A) & v1_monoid_0(A) & v2_monoid_0(A) & v17_monoid_0(A) & v16_monoid_0(A) & v13_monoid_0(A) & v10_monoid_0(A) & v7_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) & l1_group_1(A))) # label(rc3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11778 (all A all B (m2_monoid_0(B,A) & l1_group_1(A) -> (exists C m5_monoid_0(C,A,B)))) # label(existence_m5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11779 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B))))) # label(cc13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11780 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> (v7_group_1(A) -> v7_group_1(B)) & (v4_group_1(A) -> v4_group_1(B)) & (v13_monoid_0(A) -> v13_monoid_0(B)) & (v16_monoid_0(A) -> v16_monoid_0(B)) & (v17_monoid_0(A) -> v17_monoid_0(B)) & (v2_group_1(A) -> v2_group_1(B)))))) # label(t21_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11781 (all A (l1_group_1(A) -> (exists B (m3_monoid_0(B,A) & v1_vectsp_1(B))))) # label(rc10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11782 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (v16_monoid_0(A) -> v16_monoid_0(B)))))) # label(t37_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11783 (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) -> (v3_monoid_0(B,A) & v4_monoid_0(B,A) <-> v5_monoid_0(B,A)))))) # label(t1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11784 (all A (-v1_xboole_0(A) -> k12_monoid_0(A) = g1_group_1(k3_finseq_2(A),k14_monoid_0(A)))) # label(t68_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11785 (all A all B (l1_group_1(A) & m1_monoid_0(B,A) -> (exists C m4_monoid_0(C,A,B)))) # label(existence_m4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11786 (all A (m1_struct_0(A,f1_s3_monoid_0,f2_s3_monoid_0) -> (all B (m1_struct_0(B,f1_s3_monoid_0,f2_s3_monoid_0) -> r2_hidden(k1_group_1(f1_s3_monoid_0,A,B),f2_s3_monoid_0))))) & r2_hidden(u1_vectsp_1(f1_s3_monoid_0),f2_s3_monoid_0) -> (exists A (-v3_struct_0(A) & v1_vectsp_1(A) & f2_s3_monoid_0 = u1_struct_0(A) & m3_monoid_0(A,f1_s3_monoid_0))) # label(s3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11787 (all A (l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> m2_monoid_0(B,A))))) # label(t23_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11788 (all A (l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v4_group_1(B)))))) # label(cc29_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11789 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v14_monoid_0(A) <-> v6_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11790 (all A (v10_monoid_0(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> v10_monoid_0(B) & -v3_struct_0(B)))))) # label(cc31_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11791 (all A (l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> l1_vectsp_1(B))))) # label(dt_m1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11792 (all A all B (m1_subset_1(A,u1_struct_0(k18_monoid_0(B))) <-> m2_relset_1(A,B,B) & v1_funct_2(A,B,B) & v1_funct_1(A))) # label(t82_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11793 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) & -v3_struct_0(B) -> (all C (m3_monoid_0(C,A) & -v3_struct_0(C) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_vectsp_1(u1_struct_0(B),u1_group_1(B),u1_vectsp_1(B)) = g1_vectsp_1(u1_struct_0(C),u1_group_1(C),u1_vectsp_1(C))))))))) # label(t29_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11794 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v1_binop_1(u1_group_1(A),u1_struct_0(A)) <-> v7_group_1(A)))) # label(d11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11795 (all A (v1_group_1(k15_monoid_0(A)) & l1_group_1(k15_monoid_0(A)) & v1_monoid_0(k15_monoid_0(A)) & v4_group_1(k15_monoid_0(A)) & v2_group_1(k15_monoid_0(A)) & -v3_struct_0(k15_monoid_0(A)))) # label(dt_k15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11796 (exists A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v1_vectsp_2(A) & v10_monoid_0(A) & v11_monoid_0(A) & v12_monoid_0(A) & v13_monoid_0(A) & v15_monoid_0(A) & v16_monoid_0(A) & v17_monoid_0(A) & v14_monoid_0(A) & v2_monoid_0(A) & v1_monoid_0(A) & v6_vectsp_1(A) & v1_vectsp_1(A) & v2_group_1(A) & l1_vectsp_1(A))) # label(rc4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11797 (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) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k2_binop_1(A,A,A,B,C,E) = k2_binop_1(A,A,A,B,C,D) | k2_binop_1(A,A,A,B,E,C) = k2_binop_1(A,A,A,B,D,C) -> D = E))))))) <-> v8_monoid_0(B,A)))))) # label(d8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11798 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v10_monoid_0(A) <-> v3_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(d13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11799 (all A (l1_vectsp_1(A) -> (all B (l1_vectsp_1(B) -> (r1_tarski(u1_group_1(B),u1_group_1(A)) & u1_vectsp_1(B) = u1_vectsp_1(A) <-> m3_monoid_0(B,A)))))) # label(d25_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11800 $T # label(t59_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11801 (all A all B (m3_monoid_0(B,A) & l1_group_1(A) -> (all C (m3_monoid_0(C,B) <-> m7_monoid_0(C,A,B))))) # label(redefinition_m7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11802 (all A (l1_group_1(A) & v1_monoid_0(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> v1_monoid_0(B) & -v3_struct_0(B)))))) # label(cc23_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11803 (all A (-v1_xboole_0(A) -> v1_funct_1(k14_monoid_0(A)) & v1_funct_2(k14_monoid_0(A),k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)) & m2_relset_1(k14_monoid_0(A),k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)))) # label(dt_k14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11804 (all A (l1_struct_0(A) & v1_monoid_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_funct_1(B))))) # label(cc1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11805 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(k11_monoid_0)) -> (all D (m1_subset_1(D,u1_struct_0(k11_monoid_0)) -> (A = C & D = B -> k24_binop_2(A,B) = k10_group_1(k11_monoid_0,C,D)))))))))) # label(t64_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11806 (all A (v1_vectsp_2(A) & l1_vectsp_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & v2_group_1(B)))))) # label(cc26_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11807 (all A all B (l1_group_1(A) & m3_monoid_0(B,A) -> (exists C m7_monoid_0(C,A,B)))) # label(existence_m7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11808 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,k3_binop_1(u1_struct_0(A),u1_group_1(A)),B) = B & k1_group_1(A,B,k3_binop_1(u1_struct_0(A),u1_group_1(A))) = B)) <-> v2_group_1(A)))) # label(t5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11809 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,A,A) & v1_funct_1(C) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_2(B,A,A) -> v1_funct_1(k2_monoid_0(A,B,C)) & v1_funct_2(k2_monoid_0(A,B,C),A,A) & m2_relset_1(k2_monoid_0(A,B,C),A,A))) # label(dt_k2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11810 (all A (l1_group_1(A) -> (all B (l1_vectsp_1(B) -> (g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(A),u1_group_1(A)) <-> m1_monoid_0(B,A)))))) # label(d22_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11811 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v1_vectsp_2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,u1_vectsp_1(A),B) & B = k1_group_1(A,B,u1_vectsp_1(A))))))) # label(t18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.05 11812 (all A all B (m1_monoid_0(B,k18_monoid_0(A)) & v1_vectsp_2(B) & v1_vectsp_1(B) -> B = k19_monoid_0(A))) # label(d41_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11813 (all A (-v3_struct_0(A) & v2_group_1(A) & l1_group_1(A) -> (exists B (-v3_struct_0(B) & v1_group_1(B) & v3_group_1(B) & v4_group_1(B) & v11_monoid_0(B) & v13_monoid_0(B) & v15_monoid_0(B) & v17_monoid_0(B) & v16_monoid_0(B) & v14_monoid_0(B) & v12_monoid_0(B) & v10_monoid_0(B) & v7_group_1(B) & v2_group_1(B) & m2_monoid_0(B,A))))) # label(rc9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11814 (all A all B (v1_group_1(B) & v2_group_1(B) & m5_monoid_0(B,k15_monoid_0(A),k18_monoid_0(A)) & v13_monoid_0(B) & -v3_struct_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(k18_monoid_0(A))) -> (r2_hidden(C,u1_struct_0(B)) <-> v1_funct_1(C) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A)))) <-> k20_monoid_0(A) = B))) # label(d42_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11815 (all A all B (l1_group_1(A) & m1_monoid_0(B,A) -> (all C (m4_monoid_0(C,A,B) <-> m2_monoid_0(C,B))))) # label(redefinition_m4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11816 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_1(B) -> m2_monoid_0(A,A) & m3_monoid_0(B,B))))) # label(t24_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11817 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v11_monoid_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(t10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11818 (all A (l1_struct_0(A) -> (v1_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_funct_1(B)))))) # label(d1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11819 (all A all B (-v3_struct_0(B) & v4_group_1(B) & v1_monoid_0(B) & l1_group_1(B) & v2_group_1(B) & v1_group_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k5_relat_1(D,C) = k4_monoid_0(B,C,D))))) & k4_partfun1(A,A) = u1_struct_0(B) <-> B = k15_monoid_0(A)))) # label(d37_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11820 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v13_monoid_0(A) <-> v5_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11821 (all A all B all C (m1_finseq_1(B,A) & m1_finseq_1(C,A) -> m2_finseq_2(k1_monoid_0(A,B,C),A,k3_finseq_2(A)))) # label(dt_k1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11822 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,A,A) & v1_funct_1(C) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) -> v1_funct_1(k3_monoid_0(A,B,C)) & v1_funct_2(k3_monoid_0(A,B,C),A,A) & m2_relset_1(k3_monoid_0(A,B,C),A,A) & v3_funct_2(k3_monoid_0(A,B,C),A,A))) # label(dt_k3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11823 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v1_setwiseo(u1_group_1(A),u1_struct_0(A)) <-> v2_group_1(A)))) # label(d10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11824 (all A (v2_monoid_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> v2_monoid_0(B) & v1_monoid_0(B))))) # label(cc15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11825 (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) -> (v8_monoid_0(B,A) <-> v7_monoid_0(B,A) & v6_monoid_0(B,A)))))) # label(t2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11826 (all A (-v3_struct_0(A) & l1_vectsp_1(A) & v1_vectsp_2(A) -> (all B (-v3_struct_0(B) & m3_monoid_0(B,A) -> v1_vectsp_2(B))))) # label(t33_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11827 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v4_group_1(A) <-> v2_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(d12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11828 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> u1_group_1(A) = u1_group_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(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (F = D & E = C -> k1_group_1(A,E,F) = k1_group_1(B,C,D)))))))))) & u1_struct_0(A) = u1_struct_0(B))))) # label(t20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11829 (all A (m1_struct_0(A,f1_s1_monoid_0,f2_s1_monoid_0) -> (all B (m1_struct_0(B,f1_s1_monoid_0,f2_s1_monoid_0) -> r2_hidden(k1_group_1(f1_s1_monoid_0,A,B),f2_s1_monoid_0))))) -> (exists A (m2_monoid_0(A,f1_s1_monoid_0) & f2_s1_monoid_0 = u1_struct_0(A) & v1_group_1(A) & -v3_struct_0(A))) # label(s1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11830 (all A all B all C (v1_funct_1(B) & m1_relset_1(B,A,A) & v1_funct_1(C) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) -> k3_monoid_0(A,B,C) = k5_relat_1(B,C))) # label(redefinition_k3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11831 (all A all B (m3_monoid_0(B,A) & l1_group_1(A) -> (exists C m6_monoid_0(C,A,B)))) # label(existence_m6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11832 (all A (-v1_xboole_0(A) -> v1_setwiseo(k14_monoid_0(A),k3_finseq_2(A)) & k1_xboole_0 = k3_binop_1(k3_finseq_2(A),k14_monoid_0(A)) & v2_binop_1(k14_monoid_0(A),k3_finseq_2(A)))) # label(t76_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11833 (all A (-v1_xboole_0(A) -> m1_monoid_0(k13_monoid_0(A),k12_monoid_0(A)) & v1_vectsp_2(k13_monoid_0(A)) & v1_vectsp_1(k13_monoid_0(A)) & -v3_struct_0(k13_monoid_0(A)))) # label(dt_k13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11834 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (v7_group_1(A) -> v7_group_1(B)))))) # label(t34_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11835 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_monoid_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> v1_monoid_0(B) & v2_monoid_0(B) & -v3_struct_0(B)))))) # label(cc25_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11836 (all A k17_monoid_0(A) = u1_group_1(k15_monoid_0(A))) # label(d39_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11837 (all A (l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> l1_vectsp_1(B))))) # label(dt_m3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11838 $T # label(t45_monoid_0) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11839 (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)) = u1_struct_0(A) <-> v1_tops_3(B,A)))))) # label(d5_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11840 (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))) -> -(B = u1_struct_0(A) & v3_tops_1(B,A)))))) # label(t23_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11841 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(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))) -> (r1_tarski(C,D) -> r1_tarski(k1_tops_1(A,C),k1_tops_1(B,D))))))))))) # label(t56_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11842 (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_tops_3(B,A) -> v1_tops_3(k1_tops_1(A,B),A)))))) # label(t32_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11843 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (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 -> k1_tops_1(A,C) = k1_tops_1(B,D)))))))))) # label(t58_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11844 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(C,A) & v3_tops_1(B,A) -> v2_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t30_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11845 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & r1_tarski(C,D) -> r1_tarski(k1_tops_1(A,C),k1_tops_1(B,D))))))))))) # label(t78_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11846 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k2_pre_topc(A) = k3_subset_1(u1_struct_0(A),B) -> B = k1_pre_topc(A)) & (u1_struct_0(A) = k3_subset_1(u1_struct_0(A),B) -> k1_xboole_0 = B) & (k1_xboole_0 = B -> u1_struct_0(A) = k3_subset_1(u1_struct_0(A),B)) & (B = k1_pre_topc(A) -> k2_pre_topc(A) = k3_subset_1(u1_struct_0(A),B)))))) # label(t1_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11847 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v3_tops_1(k1_pre_topc(A),A))) # label(t22_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11848 (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))) -> -(u1_struct_0(A) = B & v2_tops_1(B,A)))))) # label(t10_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11849 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v3_tops_1(D,B) <-> v3_tops_1(C,A))))))))))) # label(t70_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11850 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = k6_pre_topc(A,B) <-> v1_tops_1(B,A)))))) # label(d2_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11851 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) & v2_tops_1(C,A) -> v1_tops_1(k6_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t47_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11852 (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))) -> (v3_pre_topc(B,A) & v1_tops_1(B,A) -> v1_tops_3(B,A)))))) # label(t36_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11853 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & v4_pre_topc(C,A) -> u1_struct_0(A) = C))) <-> v1_tops_1(B,A)))))) # label(t19_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11854 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k3_subset_1(u1_struct_0(A),B) = k1_pre_topc(A) -> k2_pre_topc(A) = B) & (k3_subset_1(u1_struct_0(A),B) = k1_xboole_0 -> u1_struct_0(A) = B) & (u1_struct_0(A) = B -> k3_subset_1(u1_struct_0(A),B) = k1_xboole_0) & (k2_pre_topc(A) = B -> k1_pre_topc(A) = k3_subset_1(u1_struct_0(A),B)))))) # label(t2_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11855 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v1_tops_1(k2_pre_topc(A),A))) # label(t16_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11856 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(C,A) & v1_tops_1(B,A) -> v1_tops_1(k6_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t46_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11857 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) <-> (exists C (v3_pre_topc(C,A) & v1_tops_1(C,A) & r1_tarski(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t41_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11858 (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))) -> -(v3_tops_1(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(C,A) & k5_subset_1(u1_struct_0(A),C,D) = B & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),C,D) & v1_tops_3(D,A) & v4_pre_topc(C,A))))))))))) # label(t51_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11859 (all 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))) -> (C = D -> (v4_pre_topc(C,A) <-> v4_pre_topc(D,B))))))) & u1_struct_0(A) = u1_struct_0(B) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))) # label(t73_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11860 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (u1_struct_0(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(B))) -> (D = C -> k6_pre_topc(B,D) = k6_pre_topc(A,C)))))) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))) # label(t75_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11861 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(C,A) & v1_tops_3(B,A) -> v1_tops_3(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t44_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11862 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (D = u1_struct_0(B) & E = C -> (v1_tops_3(C,A) <-> v1_tops_1(D,A) & v1_tops_3(E,B))))))))))))) # label(t63_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11863 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_tops_1(A,B))) -> k6_pre_topc(A,k1_tops_1(A,B)) = u1_struct_0(A)))))) # label(t8_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11864 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_tops_1(A,B) = k1_xboole_0 <-> v2_tops_1(B,A)))))) # label(d1_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11865 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) & r1_tarski(B,C) -> v1_tops_3(C,A)))))))) # label(t38_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11866 (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_xboole_0 != C & r1_xboole_0(k3_subset_1(u1_struct_0(A),B),C) & v3_pre_topc(C,A)))) <-> v2_tops_1(B,A)))))) # label(t13_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11867 (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))) -> -(k1_xboole_0 = B & v1_tops_1(B,A)))))) # label(t17_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11868 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) | v3_tops_1(C,A) -> v3_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t29_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11869 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_tops_3(k2_pre_topc(A),A))) # label(t31_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11870 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v2_tops_1(D,B) & r1_tarski(C,D) -> v2_tops_1(C,A)))))))))) # label(t65_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11871 (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))) -> -(k1_xboole_0 = B & v1_tops_3(B,A)))))) # label(t34_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11872 (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_tops_1(B,A) -> v3_tops_1(k6_pre_topc(A,B),A)))))) # label(t24_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11873 (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(k3_subset_1(u1_struct_0(A),B),C) & v4_pre_topc(C,A) -> u1_struct_0(A) = C))) <-> v2_tops_1(B,A)))))) # label(t12_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11874 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v3_tops_1(B,A) -> v3_tops_1(C,A)))))))) # label(t26_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11875 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_1(C,A) & v4_pre_topc(D,A) & v2_tops_1(D,A) & k4_subset_1(u1_struct_0(A),C,D) = u1_struct_0(A) & r1_xboole_0(C,D) & k4_subset_1(u1_struct_0(A),C,k5_subset_1(u1_struct_0(A),B,D)) = B & v3_pre_topc(C,A)))))) & v1_tops_3(B,A)))))) # label(t50_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11876 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & D = E -> (v1_tops_3(C,A) & v1_tops_3(E,B) <-> v1_tops_3(D,A))))))))))))) # label(t64_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11877 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v3_pre_topc(C,A) -> v3_pre_topc(D,B)))))))))) # label(t76_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11878 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & D = C -> k6_pre_topc(B,D) = k6_pre_topc(A,C)))))))))) # label(t80_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11879 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) | v1_tops_3(C,A) -> v1_tops_3(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t43_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11880 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v3_tops_1(D,B) -> v3_tops_1(C,A)))))))))) # label(t68_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11881 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(D,C) & D = E & r1_tarski(C,u1_struct_0(B)) & v3_pre_topc(C,A) -> k1_tops_1(B,E) = k1_tops_1(A,D)))))))))))) # label(t57_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11882 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(D,C) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v3_tops_1(C,A) -> v3_tops_1(D,B)))))))))) # label(t84_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11883 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 = k1_tops_1(A,k6_pre_topc(A,B)) <-> v3_tops_1(B,A)))))) # label(d3_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11884 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_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,C) = k6_pre_topc(A,k5_subset_1(u1_struct_0(A),C,B)))))))))) # label(t20_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11885 (all 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))) -> (D = C -> (v3_pre_topc(D,B) <-> v3_pre_topc(C,A))))))) & u1_struct_0(B) = u1_struct_0(A) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))))) # label(t72_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11886 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(D,C) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v2_tops_1(C,A) -> v2_tops_1(D,B)))))))))) # label(t82_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11887 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> r1_tarski(k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B)),k4_subset_1(u1_struct_0(A),C,k1_tops_1(A,B)))))))))) # label(t5_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11888 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (u1_struct_0(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(B))) -> (D = C <-> k3_subset_1(u1_struct_0(A),C) = k3_subset_1(u1_struct_0(B),D))))))))))) # label(t71_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11889 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v1_tops_3(C,A) -> v1_tops_3(D,B)))))))))) # label(t61_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11890 (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_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(C != k1_xboole_0 & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,C) & D != k1_xboole_0 & r1_xboole_0(B,D) & v3_pre_topc(D,A)))) & v3_pre_topc(C,A))))))))) # label(t28_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11891 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D & v4_pre_topc(C,A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v4_pre_topc(D,B)))))))))) # label(t79_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11892 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & E = D & r1_tarski(D,C) -> (v1_tops_1(E,B) & v1_tops_1(C,A) <-> v1_tops_1(D,A))))))))))))) # label(t60_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11893 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & B = k5_subset_1(u1_struct_0(A),C,k4_subset_1(u1_struct_0(A),B,D)) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),C,D) & r1_xboole_0(C,D) & v1_tops_1(D,A) & v2_tops_1(C,A) & v4_pre_topc(C,A)))))) & v3_tops_1(B,A)))))) # label(t52_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11894 (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))) -> -(v1_tops_3(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(C,A) & v1_tops_1(C,A) & r1_xboole_0(C,D) & B = k4_subset_1(u1_struct_0(A),C,D) & v3_tops_1(D,A))))))))))) # label(t49_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11895 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(C,D) & u1_struct_0(A) != D & v4_pre_topc(D,A) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,D)))) & u1_struct_0(A) != C)))))))) # label(t42_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11896 (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))) -> (v1_tops_3(B,A) & v3_tops_1(C,A) -> v1_tops_3(k6_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t48_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11897 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) | v1_tops_1(C,A) -> v1_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t21_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11898 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> k1_tops_1(A,C) = k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B))))) <-> v2_tops_1(B,A)))))) # label(t14_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11899 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v1_tops_1(C,A) -> v1_tops_1(D,B)))))))))) # label(t83_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11900 (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))) -> (v3_tops_1(B,A) <-> v1_tops_3(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t40_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11901 (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))) -> (v1_tops_1(B,A) <-> v2_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t18_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11902 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(B,k1_tops_1(A,k6_pre_topc(A,B))) -> k1_xboole_0 = k1_tops_1(A,k6_pre_topc(A,B))))))) # label(t7_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11903 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (E = D & r1_tarski(D,C) & r1_tarski(C,u1_struct_0(B)) & v3_pre_topc(C,A) -> (v1_tops_1(C,A) & v1_tops_3(E,B) <-> v1_tops_3(D,A))))))))))))) # label(t62_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11904 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_tops_3(C,A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & r1_tarski(C,D) -> v1_tops_3(D,B)))))))))) # label(t85_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11905 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v2_tops_1(D,B) <-> v2_tops_1(C,A))))))))))) # label(t67_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11906 (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(k1_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k1_tops_1(A,C))))))))) # label(t4_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11907 (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))) -> -(v3_tops_1(B,A) & v1_tops_1(B,A)))))) # label(t25_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11908 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(C,A) & v1_tops_3(B,A) -> v1_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t45_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11909 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & D = E & v4_pre_topc(C,A) -> k6_pre_topc(A,D) = k6_pre_topc(B,E)))))))))))) # label(t54_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11910 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k6_pre_topc(A,C) = k6_pre_topc(B,D)))))))))) # label(t55_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11911 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,k1_tops_1(A,B))) = k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B))))))))) # label(t6_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11912 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_3(B,A) & v2_tops_1(B,A)))))) # label(t37_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11913 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) & r1_tarski(C,B) -> v2_tops_1(C,A)))))))) # label(t11_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11914 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(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))) -> (r1_tarski(D,C) -> r1_tarski(k6_pre_topc(B,D),k6_pre_topc(A,C))))))))))) # label(t53_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11915 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & r1_tarski(C,D) -> r1_tarski(k6_pre_topc(A,C),k6_pre_topc(B,D))))))))))) # label(t81_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11916 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(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))) -> (v1_tops_1(C,A) & r1_tarski(C,D) -> v1_tops_1(D,B)))))))))) # label(t59_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11917 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v2_tops_1(k1_pre_topc(A),A))) # label(t9_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11918 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) | v2_tops_1(C,A) -> v2_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t15_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11919 (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(k5_subset_1(u1_struct_0(A),k1_tops_1(A,B),k6_pre_topc(A,C)),k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C))))))))) # label(t3_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11920 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k1_tops_1(B,D) = k1_tops_1(A,C)))))) & u1_struct_0(B) = u1_struct_0(A) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))))) # label(t74_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11921 (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))) -> (v1_tops_3(B,A) -> v1_tops_1(B,A)))))) # label(t33_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11922 (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))) -> (v3_tops_1(B,A) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,C) & v4_pre_topc(C,A) & v2_tops_1(C,A)))))))) # label(t27_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11923 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) <-> v1_tops_1(k1_tops_1(A,B),A)))))) # label(t35_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11924 (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,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (E = D & v3_tops_1(D,A) & r1_tarski(D,C) & r1_tarski(C,u1_struct_0(B)) & v3_pre_topc(C,A) -> v3_tops_1(E,B)))))))))))) # label(t69_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11925 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(D,C) & v2_tops_1(D,A) & E = D & r1_tarski(C,u1_struct_0(B)) & v3_pre_topc(C,A) -> v2_tops_1(E,B)))))))))))) # label(t66_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11926 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> k1_tops_1(B,D) = k1_tops_1(A,C)))))))))) # label(t77_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11927 (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))) -> (v1_tops_3(B,A) <-> v3_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t39_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11928 (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)) = k2_pre_topc(A) <-> v1_tops_3(B,A)))))) # label(d4_tops_3) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11929 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m3_lattice4(C,A) -> ((all D (m3_lattice4(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) <-> k3_lattice4(A,B) = C))))))) # label(d15_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11930 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k7_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k7_lattices(A,D)))) <-> r4_lattice4(A,B,C)))))))) # label(d9_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11931 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_lattices(A,k2_lattice4(A,B)) = k2_lattice2(u1_struct_0(A),A,B,k5_lattice4(A)))))) # label(t48_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11932 (all A all B all C (-v3_struct_0(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(C) & v17_lattices(B) & v10_lattices(B) -> (r2_hidden(A,a_2_0_lattice4(B,C)) <-> (exists D exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(D,C) & r2_hidden(E,C) & k4_filter_0(B,D,E) = A & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11933 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) -> (r2_hidden(k5_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> r2_hidden(k1_lattice4(A,C),B))))))))) # label(t24_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11934 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v14_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r2_lattice4(B,A,C) & v14_lattices(A)))))))) # label(t25_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11935 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_lattice4(E,A,B) -> (v1_lattice4(E,A,B) -> (r3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) <-> r3_lattices(A,C,D))))))))))))) # label(t8_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11936 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> k4_lattice4(A,B) = a_2_0_lattice4(A,B))))) # label(d16_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11937 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k2_lattice4(A,B) = k3_lattice2(u1_struct_0(A),A,B,k7_grcat_1(A)))))) # label(d13_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11938 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_filter_0(A,D),B))) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(r2_hidden(E,B) & r3_lattices(A,k4_lattices(A,D,E),C))))))))))))) # label(t6_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11939 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m3_lattice4(B,A) -> m2_lattice4(B,A))))) # label(t42_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11940 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) -> (r2_hidden(k6_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> r2_hidden(k2_lattice4(A,C),B))))))))) # label(t31_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11941 (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))) -> (m2_lattice4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k3_lattices(A,C,D),B) & r2_hidden(k4_lattices(A,C,D),B))))))))))) # label(d10_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11942 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_funct_1(C) <-> v1_lattice4(C,A,B)))))))) # label(d2_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11943 $T # label(t13_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11944 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_lattice4(A,k2_setwiseo(u1_struct_0(A),B)) = B)))) # label(t17_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11945 (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,k5_finsub_1(u1_struct_0(A))) -> k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),C,k2_setwiseo(u1_struct_0(A),B)),k5_lattice4(A)) = k3_lattices(A,k2_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)),k7_lattices(A,B)))))))) # label(t45_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11946 (all A all B (l3_lattices(B) & v17_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D ((exists E (m1_subset_1(E,u1_struct_0(B)) & A = k4_filter_0(B,D,E) & r2_hidden(D,C) & r2_hidden(E,C))) & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,k4_lattice4(B,C))))))) # label(t43_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11947 $T # label(t1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11948 (all A all B all C (v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v1_xboole_0(C) & m2_lattice4(C,B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & A = k2_lattice4(B,D) & r1_tarski(D,k4_lattice4(B,C)))) <-> r2_hidden(A,a_2_1_lattice4(B,C))))) # label(fraenkel_a_2_1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11949 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v17_lattices(A) -> -v1_xboole_0(k4_lattice4(A,B)))) # label(fc1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11950 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k5_lattices(A) = k7_lattices(A,k6_lattices(A)))) # label(t36_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.06 11951 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) & v10_lattices(A) -> m1_subset_1(k2_lattice4(A,B),u1_struct_0(A)))) # label(dt_k2_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11952 $T # label(t2_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11953 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (v1_lattice4(C,A,B) & v2_lattice4(C,A,B) <-> v3_lattice4(C,A,B)))))))) # label(d4_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11954 (all A all B (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> m3_lattice4(k3_lattice4(A,B),A))) # label(dt_k3_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11955 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_funct_1(k5_lattice4(A)) & v1_funct_2(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k5_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11956 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,k7_grcat_1(A)) = k1_lattice4(A,B))))) # label(t15_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11957 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) & v11_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k2_lattice4(A,B),C) = k2_lattice4(A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),k7_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),k7_grcat_1(A),C),B)))))))) # label(t32_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11958 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> k7_lattices(A,k5_lattices(A)) = k6_lattices(A))) # label(t37_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11959 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k1_lattice4(A,B) = k2_lattice2(u1_struct_0(A),A,B,k7_grcat_1(A)))))) # label(d12_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11960 (all A (-v3_struct_0(A) & v10_lattices(A) & v16_lattices(A) & l3_lattices(A) & v15_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & v17_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r4_lattice4(B,A,C) & v17_lattices(A)))))))) # label(t38_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11961 (all A -(A != k1_xboole_0 & (all B -(r1_tarski(B,A) & (all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(D,C))))) & v6_ordinal1(B) & k1_xboole_0 != B)) & (all B -((all C -(r2_hidden(C,A) & r1_tarski(B,C) & C != B)) & r2_hidden(B,A))))) # label(t3_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11962 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_lattice4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (exists E (k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = D & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t9_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11963 (all A (v10_lattices(A) & v15_lattices(A) & l3_lattices(A) & v16_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & v3_filter_0(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r3_lattices(A,k4_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F)) & v1_lattice4(C,B,A) -> r3_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_filter_0(B,D,F)))))))))))))))) # label(t34_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11964 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_lattices(A,k1_lattice4(A,B)) = k3_lattice2(u1_struct_0(A),A,B,k5_lattice4(A)))))) # label(t46_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11965 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> k5_lattices(A) = k1_lattice4(A,k1_setwiseo(u1_struct_0(A))))) # label(t23_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11966 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattice2(u1_struct_0(A),A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),C,B),D) = k3_lattice2(u1_struct_0(A),A,B,k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,D)))))))))) # label(t29_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11967 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m3_lattice4(u1_struct_0(A),A))) # label(t41_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11968 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (r2_hidden(k6_lattices(A),B) & r2_hidden(k5_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) -> -(r1_tarski(D,k4_lattice4(A,B)) & k2_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)) = k2_lattice4(A,D)))) & r1_tarski(C,k4_lattice4(A,B)))))))))) # label(t49_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11969 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (m1_lattice4(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_lattices(A,D,E)) = k4_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) & k3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_lattices(A,D,E))))))))))))) # label(d1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11970 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m3_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(dt_m3_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11971 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (exists C m1_lattice4(C,A,B)))) # label(existence_m1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11972 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11973 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k2_lattice4(A,B) = k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,k7_grcat_1(A)))))) # label(t14_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11974 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_lattices(A)) = k6_lattices(B) <-> r2_lattice4(A,B,C)))))))) # label(d7_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11975 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_lattice4(C,A,B) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_lattices(A)) = k5_lattices(B) <-> r3_lattice4(A,B,C)))))))) # label(d8_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11976 (all A all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all C (m1_lattice4(C,A,B) -> 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)))))) # label(dt_m1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11977 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) & l3_lattices(A) -> m1_subset_1(k1_lattice4(A,B),u1_struct_0(A)))) # label(dt_k1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11978 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (r1_filter_1(A,B) <-> (exists C (v3_lattice4(C,A,B) & m1_lattice4(C,A,B)))))))) # label(d5_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11979 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v2_filter_0(k1_filter_0(A),A))) # label(t4_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11980 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_lattice4(B,A))))) # label(t11_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11981 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(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) -> (B = k5_lattice4(A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k7_lattices(A,C)))))))) # label(d17_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11982 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (r2_hidden(k5_lattices(A),B) & r2_hidden(k6_lattices(A),B) -> a_2_1_lattice4(A,B) = k3_lattice4(A,B)))))) # label(t50_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11983 (all A (v10_lattices(A) & l3_lattices(A) & v13_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)) = k3_lattices(A,k1_lattice4(A,B),k1_lattice4(A,C)))))))) # label(t22_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11984 (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)) -> (all D (m3_lattice4(D,A) -> (r2_hidden(B,D) & r2_hidden(C,D) -> r2_hidden(k4_filter_0(A,B,C),D)))))))))) # label(t40_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11985 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_lattice4(A,k2_setwiseo(u1_struct_0(A),B)) = B)))) # label(t16_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11986 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_lattice4(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k4_filter_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_filter_0(A,D,E)))))) <-> r1_lattice4(A,B,C)))))))) # label(d6_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11987 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (exists B (m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11988 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))) = k3_lattices(A,k1_lattice4(A,B),C))))))) # label(t21_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11989 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,B,D),k8_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)))))))))) # label(t27_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11990 (all A (v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattices(A,k2_lattice2(u1_struct_0(A),A,B,D),k8_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) = k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D))))))))) # label(t20_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11991 (all A (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))) = k4_lattices(A,k2_lattice4(A,B),C))))))) # label(t28_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11992 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k7_lattices(A,C),B) & r2_hidden(k4_lattices(A,C,D),B)))))) <-> m3_lattice4(B,A)))))) # label(d14_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11993 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v11_lattices(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> v11_lattices(A)))))))) # label(t18_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11994 (all A (v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k2_lattice4(A,k1_setwiseo(u1_struct_0(A))) = k6_lattices(A))) # label(t26_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11995 (all A all B (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v10_lattices(A) -> m1_subset_1(k4_lattice4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11996 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_lattice4(E,A,B) -> (r3_lattices(A,C,D) -> r3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D))))))))))))) # label(t7_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11997 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> r1_tarski(B,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C))) & r1_tarski(C,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C))))))))) # label(t5_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11998 (all A (-v3_struct_0(A) & l3_lattices(A) & v16_lattices(A) & v15_lattices(A) & v10_lattices(A) -> (all B (v3_filter_0(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r3_lattices(A,k4_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_filter_0(B,D,E))),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)))))))))))) # label(t33_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 11999 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k4_lattices(A,k2_lattice4(A,B),k2_lattice4(A,C)) = k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)))))))) # label(t30_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12000 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k4_lattice4(A,B)) <-> (exists D ((exists E (r2_hidden(E,B) & r2_hidden(D,B) & C = k3_lattices(A,k7_lattices(A,D),E) & m1_subset_1(E,u1_struct_0(A)))) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(t44_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12001 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m3_lattice4(D,A) -> (r2_hidden(B,D) & r2_hidden(C,D) -> r2_hidden(k3_lattices(A,B,C),D)))))))))) # label(t39_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12002 $T # label(d11_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12003 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (exists B m3_lattice4(B,A)))) # label(existence_m3_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12004 (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,k5_finsub_1(u1_struct_0(A))) -> k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),C,k2_setwiseo(u1_struct_0(A),B)),k5_lattice4(A)) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)),k7_lattices(A,B)))))))) # label(t47_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12005 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v16_lattices(A) & v15_lattices(A) -> (all B (v3_filter_0(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v3_lattice4(C,B,A) -> v3_filter_0(A) & r1_lattice4(B,A,C)))))))) # label(t35_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12006 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v13_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> v13_lattices(A) & r3_lattice4(B,A,C)))))))) # label(t19_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12007 $T # label(t12_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12008 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12009 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (u1_struct_0(B) = k2_relat_1(C) <-> v2_lattice4(C,A,B)))))))) # label(d3_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12010 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m2_lattice4(u1_struct_0(A),A))) # label(t10_lattice4) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12011 (all A all B all C (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & -v3_realset2(B) & v17_lattices(B) & v10_lattices(B) -> (r2_hidden(A,a_2_0_lopclset(B,C)) <-> (exists D (v1_filter_0(D,B) & r2_hidden(C,D) & A = D & m1_filter_0(D,B)))))) # label(fraenkel_a_2_0_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12012 (all A (v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_filter_0(C,A) -> (r2_hidden(C,k1_funct_1(k8_lopclset(A),B)) <-> r2_hidden(B,C) & v1_filter_0(C,A)))))))) # label(t21_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12013 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & -v3_struct_0(A) -> u1_struct_0(k12_lopclset(A)) = k2_relat_1(k13_lopclset(A)))) # label(t41_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12014 (all A all B (v10_lattices(B) & l3_lattices(B) & -v3_realset2(B) & v17_lattices(B) & -v3_struct_0(B) -> -((all C (m1_subset_1(C,k5_finsub_1(A)) -> k3_tarski(C) != k7_lopclset(B))) & m1_subset_1(A,k1_zfmisc_1(k10_lopclset(B))) & k7_lopclset(B) = k3_tarski(A)))) # label(t38_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12015 (all A (-v1_xboole_0(A) -> -(all B (m1_subset_1(B,k5_finsub_1(A)) -> v1_xboole_0(B))))) # label(t32_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12016 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_2(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> k2_binop_1(k1_lopclset(A),k1_lopclset(A),k1_lopclset(A),B,C,D) = k3_lopclset(A,C,D))))) <-> B = k5_lopclset(A)))))) # label(d3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12017 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all C (m1_subset_1(C,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all E (m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (D = B & C = E -> k1_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)),B,C) = k2_lopclset(A,D,E)))))))))))) # label(t5_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12018 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m2_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(t7_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12019 (all A (v10_lattices(A) & -v3_realset2(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)) -> k1_funct_1(k8_lopclset(A),k3_lattices(A,B,C)) = k2_xboole_0(k1_funct_1(k8_lopclset(A),B),k1_funct_1(k8_lopclset(A),C)))))))) # label(t24_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12020 (exists A (v11_lattices(A) & v12_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v16_lattices(A) & v15_lattices(A) & v14_lattices(A) & v13_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc1_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12021 (all A all B (v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v3_realset2(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> ((exists D (A = D & v1_filter_0(D,B) & r2_hidden(C,D) & m1_filter_0(D,B))) <-> r2_hidden(A,k1_funct_1(k8_lopclset(B),C))))))) # label(t20_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12022 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) -> v2_funct_1(k9_lopclset(A)))) # label(t29_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12023 (all A (v10_lattices(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & -v3_struct_0(A) -> r1_filter_1(A,k12_lopclset(A)))) # label(t43_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12024 (all A (-v3_struct_0(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (v1_filter_0(D,A) -> (r2_hidden(B,D) | r2_hidden(C,D) <-> r2_hidden(k3_lattices(A,B,C),D))))))))))) # label(t22_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12025 (all A (v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k10_lopclset(A)))) # label(fc3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12026 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) -> k7_lopclset(A) = a_1_1_lopclset(A))) # label(d5_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12027 (all A (-v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_lattice4(k13_lopclset(A),A,k12_lopclset(A)))) # label(dt_k13_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12028 $T # label(t39_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12029 (all A all B (l1_pre_topc(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_lopclset(B)) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C & v4_pre_topc(C,B) & v3_pre_topc(C,B)))))) # label(fraenkel_a_1_0_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12030 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_xboole_0(k1_funct_1(k8_lopclset(A),B),k1_funct_1(k8_lopclset(A),C)) = k1_funct_1(k8_lopclset(A),k4_lattices(A,B,C)))))))) # label(t23_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12031 $T # label(t1_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12032 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k1_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12033 (all A all B (-v3_struct_0(B) & -v3_realset2(B) & l3_lattices(B) & v17_lattices(B) & v10_lattices(B) -> (r2_hidden(A,k10_lopclset(B)) <-> (exists C (A = k8_funct_2(u1_struct_0(B),k1_zfmisc_1(k7_lopclset(B)),k9_lopclset(B),C) & m1_subset_1(C,u1_struct_0(B))))))) # label(t26_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12034 (all A (v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> r1_tarski(k10_lopclset(A),k1_zfmisc_1(k7_lopclset(A))))) # label(t25_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12035 (all A (v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> v2_pre_topc(k11_lopclset(A)) & v1_pre_topc(k11_lopclset(A)) & -v3_struct_0(k11_lopclset(A)))) # label(fc4_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12036 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> v17_lattices(k6_lopclset(A)))) # label(t14_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12037 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & r1_filter_1(A,k6_lopclset(B)))))) # label(t44_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12038 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_subset_1(k1_pre_topc(A),u1_struct_0(k6_lopclset(A))))) # label(t16_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12039 (all A (v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A)) = k7_lopclset(A))) # label(t37_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12040 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k6_lopclset(A))) -> (all C (m1_subset_1(C,u1_struct_0(k6_lopclset(A))) -> k3_lattices(k6_lopclset(A),B,C) = k2_xboole_0(B,C))))))) # label(t11_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12041 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) -> v1_pre_topc(k11_lopclset(A)) & l1_pre_topc(k11_lopclset(A)) & v2_pre_topc(k11_lopclset(A)))) # label(dt_k11_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12042 $T # label(t31_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12043 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) & v2_pre_topc(A) -> B = k2_lopclset(A,B,B))) # label(idempotence_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12044 (all A all B all C (v2_pre_topc(A) & m1_subset_1(C,k1_lopclset(A)) & m1_subset_1(B,k1_lopclset(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> m2_subset_1(k3_lopclset(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(dt_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12045 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m1_subset_1(k2_pre_topc(A),u1_struct_0(k6_lopclset(A))))) # label(t15_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12046 (all A (-v3_struct_0(A) & v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_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,k5_finsub_1(u1_struct_0(A))) & -v1_xboole_0(C) -> -(k2_lattice4(A,C) = k5_lattices(A) & r1_tarski(C,B)))) & r2_hidden(k5_lattices(A),k3_filter_0(A,B))))))) # label(t34_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12047 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k5_finsub_1(A)) & v1_finset_1(B) & -v1_xboole_0(B))))) # label(rc2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12048 (all A (v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k6_lopclset(k11_lopclset(A)) = k12_lopclset(A))) # label(d9_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12049 (all A all B (v10_lattices(B) & v17_lattices(B) & -v3_realset2(B) & l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_1_lopclset(B)) <-> (exists C (m1_filter_0(C,B) & A = C & v1_filter_0(C,B)))))) # label(fraenkel_a_1_1_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12050 (all A (v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_tarski(k10_lopclset(A)) = k7_lopclset(A))) # label(t30_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12051 (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))) -> (r2_hidden(B,k1_lopclset(A)) -> v3_pre_topc(B,A)))))) # label(t2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12052 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -(v1_filter_0(B,A) & r2_hidden(k5_lattices(A),B)))))) # label(t35_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12053 (all A all B all C (l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & v2_pre_topc(A) & -v3_struct_0(A) -> k3_lopclset(A,B,C) = k3_lopclset(A,C,B))) # label(commutativity_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12054 (all A (-v3_struct_0(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) -> v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))) & m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))) & v1_funct_1(k9_lopclset(A)))) # label(dt_k9_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12055 (all A all B all C (v2_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> k2_lopclset(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12056 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (v1_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (u1_pre_topc(B) = a_1_2_lopclset(A) & u1_struct_0(B) = k7_lopclset(A) <-> k11_lopclset(A) = B))))) # label(d8_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12057 (all A all B all C (-v3_struct_0(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & v2_pre_topc(A) -> k3_lopclset(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12058 $T # label(t17_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12059 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_lopclset(A)))) # label(fc1_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12060 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> v1_relat_1(k8_lopclset(A)) & v1_funct_1(k8_lopclset(A)))) # label(dt_k8_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12061 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> -v3_struct_0(k6_lopclset(A)) & v10_lattices(k6_lopclset(A)) & l3_lattices(k6_lopclset(A)))) # label(dt_k6_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12062 (all A (-v3_struct_0(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_filter_0(C,A) -> -(-r2_hidden(C,k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)) & r2_hidden(B,C) & v1_filter_0(C,A)))))))) # label(t27_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12063 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(C,k1_lopclset(A)) & m1_subset_1(B,k1_lopclset(A)) & -v3_struct_0(A) -> B = k3_lopclset(A,B,B))) # label(idempotence_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12064 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) = k6_lopclset(A))) # label(d4_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12065 (all A all B (v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v3_realset2(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_2_lopclset(B)) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(B)))) & k5_setfam_1(k7_lopclset(B),C) = A & r1_tarski(C,k10_lopclset(B))))))) # label(fraenkel_a_1_2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12066 (all A (-v3_struct_0(A) & v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) -> k10_lopclset(A) = k1_lopclset(k11_lopclset(A)))) # label(t40_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12067 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & -v3_realset2(B) & v17_lattices(B) -> ((exists C (A = C & v1_filter_0(C,B) & m1_filter_0(C,B))) <-> r2_hidden(A,k7_lopclset(B))))) # label(t18_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12068 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> k1_lopclset(A) = a_1_0_lopclset(A))) # label(d1_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12069 (all A (v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k7_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12070 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) -> m2_subset_1(k2_lopclset(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(dt_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12071 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> m2_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(t8_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12072 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all C (m1_subset_1(C,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all E (m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (B = D & E = C -> k3_lopclset(A,D,E) = k2_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)),B,C)))))))))))) # label(t6_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12073 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m2_relset_1(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_1(B) -> (k4_lopclset(A) = B <-> (all C (m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> k2_binop_1(k1_lopclset(A),k1_lopclset(A),k1_lopclset(A),B,C,D) = k2_lopclset(A,C,D)))))))))) # label(d2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12074 (all A (v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k12_lopclset(A)) & v10_lattices(k12_lopclset(A)) & l3_lattices(k12_lopclset(A)))) # label(dt_k12_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12075 (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))) -> (v4_pre_topc(B,A) & v3_pre_topc(B,A) -> r2_hidden(B,k1_lopclset(A))))))) # label(t4_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12076 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(a_2_0_lopclset(A,B),k7_lopclset(A)))))) # label(t19_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12077 (all A (-v3_struct_0(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) -> v3_lattice4(k13_lopclset(A),A,k12_lopclset(A)))) # label(t42_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12078 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_subset_1(B,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> m2_subset_1(k3_subset_1(u1_struct_0(A),B),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))))) # label(t9_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12079 (all A all B all C (m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> k2_lopclset(A,C,B) = k2_lopclset(A,B,C))) # label(commutativity_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12080 (all A (-v3_struct_0(A) & v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) -> k1_xboole_0 = k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A)))) # label(t36_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12081 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) -> k10_lopclset(A) = k2_relat_1(k9_lopclset(A)))) # label(d7_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12082 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> v1_funct_1(k5_lopclset(A)) & v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))) # label(dt_k5_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12083 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k6_lopclset(A))) -> (all C (m1_subset_1(C,u1_struct_0(k6_lopclset(A))) -> k4_lattices(k6_lopclset(A),B,C) = k3_xboole_0(B,C))))))) # label(t12_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12084 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> u1_struct_0(k6_lopclset(A)) = k1_lopclset(A))) # label(t13_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12085 (all A (-v3_struct_0(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) -> -v1_xboole_0(k7_lopclset(A)))) # label(fc2_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12086 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))) & v10_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))) & l3_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))))) # label(t10_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.07 12087 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> k9_lopclset(A) = k8_lopclset(A))) # label(redefinition_k9_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12088 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_1(k4_lopclset(A)))) # label(dt_k4_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12089 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (u1_struct_0(A) = k1_relat_1(B) & (all C (m1_subset_1(C,u1_struct_0(A)) -> a_2_0_lopclset(A,C) = k1_funct_1(B,C))) <-> B = k8_lopclset(A)))))) # label(d6_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12090 $T # label(t33_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12091 (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))) -> (r2_hidden(B,k1_lopclset(A)) -> v4_pre_topc(B,A)))))) # label(t3_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12092 $T # label(dt_k10_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12093 (all A (-v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k8_lopclset(A) = k13_lopclset(A))) # label(redefinition_k13_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12094 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)) = k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)))))) # label(t28_lopclset) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12095 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v6_unialg_1(k1_funct_1(A,B)) & l1_unialg_1(k1_funct_1(A,B)) & v8_unialg_1(k1_funct_1(A,B)) & v7_unialg_1(k1_funct_1(A,B)) & -v3_struct_0(k1_funct_1(A,B)))) <-> v1_pralg_1(A)))) # label(d10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12096 (all A all B all C (v2_relat_1(B) & v4_pralg_1(C) & m1_pralg_1(C,A,B) & m1_pboole(B,A) & -v1_xboole_0(A) -> v1_funct_1(k22_pralg_1(A,B,C)) & v1_unialg_1(k22_pralg_1(A,B,C),k4_card_3(B)) & m2_relset_1(k22_pralg_1(A,B,C),k3_finseq_2(k4_card_3(B)),k4_card_3(B)) & v2_unialg_1(k22_pralg_1(A,B,C),k4_card_3(B)) & -v1_xboole_0(k22_pralg_1(A,B,C)))) # label(dt_k22_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12097 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_pralg_1(A) -> v1_funct_1(A) & v2_pralg_1(A) & v1_relat_1(A))) # label(cc1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12098 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k3_finseq_2(A)) & v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) & -v1_xboole_0(B))))) # label(rc2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12099 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v3_pralg_1(B) & v1_pralg_1(B) -> (all C (m2_finseq_1(C,k4_partfun1(k13_finseq_1(k4_card_3(k12_pralg_1(A,B))),k4_card_3(k12_pralg_1(A,B)))) -> (k3_finseq_1(k13_pralg_1(A,B)) = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> k22_pralg_1(A,k12_pralg_1(A,B),k23_pralg_1(A,B,D)) = k1_funct_1(C,D)))) <-> C = k24_pralg_1(A,B)))))))) # label(d23_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12100 (all A all B (m1_pboole(B,A) & v2_relat_1(B) & -v1_xboole_0(A) -> (exists C m1_pralg_1(C,A,B)))) # label(existence_m1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12101 (all A (v4_ordinal2(A) -> -v1_xboole_0(k7_pralg_1(A)) & v1_relat_1(k7_pralg_1(A)) & v1_funct_1(k7_pralg_1(A)) & v1_unialg_1(k7_pralg_1(A),k1_tarski(k1_xboole_0)) & v2_unialg_1(k7_pralg_1(A),k1_tarski(k1_xboole_0)))) # label(fc1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12102 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(C,k4_card_3(B)) & m1_pboole(B,A) & v2_relat_1(B) -> k4_funct_5(C) = k17_pralg_1(A,B,C))) # label(redefinition_k17_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12103 (all A (-v3_struct_0(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v6_unialg_1(A) -> (all B (v8_unialg_1(B) & l1_unialg_1(B) & v7_unialg_1(B) & v6_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> v3_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v7_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v8_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & l1_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v6_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & -v3_struct_0(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B)))))))) # label(t2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12104 (all A (-v1_xboole_0(A) -> (all B (v2_relat_1(B) & m1_pboole(B,A) -> (all C (m1_pralg_1(C,A,B) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_unialg_1(k1_funct_1(B,E),k14_pralg_1(A,B,C,E)) = k2_unialg_1(k1_funct_1(B,D),k14_pralg_1(A,B,C,D)))))) <-> v4_pralg_1(C)))))))) # label(t12_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12105 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v3_pralg_1(B) & v1_pralg_1(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(C,k4_finseq_1(k13_pralg_1(A,B))) -> (all D (v4_pralg_1(D) & m1_pralg_1(D,A,k12_pralg_1(A,B)) -> (D = k23_pralg_1(A,B,C) <-> (all E (m1_subset_1(E,A) -> (all F (m2_unialg_2(F,u1_struct_0(k11_pralg_1(A,B,E)),k1_unialg_2(k11_pralg_1(A,B,E))) -> (F = k1_funct_1(u1_unialg_1(k11_pralg_1(A,B,E)),C) -> F = k14_pralg_1(A,k12_pralg_1(A,B),D,E)))))))))))))))) # label(d22_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12106 (all A (m1_finseq_1(A,k5_numbers) -> m2_finseq_1(k8_pralg_1(A),k4_partfun1(k13_finseq_1(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))))) # label(dt_k8_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12107 (all A all B (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) -> (all C (m1_pralg_1(C,A,B) -> m1_pboole(C,A) & v1_funcop_1(C))))) # label(dt_m1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12108 (all A all B all C (v1_pralg_1(B) & m1_pboole(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k1_funct_1(B,C) = k11_pralg_1(A,B,C))) # label(redefinition_k11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12109 (all A all B (-v1_xboole_0(A) & m1_pboole(B,A) & v2_relat_1(B) -> (exists C (v1_funcop_1(C) & v4_pralg_1(C) & v1_funct_1(C) & v1_relat_1(C) & m1_pralg_1(C,A,B))))) # label(rc6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12110 (all A all B all C all D (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) & m1_subset_1(D,A) & m1_pralg_1(C,A,B) -> k1_funct_1(C,D) = k14_pralg_1(A,B,C,D))) # label(redefinition_k14_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12111 (all A all B (-v1_xboole_0(A) & m1_pboole(B,A) & v3_pralg_1(B) & v1_pralg_1(B) -> m2_finseq_1(k13_pralg_1(A,B),k5_numbers))) # label(dt_k13_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12112 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & v1_funct_1(C) & v2_unialg_1(C,A) & m2_relset_1(C,k3_finseq_2(A),A) & v1_unialg_1(C,A) -> (all D (-v1_xboole_0(D) & v1_unialg_1(D,B) & m2_relset_1(D,k3_finseq_2(B),B) & v2_unialg_1(D,B) & v1_funct_1(D) -> (k2_unialg_1(B,D) = k2_unialg_1(A,C) -> (all E (v1_funct_1(E) & v2_unialg_1(E,k2_zfmisc_1(A,B)) & m2_relset_1(E,k3_finseq_2(k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v1_unialg_1(E,k2_zfmisc_1(A,B)) & -v1_xboole_0(E) -> ((all F (m2_finseq_1(F,k2_zfmisc_1(A,B)) -> (r2_hidden(F,k1_relat_1(E)) -> k1_funct_1(E,F) = k4_tarski(k1_funct_1(C,k1_pralg_1(A,B,F)),k1_funct_1(D,k2_pralg_1(A,B,F)))))) & k4_finseq_2(k2_unialg_1(A,C),k2_zfmisc_1(A,B)) = k1_relat_1(E) <-> E = k3_pralg_1(A,B,C,D))))))))))))) # label(d3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12113 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> (m1_pralg_1(C,A,B) <-> (all D (m1_subset_1(D,A) -> -v1_xboole_0(k1_funct_1(C,D)) & v1_funct_1(k1_funct_1(C,D)) & m2_relset_1(k1_funct_1(C,D),k3_finseq_2(k1_funct_1(B,D)),k1_funct_1(B,D)) & v2_unialg_1(k1_funct_1(C,D),k1_funct_1(B,D)) & v1_unialg_1(k1_funct_1(C,D),k1_funct_1(B,D))))))))))) # label(d15_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12114 (all A (m2_finseq_1(A,k5_numbers) -> (all B (m2_finseq_1(B,k4_partfun1(k13_finseq_1(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k1_funct_1(A,C) = D -> k7_pralg_1(D) = k1_funct_1(B,C))))))) & k3_finseq_1(B) = k3_finseq_1(A) <-> k8_pralg_1(A) = B))))) # label(d8_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12115 (exists A (v1_funct_1(A) & v1_pralg_1(A) & v1_relat_1(A))) # label(rc3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12116 (all A all B all C all D (v2_relat_1(B) & m1_pralg_1(C,A,B) & m1_subset_1(D,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> -v1_xboole_0(k14_pralg_1(A,B,C,D)) & v1_funct_1(k14_pralg_1(A,B,C,D)) & m2_relset_1(k14_pralg_1(A,B,C,D),k3_finseq_2(k1_funct_1(B,D)),k1_funct_1(B,D)) & v2_unialg_1(k14_pralg_1(A,B,C,D),k1_funct_1(B,D)) & v1_unialg_1(k14_pralg_1(A,B,C,D),k1_funct_1(B,D)))) # label(dt_k14_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12117 (all A all B (m1_pboole(B,A) & v2_pralg_1(B) -> (all C (m1_pboole(C,A) -> (C = k12_pralg_1(A,B) <-> (all D -(r2_hidden(D,A) & (all E (l1_struct_0(E) -> -(E = k1_funct_1(B,D) & k1_funct_1(C,D) = u1_struct_0(E))))))))))) # label(d13_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12118 (all A all B all C (m1_finseq_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k1_pralg_1(A,B,C) = k15_mcart_1(C))) # label(redefinition_k1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12119 (all A all B all C (-v1_xboole_0(B) & m1_pboole(C,k2_zfmisc_1(A,B)) -> m1_pboole(k19_pralg_1(A,B,C),A))) # label(dt_k19_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12120 (all A (-v1_xboole_0(A) -> (exists B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) & -v1_xboole_0(B) & m1_finseq_1(B,A))))) # label(rc1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12121 (all A (-v3_struct_0(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> (all B (v7_unialg_1(B) & l1_unialg_1(B) & v8_unialg_1(B) & v6_unialg_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v7_unialg_1(C) & v8_unialg_1(C) & l1_unialg_1(C) & v6_unialg_1(C) -> (all D (v6_unialg_1(D) & v8_unialg_1(D) & l1_unialg_1(D) & v7_unialg_1(D) & -v3_struct_0(D) -> (m3_unialg_2(A,B) & r1_unialg_2(B,D) & m3_unialg_2(C,D) -> m3_unialg_2(k5_pralg_1(A,C),k5_pralg_1(B,D))))))))))) # label(t8_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12122 (all A all B (v3_pralg_1(B) & m1_pboole(B,A) & v1_pralg_1(B) & -v1_xboole_0(A) -> -v3_struct_0(k25_pralg_1(A,B)) & v3_unialg_1(k25_pralg_1(A,B)) & v6_unialg_1(k25_pralg_1(A,B)) & v7_unialg_1(k25_pralg_1(A,B)) & l1_unialg_1(k25_pralg_1(A,B)) & v8_unialg_1(k25_pralg_1(A,B)))) # label(dt_k25_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12123 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) -> m2_finseq_1(k2_pralg_1(A,B,C),B))) # label(dt_k2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12124 (all A (v1_relat_1(A) & v1_funcop_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) -> (k15_pralg_1(A,B) = C <-> k1_relat_1(C) = k1_relat_1(A) & (all D (r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D)))))))))) # label(d17_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12125 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> m1_pboole(k18_pralg_1(A,B,C),k2_zfmisc_1(B,A)))) # label(dt_k18_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12126 (all A all B all C (-v1_xboole_0(A) & m1_pboole(B,A) & m1_subset_1(C,A) & v2_pralg_1(B) -> l1_struct_0(k10_pralg_1(A,B,C)))) # label(dt_k10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12127 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) -> m2_finseq_1(k1_pralg_1(A,B,C),A))) # label(dt_k1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12128 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,k2_zfmisc_1(A,B)) -> (all D (m2_finseq_1(D,B) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(D)) -> k1_funct_1(D,E) = k2_mcart_1(k1_funct_1(C,E))))) & k3_finseq_1(C) = k3_finseq_1(D) <-> k2_pralg_1(A,B,C) = D))))))))) # label(d2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12129 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> k2_funct_4(C) = k18_pralg_1(A,B,C))) # label(redefinition_k18_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12130 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k6_pralg_1(A,B)) & v1_funct_2(k6_pralg_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & m2_relset_1(k6_pralg_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)))) # label(dt_k6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12131 (all A all B all C (v2_pralg_1(B) & m1_pboole(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k10_pralg_1(A,B,C) = k1_funct_1(B,C))) # label(redefinition_k10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12132 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (v4_pralg_1(C) & m1_pralg_1(C,A,B) -> (all D (v1_funct_1(D) & v1_unialg_1(D,k4_card_3(B)) & v2_unialg_1(D,k4_card_3(B)) & m2_relset_1(D,k3_finseq_2(k4_card_3(B)),k4_card_3(B)) & -v1_xboole_0(D) -> (k1_relat_1(D) = k4_finseq_2(k20_pralg_1(A,B,C),k4_card_3(B)) & (all E (m2_finseq_2(E,k4_card_3(B),k3_finseq_2(k4_card_3(B))) -> (r2_hidden(E,k1_relat_1(D)) -> (k4_finseq_1(E) != k1_xboole_0 -> (all F (-v1_xboole_0(F) -> (all G (m1_pboole(G,k2_zfmisc_1(A,F)) -> (G = k18_pralg_1(k4_finseq_1(E),A,k17_pralg_1(A,B,E)) & k4_finseq_1(E) = F -> k16_pralg_1(A,C,k19_pralg_1(A,F,G)) = k1_funct_1(D,E))))))) & (k1_xboole_0 = k4_finseq_1(E) -> k1_funct_1(D,E) = k16_pralg_1(A,C,k21_pralg_1(A,B)))))) <-> D = k22_pralg_1(A,B,C)))))))))) # label(d21_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12133 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) -> (all B (v7_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) & v6_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> (all C (m2_unialg_2(C,u1_struct_0(A),k1_unialg_2(A)) -> (all D (m2_unialg_2(D,u1_struct_0(B),k1_unialg_2(B)) -> (all E (m2_unialg_2(E,u1_struct_0(k5_pralg_1(A,B)),k1_unialg_2(k5_pralg_1(A,B))) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (k1_funct_1(u1_unialg_1(k5_pralg_1(A,B)),F) = E & r2_hidden(F,k4_finseq_1(u1_unialg_1(A))) & k1_funct_1(u1_unialg_1(B),F) = D & C = k1_funct_1(u1_unialg_1(A),F) -> E = k3_pralg_1(u1_struct_0(A),u1_struct_0(B),C,D) & k2_unialg_1(u1_struct_0(B),D) = k2_unialg_1(u1_struct_0(k5_pralg_1(A,B)),E) & k2_unialg_1(u1_struct_0(k5_pralg_1(A,B)),E) = k2_unialg_1(u1_struct_0(A),C))))))))))))))) # label(t6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12134 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_pralg_1(A) <-> (all B all C (r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,k1_relat_1(A)) -> (all D (l1_unialg_1(D) & v8_unialg_1(D) & v7_unialg_1(D) & v6_unialg_1(D) & -v3_struct_0(D) -> (all E (v7_unialg_1(E) & l1_unialg_1(E) & v8_unialg_1(E) & v6_unialg_1(E) & -v3_struct_0(E) -> (k1_funct_1(A,B) = D & E = k1_funct_1(A,C) -> k3_unialg_1(D) = k3_unialg_1(E))))))))))) # label(d12_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12135 (all A (m2_finseq_1(A,k5_numbers) -> v5_unialg_1(k8_pralg_1(A),k1_tarski(k1_xboole_0)) & v2_relat_1(k8_pralg_1(A)) & v4_unialg_1(k8_pralg_1(A),k1_tarski(k1_xboole_0)))) # label(t10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12136 (all A (-v1_xboole_0(A) -> (all B (v3_pralg_1(B) & m1_pboole(B,A) & v1_pralg_1(B) -> (all C (m2_finseq_1(C,k5_numbers) -> (k13_pralg_1(A,B) = C <-> (all D (m1_subset_1(D,A) -> C = k3_unialg_1(k11_pralg_1(A,B,D))))))))))) # label(d14_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12137 (all A (-v1_xboole_0(A) -> (exists B (v1_relat_1(B) & v1_funct_1(B) & v1_pralg_1(B) & v3_pralg_1(B) & v2_pralg_1(B) & m1_pboole(B,A))))) # label(rc5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12138 (all A (v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) & v7_unialg_1(B) -> (r1_unialg_2(A,B) -> r1_unialg_2(k5_pralg_1(A,B),A)))))) # label(t7_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12139 (all A (-v1_xboole_0(A) -> (all B (v3_pralg_1(B) & m1_pboole(B,A) & v1_pralg_1(B) -> g1_unialg_1(k4_card_3(k12_pralg_1(A,B)),k24_pralg_1(A,B)) = k25_pralg_1(A,B))))) # label(d24_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12140 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) -> k3_funct_5(C) = k19_pralg_1(A,B,C))) # label(redefinition_k19_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12141 (all A all B (m1_pboole(B,A) -> m1_pboole(k21_pralg_1(A,B),A))) # label(dt_k21_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12142 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> k9_funcop_1(k2_zfmisc_1(A,B),B,A,k6_pralg_1(A,B)) = k2_zfmisc_1(B,A))))) # label(t3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12143 (all A (m2_finseq_1(A,k5_numbers) -> (A != k1_xboole_0 -> -v3_struct_0(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v3_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v6_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v7_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & l1_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v8_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A)))))) # label(t11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12144 (all A (v4_ordinal2(A) -> (all B (m2_relset_1(B,k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0)) & v1_funct_1(B) -> (k1_tarski(k2_finseq_2(A,k1_xboole_0)) = k1_relat_1(B) & k2_relat_1(B) = k1_tarski(k1_xboole_0) <-> k7_pralg_1(A) = B))))) # label(d7_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12145 (all A all B (v1_funct_1(A) & v1_funcop_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_relat_1(A) -> v1_relat_1(k15_pralg_1(A,B)) & v1_funct_1(k15_pralg_1(A,B)))) # label(dt_k15_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12146 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (v4_pralg_1(C) & m1_pralg_1(C,A,B) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k20_pralg_1(A,B,C) = D <-> (all E (m1_subset_1(E,A) -> k2_unialg_1(k1_funct_1(B,E),k14_pralg_1(A,B,C,E)) = D))))))))))) # label(d19_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12147 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) -> (all B (v6_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) & v7_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B)) = k5_pralg_1(A,B)))))) # label(d5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12148 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) -> k16_mcart_1(C) = k2_pralg_1(A,B,C))) # label(redefinition_k2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12149 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> v2_funct_1(k6_pralg_1(A,B)))))) # label(t4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12150 (all A (m2_finseq_1(A,k5_numbers) & -v1_xboole_0(A) -> k9_pralg_1(A) = g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A)))) # label(d9_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12151 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,k2_zfmisc_1(A,B)) -> (all D (m2_finseq_1(D,A) -> (k3_finseq_1(C) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(D)) -> k1_funct_1(D,E) = k1_mcart_1(k1_funct_1(C,E))))) <-> k1_pralg_1(A,B,C) = D))))))))) # label(d1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12152 (all A (v4_ordinal2(A) -> m2_relset_1(k7_pralg_1(A),k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0)) & v1_funct_1(k7_pralg_1(A)))) # label(dt_k7_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12153 (all A (m1_finseq_1(A,k5_numbers) & -v1_xboole_0(A) -> v3_unialg_1(k9_pralg_1(A)) & v6_unialg_1(k9_pralg_1(A)) & v7_unialg_1(k9_pralg_1(A)) & l1_unialg_1(k9_pralg_1(A)) & v8_unialg_1(k9_pralg_1(A)) & -v3_struct_0(k9_pralg_1(A)))) # label(dt_k9_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12154 (all A all B all C all D (-v1_xboole_0(C) & v1_funct_1(C) & v1_unialg_1(C,A) & -v1_xboole_0(D) & v1_unialg_1(D,B) & v2_unialg_1(D,B) & m1_relset_1(D,k3_finseq_2(B),B) & v1_funct_1(D) & m1_relset_1(C,k3_finseq_2(A),A) & v2_unialg_1(C,A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_unialg_1(k3_pralg_1(A,B,C,D),k2_zfmisc_1(A,B)) & m2_relset_1(k3_pralg_1(A,B,C,D),k3_finseq_2(k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v2_unialg_1(k3_pralg_1(A,B,C,D),k2_zfmisc_1(A,B)) & v1_funct_1(k3_pralg_1(A,B,C,D)) & -v1_xboole_0(k3_pralg_1(A,B,C,D)))) # label(dt_k3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12155 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v1_funct_1(B) & v2_pralg_1(B))) # label(rc4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12156 (all A (v4_ordinal2(A) -> k2_unialg_1(k1_tarski(k1_xboole_0),k7_pralg_1(A)) = A)) # label(t9_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12157 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> (all B (v6_unialg_1(B) & l1_unialg_1(B) & v8_unialg_1(B) & v7_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> v1_funct_1(k6_pralg_1(u1_struct_0(A),u1_struct_0(B))) & v1_funct_2(k6_pralg_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k5_pralg_1(A,B)),u1_struct_0(k5_pralg_1(B,A))) & m2_relset_1(k6_pralg_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k5_pralg_1(A,B)),u1_struct_0(k5_pralg_1(B,A)))))))) # label(t5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12158 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v4_pralg_1(A) <-> (all B all C (r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,k1_relat_1(A)) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (E = k1_funct_1(A,C) & k1_funct_1(A,B) = D -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (-v1_xboole_0(H) -> (all I (-v1_xboole_0(I) -> (k1_relat_1(E) = k4_finseq_2(G,I) & k4_finseq_2(F,H) = k1_relat_1(D) -> (all J (v1_funct_1(J) & v1_unialg_1(J,H) & m2_relset_1(J,k3_finseq_2(H),H) & v2_unialg_1(J,H) & -v1_xboole_0(J) -> (all K (v1_unialg_1(K,I) & v2_unialg_1(K,I) & m2_relset_1(K,k3_finseq_2(I),I) & v1_funct_1(K) & -v1_xboole_0(K) -> (E = K & J = D -> k2_unialg_1(H,J) = k2_unialg_1(I,K))))))))))))))))))))))))) # label(d16_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12159 (all A all B all C (-v1_xboole_0(A) & v2_relat_1(B) & v4_pralg_1(C) & m1_pralg_1(C,A,B) & m1_pboole(B,A) -> m2_subset_1(k20_pralg_1(A,B,C),k1_numbers,k5_numbers))) # label(dt_k20_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12160 (all A all B (-v1_xboole_0(A) & m1_pboole(B,A) & v1_pralg_1(B) -> v2_relat_1(k12_pralg_1(A,B)) & -v3_relat_1(k12_pralg_1(A,B)) & v1_funct_1(k12_pralg_1(A,B)) & v1_relat_1(k12_pralg_1(A,B)))) # label(fc2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12161 (all A all B all C (-v1_xboole_0(A) & v1_pralg_1(B) & v3_pralg_1(B) & v4_ordinal2(C) & m1_pboole(B,A) -> m1_pralg_1(k23_pralg_1(A,B,C),A,k12_pralg_1(A,B)) & v4_pralg_1(k23_pralg_1(A,B,C)))) # label(dt_k23_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12162 (all A all B (-v1_xboole_0(A) & m1_pboole(B,A) & v2_relat_1(B) -> v1_fraenkel(k4_card_3(B)) & -v1_xboole_0(k4_card_3(B)))) # label(fc3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12163 (all A all B all C (v1_funcop_1(B) & m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k16_pralg_1(A,B,C),A))) # label(dt_k16_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12164 (all A all B all C (v1_funcop_1(B) & m1_pboole(B,A) & m1_pboole(C,A) -> k15_pralg_1(B,C) = k16_pralg_1(A,B,C))) # label(redefinition_k16_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12165 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(C,k4_card_3(B)) & m1_pboole(B,A) & v2_relat_1(B) -> m1_pboole(k17_pralg_1(A,B,C),k2_zfmisc_1(k4_finseq_1(C),A)))) # label(dt_k17_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12166 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) -> (all B (v6_unialg_1(B) & v7_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> (all C (m2_finseq_1(C,k4_partfun1(k13_finseq_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> (all E (-v1_xboole_0(E) & v1_funct_1(E) & v1_unialg_1(E,u1_struct_0(A)) & v2_unialg_1(E,u1_struct_0(A)) & m2_relset_1(E,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)) -> (all F (v1_funct_1(F) & v1_unialg_1(F,u1_struct_0(B)) & m2_relset_1(F,k3_finseq_2(u1_struct_0(B)),u1_struct_0(B)) & v2_unialg_1(F,u1_struct_0(B)) & -v1_xboole_0(F) -> (k1_funct_1(u1_unialg_1(A),D) = E & F = k1_funct_1(u1_unialg_1(B),D) -> k3_pralg_1(u1_struct_0(A),u1_struct_0(B),E,F) = k1_funct_1(C,D))))))))) & k3_finseq_1(u1_unialg_1(A)) = k3_finseq_1(C) <-> k4_pralg_1(A,B) = C)))))))) # label(d4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12167 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k16_pralg_1(A,B,C) = D <-> (all E (r2_hidden(E,A) -> (all F (v1_relat_1(F) & v1_funct_1(F) -> (k1_funct_1(B,E) = F -> k1_funct_1(D,E) = k1_funct_1(F,k1_funct_1(C,E)))))))))))))) # label(d18_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12168 (all A all B (-v1_xboole_0(A) & v1_pralg_1(B) & v3_pralg_1(B) & m1_pboole(B,A) -> m2_finseq_1(k24_pralg_1(A,B),k4_partfun1(k13_finseq_1(k4_card_3(k12_pralg_1(A,B))),k4_card_3(k12_pralg_1(A,B)))))) # label(dt_k24_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12169 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_pboole(B,A) & v1_pralg_1(B) -> v7_unialg_1(k11_pralg_1(A,B,C)) & l1_unialg_1(k11_pralg_1(A,B,C)) & v8_unialg_1(k11_pralg_1(A,B,C)) & v6_unialg_1(k11_pralg_1(A,B,C)) & -v3_struct_0(k11_pralg_1(A,B,C)))) # label(dt_k11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12170 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_pralg_1(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> l1_struct_0(k1_funct_1(A,B))))))) # label(d11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12171 (all A all B (m1_pboole(B,A) & v2_pralg_1(B) -> m1_pboole(k12_pralg_1(A,B),A))) # label(dt_k12_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12172 (all A all B (l1_unialg_1(A) & v7_unialg_1(B) & l1_unialg_1(B) & v8_unialg_1(B) & v6_unialg_1(B) & -v3_struct_0(B) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> -v3_struct_0(k5_pralg_1(A,B)) & v6_unialg_1(k5_pralg_1(A,B)) & v7_unialg_1(k5_pralg_1(A,B)) & l1_unialg_1(k5_pralg_1(A,B)) & v8_unialg_1(k5_pralg_1(A,B)) & v3_unialg_1(k5_pralg_1(A,B)))) # label(dt_k5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12173 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k4_finseq_2(C,A) = k4_finseq_2(D,B) -> C = D))))))))) # label(t1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12174 (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,B),k2_zfmisc_1(B,A)) & m2_relset_1(C,k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) -> ((all D (m1_subset_1(D,k2_zfmisc_1(A,B)) -> k8_funct_2(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A),C,D) = k1_domain_1(B,A,k3_domain_1(A,B,D),k2_domain_1(A,B,D)))) <-> C = k6_pralg_1(A,B)))))))) # label(d6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12175 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (C = k21_pralg_1(A,B) <-> (all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k1_subset_1(k1_funct_1(B,D))))))))) # label(d20_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12176 (all A all B (-v3_struct_0(A) & v6_unialg_1(A) & -v3_struct_0(B) & l1_unialg_1(B) & v8_unialg_1(B) & v7_unialg_1(B) & v6_unialg_1(B) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) -> m2_finseq_1(k4_pralg_1(A,B),k4_partfun1(k13_finseq_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))))) # label(dt_k4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12177 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v3_realset2(B) -> -v3_struct_0(B) & v2_tex_2(B,A)))))) # label(cc14_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12178 $T # label(t10_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12179 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_xboole_0(B) -> v1_tex_2(B,k1_zfmisc_1(A))))))) # label(cc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12180 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(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) & v4_tex_2(C,A)))) & v3_tex_2(B,A)))))) # label(t65_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12181 (all A (l1_pre_topc(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) & -v3_struct_0(B) -> v3_realset2(B) & -v3_struct_0(B)))))) # label(cc13_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12182 (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))) -> -(v3_tex_2(B,A) & (all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & v1_tdlat_3(C) -> u1_struct_0(C) != B))))))) # label(t34_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12183 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_tdlat_3(B) -> -v2_tdlat_3(B)))))) # label(cc23_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12184 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> -(u1_struct_0(A) = u1_struct_0(B) & v2_tex_2(B,A)))))) # label(t15_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12185 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_tex_2(B,A) & m1_pre_topc(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v3_borsuk_1(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (D = E -> k5_pre_topc(A,B,C,k1_struct_0(B,D)) = k6_pre_topc(A,k1_struct_0(A,E)))))))))))))) # label(t77_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12186 (all A (l1_struct_0(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(B) & v1_realset1(B)))))) # label(cc9_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12187 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v2_tex_2(B,A) & m1_pre_topc(B,A) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))))) # label(t16_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12188 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v4_tex_2(B,A))))) # label(t46_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12189 (all A all B all C (-v3_struct_0(B) & v3_tdlat_3(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v2_pre_topc(B) -> (r2_hidden(A,a_2_0_tex_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & r2_hidden(D,C) & A = k6_pre_topc(B,k1_struct_0(B,D))))))) # label(fraenkel_a_2_0_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12190 $T # label(t22_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12191 (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))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> v3_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A) & v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),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_tex_2(C,A) & v3_tex_2(B,A) & v3_pre_topc(C,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A))))))))) # label(t30_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12192 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_realset2(B) & v1_tdlat_3(B) & -v3_struct_0(B) -> -v2_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc26_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12193 (all A (l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (v4_tex_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(t66_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12194 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) -> v1_pre_topc(k1_tex_2(A,B)) & v4_tdlat_3(k1_tex_2(A,B)) & v5_tdlat_3(k1_tex_2(A,B)) & v3_realset2(k1_tex_2(A,B)) & v3_tdlat_3(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B)) & v1_tdlat_3(k1_tex_2(A,B)) & v2_pre_topc(k1_tex_2(A,B)) & -v3_struct_0(k1_tex_2(A,B)))) # label(fc4_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12195 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k3_tarski(a_2_0_tex_2(A,B)))))) # label(t54_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12196 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v5_tex_2(B,A) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_borsuk_1(C,A,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(A))) -> (D = E -> k6_pre_topc(A,E) = k5_pre_topc(A,B,C,D))))))))))))) # label(t76_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12197 (all A (-v1_xboole_0(A) & v1_realset1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_tex_2(B,k1_zfmisc_1(A)) -> v1_xboole_0(B) & v2_membered(B) & v1_tex_2(B,k1_zfmisc_1(A)) & v5_membered(B) & v4_membered(B) & v3_membered(B) & v1_membered(B)))))) # label(cc3_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12198 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) & -v3_struct_0(B) -> -v3_struct_0(B) & v1_borsuk_1(B,A) & v1_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc31_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12199 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_tex_2(B,k1_zfmisc_1(A)) & -v1_realset1(B) & -v1_xboole_0(B))))) # label(rc7_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12200 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_realset2(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & v3_realset2(B) & v2_tex_2(B,A) & m1_pre_topc(B,A))))) # label(rc13_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12201 (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))) -> (v3_tex_2(B,A) & v1_tops_3(B,A) -> v3_pre_topc(B,A)))))) # label(t40_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12202 (all A (m1_subset_1(A,k1_zfmisc_1(u1_struct_0(f1_s1_tex_2))) -> -(r2_hidden(A,f2_s1_tex_2) & (all B (m1_subset_1(B,u1_struct_0(f1_s1_tex_2)) -> -p1_s1_tex_2(A,B)))))) -> (exists A (v1_funct_2(A,f2_s1_tex_2,u1_struct_0(f1_s1_tex_2)) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_tex_2))) -> (r2_hidden(B,f2_s1_tex_2) -> p1_s1_tex_2(B,k1_funct_1(A,B))))) & m2_relset_1(A,f2_s1_tex_2,u1_struct_0(f1_s1_tex_2)) & v1_funct_1(A))) # label(s1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12203 (all 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))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v4_tex_2(C,A) & D = C -> v4_tex_2(D,B)))))))))) # label(t45_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12204 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A))))) # label(rc16_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12205 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (-v3_struct_0(B) & v1_tdlat_3(B) & m1_pre_topc(B,A) -> r1_borsuk_1(A,B))))) # label(t79_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12206 (all A (v2_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v3_realset2(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v2_tdlat_3(B) & v5_tdlat_3(B) & -v5_tex_2(B,A) & v4_tdlat_3(B) & v3_tdlat_3(B)))))) # label(cc44_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12207 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) <-> v3_tex_2(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(C,A) & r1_tarski(B,C) -> B = C)))))))) # label(d7_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12208 (all A (v3_tdlat_3(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))) -> (v4_tex_2(B,A) -> k3_tarski(a_2_0_tex_2(A,B)) = u1_struct_0(A)))))) # label(t63_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12209 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(C = k5_subset_1(u1_struct_0(A),B,D) & v4_pre_topc(D,A))))))) <-> v3_tex_2(B,A)))))) # label(d6_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12210 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v5_tex_2(B,A) -> v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tdlat_3(B) & v2_tex_2(B,A) & v3_tdlat_3(B) & v1_tsep_1(B,A)))))) # label(cc42_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12211 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_tdlat_3(B) -> -v1_tdlat_3(B)))))) # label(cc21_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12212 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_pre_topc(B) -> -v1_tdlat_3(B)))))) # label(cc18_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12213 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v2_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v3_realset2(B) & -v3_struct_0(B) -> v2_pre_topc(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v5_tex_2(B,A) & v3_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc50_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12214 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tex_2(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))))))) # label(t9_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.08 12215 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (v3_realset2(A) & u1_struct_0(A) = u1_struct_0(B) -> v3_realset2(B)))))) # label(t4_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12216 (all A (l1_pre_topc(A) & -v3_realset2(A) & v2_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_tex_2(B,A) -> v2_pre_topc(B) & -v1_tsep_1(B,A) & v2_tdlat_3(B) & v3_tdlat_3(B) & v2_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & -v1_borsuk_1(B,A) & -v3_struct_0(B)))))) # label(cc35_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12217 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v3_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v4_tdlat_3(B) & v2_tdlat_3(B) & v1_tdlat_3(B))))) # label(rc14_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12218 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) -> v2_pre_topc(B) & v1_tdlat_3(B) & v3_tdlat_3(B) & v5_tex_2(B,A) & v1_borsuk_1(B,A) & v1_tsep_1(B,A)))))) # label(cc41_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12219 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(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))) -> -(k5_subset_1(u1_struct_0(A),B,D) = k1_tarski(C) & v3_pre_topc(D,A)))) & r2_hidden(C,B))))))))) # label(t32_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12220 (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))) -> (v3_tex_2(B,A) & r1_tarski(C,B) -> v3_tex_2(C,A)))))))) # label(t28_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12221 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_realset1(B) & -v1_xboole_0(B)))))) # label(cc11_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12222 (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))) -> (v3_tex_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> C = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)))))))))) # label(t41_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12223 (all A (l1_pre_topc(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & -v2_tex_2(B,A)))))) # label(cc12_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12224 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_realset1(B) & -v1_xboole_0(B) -> -v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(cc10_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12225 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v3_tex_2(k1_struct_0(A,B),A))))) # label(t36_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12226 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C))))))) # label(t72_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12227 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_xboole_0(B) & v1_realset1(B) -> v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B)))))) # label(cc6_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12228 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & v2_tdlat_3(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) -> v5_pre_topc(C,A,B))))))) # label(t70_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12229 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> v1_tdlat_3(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B)) & v3_tdlat_3(k1_tex_2(A,B)) & v4_tdlat_3(k1_tex_2(A,B)) & v3_realset2(k1_tex_2(A,B)) & v5_tdlat_3(k1_tex_2(A,B)) & v2_pre_topc(k1_tex_2(A,B)) & v1_pre_topc(k1_tex_2(A,B)) & -v3_struct_0(k1_tex_2(A,B)))) # label(fc3_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12230 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) -> v1_borsuk_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & -v5_tex_2(B,A) & v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc40_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12231 (all A (-v3_struct_0(A) & v3_tdlat_3(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,u1_struct_0(A)) -> (r2_hidden(B,k6_pre_topc(A,k1_struct_0(A,C))) -> k6_pre_topc(A,k1_struct_0(A,B)) = k6_pre_topc(A,k1_struct_0(A,C))))))))) # label(t55_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12232 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v3_realset2(B) -> v2_pre_topc(B) & v1_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v5_tex_2(B,A) & v4_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc45_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12233 (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(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & k5_subset_1(u1_struct_0(A),B,D) = C))) & r1_tarski(C,B)))) <-> v3_tex_2(B,A)))))) # label(d5_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12234 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) & -v3_realset2(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & -v1_tsep_1(B,A) & -v1_borsuk_1(B,A) & v2_tex_2(B,A) & v3_tdlat_3(B) & v2_tdlat_3(B) & v2_pre_topc(B))))) # label(rc18_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12235 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,k6_pre_topc(A,B)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C))) = k1_struct_0(A,D) & r2_hidden(D,B)))))))))))) # label(t60_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12236 (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))) -> (v3_tex_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k1_struct_0(A,C) = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C))))))))))) # label(t42_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12237 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) & v4_pre_topc(k5_subset_1(u1_struct_0(A),B,C),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_tex_2(C,A) & v3_tex_2(B,A) & v4_pre_topc(C,A) & v4_pre_topc(B,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A))))))))) # label(t31_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12238 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & k5_subset_1(u1_struct_0(A),B,D) = k1_tarski(C)))))))))))) # label(t33_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12239 (all A (-v1_xboole_0(k1_tarski(A)) & v1_realset1(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12240 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) -> v2_pre_topc(B)))))) # label(cc17_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12241 (all A (v2_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tdlat_3(B) -> v2_pre_topc(B) & v2_tdlat_3(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v1_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc33_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12242 (all A exists B (-v1_tex_2(B,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12243 (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))) -> (v3_tex_2(C,A) & v3_tex_2(B,A) & v3_pre_topc(C,A) & v3_pre_topc(B,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t38_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12244 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v5_tdlat_3(B) & v3_realset2(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & v1_tdlat_3(B))))) # label(rc15_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12245 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v3_tex_2(C,A) <-> v1_tdlat_3(B))))))))) # label(t26_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12246 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_xboole_0(k6_pre_topc(A,k1_struct_0(A,B)),k6_pre_topc(A,k1_struct_0(A,C))) | k6_pre_topc(A,k1_struct_0(A,B)) = k6_pre_topc(A,k1_struct_0(A,C)))))))) # label(t56_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12247 (all A (v1_realset1(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(k3_xboole_0(A,B)) -> r1_tarski(A,B))))) # label(t2_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12248 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v5_tex_2(B,A) -> v2_pre_topc(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & v1_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc37_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12249 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tdlat_3(B) -> v3_tdlat_3(B)))))) # label(cc20_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12250 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_pre_topc(C) -> (k1_struct_0(A,B) = u1_struct_0(C) <-> k1_tex_2(A,B) = C))))))) # label(d4_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12251 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k1_struct_0(A,D) = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C))) & r2_hidden(D,B) & m1_subset_1(D,u1_struct_0(A)))))) <-> v4_tex_2(B,A)))))) # label(t64_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12252 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> v5_pre_topc(C,B,A))))) -> v2_tdlat_3(A)))) # label(t71_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12253 (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_tops_1(B,A) & v3_tex_2(B,A) -> v4_tex_2(B,A)))))) # label(t48_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12254 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> ((all C (v1_tdlat_3(C) & m1_pre_topc(C,A) & -v3_struct_0(C) -> (m1_pre_topc(B,C) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))) & v1_tdlat_3(B) <-> v5_tex_2(B,A)))))) # label(t52_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12255 (all A (-v3_realset2(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_tex_2(B,A) -> -v3_realset2(B) & -v3_struct_0(B)))))) # label(cc15_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12256 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_realset2(B) & v2_tdlat_3(B) & -v3_struct_0(B) -> -v3_struct_0(B) & -v1_tdlat_3(B)))))) # label(cc25_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12257 (all A all B (m1_subset_1(B,A) -> (v1_tex_2(B,A) <-> k3_tarski(A) != B))) # label(d2_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12258 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) <-> -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t49_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12259 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (A != B <-> v1_tex_2(B,k1_zfmisc_1(A))))) # label(t5_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12260 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> r1_borsuk_1(A,B))))) # label(t73_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12261 (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))) -> (v3_tex_2(B,A) | v3_tex_2(C,A) -> v3_tex_2(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t29_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12262 (all A (v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_realset2(B) & -v3_struct_0(B) -> v1_borsuk_1(B,A) & -v2_tdlat_3(B) & v4_tdlat_3(B) & -v3_realset2(B) & v5_tdlat_3(B) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_tsep_1(B,A) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc32_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12263 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (v2_pre_topc(A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v2_pre_topc(B)))))) # label(t12_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12264 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v3_tdlat_3(A) -> v3_tdlat_3(B)))))) # label(t19_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12265 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_tex_2(B,A))))) # label(t35_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12266 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> -(v1_tex_2(k6_domain_1(A,B),k1_zfmisc_1(A)) & v1_realset1(A)))))) # label(t6_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12267 (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))) & -v1_xboole_0(B) -> -(v4_tex_2(B,A) & (all C (m1_pre_topc(C,A) & v1_pre_topc(C) & -v3_struct_0(C) -> -(u1_struct_0(C) = B & v5_tex_2(C,A))))))))) # label(t53_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12268 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v3_realset2(B) & v2_pre_topc(B) -> v2_pre_topc(B) & v3_tdlat_3(B) & v3_realset2(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_tdlat_3(B) & v1_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc27_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12269 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) -> v3_tdlat_3(B)))))) # label(cc22_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12270 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) -> v1_tops_1(B,A)))))) # label(t62_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12271 (all A (-v1_realset1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> -v1_xboole_0(B) & -v1_realset1(B)))))) # label(cc7_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12272 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) -> v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A)))))) # label(cc28_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12273 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_tdlat_3(B) -> (exists C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))))))) # label(t78_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12274 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_tex_2(B,k1_zfmisc_1(A)) -> -v1_xboole_0(B)))))) # label(cc1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12275 (all A (-v1_xboole_0(A) -> (exists B (-v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc4_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12276 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v2_tex_2(k1_tex_2(A,B),A) & v3_realset2(A)))))) # label(t21_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12277 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v2_tex_2(B,A) -> v2_tex_2(C,A)))))))) # label(t14_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12278 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_tex_2(B,k1_zfmisc_1(A)))))) # label(rc3_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12279 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v2_tex_2(k1_tex_2(A,B),A) <-> v1_tex_2(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A)))))))) # label(t20_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12280 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v1_tex_2(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) & v3_realset2(A)))))) # label(t8_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12281 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v3_realset2(B) & -v3_struct_0(B))))) # label(rc12_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12282 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & -v2_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v5_tex_2(B,A) -> -v3_struct_0(B) & v3_tdlat_3(B) & v5_tdlat_3(B) & -v3_realset2(B) & v4_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc49_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12283 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> v5_pre_topc(C,A,B))))) -> v1_tdlat_3(A)))) # label(t69_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12284 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v2_tdlat_3(A) -> v2_tdlat_3(B)))))) # label(t18_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12285 (all A (v3_tdlat_3(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)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & k5_subset_1(u1_struct_0(A),B,D) = k1_struct_0(A,C)))) & r2_hidden(C,B)))) -> v3_tex_2(B,A)))))) # label(t57_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12286 (all A (-v1_xboole_0(A) & v1_realset1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> -v1_xboole_0(B) & v1_realset1(B) & -v1_tex_2(B,k1_zfmisc_1(A))))))) # label(cc5_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12287 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_tdlat_3(B) -> (exists C (v1_pre_topc(C) & m1_pre_topc(C,A) & m1_pre_topc(B,C) & v5_tex_2(C,A) & -v3_struct_0(C))))))) # label(t67_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12288 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v3_realset2(B) & -v3_struct_0(B) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & g1_pre_topc(u1_struct_0(k1_tex_2(A,C)),u1_pre_topc(k1_tex_2(A,C))) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))))))) # label(t23_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12289 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v5_tex_2(B,A) <-> v4_tex_2(C,A))))))))) # label(t51_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12290 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_pre_topc(B) -> -v2_tdlat_3(B)))))) # label(cc19_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12291 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = B -> (v3_tex_2(B,A) <-> v1_tdlat_3(A))))))) # label(t27_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12292 (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))) -> (C = u1_struct_0(B) -> (v1_tex_2(C,k1_zfmisc_1(u1_struct_0(A))) <-> v2_tex_2(B,A))))))))) # label(t13_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12293 (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))) -> (v3_pre_topc(B,A) & v4_tex_2(B,A) -> v1_tops_1(B,A)))))) # label(t47_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12294 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v5_tex_2(B,A) & m1_pre_topc(B,A) -> (exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B))))))) # label(t74_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12295 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_realset1(B) -> (r1_tarski(A,B) -> A = B))))) # label(t1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12296 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_pre_topc(k1_tex_2(A,B),A) & v1_pre_topc(k1_tex_2(A,B)) & -v3_struct_0(k1_tex_2(A,B)))) # label(dt_k1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12297 $T # label(t11_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12298 (all A (-v3_struct_0(A) & l1_struct_0(A) & -v3_realset2(A) -> (exists B (-v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & v1_realset1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc10_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12299 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & -v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v5_tex_2(B,A) -> -v3_struct_0(B) & v3_tdlat_3(B) & v5_tdlat_3(B) & v2_tex_2(B,A) & v4_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc47_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12300 (all A (v2_pre_topc(A) & v2_tdlat_3(A) & -v3_realset2(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tdlat_3(B) & -v3_struct_0(B) -> -v3_struct_0(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v2_tex_2(B,A) & v3_tdlat_3(B) & v2_tdlat_3(B) & v1_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc36_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.27/146.09 12301 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(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) -> k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C))) = k1_struct_0(A,C)))) -> v3_tex_2(B,A)))))) # label(t58_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12302 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v2_pre_topc(k1_tex_2(A,B)) -> v2_tdlat_3(k1_tex_2(A,B)) & v1_tdlat_3(k1_tex_2(A,B))))))) # label(t24_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12303 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_tex_2(B,A) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & (v3_pre_topc(B,A) | v4_pre_topc(B,A))))))) # label(t61_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12304 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) & -v3_struct_0(B) -> v2_pre_topc(B) & v1_tdlat_3(B) & v3_realset2(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc43_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12305 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tsep_1(B,A) -> v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc29_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12306 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v1_realset1(B) <-> v4_tex_2(B,A)))))) # label(t50_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12307 (all 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))) -> (C = D & v3_tex_2(C,A) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> v3_tex_2(D,B)))))))))) # label(t25_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12308 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tdlat_3(B) -> v2_pre_topc(B)))))) # label(cc16_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12309 (all A (-v1_xboole_0(A) -> (v1_realset1(A) <-> (exists B (m1_subset_1(B,A) & k6_domain_1(A,B) = A))))) # label(d1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12310 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tdlat_3(B) & v2_tdlat_3(B) -> -v3_struct_0(B) & v3_realset2(B)))))) # label(cc24_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12311 (all A (v2_pre_topc(A) & -v3_realset2(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tdlat_3(B) & v3_tdlat_3(B) & v2_tex_2(B,A) & v1_borsuk_1(B,A) & v1_tsep_1(B,A))))) # label(rc17_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12312 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v1_tdlat_3(A) -> v1_tdlat_3(B)))))) # label(t17_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12313 (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))) -> (v4_pre_topc(B,A) & v3_tex_2(B,A) & v3_tex_2(C,A) & v4_pre_topc(C,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t39_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12314 (all A (v1_realset1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_xboole_0(B) -> -v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B)))))) # label(cc4_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12315 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v1_borsuk_1(B,A) -> v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc30_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12316 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v1_tdlat_3(B) -> -v3_struct_0(B) & -v5_tex_2(B,A)))))) # label(cc38_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12317 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v5_tex_2(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> r1_borsuk_1(A,B))))) # label(t75_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12318 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_tex_2(B,A))))) # label(t43_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12319 (exists A (v1_realset1(A) & -v1_xboole_0(A))) # label(rc1_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12320 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v3_realset2(B) -> v2_pre_topc(B) & v4_tdlat_3(B) & -v3_realset2(B) & v5_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & -v1_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc34_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12321 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r1_xboole_0(k6_pre_topc(A,k1_struct_0(A,C)),k6_pre_topc(A,k1_struct_0(A,D))) | C = D)))))))))) # label(t59_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12322 (all A (-v1_realset1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> v1_tex_2(k6_domain_1(A,B),k1_zfmisc_1(A)))))) # label(t7_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12323 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & v5_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_pre_topc(B) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc20_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12324 (all A (-v3_struct_0(A) & -v1_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_tex_2(B,A) -> v2_pre_topc(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & -v5_tex_2(B,A) & v5_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc48_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12325 $T # label(t3_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12326 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (exists B (-v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(A)) & v1_realset1(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc6_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12327 (all A (-v3_struct_0(A) & v3_realset2(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_xboole_0(B) -> -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B)))))) # label(cc8_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12328 (all A (l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tdlat_3(B) & -v2_tex_2(B,A) & v3_tdlat_3(B) & v1_borsuk_1(B,A)))))) # label(cc39_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12329 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v1_tex_2(C,k1_zfmisc_1(u1_struct_0(A))))))))))) # label(d3_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12330 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & -v2_tex_2(B,A))))) # label(rc11_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12331 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & -v3_realset2(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v3_tdlat_3(B) & v5_tdlat_3(B) & v2_tex_2(B,A) & v4_tdlat_3(B) & v2_pre_topc(B) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc19_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12332 (all A (v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> v5_pre_topc(C,A,B))))))) # label(t68_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12333 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & v1_realset1(B))))) # label(rc5_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12334 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v4_tex_2(C,A))))))))) # label(d8_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12335 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_realset1(B))))) # label(rc9_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12336 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,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) = k1_struct_0(A,C))))))) -> v3_tex_2(B,A)))))) # label(t37_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12337 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_realset1(B) <-> v3_tex_2(B,A)))))) # label(t44_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12338 (all A (l1_pre_topc(A) & v2_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v5_tex_2(B,A) -> v2_pre_topc(B) & -v3_realset2(B) & -v5_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & -v1_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc46_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12339 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> -v3_struct_0(k1_tex_2(A,B)) & v1_pre_topc(k1_tex_2(A,B)) & v3_realset2(k1_tex_2(A,B)))) # label(fc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12340 (all A (-v3_realset2(A) & l1_struct_0(A) & -v3_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & v1_realset1(B))))) # label(rc8_tex_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12341 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> m1_pre_topc(B,C) & v2_tex_3(B,C)))))))) # label(t20_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12342 (all A (l1_pre_topc(A) & -v3_realset2(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v2_tex_2(B,A) & -v3_struct_0(B) -> (exists C (-v3_struct_0(C) & m1_pre_topc(C,A) & r4_tsep_2(A,B,C) & v2_tex_2(C,A) & v1_pre_topc(C))))))) # label(t8_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12343 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,u1_struct_0(B)) -> v2_tops_1(C,A))))))))) # label(t33_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12344 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v2_tex_3(B,A) <-> v1_tops_3(C,A))))))))) # label(t16_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.09 12345 (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))) -> -(v3_tops_1(B,A) & (all C (v1_pre_topc(C) & m1_pre_topc(C,A) -> -(u1_struct_0(C) = B & v4_tex_3(C,A))))))))) # label(t36_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12346 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tex_3(B,A) & v2_tex_3(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B))))) # label(rc3_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12347 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v2_tops_1(B,A) <-> v1_tops_1(C,A))))))))) # label(t3_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12348 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A) & -v2_tex_3(B,A)))))) # label(cc26_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12349 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) -> v2_pre_topc(B) & -v3_tex_3(B,A)))))) # label(cc13_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12350 (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) -> -(v1_tops_1(B,A) & (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v1_pre_topc(C) -> u1_struct_0(C) != B))))))) # label(t10_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12351 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) -> -(-(v1_tsep_1(B,A) & v1_tex_3(B,A)) & (all C (-v3_struct_0(C) & v2_tex_2(C,A) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v1_tsep_1(C,A) & v1_pre_topc(C) -> (all D (m1_pre_topc(D,A) & v4_tex_3(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> -(r1_tsep_1(A,C,D) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k1_tsep_1(A,C,D))))))))))) # label(t73_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12352 (all A (-v3_struct_0(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tex_3(B,A) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v2_tex_3(B,A) & v2_tex_2(B,A) & -v1_borsuk_1(B,A) & -v3_struct_0(B))))) # label(rc13_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12353 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (l1_pre_topc(C) & v2_pre_topc(C) & -v3_struct_0(C) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = C -> (m1_pre_topc(B,A) & v1_tex_3(B,A) <-> m1_pre_topc(C,A) & v1_tex_3(C,A))))))))) # label(t15_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12354 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tex_3(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> m1_pre_topc(B,C) & v1_tex_3(B,C)))))))) # label(t13_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12355 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_tex_3(B,A) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> v1_tex_3(C,A)))))))) # label(t12_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12356 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v4_tex_3(B,A) & v4_tex_3(C,A) -> v4_tex_3(k1_tsep_1(A,B,C),A)))))))) # label(t44_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12357 (all A (-v3_struct_0(A) & -v3_tdlat_3(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) -> -(v2_tops_1(B,A) & (all C (-v3_struct_0(C) & v1_pre_topc(C) & v1_borsuk_1(C,A) & m1_pre_topc(C,A) & v3_tex_3(C,A) -> u1_struct_0(C) != B)) & v4_pre_topc(B,A)))))) # label(t67_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12358 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tsep_1(B,A) -> -v3_struct_0(B) & v2_pre_topc(B) & -v3_tex_3(B,A)))))) # label(cc11_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12359 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(C,B) & v4_tex_3(B,A) -> v4_tex_3(C,A)))))))) # label(t40_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12360 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v5_tex_2(B,A) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v2_tex_3(B,A) & v1_tex_3(B,A) & -v2_tex_2(B,A) & v3_tdlat_3(B) & v1_borsuk_1(B,A)))))) # label(cc24_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12361 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & -v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & -v2_tex_3(B,A) & -v1_tex_3(B,A) & -v5_tex_2(B,A) & v2_tex_2(B,A) & v1_borsuk_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc5_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12362 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (v2_tex_2(B,A) & v2_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (v1_pre_topc(C) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & v4_tex_3(C,A) & -v3_struct_0(C))))))) # label(t65_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12363 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v1_tex_3(C,A) | v1_tex_3(B,A) -> v1_tex_3(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A)))))))) # label(t25_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12364 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v1_borsuk_1(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & -v2_tex_2(B,A) & v1_borsuk_1(B,A)))))) # label(cc1_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12365 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) -> v2_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc6_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12366 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v2_tex_3(C,A) | v2_tex_3(B,A) -> m1_pre_topc(k1_tsep_1(A,B,C),A) & v2_tex_3(k1_tsep_1(A,B,C),A)))))))) # label(t26_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12367 (all A (l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (v1_pre_topc(C) & m1_pre_topc(C,A) & v4_tex_3(C,A) & -v3_struct_0(C) -> B != u1_struct_0(C))) & v3_tops_1(B,A)))))) # label(t62_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12368 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_realset2(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> (exists B (v1_pre_topc(B) & -v2_tex_3(B,A) & v2_tex_2(B,A) & v2_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc9_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12369 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (v4_tex_3(B,A) <-> (exists C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & m1_pre_topc(B,C) & v3_tex_3(C,A) & v1_borsuk_1(C,A)))))))) # label(t71_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12370 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v1_tops_1(C,A) <-> v1_tex_3(B,A))))))))) # label(t9_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12371 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (exists B (v1_borsuk_1(B,A) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_tsep_1(B,A) & v2_pre_topc(B) & v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc4_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12372 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v2_pre_topc(B) & v2_tex_2(B,A) & v4_tex_3(B,A) & v3_tex_3(B,A) & -v2_tex_3(B,A) & -v1_tex_3(B,A) & -v1_tsep_1(B,A) & v1_pre_topc(B))))) # label(rc10_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12373 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v3_tops_1(C,A) <-> v4_tex_3(B,A))))))))) # label(t35_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12374 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -((exists B (-v3_struct_0(B) & v1_tex_3(B,A) & v2_tex_2(B,A) & v1_tsep_1(B,A) & m1_pre_topc(B,A))) & v3_tdlat_3(A)))) # label(t61_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12375 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v2_tex_3(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v1_tops_3(D,B) <-> v1_tops_3(C,A))))))))))) # label(t18_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12376 (all A (v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) -> v1_tsep_1(B,A) & v3_tdlat_3(B) & v2_tex_2(B,A) & -v5_tex_2(B,A) & -v1_tex_3(B,A) & -v2_tex_3(B,A) & v1_tdlat_3(B) & v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc23_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12377 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tex_3(B,A) -> -v2_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc5_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12378 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & -v4_tex_3(B,A) & v5_tdlat_3(B) & v2_pre_topc(B) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc8_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12379 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & v3_tex_3(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A) & -v2_tex_3(B,A) & v3_tex_3(B,A) & v4_tex_3(B,A) & -v1_tex_3(B,A)))))) # label(cc19_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12380 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & -v3_struct_0(A) -> (all B (v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -(v3_pre_topc(B,A) & (all C (v1_pre_topc(C) & v1_tsep_1(C,A) & v2_tex_2(C,A) & v1_tex_3(C,A) & m1_pre_topc(C,A) -> B != u1_struct_0(C))) & v1_tops_1(B,A)))))) # label(t68_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12381 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v3_tex_3(B,A) -> -v1_borsuk_1(B,A) & v3_tdlat_3(B) & v2_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc28_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12382 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) -> -v2_tex_3(B,A) & v3_tex_3(B,A) & v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc15_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12383 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v1_tops_3(C,A)))) <-> v2_tex_3(B,A)))))) # label(d2_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12384 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v2_tex_3(B,A) & v2_tex_3(C,A) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v2_tex_3(k2_tsep_1(A,B,C),A)))))))) # label(t27_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12385 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -(v3_tdlat_3(A) & (exists B (-v3_struct_0(B) & v2_tex_2(B,A) & v2_tex_3(B,A) & m1_pre_topc(B,A)))))) # label(t60_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12386 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v3_realset2(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (exists C (-v3_struct_0(C) & m1_pre_topc(C,A) & B = u1_struct_0(C) & v2_tex_2(C,A) & v1_pre_topc(C))))))) # label(t7_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12387 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (-v3_struct_0(B) & v2_pre_topc(B) & v1_tex_3(B,A) & v2_tex_3(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc2_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12388 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> ((exists C (v1_tex_3(C,A) & m1_pre_topc(C,A) & m1_pre_topc(C,B) & v1_tsep_1(C,A) & v1_pre_topc(C))) <-> v2_tex_3(B,A)))))) # label(t24_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12389 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) -> -v4_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc18_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12390 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -(v1_tops_3(B,A) & (all C (v1_pre_topc(C) & m1_pre_topc(C,A) & v2_tex_3(C,A) & -v3_struct_0(C) -> u1_struct_0(C) != B))))))) # label(t17_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12391 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v2_tex_2(B,A) -> v2_tex_2(B,A) & -v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc2_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12392 (all A (-v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (-v3_struct_0(C) & v2_pre_topc(C) & l1_pre_topc(C) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = C -> (v4_tex_3(B,A) & m1_pre_topc(B,A) <-> v4_tex_3(C,A) & m1_pre_topc(C,A))))))))) # label(t66_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12393 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> -(-v3_tex_3(k2_tsep_1(A,B,C),A) & -r1_tsep_1(A,B,C) & (v3_tex_3(B,A) | v3_tex_3(C,A))))))))) # label(t43_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12394 (all A (-v3_struct_0(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v1_pre_topc(B) & -v1_tsep_1(B,A) & -v1_tex_3(B,A) & v4_tex_3(B,A) & v3_tex_3(B,A) & -v2_tex_3(B,A) & v2_tex_2(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc12_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12395 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v2_tex_3(B,A) -> (all C (v2_tex_3(C,B) & m1_pre_topc(C,B) & -v3_struct_0(C) -> m1_pre_topc(C,A) & v2_tex_3(C,A))))))) # label(t21_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12396 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) & -v3_struct_0(C) -> (C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> (v2_tex_3(B,A) & m1_pre_topc(B,A) <-> v2_tex_3(C,A) & m1_pre_topc(C,A))))))))) # label(t22_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12397 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v1_tdlat_3(A) & v2_pre_topc(A) -> (exists B (v1_pre_topc(B) & v1_tex_3(B,A) & -v4_tex_3(B,A) & v2_tex_2(B,A) & -v1_borsuk_1(B,A) & v2_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc7_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12398 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & -v2_tex_3(B,A) -> v2_tex_2(B,A) & -v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc9_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12399 (all A (-v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v4_tex_3(B,A) & -v3_struct_0(B) -> -((all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v2_tex_3(C,A) & v2_tex_2(C,A) & v1_pre_topc(C) -> (all D (v3_tex_3(D,A) & m1_pre_topc(D,A) & v1_borsuk_1(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> -(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k2_tsep_1(A,C,D) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,C,D)))))) & -(v1_borsuk_1(B,A) & v3_tex_3(B,A))))))) # label(t72_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12400 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tex_3(B,A) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> v2_tex_3(C,A)))))))) # label(t19_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12401 (all A (-v3_struct_0(A) & -v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) & v2_pre_topc(C) -> (C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> (v3_tex_3(C,A) & m1_pre_topc(C,A) <-> v3_tex_3(B,A) & m1_pre_topc(B,A))))))))) # label(t55_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12402 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r4_tsep_2(A,B,C) -> v2_tex_2(C,A) & v2_tex_2(B,A)))))))) # label(t6_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12403 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tex_3(B,A) & m1_pre_topc(B,A))))) # label(rc1_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12404 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v1_tex_3(C,A) & v2_tex_3(B,A) | v2_tex_3(C,A) & v1_tex_3(B,A) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v1_tex_3(k2_tsep_1(A,B,C),A)))))))) # label(t28_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12405 (all A (-v3_struct_0(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_tex_3(B,A) & m1_pre_topc(B,A) & v2_tex_2(B,A) -> (exists C ((exists D (v3_tex_3(D,A) & m1_pre_topc(D,A) & m1_pre_topc(C,B) & r3_tsep_2(A,C,D) & v1_borsuk_1(D,A) & v1_pre_topc(D))) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v2_tex_2(C,A) & v1_tsep_1(C,A) & v1_pre_topc(C))))))) # label(t75_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12406 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v2_tops_1(C,A) <-> v1_tops_1(B,A))))))))) # label(t2_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12407 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_3(B,A) & v1_tsep_1(B,A) -> v2_tex_2(B,A) & -v2_tex_3(B,A) & -v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc10_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12408 (all A (l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v3_tex_3(B,A) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (exists C (v2_tex_2(C,A) & v1_tex_3(C,A) & m1_pre_topc(C,A) & r4_tsep_2(A,B,C) & v1_tsep_1(C,A) & v1_pre_topc(C) & -v3_struct_0(C))))))) # label(t69_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12409 (all A (-v3_struct_0(A) & -v1_tdlat_3(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_tops_1(B,A) & (all C (v1_pre_topc(C) & v3_tex_3(C,A) & m1_pre_topc(C,A) -> u1_struct_0(C) != B))))))) # label(t51_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12410 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> -(v3_tdlat_3(A) & (exists B (-v3_struct_0(B) & v4_tex_3(B,A) & m1_pre_topc(B,A)))))) # label(t58_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12411 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & -v3_struct_0(A) -> (all B (v4_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (-v3_struct_0(C) & v1_pre_topc(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) & (exists D (-v3_struct_0(D) & m1_pre_topc(D,A) & r4_tsep_2(A,C,D) & m1_pre_topc(B,D) & v3_tex_3(D,A) & v1_borsuk_1(D,A) & v1_pre_topc(D))) & v2_tex_2(C,A) & v1_tsep_1(C,A))))))) # label(t74_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12412 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> -((v4_tex_3(B,A) | v4_tex_3(C,A)) & -r1_tsep_1(A,B,C) & -v4_tex_3(k2_tsep_1(A,B,C),A)))))))) # label(t46_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12413 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & -v3_struct_0(B) -> v2_pre_topc(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & -v3_struct_0(B)))))) # label(cc29_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12414 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v2_tops_1(C,A) <-> v3_tex_3(B,A))))))))) # label(t29_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12415 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v2_tops_1(C,A))))))))) # label(d3_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12416 (all A (-v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v4_tex_3(B,A) & -v3_struct_0(B) -> (exists C (v1_pre_topc(C) & v2_tex_2(C,A) & m1_pre_topc(C,A) & r4_tsep_2(A,B,C) & v2_tex_3(C,A) & -v3_struct_0(C))))))) # label(t64_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12417 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,u1_struct_0(B)) -> v3_tops_1(C,A))))))))) # label(t39_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12418 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & v1_tex_3(B,A) -> v1_tex_3(B,A) & v2_tex_3(B,A) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & -v2_tex_2(B,A) & v1_tsep_1(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc31_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12419 (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_tops_1(B,A) & (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> -(v3_tex_3(C,A) & u1_struct_0(C) = B)))))))) # label(t30_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12420 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -((exists B (-v3_struct_0(B) & m1_pre_topc(B,A) & v3_tex_3(B,A))) & v1_tdlat_3(A)))) # label(t49_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12421 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(C,B) & v3_tex_3(B,A) -> v3_tex_3(C,A)))))))) # label(t34_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12422 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v3_tops_1(B,A) <-> v1_tops_3(C,A))))))))) # label(t5_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12423 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_3(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A)))))) # label(cc7_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12424 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) -> v2_pre_topc(B) & v1_tex_3(B,A)))))) # label(cc4_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12425 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & -v2_tex_2(B,A) & v1_tex_3(B,A) & v2_tex_3(B,A) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & v1_borsuk_1(B,A)))))) # label(cc27_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12426 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & -v4_tex_3(B,A) -> -v4_tex_3(B,A) & -v3_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc21_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12427 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_3(B,A) & (all C (v2_tex_2(C,A) & v2_tex_3(C,A) & m1_pre_topc(C,A) & v1_pre_topc(C) -> u1_struct_0(C) != B))))))) # label(t63_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12428 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (v2_tex_2(B,A) & v1_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (m1_pre_topc(C,A) & r4_tsep_2(A,B,C) & v3_tex_3(C,A) & v1_pre_topc(C) & -v3_struct_0(C))))))) # label(t54_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12429 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_tex_3(B,A) -> -v4_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc16_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12430 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> v4_tdlat_3(B) & -v4_tex_3(B,A) & v5_tdlat_3(B) & v3_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc25_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12431 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_tex_3(B,A) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v1_tops_1(D,B) <-> v1_tops_1(C,A))))))))))) # label(t11_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12432 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_pre_topc(B,A) & v2_tex_2(B,A) -> -v2_tex_3(B,A))) -> v3_tdlat_3(A)))) # label(t57_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12433 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_tex_2(B,A) & -v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc12_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12434 (all A (l1_pre_topc(A) & -v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v3_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (v1_pre_topc(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) & r4_tsep_2(A,B,C) & v2_tex_2(C,A) & -v3_struct_0(C))))))) # label(t53_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12435 (all A (v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> v2_pre_topc(B) & v1_tdlat_3(B) & v5_tdlat_3(B) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & v4_tdlat_3(B) & v3_tdlat_3(B) & v1_tsep_1(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B)))))) # label(cc22_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12436 (all A (-v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (v2_tex_2(B,A) & m1_pre_topc(B,A) -> -v1_tex_3(B,A))) -> v1_tdlat_3(A)))) # label(t48_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12437 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tex_3(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v1_tex_3(C,B) & m1_pre_topc(C,B) -> v1_tex_3(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C))))))) # label(t14_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12438 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & -v1_tdlat_3(A) -> (all B (v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -((all C (v1_pre_topc(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) & v2_tex_2(C,A) -> B != u1_struct_0(C))) & v1_tops_1(B,A)))))) # label(t52_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12439 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v3_tops_1(C,A) <-> v1_tops_3(B,A))))))))) # label(t4_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12440 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A) & -v2_tex_3(B,A)))))) # label(cc14_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12441 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v3_tex_3(B,A) & v4_tex_3(C,A) | v3_tex_3(C,A) & v4_tex_3(B,A) -> v3_tex_3(k1_tsep_1(A,B,C),A)))))))) # label(t45_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12442 (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))) -> -(v1_tops_1(B,A) & v3_pre_topc(B,A) & (all C (-v3_struct_0(C) & v1_pre_topc(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) & v1_tex_3(C,A) -> u1_struct_0(C) != B))))))) # label(t23_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12443 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v3_tops_1(C,A))))))))) # label(d4_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12444 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -(v1_tdlat_3(A) & (exists B (-v3_struct_0(B) & v1_tex_3(B,A) & v2_tex_2(B,A) & m1_pre_topc(B,A)))))) # label(t50_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12445 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v1_tops_1(C,A))))))))) # label(d1_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12446 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & v2_tex_2(B,A) -> -v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc3_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12447 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) -> v2_tex_2(B,A) & -v1_tex_3(B,A) & -v2_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc17_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12448 (all A (l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_tex_3(B,A) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v1_tex_3(B,A) & v2_tex_2(B,A) & -v1_borsuk_1(B,A) & v2_pre_topc(B) & -v3_struct_0(B))))) # label(rc11_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12449 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> ((exists C (m1_pre_topc(C,A) & m1_pre_topc(B,C) & v3_tex_3(C,A) & v1_borsuk_1(C,A) & v1_pre_topc(C) & -v3_struct_0(C))) <-> v4_tex_3(B,A)))))) # label(t42_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12450 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r4_tsep_2(A,B,C) -> (v1_tex_3(C,A) <-> v3_tex_3(B,A))))))))) # label(t32_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12451 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & v2_tex_2(B,A) -> v2_tex_2(B,A) & -v2_tex_3(B,A) & -v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc32_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12452 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -((exists B (-v3_struct_0(B) & v3_tex_3(B,A) & v1_borsuk_1(B,A) & m1_pre_topc(B,A))) & v3_tdlat_3(A)))) # label(t59_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12453 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r3_tsep_2(A,B,C) -> (v3_tex_3(C,A) <-> v1_tex_3(B,A))))))))) # label(t31_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12454 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v2_tex_2(B,A) -> v2_tex_2(B,A) & -v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc30_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12455 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_pre_topc(B,A) -> -v4_tex_3(B,A))) -> v3_tdlat_3(A)))) # label(t56_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12456 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (-v1_xboole_0(B) <-> v1_tex_2(C,k1_zfmisc_1(u1_struct_0(A))))))))))) # label(t1_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12457 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v1_tdlat_3(A) & v2_pre_topc(A) -> (exists B (v2_pre_topc(B) & -v1_tsep_1(B,A) & -v2_tex_3(B,A) & v3_tex_3(B,A) & v2_tex_2(B,A) & v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc6_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12458 (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) -> -(v2_tops_1(B,A) & (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) & v1_pre_topc(C) -> -(v3_tex_3(C,A) & u1_struct_0(C) = B))) & v4_pre_topc(B,A)))))) # label(t41_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12459 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r3_tsep_2(A,B,C) -> (v4_tex_3(C,A) <-> v2_tex_3(B,A))))))))) # label(t37_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12460 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) & -v4_tex_3(B,A) -> v2_pre_topc(B) & -v1_borsuk_1(B,A) & v2_tex_2(B,A)))))) # label(cc20_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12461 (all A (l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) & v1_tex_3(B,A) & v2_tex_2(B,A) & -v3_struct_0(B) -> (exists C (v1_pre_topc(C) & v1_borsuk_1(C,A) & v3_tex_3(C,A) & m1_pre_topc(C,A) & r4_tsep_2(A,B,C) & -v3_struct_0(C))))))) # label(t70_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12462 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_pre_topc(B,A) -> -v3_tex_3(B,A))) -> v1_tdlat_3(A)))) # label(t47_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12463 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r4_tsep_2(A,B,C) -> (v2_tex_3(C,A) <-> v4_tex_3(B,A))))))))) # label(t38_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12464 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v1_tsep_1(B,A) -> v1_tex_3(B,A) & v2_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc8_tex_3) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12465 $T # label(t5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12466 (all A (-v3_struct_0(A) & v3_unialg_1(A) & v6_unialg_1(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) -> A = k13_msualg_1(k7_msualg_1(A),k10_msualg_1(A)))) # label(t15_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12467 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (exists B l3_msualg_1(B,A)))) # label(existence_l3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12468 (all A all B (v6_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> v3_unialg_1(k13_msualg_1(A,B)) & v6_unialg_1(k13_msualg_1(A,B)) & v7_unialg_1(k13_msualg_1(A,B)) & l1_unialg_1(k13_msualg_1(A,B)) & v8_unialg_1(k13_msualg_1(A,B)) & -v3_struct_0(k13_msualg_1(A,B)))) # label(dt_k13_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12469 (all A (v3_realset2(A) & l1_msualg_1(A) & v6_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> m2_finseq_1(u5_msualg_1(A,B),k4_partfun1(k3_finseq_2(k11_msualg_1(A,B)),k11_msualg_1(A,B))))))) # label(t14_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12470 (all A all B (l1_struct_0(A) & m1_pboole(B,u1_struct_0(A)) -> l2_msualg_1(g2_msualg_1(A,B),A) & v3_msualg_1(g2_msualg_1(A,B),A))) # label(dt_g2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12471 (exists A (l1_msualg_1(A) & v1_msualg_1(A))) # label(rc1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12472 (all A (l1_msualg_1(A) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k2_finseq_1(B) = u1_msualg_1(A))) <-> v6_msualg_1(A)))) # label(d12_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12473 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> k5_msualg_1(A,B,C) = k1_funct_1(u5_msualg_1(A,C),B))))))) # label(d11_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12474 (all A all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all C (m1_subset_1(C,k2_relat_1(k6_pboole(u1_struct_0(A),u4_msualg_1(A,B)))) -> -v1_xboole_0(C))))) # label(cc2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12475 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> k2_msualg_1(A,B) = k1_funct_1(u3_msualg_1(A),B))))) # label(d7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12476 (all A all B all C (m3_pboole(C,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),B)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),B)) & m1_pboole(B,u1_struct_0(A)) & l1_msualg_1(A) & -v3_struct_0(A) -> (all D all E all F (g3_msualg_1(D,E,F) = g3_msualg_1(A,B,C) -> A = D & F = C & B = E)))) # label(free_g3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12477 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (v5_msualg_1(C,A) & l3_msualg_1(C,A) -> -v1_xboole_0(k5_msualg_1(A,B,C)))))))) # label(t6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12478 (exists A (l1_msualg_1(A) & v2_msualg_1(A) & v1_msualg_1(A) & -v3_struct_0(A))) # label(rc2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12479 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (v3_realset2(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B))) -> (all D (m1_subset_1(D,k2_relat_1(u4_msualg_1(A,B))) -> C = D))))))))) # label(t10_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12480 (all A (-v2_msualg_1(A) & v6_msualg_1(A) & l1_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> k13_msualg_1(A,B) = g1_unialg_1(k11_msualg_1(A,B),k12_msualg_1(A,B)))))) # label(d19_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12481 $T # label(d3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.10 12482 (all A (l1_msualg_1(A) -> l1_struct_0(A))) # label(dt_l1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12483 (exists A (l1_msualg_1(A) & -v3_struct_0(A) & -v2_msualg_1(A) & v1_msualg_1(A))) # label(rc3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12484 $T # label(t1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12485 (all A (l1_msualg_1(A) & v6_msualg_1(A) & -v2_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (v5_msualg_1(C,A) & l3_msualg_1(C,A) -> r1_tarski(k3_msualg_1(A,B,C),k3_finseq_2(k11_msualg_1(A,C))))))))) # label(t13_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12486 (all A (l1_struct_0(A) -> (exists B (l2_msualg_1(B,A) & v3_msualg_1(B,A))))) # label(rc4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12487 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & v3_realset2(A) & -v3_struct_0(A) -> -v1_xboole_0(k11_msualg_1(A,B)))) # label(fc4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12488 (all A all B (m1_pboole(B,u1_struct_0(A)) & l1_struct_0(A) -> (all C all D (g2_msualg_1(C,D) = g2_msualg_1(A,B) -> D = B & C = A)))) # label(free_g2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12489 (all A (v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> u1_unialg_1(A) = k9_msualg_1(A))) # label(d15_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12490 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & l3_msualg_1(C,A) & m1_subset_1(B,u1_msualg_1(A)) & l1_msualg_1(A) -> m1_subset_1(k4_msualg_1(A,B,C),k2_relat_1(u4_msualg_1(A,C))))) # label(dt_k4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12491 (all A (v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & -v3_struct_0(A) -> v5_msualg_1(k10_msualg_1(A),k7_msualg_1(A)) & v4_msualg_1(k10_msualg_1(A),k7_msualg_1(A)))) # label(fc3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12492 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> k4_msualg_1(A,B,C) = k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),u4_msualg_1(A,C)),B))))))) # label(d10_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12493 (all A (l1_msualg_1(A) -> (u1_msualg_1(A) = k1_xboole_0 <-> v2_msualg_1(A)))) # label(d5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12494 (all A (-v3_struct_0(A) & v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v6_unialg_1(A) -> (all B (v3_realset2(B) & v1_msualg_1(B) & -v2_msualg_1(B) & l1_msualg_1(B) & v6_msualg_1(B) -> (k1_tarski(np__0) = u1_struct_0(B) & u2_msualg_1(B) = k1_partfun1(k5_numbers,k5_numbers,k5_numbers,k3_finseq_2(k1_tarski(np__0)),k6_msualg_1(A),k9_pboole(np__0)) & u3_msualg_1(B) = k10_pboole(k4_finseq_1(k6_msualg_1(A)),np__0) & u1_msualg_1(B) = k4_finseq_1(k6_msualg_1(A)) <-> k7_msualg_1(A) = B))))) # label(d13_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12495 (all A (v6_unialg_1(A) & v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & -v3_struct_0(A) -> v4_msualg_1(k10_msualg_1(A),k7_msualg_1(A)) & l3_msualg_1(k10_msualg_1(A),k7_msualg_1(A)))) # label(dt_k10_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12496 (all A all B all C all D (m1_relset_1(C,B,k3_finseq_2(A)) & v1_funct_1(D) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_2(C,B,k3_finseq_2(A)) & v1_funct_1(C) -> (all E all F all G all H (g1_msualg_1(A,B,C,D) = g1_msualg_1(E,F,G,H) -> B = F & D = H & C = G & A = E)))) # label(free_g1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12497 (all A all B (-v3_struct_0(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & l1_msualg_1(A) -> (all C (m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B))) -> -v1_xboole_0(C))))) # label(cc1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12498 (all A all B all C (-v2_msualg_1(A) & l3_msualg_1(C,A) & m1_subset_1(B,u1_msualg_1(A)) & l1_msualg_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_msualg_1(A,B,C),k2_relat_1(k6_pboole(u1_struct_0(A),u4_msualg_1(A,C)))))) # label(dt_k3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12499 (all A all B (l2_msualg_1(B,A) & l1_struct_0(A) -> (v3_msualg_1(B,A) -> g2_msualg_1(A,u4_msualg_1(A,B)) = B))) # label(abstractness_v3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12500 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) -> v3_realset2(k7_msualg_1(A)) & -v2_msualg_1(k7_msualg_1(A)) & v6_msualg_1(k7_msualg_1(A)) & v1_msualg_1(k7_msualg_1(A)) & -v3_struct_0(k7_msualg_1(A)))) # label(fc2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12501 (exists A l1_msualg_1(A)) # label(existence_l1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12502 (all A (l1_struct_0(A) -> (all B (l2_msualg_1(B,A) -> (v5_msualg_1(B,A) <-> v2_relat_1(u4_msualg_1(A,B))))))) # label(d8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12503 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_tarski(k4_finseq_2(B,A),k3_finseq_2(A)))))) # label(t12_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12504 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) -> m2_finseq_1(k6_msualg_1(A),k5_numbers))) # label(dt_k6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12505 $T # label(d2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12506 (all A all B all C (-v2_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) & l3_msualg_1(C,A) & l1_msualg_1(A) & -v3_struct_0(A) -> v1_funct_1(k5_msualg_1(A,B,C)) & v1_funct_2(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)) & m2_relset_1(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)))) # label(dt_k5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12507 (all A all B (l1_struct_0(A) & l2_msualg_1(B,A) -> m1_pboole(u4_msualg_1(A,B),u1_struct_0(A)))) # label(dt_u4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12508 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) -> m2_finseq_2(k1_msualg_1(A,B),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))))) # label(dt_k1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12509 (all A (l1_struct_0(A) -> (exists B (l2_msualg_1(B,A) & v5_msualg_1(B,A) & v3_msualg_1(B,A))))) # label(rc7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12510 (all A (l1_msualg_1(A) -> v1_funct_1(u2_msualg_1(A)) & m2_relset_1(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A))) & v1_funct_2(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A))))) # label(dt_u2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12511 $T # label(t4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12512 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> l2_msualg_1(B,A))))) # label(dt_l3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12513 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) -> k8_msualg_1(A) = k10_pboole(k1_tarski(np__0),u1_struct_0(A)))) # label(d14_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12514 $T # label(dt_l2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12515 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> m2_relset_1(k1_partfun1(A,B,B,C,D,E),k1_relat_1(D),C) & v1_funct_2(k1_partfun1(A,B,B,C,D,E),k1_relat_1(D),C) & v1_funct_1(k1_partfun1(A,B,B,C,D,E)))))))))) # label(t7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12516 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> k1_funct_1(u2_msualg_1(A),B) = k1_msualg_1(A,B))))) # label(d6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12517 (all A (l1_msualg_1(A) -> v1_funct_2(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A)) & m2_relset_1(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A)))) # label(dt_u3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12518 $T # label(t3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12519 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (exists B (l3_msualg_1(B,A) & v4_msualg_1(B,A))))) # label(rc5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12520 (all A (v3_realset2(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (k11_msualg_1(A,B) = C <-> m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B))))))))) # label(d17_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12521 (all A all B all C all D (v1_funct_1(C) & v1_funct_1(D) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & m1_relset_1(C,B,k3_finseq_2(A)) & v1_funct_2(C,B,k3_finseq_2(A)) -> v1_msualg_1(g1_msualg_1(A,B,C,D)) & l1_msualg_1(g1_msualg_1(A,B,C,D)))) # label(dt_g1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12522 (all A all B (-v3_struct_0(A) & l3_msualg_1(B,A) & l1_msualg_1(A) -> m3_pboole(u5_msualg_1(A,B),u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),u4_msualg_1(A,B))),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),u4_msualg_1(A,B))))) # label(dt_u5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12523 (all A (v6_msualg_1(A) & l1_msualg_1(A) & -v2_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) & v5_msualg_1(C,A) -> k4_finseq_2(k3_finseq_1(k1_msualg_1(A,B)),k11_msualg_1(A,C)) = k3_msualg_1(A,B,C))))))) # label(t11_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12524 (all A all B (-v3_struct_0(A) & v3_realset2(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & v6_msualg_1(A) & -v2_msualg_1(A) -> m2_finseq_1(k12_msualg_1(A,B),k4_partfun1(k13_finseq_1(k11_msualg_1(A,B)),k11_msualg_1(A,B))))) # label(dt_k12_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12525 $T # label(d1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12526 (all A (v6_unialg_1(A) & v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & -v3_struct_0(A) -> g3_msualg_1(k7_msualg_1(A),k8_msualg_1(A),k9_msualg_1(A)) = k10_msualg_1(A))) # label(d16_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12527 $T # label(t2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12528 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) & l1_msualg_1(A) -> m1_subset_1(k2_msualg_1(A,B),u1_struct_0(A)))) # label(dt_k2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12529 (all A (l1_struct_0(A) -> (exists B l2_msualg_1(B,A)))) # label(existence_l2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12530 $T # label(dt_k11_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12531 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & v6_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> k12_msualg_1(A,B) = u5_msualg_1(A,B))))) # label(d18_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12532 (all A all B (l1_struct_0(A) & l2_msualg_1(B,A) & v5_msualg_1(B,A) -> v1_relat_1(u4_msualg_1(A,B)) & v1_funct_1(u4_msualg_1(A,B)) & v2_relat_1(u4_msualg_1(A,B)))) # label(fc1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12533 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> k3_msualg_1(A,B,C) = k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),u4_msualg_1(A,C))),B))))))) # label(d9_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12534 (all A (-v3_struct_0(A) & v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) -> -v1_xboole_0(k3_unialg_1(A)))) # label(t9_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12535 (all A (-v3_struct_0(A) & v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) -> v2_relat_1(k8_msualg_1(A)) & m1_pboole(k8_msualg_1(A),u1_struct_0(k7_msualg_1(A))))) # label(dt_k8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12536 (all A (-v3_struct_0(A) & v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) -> k3_unialg_1(A) = k6_msualg_1(A))) # label(redefinition_k6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12537 (all A (v6_unialg_1(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & -v3_struct_0(A) -> (all B (v1_funct_2(B,k4_finseq_1(k6_msualg_1(A)),k3_finseq_2(k1_tarski(np__0))) & m2_relset_1(B,k4_finseq_1(k6_msualg_1(A)),k3_finseq_2(k1_tarski(np__0))) & v1_funct_1(B) -> (k1_partfun1(k5_numbers,k5_numbers,k5_numbers,k3_finseq_2(k1_tarski(np__0)),k6_msualg_1(A),k9_pboole(np__0)) = B -> g1_msualg_1(k1_tarski(np__0),k4_finseq_1(k6_msualg_1(A)),B,k10_pboole(k4_finseq_1(k6_msualg_1(A)),np__0)) = k7_msualg_1(A)))))) # label(t16_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12538 (all A (l1_msualg_1(A) -> (v1_msualg_1(A) -> g1_msualg_1(u1_struct_0(A),u1_msualg_1(A),u2_msualg_1(A),u3_msualg_1(A)) = A))) # label(abstractness_v1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12539 $T # label(d4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12540 (exists A (-v3_struct_0(A) & v3_realset2(A) & -v2_msualg_1(A) & v6_msualg_1(A) & v1_msualg_1(A) & l1_msualg_1(A))) # label(rc8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12541 (all A (-v1_xboole_0(A) -> (all B (v1_unialg_1(B,A) & m2_relset_1(B,k3_finseq_2(A),A) & v2_unialg_1(B,A) & -v1_xboole_0(B) & v1_funct_1(B) -> k1_relat_1(B) = k1_funct_2(k2_finseq_1(k2_unialg_1(A,B)),A))))) # label(t8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12542 (all A (l1_msualg_1(A) & -v3_struct_0(A) -> (exists B (l3_msualg_1(B,A) & v5_msualg_1(B,A) & v4_msualg_1(B,A))))) # label(rc6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12543 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) -> m3_pboole(k9_msualg_1(A),u1_msualg_1(k7_msualg_1(A)),k8_pboole(u1_msualg_1(k7_msualg_1(A)),k3_finseq_2(u1_struct_0(k7_msualg_1(A))),u2_msualg_1(k7_msualg_1(A)),k6_pboole(u1_struct_0(k7_msualg_1(A)),k8_msualg_1(A))),k8_pboole(u1_msualg_1(k7_msualg_1(A)),u1_struct_0(k7_msualg_1(A)),u3_msualg_1(k7_msualg_1(A)),k8_msualg_1(A))))) # label(dt_k9_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12544 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> v3_realset2(k7_msualg_1(A)) & l1_msualg_1(k7_msualg_1(A)) & v6_msualg_1(k7_msualg_1(A)) & -v2_msualg_1(k7_msualg_1(A)) & v1_msualg_1(k7_msualg_1(A)))) # label(dt_k7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12545 $T # label(dt_u1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12546 (all A all B (-v3_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) -> (v4_msualg_1(B,A) -> B = g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B))))) # label(abstractness_v4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12547 (all A all B all C (l1_msualg_1(A) & m1_pboole(B,u1_struct_0(A)) & m3_pboole(C,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),B)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),B)) & -v3_struct_0(A) -> l3_msualg_1(g3_msualg_1(A,B,C),A) & v4_msualg_1(g3_msualg_1(A,B,C),A))) # label(dt_g3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12548 (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_subset_1(B,u1_struct_0(A)) -> B = k8_funct_2(u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),B))))) # label(t25_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12549 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12550 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) -> v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & v1_funct_1(C))) & (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(C) -> (v3_group_6(C,A,A) & v2_funct_1(C) <-> r2_hidden(C,B)))) <-> k1_autgroup(A) = B))))) # label(d1_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12551 (all A (v1_group_1(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(k3_autgroup(A))) -> (all C (m1_subset_1(C,u1_struct_0(k3_autgroup(A))) -> (all D (m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all E (m2_fraenkel(E,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (C = E & B = D -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E,D) = k1_group_1(k3_autgroup(A),B,C)))))))))))) # label(t9_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12552 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) -> ((exists D (m1_subset_1(D,u1_struct_0(A)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,E) = k2_group_3(A,E,D))))) <-> r2_hidden(C,B)))) <-> B = k4_autgroup(A)))))) # label(d4_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12553 (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,k3_autgroup(A)) & v1_group_3(B,k3_autgroup(A)) -> (k5_autgroup(A) = B <-> u1_struct_0(B) = k4_autgroup(A)))))) # label(d5_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12554 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k1_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12555 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))))))) # label(t18_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12556 $T # label(t19_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12557 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))))) # label(t17_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12558 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> r1_tarski(k4_autgroup(A),k1_autgroup(A)))) # label(t14_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12559 $T # label(t2_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12560 (all A (v1_group_1(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_autgroup(A,k3_group_1(A,B)) = k2_funct_1(k6_autgroup(A,B)))))) # label(t28_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12561 (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_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)) & v1_group_6(B,A,A) -> (v4_group_6(B,A,A) <-> r2_hidden(B,k1_autgroup(A))))))) # label(t5_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12562 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v1_group_3(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(B,k2_group_3(A,D,C)))))))))))) # label(t1_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12563 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (v7_group_1(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(k5_autgroup(A))) -> k2_group_1(k5_autgroup(A)) = B))))) # label(t32_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12564 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> r1_tarski(k4_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))) # label(t12_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12565 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> m2_fraenkel(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t7_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12566 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m2_fraenkel(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))) # label(t16_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12567 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A))) = k6_autgroup(A,B) & k6_autgroup(A,B) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),k6_autgroup(A,B)))))) # label(t29_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12568 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> m2_fraenkel(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))) # label(t4_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12569 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> k1_binop_1(k2_autgroup(A),B,C) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B))))))) # label(t15_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12570 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k5_autgroup(A))) -> (B = C -> k2_funct_1(B) = k3_group_1(k5_autgroup(A),C)))))))) # label(t22_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12571 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> v1_group_1(k5_autgroup(A)) & v1_group_3(k5_autgroup(A),k3_autgroup(A)) & m1_group_2(k5_autgroup(A),k3_autgroup(A)))) # label(dt_k5_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12572 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> k2_group_1(k3_autgroup(A)) = k6_partfun1(u1_struct_0(A)))) # label(t10_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12573 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> r2_group_6(k5_autgroup(A),k6_group_6(A,k10_group_5(A))))) # label(t31_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12574 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k2_autgroup(A)) & v1_funct_2(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & m2_relset_1(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)))) # label(dt_k2_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12575 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t13_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12576 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> v1_funct_1(k2_funct_1(B)) & v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) & v1_group_6(k2_funct_1(B),A,A))))) # label(t6_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12577 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> r1_tarski(k1_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))) # label(t3_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12578 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> m2_fraenkel(k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))))) # label(t8_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12579 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_group_1(k3_autgroup(A)) & v3_group_1(k3_autgroup(A)) & v4_group_1(k3_autgroup(A)) & l1_group_1(k3_autgroup(A)) & -v3_struct_0(k3_autgroup(A)))) # label(dt_k3_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12580 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_autgroup(A,k1_group_1(A,B,C)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C)))))))) # label(t23_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12581 (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_subset_1(B,u1_struct_0(k5_autgroup(A))) -> (all C (m1_subset_1(C,u1_struct_0(k5_autgroup(A))) -> (all D (m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all E (m2_fraenkel(E,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (C = E & B = D -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E,D) = k1_group_1(k5_autgroup(A),B,C)))))))))))) # label(t20_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12582 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & v1_group_1(A) -> m2_fraenkel(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))) # label(dt_k6_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12583 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k3_autgroup(A))) -> (C = B -> k2_funct_1(B) = k3_group_1(k3_autgroup(A),C)))))))) # label(t11_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12584 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),B) = B & k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,k6_autgroup(A,k2_group_1(A))) = B)))) # label(t30_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12585 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> k2_group_1(k5_autgroup(A)) = k6_partfun1(u1_struct_0(A)))) # label(t21_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12586 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> k6_autgroup(A,k2_group_1(A)) = k6_partfun1(u1_struct_0(A)))) # label(t24_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12587 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (k6_autgroup(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_3(A,D,B) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,D)))))))))) # label(d6_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12588 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & m2_relset_1(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & v1_funct_1(B) -> (B = k2_autgroup(A) <-> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all D (m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,C) = k2_binop_1(k1_autgroup(A),k1_autgroup(A),k1_autgroup(A),B,C,D)))))))))) # label(d2_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12589 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k3_group_1(A,B)),k6_autgroup(A,B)) = k6_autgroup(A,k2_group_1(A)))))) # label(t26_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12590 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> k3_autgroup(A) = g1_group_1(k1_autgroup(A),k2_autgroup(A)))) # label(d3_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12591 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k3_group_1(A,B))) = k6_autgroup(A,k2_group_1(A)))))) # label(t27_autgroup) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12592 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & m1_relset_1(C,B,k3_finseq_2(A)) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & v1_funct_1(D) & v1_funct_2(C,B,k3_finseq_2(A)) -> -v3_struct_0(g1_msualg_1(A,B,C,D)) & v1_msualg_1(g1_msualg_1(A,B,C,D)))) # label(fc3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12593 (all A all B (-v3_struct_0(A) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all C (m1_msualg_2(C,A,B) -> l3_msualg_1(C,A))))) # label(dt_m1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12594 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v2_relat_1(k2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C)) -> v2_relat_1(k9_msualg_2(A,B,C))))))))) # label(t17_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12595 (all A all B (l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k14_msualg_2(A,B)))) # label(fc11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12596 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> m1_msualg_2(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A,B))))) # label(t38_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12597 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> v2_binop_1(k16_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t33_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12598 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v4_msualg_1(C,A) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> C = k11_msualg_2(A,B,C,k13_msualg_2(A,B,C,D)))))))))) # label(t28_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12599 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C)) -> (r2_hidden(E,k5_msualg_2(A,C,D)) -> r1_tarski(k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k9_msualg_2(A,C,D))),B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),E)),B))))))))))))) # label(t18_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12600 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> k12_msualg_2(A,B,k2_msualg_2(A,B)) = k11_msualg_2(A,B,k12_msualg_2(A,B,k2_msualg_2(A,B)),C))))))) # label(t24_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12601 (all A all B all C (v2_msualg_2(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_msualg_2(A,B,C)))) # label(fc4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12602 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> m1_msualg_2(B,A,B))))) # label(t6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12603 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v4_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> B = k12_msualg_2(A,B,C)))))))) # label(t22_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12604 (all A all B all C all D (-v2_msualg_1(A) & l1_msualg_1(A) & v5_msualg_1(B,A) & m1_msualg_2(C,A,B) & m1_msualg_2(D,A,B) & l3_msualg_1(B,A) & -v3_struct_0(A) -> m1_msualg_2(k13_msualg_2(A,B,C,D),A,B) & v4_msualg_1(k13_msualg_2(A,B,C,D),A))) # label(dt_k13_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12605 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> r6_pboole(u1_msualg_1(A),k4_msualg_2(A,B,C),u5_msualg_1(A,B))))))))) # label(t5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12606 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m3_pboole(D,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),C)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),C)) -> (D = k4_msualg_2(A,B,C) <-> (all E (m1_subset_1(E,u1_msualg_1(A)) -> k3_msualg_2(A,B,E,C) = k1_funct_1(D,E)))))))))))) # label(d9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12607 (all A all B (v2_msualg_2(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> v2_relat_1(k2_msualg_2(A,B)) & v1_funct_1(k2_msualg_2(A,B)) & -v3_relat_1(k2_msualg_2(A,B)) & v1_relat_1(k2_msualg_2(A,B)))) # label(fc5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12608 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C ((all D (r2_hidden(D,C) <-> v4_msualg_1(D,A) & m1_msualg_2(D,A,B))) <-> C = k14_msualg_2(A,B))))))) # label(d20_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12609 (all A (v2_msualg_2(A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v5_msualg_1(C,A) -> m4_pboole(k2_msualg_2(A,B),u1_struct_0(A),u4_msualg_1(A,C)) & v2_relat_1(k2_msualg_2(A,B)))))))) # label(t12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12610 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> r1_tarski(k5_msualg_2(A,B,C),k6_msualg_2(A,B)))))))) # label(t41_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12611 (all A all B (-v3_struct_0(A) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (exists C (v4_msualg_1(C,A) & m1_msualg_2(C,A,B))))) # label(rc2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12612 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> (all D (m1_subset_1(D,u1_msualg_1(A)) -> k5_msualg_1(A,D,B) = k3_msualg_2(A,B,D,C))) & v3_msualg_2(C,A,B)))))))) # label(t4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12613 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) & v4_msualg_1(B,A) -> B = k6_lattices(k17_msualg_2(A,B)))))) # label(t37_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12614 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E ((all F ((exists G (F = k1_funct_1(G,D) & r2_hidden(G,k5_msualg_2(A,B,C)) & m4_pboole(G,u1_struct_0(A),u4_msualg_1(A,B)))) <-> r2_hidden(F,E))) <-> k8_msualg_2(A,B,C,D) = E)))))))))) # label(d14_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12615 (all A all B all C all D (l3_msualg_1(B,A) & m1_msualg_2(D,A,B) & m1_msualg_2(C,A,B) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> v4_msualg_1(k11_msualg_2(A,B,C,D),A) & m1_msualg_2(k11_msualg_2(A,B,C,D),A,B))) # label(dt_k11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12616 $T # label(dt_k8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12617 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> v15_lattices(k17_msualg_2(A,B)))))) # label(t34_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12618 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,k6_msualg_2(A,B)) -> C = k7_msualg_2(A,B,C))))))) # label(d13_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12619 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) -> -v3_struct_0(k17_msualg_2(A,B)) & v3_lattices(k17_msualg_2(A,B)) & v5_lattices(k17_msualg_2(A,B)) & v6_lattices(k17_msualg_2(A,B)) & v7_lattices(k17_msualg_2(A,B)) & v15_lattices(k17_msualg_2(A,B)) & v14_lattices(k17_msualg_2(A,B)) & v13_lattices(k17_msualg_2(A,B)) & v10_lattices(k17_msualg_2(A,B)) & v9_lattices(k17_msualg_2(A,B)) & v8_lattices(k17_msualg_2(A,B)) & v4_lattices(k17_msualg_2(A,B)))) # label(fc12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12620 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> v3_msualg_2(k9_msualg_2(A,B,C),A,B) & r2_pboole(u1_struct_0(A),C,k9_msualg_2(A,B,C)))))))) # label(t21_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12621 $T # label(d1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12622 (all A all B (-v3_struct_0(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> v5_msualg_1(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A) & v4_msualg_1(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A))) # label(fc6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12623 (all A all B all C (-v3_struct_0(A) & l1_msualg_1(A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) & -v2_msualg_1(A) -> m3_pboole(k4_msualg_2(A,B,C),u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),C)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),C)))) # label(dt_k4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12624 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> r1_tarski(k2_relat_1(k7_relat_1(k5_msualg_1(A,B,C),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k9_msualg_2(A,C,D))),B))),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),k9_msualg_2(A,C,D)),B)))))))))) # label(t20_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12625 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m2_relset_1(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) -> ((all D (m1_subset_1(D,k14_msualg_2(A,B)) -> (all E (m1_subset_1(E,k14_msualg_2(A,B)) -> (all F (v4_msualg_1(F,A) & m1_msualg_2(F,A,B) -> (all G (v4_msualg_1(G,A) & m1_msualg_2(G,A,B) -> (F = D & G = E -> k11_msualg_2(A,B,F,G) = k2_binop_1(k14_msualg_2(A,B),k14_msualg_2(A,B),k14_msualg_2(A,B),C,D,E)))))))))) <-> C = k16_msualg_2(A,B)))))))) # label(d22_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12626 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> v1_binop_1(k15_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t30_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12627 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> (r2_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D)) -> m1_msualg_2(C,A,D)))))))))) # label(t9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12628 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) -> (all D (l3_msualg_1(D,A) -> (m1_msualg_2(C,A,D) & m1_msualg_2(B,A,C) -> m1_msualg_2(B,A,D)))))))))) # label(t7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12629 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v4_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,C)) -> k12_msualg_2(A,B,D) = C))))))))) # label(t23_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12630 (all A all B all C (-v2_msualg_1(A) & l3_msualg_1(B,A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l1_msualg_1(A) & -v3_struct_0(A) -> v4_msualg_1(k10_msualg_2(A,B,C),A) & m1_msualg_2(k10_msualg_2(A,B,C),A,B))) # label(dt_k10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12631 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> g3_lattices(k14_msualg_2(A,B),k15_msualg_2(A,B),k16_msualg_2(A,B)) = k17_msualg_2(A,B))))) # label(d23_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12632 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v3_msualg_2(C,A,B) <-> (all D (m1_subset_1(D,u1_msualg_1(A)) -> r1_msualg_2(A,B,D,C)))))))))) # label(d7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12633 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_funct_1(u4_msualg_1(A,B),C))) -> (k1_funct_1(u4_msualg_1(A,B),C) != k1_xboole_0 -> (k1_msualg_2(A,B,C) = D <-> (exists E (-v1_xboole_0(E) & a_4_0_msualg_2(A,B,C,E) = D & k1_funct_1(u4_msualg_1(A,B),C) = E)))) & (k1_xboole_0 = k1_funct_1(u4_msualg_1(A,B),C) -> (k1_xboole_0 = D <-> k1_msualg_2(A,B,C) = D)))))))))) # label(d4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12634 (all A all B (l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> m2_relset_1(k16_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_2(k16_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_1(k16_msualg_2(A,B)))) # label(dt_k16_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.11 12635 (all A all B (-v3_struct_0(A) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (exists C m1_msualg_2(C,A,B)))) # label(existence_m1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12636 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> (all E (v4_msualg_1(E,A) & m1_msualg_2(E,A,B) -> (E = k13_msualg_2(A,B,C,D) <-> (all F (m4_pboole(F,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),F,k2_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D))) -> k12_msualg_2(A,B,F) = E)))))))))))))) # label(d19_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12637 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v1_msualg_2(B,A) <-> (exists C (m1_subset_1(C,u1_msualg_1(A)) & k1_funct_1(u2_msualg_1(A),C) = k1_xboole_0 & k1_funct_1(u3_msualg_1(A),C) = B))))))) # label(d2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12638 (all A all B (l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> m4_pboole(k2_msualg_2(A,B),u1_struct_0(A),u4_msualg_1(A,B)))) # label(dt_k2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12639 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> (all E (v4_msualg_1(E,A) & m1_msualg_2(E,A,B) -> (E = k11_msualg_2(A,B,C,D) <-> r6_pboole(u1_struct_0(A),u4_msualg_1(A,E),k3_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D))) & (all F (m4_pboole(F,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),F,u4_msualg_1(A,E)) -> v3_msualg_2(F,A,B) & r6_pboole(u1_msualg_1(A),u5_msualg_1(A,E),k4_msualg_2(A,B,F)))))))))))))))) # label(d17_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12640 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> v1_msualg_2(B,A))) <-> v2_msualg_2(A)))) # label(d3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12641 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_2(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_1(C) -> (C = k15_msualg_2(A,B) <-> (all D (m1_subset_1(D,k14_msualg_2(A,B)) -> (all E (m1_subset_1(E,k14_msualg_2(A,B)) -> (all F (v4_msualg_1(F,A) & m1_msualg_2(F,A,B) -> (all G (m1_msualg_2(G,A,B) & v4_msualg_1(G,A) -> (F = D & G = E -> k2_binop_1(k14_msualg_2(A,B),k14_msualg_2(A,B),k14_msualg_2(A,B),C,D,E) = k13_msualg_2(A,B,F,G))))))))))))))))) # label(d21_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12642 (exists A (l1_msualg_1(A) & -v3_struct_0(A) & v1_msualg_1(A) & -v2_msualg_1(A) & v2_msualg_2(A))) # label(rc1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12643 $T # label(dt_k5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12644 (all A all B all C (-v3_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & -v2_msualg_1(A) -> m1_subset_1(k1_msualg_2(A,B,C),k1_zfmisc_1(k1_funct_1(u4_msualg_1(A,B),C))))) # label(dt_k1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12645 (all A all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (exists C (m1_msualg_2(C,A,B) & v4_msualg_1(C,A) & v5_msualg_1(C,A))))) # label(rc3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12646 (all A all B all C all D (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m1_subset_1(C,u1_msualg_1(A)) & m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> v1_funct_1(k3_msualg_2(A,B,C,D)) & m2_relset_1(k3_msualg_2(A,B,C,D),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),D),C)) & v1_funct_2(k3_msualg_2(A,B,C,D),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),D),C)))) # label(dt_k3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12647 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> (D = k12_msualg_2(A,B,C) <-> (all E (m1_msualg_2(E,A,B) -> (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,E)) -> m1_msualg_2(D,A,E)))) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,D))))))))))) # label(d18_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12648 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r1_msualg_2(A,B,C,D) -> k3_msualg_2(A,B,C,D) = k7_relat_1(k5_msualg_1(A,C,B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C))))))))))) # label(d8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12649 $T # label(t39_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12650 (all A (v2_msualg_2(A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v5_msualg_1(C,A) -> (all D (v5_msualg_1(D,A) & m1_msualg_2(D,A,B) -> v2_relat_1(k3_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D))))))))))) # label(t13_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12651 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C)) -> (r2_pboole(u1_struct_0(A),D,E) -> r1_tarski(k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),E)),B))))))))))))) # label(t3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12652 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,B)) -> k13_msualg_2(A,B,k12_msualg_2(A,B,D),C) = k12_msualg_2(A,B,D)))))))))) # label(t26_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12653 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l3_msualg_1(B,A) & l1_msualg_1(A) -> -v1_xboole_0(k6_msualg_2(A,B)))) # label(fc8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12654 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> k5_lattices(k17_msualg_2(A,B)) = k12_msualg_2(A,B,k2_msualg_2(A,B)))))) # label(t35_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12655 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (v4_msualg_1(C,A) & m1_msualg_2(C,A,B) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> D = k13_msualg_2(A,B,k11_msualg_2(A,B,C,D),D))))))))) # label(t29_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12656 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (D = k9_msualg_2(A,B,C) <-> (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_setfam_1(k8_msualg_2(A,B,C,E)) = k1_funct_1(D,E)))))))))))) # label(d15_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12657 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v3_msualg_2(C,A,B) -> k10_msualg_2(A,B,C) = g3_msualg_1(A,C,k4_msualg_2(A,B,C))))))))) # label(d16_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12658 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C)) -> (r2_hidden(E,k5_msualg_2(A,C,D)) -> r1_tarski(k2_relat_1(k7_relat_1(k5_msualg_1(A,B,C),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k9_msualg_2(A,C,D))),B))),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),E),B))))))))))))) # label(t19_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12659 (all A all B all C (-v2_msualg_1(A) & l3_msualg_1(B,A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l1_msualg_1(A) & -v3_struct_0(A) -> m4_pboole(k9_msualg_2(A,B,C),u1_struct_0(A),u4_msualg_1(A,B)))) # label(dt_k9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12660 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> v2_binop_1(k15_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t31_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12661 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) -> v1_funct_1(k15_msualg_2(A,B)) & m2_relset_1(k15_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_2(k15_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)))) # label(dt_k15_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12662 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> v4_msualg_1(k12_msualg_2(A,B,C),A) & m1_msualg_2(k12_msualg_2(A,B,C),A,B))) # label(dt_k12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12663 (all A all B all C (m1_pboole(B,A) & v2_relat_1(C) & m1_pboole(C,A) -> v1_funct_1(k2_pboole(A,B,C)) & v2_relat_1(k2_pboole(A,B,C)) & v1_relat_1(k2_pboole(A,B,C)))) # label(fc1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12664 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> r2_pboole(u1_struct_0(A),k2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C),k9_msualg_2(A,B,C)))))))) # label(t16_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12665 $T # label(dt_k6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12666 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & m1_subset_1(C,k6_msualg_2(A,B)) & l3_msualg_1(B,A) & l1_msualg_1(A) -> m4_pboole(k7_msualg_2(A,B,C),u1_struct_0(A),u4_msualg_1(A,B)))) # label(dt_k7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12667 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) -> ((all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,C)) -> r6_pboole(u1_msualg_1(A),u5_msualg_1(A,C),k4_msualg_2(A,B,D)) & v3_msualg_2(D,A,B)))) & m4_pboole(u4_msualg_1(A,C),u1_struct_0(A),u4_msualg_1(A,B)) <-> m1_msualg_2(C,A,B)))))))) # label(d10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12668 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> k12_msualg_2(A,B,C) = k6_lattices(k17_msualg_2(A,B))))))))) # label(t36_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12669 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D ((all E (r2_hidden(E,k1_funct_2(u1_struct_0(A),k1_zfmisc_1(k3_card_3(u4_msualg_1(A,B))))) & m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,B)) & (all F (m4_pboole(F,u1_struct_0(A),u4_msualg_1(A,B)) -> (F = E -> r2_pboole(u1_struct_0(A),C,F) & r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),F) & v3_msualg_2(F,A,B)))) <-> r2_hidden(E,D))) <-> k5_msualg_2(A,B,C) = D)))))))) # label(d11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12670 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (k2_msualg_2(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_funct_1(C,D) = k1_msualg_2(A,B,D)))))))))) # label(d5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12671 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> r2_hidden(u4_msualg_1(A,B),k5_msualg_2(A,B,C)))))))) # label(t40_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12672 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> k13_msualg_2(A,B,D,C) = k13_msualg_2(A,B,C,D))))))))) # label(t27_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12673 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> v1_binop_1(k16_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t32_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12674 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r2_hidden(D,k5_msualg_2(A,B,C)) <-> r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),D) & r2_pboole(u1_struct_0(A),C,D) & v3_msualg_2(D,A,B)))))))))) # label(t14_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12675 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) -> (v4_msualg_1(C,A) & m1_msualg_2(C,A,B) & m1_msualg_2(B,A,C) & v4_msualg_1(B,A) -> B = C))))))) # label(t8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12676 (all A all B all C all D all E (-v2_msualg_1(B) & -v1_xboole_0(E) & m1_subset_1(D,u1_struct_0(B)) & l3_msualg_1(C,B) & l1_msualg_1(B) & -v3_struct_0(B) -> ((exists F (m1_subset_1(F,E) & (exists G (m1_subset_1(G,u1_msualg_1(B)) & r2_hidden(F,k2_relat_1(k5_msualg_1(B,G,C))) & D = k1_funct_1(u3_msualg_1(B),G) & k1_xboole_0 = k1_funct_1(u2_msualg_1(B),G))) & F = A)) <-> r2_hidden(A,a_4_0_msualg_2(B,C,D,E))))) # label(fraenkel_a_4_0_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12677 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),E,k2_pboole(u1_struct_0(A),D,u4_msualg_1(A,C))) -> k13_msualg_2(A,B,k12_msualg_2(A,B,D),C) = k12_msualg_2(A,B,E)))))))))))) # label(t25_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12678 (all A all B all C (v2_relat_1(C) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_relat_1(k2_pboole(A,C,B)) & v1_funct_1(k2_pboole(A,C,B)) & v2_relat_1(k2_pboole(A,C,B)))) # label(fc2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12679 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m2_finseq_2(D,A,k3_finseq_2(A)) -> k3_xboole_0(k4_card_3(k5_relat_1(D,B)),k4_card_3(k5_relat_1(D,C))) = k4_card_3(k5_relat_1(D,k3_pboole(A,B,C))))))))))) # label(t2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12680 (all A all B all C all D (-v3_struct_0(A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & m1_subset_1(D,u1_struct_0(A)) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> -v1_xboole_0(k8_msualg_2(A,B,C,D)))) # label(fc9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12681 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v4_msualg_1(C,A) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> (r6_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D)) -> D = C))))))))) # label(t10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12682 $T # label(t1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12683 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> m4_pboole(k2_msualg_2(A,B),u1_struct_0(A),u4_msualg_1(A,C)))))))) # label(t11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12684 (all A all B (-v3_struct_0(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> -v3_struct_0(k17_msualg_2(A,B)) & v3_lattices(k17_msualg_2(A,B)) & l3_lattices(k17_msualg_2(A,B)) & v10_lattices(k17_msualg_2(A,B)))) # label(dt_k17_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12685 (all A all B all C (-v3_struct_0(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & v2_relat_1(C) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l1_msualg_1(A) & -v2_msualg_1(A) -> v4_msualg_1(k12_msualg_2(A,B,C),A) & v5_msualg_1(k12_msualg_2(A,B,C),A))) # label(fc10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12686 $T # label(dt_k14_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12687 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) -> -v1_xboole_0(k5_msualg_2(A,B,C)))) # label(fc7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12688 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r1_tarski(k2_relat_1(k7_relat_1(k5_msualg_1(A,C,B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C))),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),D),C)) <-> r1_msualg_2(A,B,C,D)))))))))) # label(d6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12689 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v3_msualg_2(C,A,B) <-> r2_hidden(C,k6_msualg_2(A,B))))))))) # label(t15_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12690 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C ((all D (r2_hidden(D,k1_funct_2(u1_struct_0(A),k1_zfmisc_1(k3_card_3(u4_msualg_1(A,B))))) & (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,B)) -> (D = E -> v3_msualg_2(E,A,B)))) & m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) <-> r2_hidden(D,C))) <-> C = k6_msualg_2(A,B))))))) # label(d12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12691 (all A (-v1_xboole_0(A) -> (all B (l1_msualg_1(B) & -v2_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (m1_subset_1(E,A) -> k1_funct_1(k2_funct_6(k13_pralg_2(A,B,C,D)),E) = k3_msualg_1(B,D,k6_pralg_2(A,B,C,E)))) & k1_relat_1(k2_funct_6(k13_pralg_2(A,B,C,D))) = A)))))))) # label(t18_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12692 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> v1_fraenkel(k4_card_3(B)) & v1_pralg_2(k4_card_3(B)) & -v1_xboole_0(k4_card_3(B)))) # label(fc1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12693 $T # label(t19_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12694 (all A all B all C (-v3_struct_0(B) & l1_msualg_1(B) & m2_pralg_2(C,A,B) & -v2_msualg_1(B) -> v4_msualg_1(k15_pralg_2(A,B,C),B))) # label(fc8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12695 $T # label(dt_k8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12696 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (B = k2_pralg_2(A) <-> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k1_relat_1(B)) -> k1_funct_1(B,C) = k1_funct_1(A,k10_funct_6(C))))) & (all C ((exists D (v1_funct_1(D) & r2_hidden(D,k1_relat_1(A)) & k10_funct_6(D) = C & v1_relat_1(D))) <-> r2_hidden(C,k1_relat_1(B))))))))) # label(d6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12697 (all A all B (-v3_struct_0(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> k1_relat_1(k4_funct_5(k12_pralg_2(A,B,C))) = k2_zfmisc_1(A,u1_msualg_1(B)))))) # label(t12_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12698 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k2_pralg_2(A)) & v1_relat_1(k2_pralg_2(A)))) # label(dt_k2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12699 $T # label(dt_k1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12700 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> m1_pboole(C,A))))) # label(dt_m2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12701 $T # label(t7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12702 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) & v2_relat_1(C) -> (all D (m1_pboole(D,A) & v2_relat_1(D) -> (all E (m2_relset_1(E,B,k3_finseq_2(A)) & v1_funct_2(E,B,k3_finseq_2(A)) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,B,A) & v1_funct_2(F,B,A) -> (all G (m3_pboole(G,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),k8_pboole(B,A,F,C)) -> (all H (m3_pboole(H,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),k8_pboole(B,A,F,D)) -> (all I (m3_pboole(I,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),k8_pboole(B,A,F,k11_pboole(A,C,D))) -> (I = k5_pralg_2(A,B,C,D,E,F,G,H) <-> (all J (r2_hidden(J,B) -> (all K (m2_relset_1(K,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),J),k1_funct_1(k8_pboole(B,A,F,C),J)) & v1_funct_2(K,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),J),k1_funct_1(k8_pboole(B,A,F,C),J)) & v1_funct_1(K) -> (all L (v1_funct_1(L) & m2_relset_1(L,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),J),k1_funct_1(k8_pboole(B,A,F,D),J)) & v1_funct_2(L,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),J),k1_funct_1(k8_pboole(B,A,F,D),J)) -> (k1_funct_1(G,J) = K & L = k1_funct_1(H,J) -> k4_pralg_2(A,B,C,D,E,F,J,K,L) = k1_funct_1(I,J))))))))))))))))))))))))) # label(d11_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12703 $T # label(t6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12704 (all A (v1_pralg_2(A) & v1_fraenkel(A) -> (all B ((A = k1_xboole_0 -> (B = k1_xboole_0 <-> k1_pralg_2(A) = B)) & (k1_xboole_0 != A -> (k1_pralg_2(A) = B <-> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,A) -> B = k1_relat_1(C)))))))))) # label(d2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12705 (all A all B (-v3_struct_0(B) & l1_msualg_1(B) & -v2_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> k15_pralg_2(A,B,C) = g3_msualg_1(B,k11_pralg_2(A,B,C),k14_pralg_2(A,B,C)))))) # label(d21_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12706 (all A all B all C all D (l1_msualg_1(B) & m1_subset_1(C,u1_struct_0(B)) & m2_pralg_2(D,A,B) & -v3_struct_0(B) -> m1_pboole(k10_pralg_2(A,B,C,D),A))) # label(dt_k10_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12707 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> r6_pboole(B,k7_pboole(B,A,E,k11_pboole(A,C,D)),k11_pboole(B,k7_pboole(B,A,E,C),k7_pboole(B,A,E,D))))))))))) # label(t9_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12708 $T # label(t4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12709 (all A all B all C all D (-v3_struct_0(C) & m2_pralg_2(D,B,C) & l1_msualg_1(C) & -v1_xboole_0(B) -> ((exists E (m1_subset_1(E,B) & A = k7_pralg_2(C,k6_pralg_2(B,C,D,E)))) <-> r2_hidden(A,a_3_0_pralg_2(B,C,D))))) # label(fraenkel_a_3_0_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12710 (all A all B all C (-v3_struct_0(B) & l1_msualg_1(B) & m2_pralg_2(C,A,B) -> v1_funcop_1(k12_pralg_2(A,B,C)) & m1_pboole(k12_pralg_2(A,B,C),A))) # label(dt_k12_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12711 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(A) & v2_relat_1(D) & v1_funct_1(E) & v1_funct_1(I) & v1_funct_2(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) & m1_relset_1(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) & m1_relset_1(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & v1_funct_2(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & v1_funct_1(H) & m1_relset_1(F,B,A) & v1_funct_2(F,B,A) & v1_funct_1(F) & m1_relset_1(E,B,k3_finseq_2(A)) & v1_funct_2(E,B,k3_finseq_2(A)) & m1_pboole(D,A) & m1_pboole(C,A) & v2_relat_1(C) -> v1_funct_2(k4_pralg_2(A,B,C,D,E,F,G,H,I),k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) & m2_relset_1(k4_pralg_2(A,B,C,D,E,F,G,H,I),k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) & v1_funct_1(k4_pralg_2(A,B,C,D,E,F,G,H,I)))) # label(dt_k4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12712 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) -> (all B (m1_pboole(B,k4_card_3(k2_funct_6(A))) & v1_funcop_1(B) -> (k3_pralg_2(A) = B <-> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k4_card_3(k2_funct_6(A))) -> k15_pralg_1(A,C) = k1_funct_1(B,C))))))))) # label(d8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12713 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & -v2_msualg_1(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(E,k2_relat_1(k3_pralg_2(k13_pralg_2(A,B,C,D)))) -> A = k1_relat_1(E) & (all F (m1_subset_1(F,A) -> r2_hidden(k1_funct_1(E,F),k4_msualg_1(B,D,k6_pralg_2(A,B,C,F)))))))))))))))) # label(t16_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12714 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (-v3_struct_0(C) & -v2_msualg_1(C) & l1_msualg_1(C) -> (all D (m2_pralg_2(D,A,C) -> (all E (m1_subset_1(E,u1_msualg_1(C)) -> k5_msualg_1(C,E,k6_pralg_2(A,C,D,B)) = k1_funct_1(k13_pralg_2(A,C,D,E),B))))))))))) # label(t14_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12715 (all A all B all C (-v3_struct_0(B) & m2_pralg_2(C,A,B) & l1_msualg_1(B) & -v2_msualg_1(B) -> l3_msualg_1(k15_pralg_2(A,B,C),B))) # label(dt_k15_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12716 (all A all B all C (m2_pralg_2(C,A,B) & l1_msualg_1(B) & -v3_struct_0(B) -> v2_relat_1(k11_pralg_2(A,B,C)) & -v3_relat_1(k11_pralg_2(A,B,C)) & v1_funct_1(k11_pralg_2(A,B,C)) & v1_relat_1(k11_pralg_2(A,B,C)))) # label(fc7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12717 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_pboole(D,u1_struct_0(B)) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> k4_card_3(k10_pralg_2(A,B,E,C)) = k1_funct_1(D,E))) <-> k11_pralg_2(A,B,C) = D))))))) # label(d17_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12718 $T # label(d5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12719 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_pralg_2(D,A,B) -> (all E (m1_pboole(E,A) -> (A != k1_xboole_0 -> ((all F -((all G (l3_msualg_1(G,B) -> -(k1_funct_1(E,F) = k1_funct_1(u4_msualg_1(B,G),C) & k1_funct_1(D,F) = G))) & r2_hidden(F,A))) <-> k10_pralg_2(A,B,C,D) = E)) & (A = k1_xboole_0 -> (E = k1_xboole_0 <-> k10_pralg_2(A,B,C,D) = E)))))))))) # label(d16_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12720 $T # label(d3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12721 (all A all B all C all D (m2_pralg_2(C,A,B) & m1_subset_1(D,A) & l1_msualg_1(B) & -v3_struct_0(B) & -v1_xboole_0(A) -> k6_pralg_2(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12722 (all A (v1_pralg_2(A) & v1_fraenkel(A) & -v1_xboole_0(A) -> (all B (m1_pralg_2(B,A) -> m1_pboole(B,k1_pralg_2(A)))))) # label(dt_m1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12723 $T # label(t5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12724 (all A all B (l1_msualg_1(B) & -v2_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m3_pboole(D,u1_msualg_1(B),k8_pboole(u1_msualg_1(B),k3_finseq_2(u1_struct_0(B)),u2_msualg_1(B),k6_pboole(u1_struct_0(B),k11_pralg_2(A,B,C))),k8_pboole(u1_msualg_1(B),u1_struct_0(B),u3_msualg_1(B),k11_pralg_2(A,B,C))) -> (A != k1_xboole_0 -> ((all E (m1_subset_1(E,u1_msualg_1(B)) -> k1_funct_1(D,E) = k1_cqc_lang(k1_msualg_1(B,E),k1_xboole_0,k10_funct_6(k13_pralg_2(A,B,C,E)),k2_pralg_2(k3_pralg_2(k13_pralg_2(A,B,C,E)))))) <-> D = k14_pralg_2(A,B,C))) & (A = k1_xboole_0 -> D = k14_pralg_2(A,B,C)))))))) # label(d20_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12725 (all A all B all C (l1_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(C,A) & l3_msualg_1(C,A) & v5_msualg_1(B,A) & -v3_struct_0(A) -> l3_msualg_1(k9_pralg_2(A,B,C),A))) # label(dt_k9_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12726 $T # label(t3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12727 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> k3_msualg_1(A,C,B) = k4_card_3(k5_relat_1(k1_msualg_1(A,C),u4_msualg_1(A,B))) & k1_funct_1(u4_msualg_1(A,B),k2_msualg_1(A,C)) = k4_msualg_1(A,C,B) & k1_relat_1(k1_msualg_1(A,C)) = k1_relat_1(k5_relat_1(k1_msualg_1(A,C),u4_msualg_1(A,B))))))))) # label(t10_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12728 (all A (v1_pralg_2(A) & v1_fraenkel(A) & -v1_xboole_0(A) -> (all B (m1_pralg_2(B,A) <-> m1_subset_1(B,A))))) # label(redefinition_m1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12729 (all A (-v1_xboole_0(A) -> (all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> k8_pralg_2(A,B,C) = k3_tarski(a_3_0_pralg_2(A,B,C)))))))) # label(d14_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12730 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> (k1_xboole_0 = k1_msualg_1(A,C) -> k1_tarski(k1_xboole_0) = k3_msualg_1(A,C,B)))))))) # label(t11_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12731 (all A all B all C (l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & v5_msualg_1(C,A) & l3_msualg_1(C,A) & -v3_struct_0(A) -> v4_msualg_1(k9_pralg_2(A,B,C),A))) # label(fc5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12732 (all A all B (-v3_struct_0(B) & l1_msualg_1(B) -> (exists C m2_pralg_2(C,A,B)))) # label(existence_m2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12733 (all A (v1_pralg_2(A) & v1_fraenkel(A) -> (k1_tarski(k1_xboole_0) = A -> k1_xboole_0 = k1_pralg_2(A)))) # label(t2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12734 (all A all B all C all D (m1_subset_1(D,A) & m2_pralg_2(C,A,B) & l1_msualg_1(B) & -v3_struct_0(B) & -v1_xboole_0(A) -> l3_msualg_1(k6_pralg_2(A,B,C,D),B) & v5_msualg_1(k6_pralg_2(A,B,C,D),B))) # label(dt_k6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12735 (all A all B all C all D (-v3_struct_0(B) & l1_msualg_1(B) & m1_subset_1(D,u1_msualg_1(B)) & m2_pralg_2(C,A,B) & -v2_msualg_1(B) -> m1_pboole(k13_pralg_2(A,B,C,D),A) & v1_funcop_1(k13_pralg_2(A,B,C,D)))) # label(dt_k13_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12736 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_funcop_1(k3_pralg_2(A)) & m1_pboole(k3_pralg_2(A),k4_card_3(k2_funct_6(A))))) # label(dt_k3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12737 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k3_pralg_2(A) = k7_funct_6(A))) # label(redefinition_k3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12738 (all A (l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> k7_pralg_2(A,B) = k3_tarski(k2_relat_1(u4_msualg_1(A,B))))))) # label(d13_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12739 $T # label(dt_k7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12740 (all A all B (l1_msualg_1(B) & -v2_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> k1_funct_1(k10_funct_6(k12_pralg_2(A,B,C)),D) = k13_pralg_2(A,B,C,D))))))) # label(d19_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12741 (all A (-v1_xboole_0(A) -> (all B (-v2_msualg_1(B) & l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> r2_hidden(k10_funct_6(k12_pralg_2(A,B,C)),k1_funct_2(u1_msualg_1(B),k1_funct_2(A,k2_relat_1(k4_funct_5(k12_pralg_2(A,B,C)))))))))))))) # label(t13_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12742 (all A all B all C (m1_pboole(C,A) & v2_relat_1(C) & m1_pboole(B,A) & v2_relat_1(B) -> v2_relat_1(k11_pboole(A,B,C)) & v1_funct_1(k11_pboole(A,B,C)) & v1_relat_1(k11_pboole(A,B,C)))) # label(fc2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12743 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & -v2_msualg_1(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(E,k1_relat_1(k3_pralg_2(k13_pralg_2(A,B,C,D)))) -> A = k1_relat_1(E) & r1_tarski(k2_relat_1(E),k1_fraenkel(k1_relat_1(k1_msualg_1(B,D)),k8_pralg_2(A,B,C))) & (all F (m1_subset_1(F,A) -> r2_hidden(k1_funct_1(E,F),k3_msualg_1(B,D,k6_pralg_2(A,B,C,F)))))))))))))))) # label(t17_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12744 (all A all B all C (-v2_msualg_1(B) & l1_msualg_1(B) & m2_pralg_2(C,A,B) & -v3_struct_0(B) -> m3_pboole(k14_pralg_2(A,B,C),u1_msualg_1(B),k8_pboole(u1_msualg_1(B),k3_finseq_2(u1_struct_0(B)),u2_msualg_1(B),k6_pboole(u1_struct_0(B),k11_pralg_2(A,B,C))),k8_pboole(u1_msualg_1(B),u1_struct_0(B),u3_msualg_1(B),k11_pralg_2(A,B,C))))) # label(dt_k14_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12745 (all A (v1_relat_1(A) & v1_funct_1(A) -> (k1_relat_1(A) = k1_tarski(k1_xboole_0) -> A = k2_pralg_2(A)))) # label(t8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12746 $T # label(d9_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12747 (exists A (v1_pralg_2(A) & v1_fraenkel(A) & -v1_xboole_0(A))) # label(rc1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12748 (all A all B (-v3_struct_0(A) & l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) -> -v1_xboole_0(k7_pralg_2(A,B)))) # label(fc3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12749 (all A all B all C (-v3_struct_0(B) & m2_pralg_2(C,A,B) & l1_msualg_1(B) -> m1_pboole(k11_pralg_2(A,B,C),u1_struct_0(B)))) # label(dt_k11_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12750 (all A all B all C all D all E all F all G all H (v2_relat_1(D) & m1_pboole(D,A) & v1_funct_1(E) & v1_funct_2(E,B,k3_finseq_2(A)) & v1_funct_1(F) & m1_relset_1(F,B,A) & m3_pboole(H,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),k8_pboole(B,A,F,D)) & m3_pboole(G,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),k8_pboole(B,A,F,C)) & v1_funct_2(F,B,A) & m1_relset_1(E,B,k3_finseq_2(A)) & m1_pboole(C,A) & v2_relat_1(C) & -v1_xboole_0(A) -> m3_pboole(k5_pralg_2(A,B,C,D,E,F,G,H),B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),k8_pboole(B,A,F,k11_pboole(A,C,D))))) # label(dt_k5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12751 (all A (-v1_xboole_0(A) -> (all B (-v2_msualg_1(B) & l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (r2_hidden(E,k2_relat_1(k3_pralg_2(k13_pralg_2(A,B,C,D)))) -> v1_funct_1(E) & v1_relat_1(E))))))))))) # label(t15_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12752 (all A ((all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,A) & r2_hidden(B,A) -> k1_relat_1(C) = k1_relat_1(B)))))) <-> v1_pralg_2(A))) # label(d1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12753 (all A all B (-v3_struct_0(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_pboole(D,A) & v1_funcop_1(D) -> (k1_xboole_0 = A -> (k1_xboole_0 = D <-> k12_pralg_2(A,B,C) = D)) & (A != k1_xboole_0 -> (k12_pralg_2(A,B,C) = D <-> (all E -((all F (l3_msualg_1(F,B) -> -(u5_msualg_1(B,F) = k1_funct_1(D,E) & k1_funct_1(C,E) = F))) & r2_hidden(E,A))))))))))) # label(d18_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12754 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (v5_msualg_1(C,A) & l3_msualg_1(C,A) -> k9_pralg_2(A,B,C) = g3_msualg_1(A,k11_pboole(u1_struct_0(A),u4_msualg_1(A,B),u4_msualg_1(A,C)),k5_pralg_2(u1_struct_0(A),u1_msualg_1(A),u4_msualg_1(A,B),u4_msualg_1(A,C),u2_msualg_1(A),u3_msualg_1(A),u5_msualg_1(A,B),u5_msualg_1(A,C))))))))) # label(d15_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12755 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & m2_pralg_2(D,A,B) & l1_msualg_1(B) -> v2_relat_1(k10_pralg_2(A,B,C,D)) & v1_funct_1(k10_pralg_2(A,B,C,D)) & v1_relat_1(k10_pralg_2(A,B,C,D)))) # label(fc6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12756 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m1_pboole(C,A) -> (m2_pralg_2(C,A,B) <-> (all D (r2_hidden(D,A) -> l3_msualg_1(k1_funct_1(C,D),B) & v5_msualg_1(k1_funct_1(C,D),B)))))))) # label(d12_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12757 (all A all B all C (-v1_xboole_0(A) & -v3_struct_0(B) & l1_msualg_1(B) & m2_pralg_2(C,A,B) -> -v1_xboole_0(k8_pralg_2(A,B,C)))) # label(fc4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12758 (all A all B (-v3_struct_0(B) & -v2_msualg_1(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> r6_pboole(u1_struct_0(B),u4_msualg_1(B,k15_pralg_2(A,B,C)),k11_pralg_2(A,B,C)) & r6_pboole(u1_msualg_1(B),u5_msualg_1(B,k15_pralg_2(A,B,C)),k14_pralg_2(A,B,C)))))) # label(t20_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12759 $T # label(d7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12760 (all A (v1_fraenkel(A) & v1_pralg_2(A) & -v1_xboole_0(A) -> (exists B m1_pralg_2(B,A)))) # label(existence_m1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12761 (all A (-v1_xboole_0(A) -> (all B all C (v2_relat_1(C) & m1_pboole(C,A) -> (all D (v2_relat_1(D) & m1_pboole(D,A) -> (all E (v1_funct_2(E,B,k3_finseq_2(A)) & m2_relset_1(E,B,k3_finseq_2(A)) & v1_funct_1(E) -> (all F (m2_relset_1(F,B,A) & v1_funct_2(F,B,A) & v1_funct_1(F) -> (all G all H (v1_funct_2(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & m2_relset_1(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & v1_funct_1(H) -> (all I (v1_funct_1(I) & v1_funct_2(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) & m2_relset_1(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) -> (r2_hidden(G,B) -> (all J (v1_funct_1(J) & v1_funct_2(J,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) & m2_relset_1(J,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) -> ((all K (v1_funct_1(K) & v1_relat_1(K) -> (r2_hidden(K,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G)) -> k4_tarski(k1_funct_1(H,k15_mcart_1(K)),k1_funct_1(I,k16_mcart_1(K))) = k1_funct_1(J,K)))) <-> J = k4_pralg_2(A,B,C,D,E,F,G,H,I))))))))))))))))))) # label(d10_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12762 $T # label(d4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12763 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> k3_t_0topsp(A) = k16_borsuk_1(A,k2_t_0topsp(A)))) # label(d5_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.12 12764 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (k8_funct_2(A,B,C,E) = k8_funct_2(A,B,C,F) & r2_hidden(E,D) -> r2_hidden(F,D)))))) -> k3_funct_2(A,B,C,k2_funct_2(A,B,C,D)) = D))))))))) # label(t2_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12765 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & v2_t_0topsp(A) & v2_pre_topc(A))) # label(rc1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12766 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> u1_pre_topc(k3_t_0topsp(A)) = a_1_0_t_0topsp(A) & k2_t_0topsp(A) = u1_struct_0(k3_t_0topsp(A)))) # label(t5_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12767 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> ((exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A))) & m2_relset_1(C,u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A))) & v3_tops_2(C,k3_t_0topsp(B),k3_t_0topsp(A)) & r1_rfinseq(k4_t_0topsp(A),k7_funct_2(u1_struct_0(B),u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(B),C)))) -> r1_t_0topsp(A,B)))))) # label(t14_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12768 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> l1_pre_topc(k3_t_0topsp(A)) & v2_pre_topc(k3_t_0topsp(A)))) # label(dt_k3_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12769 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & v2_t_0topsp(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(k8_borsuk_1(A,A,D,E),k1_t_0topsp(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)))))))))))) # label(t15_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12770 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k4_t_0topsp(A) = k17_borsuk_1(A,k2_t_0topsp(A)))) # label(d6_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12771 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> -v3_struct_0(k3_t_0topsp(A)) & v2_t_0topsp(k3_t_0topsp(A)) & l1_pre_topc(k3_t_0topsp(A)) & v2_pre_topc(k3_t_0topsp(A)))) # label(t13_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12772 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_t_0topsp(k4_t_0topsp(A),A,k3_t_0topsp(A)))) # label(t12_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12773 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> k2_t_0topsp(A) = k8_eqrel_1(u1_struct_0(A),k1_t_0topsp(A)))) # label(d4_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12774 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> -v1_xboole_0(k2_t_0topsp(A)) & m1_eqrel_1(k2_t_0topsp(A),u1_struct_0(A)))) # label(dt_k2_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12775 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> ((exists C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_tops_2(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))) <-> r1_t_0topsp(A,B)))))) # label(d1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12776 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(D,A) -> v3_pre_topc(k4_pre_topc(A,B,C,D),B)))) <-> v1_t_0topsp(C,A,B)))))))) # label(d2_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12777 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> -v3_struct_0(k3_t_0topsp(A)) & v2_pre_topc(k3_t_0topsp(A)))) # label(fc1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12778 (all 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,u1_struct_0(A)) -> -(C != B & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -((-r2_hidden(B,D) & r2_hidden(C,D) | -r2_hidden(C,D) & r2_hidden(B,D)) & v3_pre_topc(D,A))))))))) <-> v2_t_0topsp(A)))) # label(d7_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12779 (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,u1_struct_0(A)) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),B) = k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),C) <-> r2_hidden(k8_borsuk_1(A,A,C,B),k1_t_0topsp(A))))))))) # label(t9_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12780 (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))) -> (v3_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,k2_t_0topsp(A)) -> r1_xboole_0(C,B) | r1_tarski(C,B))))))))) # label(t11_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12781 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k3_t_0topsp(A))) <-> (exists C (k6_eqrel_1(u1_struct_0(A),k1_t_0topsp(A),C) = B & m1_subset_1(C,u1_struct_0(A)))))))) # label(t7_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12782 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_eqrel_1(u1_struct_0(A),k1_t_0topsp(A),B) = k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),B))))) # label(t8_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12783 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & v2_t_0topsp(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_pre_topc(A,B,C,k6_eqrel_1(u1_struct_0(A),k1_t_0topsp(A),D)) = k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)))))))))) # label(t16_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12784 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) -> ((all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (r2_hidden(k4_tarski(E,F),D) <-> r2_hidden(k4_tarski(E,F),C)))))) -> D = C))))))))) # label(t1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12785 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> v3_relat_2(k1_t_0topsp(A)) & m2_relset_1(k1_t_0topsp(A),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(k1_t_0topsp(A),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k1_t_0topsp(A)))) # label(dt_k1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12786 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v2_t_0topsp(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (exists D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)) & k4_borsuk_1(A,k3_t_0topsp(A),B,k4_t_0topsp(A),D) = C & v5_pre_topc(D,k3_t_0topsp(A),B) & v1_funct_2(D,u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)))))))))) # label(t17_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12787 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),B)))))) # label(t3_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12788 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> k1_relat_1(k4_t_0topsp(A)) = u1_struct_0(A) & r1_tarski(k2_relat_1(k4_t_0topsp(A)),u1_struct_0(k3_t_0topsp(A))))) # label(t4_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12789 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(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)) -> (all D (m1_subset_1(D,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,E) <-> r2_hidden(D,E))))) <-> r2_hidden(k4_tarski(C,D),B)))))) <-> B = k1_t_0topsp(A)))))) # label(d3_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12790 (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(k3_t_0topsp(A)))) -> (v3_pre_topc(B,k3_t_0topsp(A)) <-> r2_hidden(k3_tarski(B),u1_pre_topc(A))))))) # label(t6_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12791 (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))) -> (v3_pre_topc(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) & k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),C) = k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),D) -> r2_hidden(D,B))))))))))) # label(t10_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12792 (all A all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> ((exists C (C = A & r2_hidden(k3_tarski(C),u1_pre_topc(B)) & m1_subset_1(C,k1_zfmisc_1(k2_t_0topsp(B))))) <-> r2_hidden(A,a_1_0_t_0topsp(B))))) # label(fraenkel_a_1_0_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12793 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_funct_1(k4_t_0topsp(A)) & v5_pre_topc(k4_t_0topsp(A),A,k3_t_0topsp(A)) & m2_relset_1(k4_t_0topsp(A),u1_struct_0(A),u1_struct_0(k3_t_0topsp(A))) & v1_funct_2(k4_t_0topsp(A),u1_struct_0(A),u1_struct_0(k3_t_0topsp(A))))) # label(dt_k4_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12794 (all A all B all C all D (-v3_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(A,a_3_6_quantal1(B,C,D)) <-> (exists E (A = E & r1_lattices(B,k4_monoid_0(B,E,C),D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_6_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12795 (all A (-v3_struct_0(A) & l3_quantal1(A) -> (v20_quantal1(A) <-> v18_quantal1(u1_quantal1(A),A)))) # label(d19_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12796 (all A (-v3_struct_0(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v4_lattice3(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,k4_monoid_0(A,D,B),k4_monoid_0(A,D,C)) = k4_monoid_0(A,D,k3_lattices(A,B,C)) & k3_lattices(A,k4_monoid_0(A,B,D),k4_monoid_0(A,C,D)) = k4_monoid_0(A,k3_lattices(A,B,C),D))))))))) # label(t6_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12797 (all A all B all C all D (l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> (r2_hidden(A,a_3_1_quantal1(B,C,D)) <-> (exists E (A = k4_monoid_0(B,E,C) & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12798 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v17_quantal1(B,A) -> v2_group_1(A) & k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k2_quantal1(A,B,B) & k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k1_quantal1(A,B,B)))))) # label(t19_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12799 (all A (l1_group_1(A) -> (v4_quantal1(A) & v5_quantal1(A) & -v3_struct_0(A) -> v6_quantal1(A) & -v3_struct_0(A)))) # label(cc2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12800 (all A ((exists B (A = k15_lattice3(f1_s3_quantal1,a_1_0_quantal1(B)) & r2_hidden(B,f3_s3_quantal1) & m1_subset_1(B,u1_struct_0(f1_s3_quantal1)))) <-> r2_hidden(A,a_0_4_quantal1))) # label(fraenkel_a_0_4_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12801 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l3_quantal1(A) & -v3_struct_0(A) -> m1_subset_1(k5_quantal1(A,B),u1_struct_0(A)))) # label(dt_k5_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12802 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(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)) -> (v14_quantal1(B,A) -> (v15_quantal1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k15_lattice3(A,a_3_5_quantal1(A,B,C)) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,C)))))))))) # label(t10_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12803 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (k1_lattice3(k1_xboole_0) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> v4_group_1(A) & v6_quantal1(A) & v10_lattices(A) & v8_quantal1(A) & v7_quantal1(A) & v4_lattice3(A) & v2_group_1(A) & v7_group_1(A)))) # label(t4_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12804 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (v7_quantal1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C k15_lattice3(A,a_3_0_quantal1(A,B,C)) = k4_monoid_0(A,B,k15_lattice3(A,C)))))))) # label(d5_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12805 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> (v13_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),C)))))))) # label(d11_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12806 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all 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(B)) -> (exists D (r1_lattices(A,k15_lattice3(A,C),D) & r2_hidden(D,B) & m1_subset_1(D,u1_struct_0(A)))))) <-> v1_quantal1(B,A)))))) # label(d1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12807 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v20_quantal1(A) & v8_quantal1(A) & v2_group_1(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (k16_lattice3(A,a_3_11_quantal1(A,B,C)) = k9_quantal1(A,k16_lattice3(A,C),B) & k4_monoid_0(A,k15_lattice3(A,C),B) = k15_lattice3(A,a_3_10_quantal1(A,B,C)))))))) # label(t28_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12808 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all 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)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,C,D) -> r1_lattices(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,D))))))) <-> v14_quantal1(B,A)))))) # label(d12_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12809 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v4_lattice3(B) -> (r2_hidden(A,a_3_5_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & k8_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) = A))))) # label(fraenkel_a_3_5_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12810 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_quantal1(A,k1_quantal1(A,C,B),B) = C & C = k1_quantal1(A,k2_quantal1(A,C,B),B))) <-> v17_quantal1(B,A)))))) # label(d17_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12811 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (v17_quantal1(u1_quantal1(A),A) <-> v21_quantal1(A)))) # label(d20_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12812 (all A (v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & -v3_struct_0(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),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_quantal1(A,k1_quantal1(A,D,B),B))) -> v14_quantal1(C,A)))))))) # label(t14_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12813 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & v2_group_1(B) & v4_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & v4_lattice3(B) -> (r2_hidden(A,a_2_0_quantal1(B,C)) <-> (exists D (k5_quantal1(B,D) = A & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12814 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v6_quantal1(A) -> v5_quantal1(A) & v4_quantal1(A) & -v3_struct_0(A)))) # label(cc1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12815 (all A (v10_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v4_group_1(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (k4_monoid_0(A,B,k15_lattice3(A,C)) = k15_lattice3(A,a_3_8_quantal1(A,B,C)) & k16_lattice3(A,a_3_9_quantal1(A,B,C)) = k9_quantal1(A,B,k16_lattice3(A,C)))))))) # label(t27_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12816 (exists A (l3_quantal1(A) & v7_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v8_quantal1(A) & v9_quantal1(A) & v19_quantal1(A) & v21_quantal1(A) & v20_quantal1(A) & v10_quantal1(A) & v7_quantal1(A) & v7_group_1(A) & v4_group_1(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A))) # label(rc12_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12817 (all A (v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v2_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)) -> k5_quantal1(A,k4_monoid_0(A,k5_quantal1(A,B),k5_quantal1(A,C))) = k9_quantal1(A,B,C))))))) # label(d27_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12818 (all A (l2_quantal1(A) & v2_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_lattice3(A) & v10_lattices(A) -> -v3_struct_0(A) & v2_group_1(A) & v4_group_1(A) & v4_quantal1(A) & v9_quantal1(A) & l2_quantal1(A) & v10_quantal1(A) & v6_quantal1(A) & v4_lattice3(A) & v10_lattices(A)))) # label(t7_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12819 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) -> ((exists E exists F (m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & r2_hidden(E,C) & r2_hidden(F,D) & k4_monoid_0(B,E,F) = A)) <-> r2_hidden(A,a_3_3_quantal1(B,C,D))))) # label(fraenkel_a_3_3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12820 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B (m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & -v1_xboole_0(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A)) & v14_quantal1(B,A) & v13_quantal1(B,A) & v12_quantal1(B,A) & v1_funct_1(B) & v1_relat_1(B))))) # label(rc9_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12821 (all A (v10_lattices(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B k15_lattice3(A,a_2_0_quantal1(A,B)) = k5_quantal1(A,k16_lattice3(A,B))))) # label(t25_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12822 (all A all B all C all D all E all F (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) & -v1_xboole_0(A) -> -v3_struct_0(g3_quantal1(A,B,C,D,E,F)) & v19_quantal1(g3_quantal1(A,B,C,D,E,F)))) # label(fc3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12823 (exists A (v3_quantal1(A) & l2_quantal1(A))) # label(rc3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12824 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_quantal1(A,C,B) = k1_quantal1(A,C,B))) <-> v18_quantal1(B,A)))))) # label(d18_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12825 (all A (l1_quantal1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_quantal1(B,A) & v1_quantal1(C,A) -> k4_monoid_0(A,k15_lattice3(A,B),k15_lattice3(A,C)) = k15_lattice3(A,a_3_2_quantal1(A,B,C))))))) <-> v10_quantal1(A)))) # label(d8_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12826 (exists A l3_quantal1(A)) # label(existence_l3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12827 (all A (l3_quantal1(A) -> m1_subset_1(u1_quantal1(A),u1_struct_0(A)))) # label(dt_u1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12828 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (D = F & C = E -> k1_lattices(B,E,F) = k1_lattices(A,C,D) & (r1_lattices(B,E,F) -> r1_lattices(A,C,D)) & (r1_lattices(A,C,D) -> r1_lattices(B,E,F)) & k2_lattices(A,C,D) = k2_lattices(B,E,F))))))))))))))) # label(t1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12829 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (v9_quantal1(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_monoid_0(A,D,k1_lattices(A,B,C)) = k1_lattices(A,k4_monoid_0(A,D,B),k4_monoid_0(A,D,C)) & k1_lattices(A,k4_monoid_0(A,B,D),k4_monoid_0(A,C,D)) = k4_monoid_0(A,k1_lattices(A,B,C),D)))))))))) # label(d7_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12830 (all A (r2_hidden(A,a_0_0_quantal1) <-> (exists B (m1_subset_1(B,f2_s1_quantal1) & A = f3_s1_quantal1(B) & r2_hidden(B,a_0_1_quantal1))))) # label(fraenkel_a_0_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12831 (all A all B all C all D (-v3_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & k4_monoid_0(B,C,E) = A)) <-> r2_hidden(A,a_3_0_quantal1(B,C,D))))) # label(fraenkel_a_3_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12832 (exists A (-v3_struct_0(A) & v9_lattices(A) & v10_lattices(A) & v2_group_1(A) & v7_group_1(A) & v4_quantal1(A) & v6_quantal1(A) & v7_quantal1(A) & v8_quantal1(A) & v5_quantal1(A) & v4_group_1(A) & v4_lattice3(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & l1_quantal1(A))) # label(rc6_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12833 (all A all B (-v3_struct_0(A) & v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & l3_quantal1(A) -> m2_relset_1(k8_quantal1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(k8_quantal1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(k8_quantal1(A,B)))) # label(dt_k8_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12834 (all A all B all C all D (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> v2_quantal1(g1_quantal1(A,B,C,D)) & l1_quantal1(g1_quantal1(A,B,C,D)))) # label(dt_g1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12835 (all A (-v3_struct_0(A) & v4_group_1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v2_group_1(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_quantal1(A,k3_quantal1(A),B) = B & B = k9_quantal1(A,B,k3_quantal1(A)))))) # label(t33_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12836 (all A all B all C (-v3_struct_0(A) & l1_quantal1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k2_quantal1(A,B,C),u1_struct_0(A)))) # label(dt_k2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12837 (exists A (-v3_struct_0(A) & l3_quantal1(A))) # label(rc11_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12838 (all A (v10_lattices(A) & v4_group_1(A) & l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_lattice3(A) & -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,k4_monoid_0(A,B,D),k4_monoid_0(A,C,E))))))))))))) # label(t9_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12839 (all A (r2_hidden(A,a_0_1_quantal1) <-> (exists B (m1_subset_1(B,f1_s1_quantal1) & A = f4_s1_quantal1(B) & p1_s1_quantal1(B))))) # label(fraenkel_a_0_1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12840 (all A (v10_lattices(A) & l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v18_quantal1(B,A) -> r3_lattices(A,C,k2_quantal1(A,k2_quantal1(A,C,B),B)) & r3_lattices(A,C,k1_quantal1(A,k1_quantal1(A,C,B),B))))))))) # label(t16_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12841 (all A (l1_quantal1(A) -> l3_lattices(A) & l1_group_1(A))) # label(dt_l1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12842 (exists A l2_quantal1(A)) # label(existence_l2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12843 (all A (v2_group_1(A) & v8_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v20_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k5_quantal1(A,C),k5_quantal1(A,B))))))))) # label(t23_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12844 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k1_group_1(A,C,B))))) <-> v5_quantal1(A)))) # label(d3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12845 (all A (v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_monoid_0(A,B,k4_quantal1(A)) = B & B = k4_monoid_0(A,k4_quantal1(A),B))))) # label(t32_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12846 (all A all B all C all D all E (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all F all G all H all I all J (g2_quantal1(F,G,H,I,J) = g2_quantal1(A,B,C,D,E) -> C = H & J = E & I = D & B = G & A = F)))) # label(free_g2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12847 (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) & 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(A,A),A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all G all H all I all J all K all L (g3_quantal1(A,B,C,D,E,F) = g3_quantal1(G,H,I,J,K,L) -> J = D & F = L & E = K & C = I & B = H & G = A)))) # label(free_g3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12848 (all A (l2_quantal1(A) -> (v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v10_lattices(A) & v10_quantal1(A) & v9_quantal1(A) & v4_lattice3(A) & v9_lattices(A) & v4_lattices(A)))) # label(cc3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12849 (all A (v10_lattices(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_lattice3(A) & -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)) -> (v18_quantal1(B,A) -> r3_lattices(A,k4_monoid_0(A,k1_quantal1(A,k1_quantal1(A,C,B),B),k1_quantal1(A,k1_quantal1(A,D,B),B)),k1_quantal1(A,k1_quantal1(A,k4_monoid_0(A,C,D),B),B))))))))))) # label(t18_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12850 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v8_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v20_quantal1(A) & v7_quantal1(A) & v4_group_1(A) -> (all B k16_lattice3(A,a_2_0_quantal1(A,B)) = k5_quantal1(A,k15_lattice3(A,B))))) # label(t24_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12851 (all A all B all C all D (v2_group_1(B) & v4_group_1(B) & v8_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & l3_quantal1(B) & v21_quantal1(B) & v20_quantal1(B) & v7_quantal1(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & k9_quantal1(B,C,E) = A)) <-> r2_hidden(A,a_3_9_quantal1(B,C,D))))) # label(fraenkel_a_3_9_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12852 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v11_quantal1(A) <-> k5_relat_1(A,A) = A))) # label(d9_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12853 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_quantal1(A,B) = k1_quantal1(A,B,k3_quantal1(A)))))) # label(d23_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12854 (all A (v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v2_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)) -> (r3_lattices(A,D,E) & r3_lattices(A,B,C) -> r3_lattices(A,k9_quantal1(A,B,D),k9_quantal1(A,C,E))))))))))))) # label(t30_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12855 (all A (r2_hidden(A,a_0_5_quantal1) <-> (exists B exists C (A = f2_s3_quantal1(B,C) & r2_hidden(C,f4_s3_quantal1) & r2_hidden(B,f3_s3_quantal1) & m1_subset_1(C,u1_struct_0(f1_s3_quantal1)) & m1_subset_1(B,u1_struct_0(f1_s3_quantal1)))))) # label(fraenkel_a_0_5_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12856 (all A (m1_subset_1(A,f1_s2_quantal1) -> -p1_s2_quantal1(A))) -> k1_xboole_0 = a_0_3_quantal1 # label(s2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12857 (all A all B all C all D (m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & l1_quantal1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_7_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = E & r1_lattices(B,k4_monoid_0(B,C,E),D)))))) # label(fraenkel_a_3_7_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12858 (all A (-v3_struct_0(A) & l3_quantal1(A) -> k1_quantal1(A,k3_quantal1(A),k3_quantal1(A)) = k4_quantal1(A))) # label(d22_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12859 (all A all B all C all D all E (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(D,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> l2_quantal1(g2_quantal1(A,B,C,D,E)) & v3_quantal1(g2_quantal1(A,B,C,D,E)))) # label(dt_g2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12860 (all A (r2_hidden(A,a_0_2_quantal1) <-> (exists B (m1_subset_1(B,f1_s1_quantal1) & A = f3_s1_quantal1(f4_s1_quantal1(B)) & p1_s1_quantal1(B))))) # label(fraenkel_a_0_2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12861 (exists A l1_quantal1(A)) # label(existence_l1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12862 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all 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)) & v1_funct_1(B) -> (v15_quantal1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_lattices(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,C)),k15_lattice3(A,a_3_4_quantal1(A,B,C)))))))))) # label(d13_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12863 (exists A (l1_quantal1(A) & v2_quantal1(A))) # label(rc1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12864 (all A (-v3_struct_0(A) & v10_lattices(A) & v2_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v20_quantal1(A) & v4_group_1(A) & v4_lattice3(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,k9_quantal1(A,B,C),k9_quantal1(A,B,D)) = k9_quantal1(A,B,k4_lattices(A,C,D)) & k4_lattices(A,k9_quantal1(A,C,B),k9_quantal1(A,D,B)) = k9_quantal1(A,k4_lattices(A,C,D),B))))))))) # label(t29_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12865 (all A all B all C all D all E all F (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) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> l3_quantal1(g3_quantal1(A,B,C,D,E,F)) & v19_quantal1(g3_quantal1(A,B,C,D,E,F)))) # label(dt_g3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12866 (all A (l3_quantal1(A) & -v3_struct_0(A) -> m1_subset_1(k4_quantal1(A),u1_struct_0(A)))) # label(dt_k4_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12867 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & v2_group_1(B) & v4_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & l3_quantal1(B) & v21_quantal1(B) & v20_quantal1(B) & v8_quantal1(B) & v7_quantal1(B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & A = k4_monoid_0(B,C,E))) <-> r2_hidden(A,a_3_8_quantal1(B,C,D))))) # label(fraenkel_a_3_8_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12868 (all A all B all C all D (v10_lattices(B) & v2_group_1(B) & v4_group_1(B) & v7_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & v8_quantal1(B) & v4_lattice3(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_11_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & k9_quantal1(B,E,C) = A & r2_hidden(E,D)))))) # label(fraenkel_a_3_11_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12869 (all A ((exists B (m1_subset_1(B,f1_s2_quantal1) & p1_s2_quantal1(B) & A = f2_s2_quantal1(B))) <-> r2_hidden(A,a_0_3_quantal1))) # label(fraenkel_a_0_3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12870 (all A all B (m1_subset_1(B,u1_struct_0(f1_s3_quantal1)) -> ((exists C (m1_subset_1(C,u1_struct_0(f1_s3_quantal1)) & r2_hidden(C,f4_s3_quantal1) & f2_s3_quantal1(B,C) = A)) <-> r2_hidden(A,a_1_0_quantal1(B))))) # label(fraenkel_a_1_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.13 12871 (all A all B (-v3_struct_0(A) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(B) & l3_quantal1(A) -> v1_funct_1(k7_quantal1(A,B)) & m2_relset_1(k7_quantal1(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k7_quantal1(A,B),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k7_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12872 (all A all B all C all D (v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_1(C) & l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_4_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = k8_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) & r2_hidden(E,D)))))) # label(fraenkel_a_3_4_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12873 (all A (v2_group_1(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v4_lattice3(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)) -> k5_quantal1(A,k4_lattices(A,B,C)) = k3_lattices(A,k5_quantal1(A,B),k5_quantal1(A,C)) & k5_quantal1(A,k3_lattices(A,B,C)) = k4_lattices(A,k5_quantal1(A,B),k5_quantal1(A,C)))))))) # label(t26_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12874 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (l3_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (C = D -> (r4_lattice3(A,C,E) -> r4_lattice3(B,D,E)) & (r4_lattice3(B,D,E) -> r4_lattice3(A,C,E)) & (r3_lattice3(B,D,E) -> r3_lattice3(A,C,E)) & (r3_lattice3(A,C,E) -> r3_lattice3(B,D,E))))))))))))) # label(t2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12875 (all A all B all C all D all E (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) & -v1_xboole_0(A) -> v3_quantal1(g2_quantal1(A,B,C,D,E)) & -v3_struct_0(g2_quantal1(A,B,C,D,E)))) # label(fc2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12876 (all A (l3_quantal1(A) -> l2_quantal1(A))) # label(dt_l3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12877 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v18_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_monoid_0(A,C,D),B) -> r3_lattices(A,k4_monoid_0(A,D,C),B))))))))))) # label(t15_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12878 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) -> (all B all C k15_lattice3(A,a_3_3_quantal1(A,B,C)) = k4_monoid_0(A,k15_lattice3(A,B),k15_lattice3(A,C))))) # label(t5_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12879 (exists A (l1_quantal1(A) & -v3_struct_0(A))) # label(rc2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12880 (all A (l3_quantal1(A) -> k3_quantal1(A) = u1_quantal1(A))) # label(d21_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12881 (all A (l3_quantal1(A) -> (v19_quantal1(A) -> A = g3_quantal1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_group_1(A),u1_vectsp_1(A),u1_quantal1(A))))) # label(abstractness_v19_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12882 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> (v12_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,C,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))))))))) # label(d10_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12883 (all A all B all C (v8_quantal1(A) & v20_quantal1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_quantal1(A) & v21_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k9_quantal1(A,B,C),u1_struct_0(A)))) # label(dt_k9_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12884 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(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)) -> (v17_quantal1(B,A) -> k1_quantal1(A,C,D) = k1_quantal1(A,k4_monoid_0(A,C,k2_quantal1(A,D,B)),B) & k2_quantal1(A,C,D) = k2_quantal1(A,k4_monoid_0(A,k1_quantal1(A,D,B),C),B)))))))))) # label(t20_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12885 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (v8_quantal1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C k4_monoid_0(A,k15_lattice3(A,C),B) = k15_lattice3(A,a_3_1_quantal1(A,B,C)))))))) # label(d6_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12886 (all A (-v3_struct_0(A) & v10_lattices(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v4_lattice3(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_monoid_0(A,B,D),k4_monoid_0(A,C,D)) & r3_lattices(A,k4_monoid_0(A,D,B),k4_monoid_0(A,D,C))))))))))) # label(t8_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12887 (exists A (-v3_struct_0(A) & l2_quantal1(A))) # label(rc4_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12888 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_quantal1(A,B,C) = k15_lattice3(A,a_3_7_quantal1(A,B,C)))))))) # label(d16_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12889 (all A all B all C all D (-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_funct_1(C) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g1_quantal1(A,B,C,D)) & v2_quantal1(g1_quantal1(A,B,C,D)))) # label(fc1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12890 (all A all B all C all D (-v3_struct_0(B) & l1_quantal1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,a_3_2_quantal1(B,C,D)) <-> (exists E exists F (m1_subset_1(F,u1_struct_0(B)) & A = k4_monoid_0(B,E,F) & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12891 (all A (-v3_struct_0(A) & v2_group_1(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k9_quantal1(A,B,k9_quantal1(A,C,D)) = k9_quantal1(A,k9_quantal1(A,B,C),D))))))))) # label(t31_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12892 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v6_quantal1(A) <-> v5_quantal1(A) & v4_quantal1(A)))) # label(d4_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12893 (all A all B all C (l1_quantal1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k1_quantal1(A,B,C),u1_struct_0(A)))) # label(dt_k1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12894 (exists A (l2_quantal1(A) & -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v8_lattices(A) & v10_lattices(A) & v4_lattice3(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A))) # label(rc7_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12895 (all A (l1_quantal1(A) & -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_quantal1(A,B,C) = k15_lattice3(A,a_3_6_quantal1(A,B,C)))))))) # label(d15_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12896 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_quantal1(B,A) & v1_xboole_0(B)))))) # label(t3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12897 (exists A (l3_quantal1(A) & v19_quantal1(A))) # label(rc10_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12898 (all A (v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(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,C,D) -> r3_lattices(A,k1_quantal1(A,D,B),k1_quantal1(A,C,B)) & r3_lattices(A,k2_quantal1(A,D,B),k2_quantal1(A,C,B))))))))))) # label(t13_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12899 (all A (l3_quantal1(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)) -> k5_quantal1(A,C) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) <-> k6_quantal1(A) = B))))) # label(d24_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12900 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v4_quantal1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = B))))))) # label(d2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12901 (all A (-v3_struct_0(A) & l3_quantal1(A) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = k1_lattice3(k1_xboole_0) -> v21_quantal1(A) & v20_quantal1(A)))) # label(t21_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12902 (all A (l1_quantal1(A) -> (v2_quantal1(A) -> g1_quantal1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_group_1(A)) = A))) # label(abstractness_v2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12903 (all A (v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_monoid_0(A,B,C),D) <-> r3_lattices(A,B,k1_quantal1(A,C,D))))))))))) # label(t12_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12904 (all A (-v3_struct_0(A) & l3_quantal1(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(B) -> k7_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),B,k6_quantal1(A)) = k8_quantal1(A,B))))) # label(d26_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12905 (all A (l2_quantal1(A) -> (v3_quantal1(A) -> A = g2_quantal1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_group_1(A),u1_vectsp_1(A))))) # label(abstractness_v3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12906 (all A (l3_quantal1(A) -> m1_subset_1(k3_quantal1(A),u1_struct_0(A)))) # label(dt_k3_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12907 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & v2_group_1(B) & v7_quantal1(B) & v8_quantal1(B) & v20_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & v21_quantal1(B) & v4_group_1(B) & v4_lattice3(B) -> ((exists E (k4_monoid_0(B,E,C) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_10_quantal1(B,C,D))))) # label(fraenkel_a_3_10_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12908 (all A (v10_lattices(A) & v4_group_1(A) & v8_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v7_quantal1(A) & v2_group_1(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k5_quantal1(A,k5_quantal1(A,B)))))) # label(t22_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12909 (all A all B all C all D (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all E all F all G all H (g1_quantal1(A,B,C,D) = g1_quantal1(E,F,G,H) -> D = H & G = C & B = F & A = E)))) # label(free_g1_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12910 (all A (v10_lattices(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_monoid_0(A,B,C),D) <-> r3_lattices(A,C,k2_quantal1(A,B,D))))))))))) # label(t11_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12911 (all A (l3_quantal1(A) & -v3_struct_0(A) -> v1_funct_2(k6_quantal1(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k6_quantal1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k6_quantal1(A)))) # label(dt_k6_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12912 (exists A (l1_group_1(A) & -v3_struct_0(A) & v4_quantal1(A) & v5_quantal1(A) & v6_quantal1(A))) # label(rc5_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12913 (exists A (l2_quantal1(A) & v4_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v4_quantal1(A) & v6_quantal1(A) & v8_quantal1(A) & v9_quantal1(A) & v10_quantal1(A) & v7_quantal1(A) & v5_quantal1(A) & v7_group_1(A) & v2_group_1(A) & v5_lattices(A) & -v3_struct_0(A))) # label(rc8_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12914 (all A (l2_quantal1(A) -> l1_quantal1(A) & l1_vectsp_1(A))) # label(dt_l2_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12915 (all A (v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v18_quantal1(B,A) -> k1_quantal1(A,C,B) = k1_quantal1(A,k1_quantal1(A,k1_quantal1(A,C,B),B),B) & k2_quantal1(A,C,B) = k2_quantal1(A,k2_quantal1(A,k2_quantal1(A,C,B),B),B)))))))) # label(t17_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12916 (all A (v4_lattice3(A) & v4_group_1(A) & l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v10_lattices(A) & -v3_struct_0(A) -> (all 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)) & v1_funct_1(B) -> -(v11_quantal1(B) & v15_quantal1(B,A) & (all C (-v3_struct_0(C) & v10_lattices(C) & l3_lattices(C) & v4_lattice3(C) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> k15_lattice3(C,D) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,D)))) & u1_struct_0(C) = k2_relat_1(B)))) & v14_quantal1(B,A)))))) # label(t34_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12917 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> k2_monoid_0(u1_struct_0(A),B,k6_quantal1(A)) = k7_quantal1(A,B))))) # label(d25_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12918 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all 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)) & v1_funct_1(B) -> (v16_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_lattices(A,k4_monoid_0(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)),k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k4_monoid_0(A,C,D)))))))))))) # label(d14_quantal1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12919 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v2_tdlat_3(B) & v3_tdlat_3(B) & v4_tex_4(B,A))))) # label(rc1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12920 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k1_struct_0(A,B),k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B))))))) # label(t14_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12921 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_tex_4(B,A))))) # label(t9_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12922 (all A all B (l1_pre_topc(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> -v3_struct_0(k6_tex_4(A,B)) & v1_pre_topc(k6_tex_4(A,B)))) # label(fc16_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12923 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k5_tex_4(A,B)) & v1_pre_topc(k5_tex_4(A,B)))) # label(fc14_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12924 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_pre_topc(k6_tex_4(A,B),A) & v1_pre_topc(k6_tex_4(A,B)))) # label(dt_k6_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12925 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & l1_pre_topc(A) -> v3_pre_topc(k1_tops_1(A,B),A) & v4_pre_topc(k1_tops_1(A,B),A) & v3_tops_1(k1_tops_1(A,B),A) & v1_tex_2(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) & v2_membered(k1_tops_1(A,B)) & v5_membered(k1_tops_1(A,B)) & v4_membered(k1_tops_1(A,B)) & v3_membered(k1_tops_1(A,B)) & v1_membered(k1_tops_1(A,B)) & v2_tops_1(k1_tops_1(A,B),A) & v1_xboole_0(k1_tops_1(A,B)))) # label(fc7_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12926 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_setfam_1(u1_struct_0(A),k1_tex_4(A,B)) = k1_struct_0(A,B))))) # label(t13_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12927 (all A all B (l1_pre_topc(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> v1_pre_topc(k6_tex_4(A,B)) & -v2_tex_2(k6_tex_4(A,B),A) & -v3_struct_0(k6_tex_4(A,B)))) # label(fc18_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12928 $T # label(t3_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12929 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_pre_topc(A,k1_struct_0(A,B)) = k1_setfam_1(a_2_1_tex_4(A,B)))))) # label(t2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12930 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(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))) -> (r2_hidden(C,D) & r2_hidden(C,B) & v3_pre_topc(D,A) -> r1_tarski(B,D))))))))))) # label(d1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12931 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v3_struct_0(B) -> (r2_hidden(A,a_2_6_tex_4(B,C)) <-> (exists D (k2_tex_4(B,D) = A & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_6_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12932 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_subset_1(k2_tex_4(A,B),k2_tex_4(A,C)) | k2_tex_4(A,C) = k2_tex_4(A,B))))))) # label(t24_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12933 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(B,k3_tex_4(A,B)))))) # label(t34_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12934 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,k3_tex_4(A,B)) = k3_tex_4(A,B))))) # label(t35_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12935 (all A all B all C (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D = A & r2_hidden(C,D) & v4_pre_topc(D,B))) <-> r2_hidden(A,a_2_4_tex_4(B,C))))) # label(fraenkel_a_2_4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12936 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (a_2_4_tex_4(A,B) != k1_xboole_0 -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_4_tex_4(A,B)))))))) # label(t27_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12937 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_4(B,A) -> v2_pre_topc(B) & v2_tdlat_3(B) & v3_tdlat_3(B)))))) # label(cc1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12938 (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,u1_struct_0(A)) -> (-((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_tarski(k4_tex_4(A,C),D) & r1_xboole_0(D,k4_tex_4(A,B))))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(k4_tex_4(A,B),D) & r1_xboole_0(D,k4_tex_4(A,C)) & v3_pre_topc(D,A))))) <-> r1_subset_1(k4_tex_4(A,B),k4_tex_4(A,C))))))))) # label(t55_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12939 (all A (-v3_struct_0(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(k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t39_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12940 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> ((all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) -> m1_pre_topc(B,C) | r1_tsep_1(A,B,C))) -> v2_tdlat_3(B)))))) # label(t71_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12941 (all 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)) -> (-r1_xboole_0(k2_tex_4(A,C),k3_tex_4(A,B)) -> r1_tarski(k2_tex_4(A,C),k3_tex_4(A,B))))))))) # label(t32_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12942 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> m1_subset_1(k4_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k4_tex_4(A,B)))) # label(dt_k4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12943 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_subset_1(C,u1_struct_0(B)) -> m1_pre_topc(k5_tex_4(A,C),B)))))))) # label(t79_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12944 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> -v1_xboole_0(k2_tex_4(A,B)))) # label(fc9_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12945 (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))) -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_10_tex_4(A,B))))))) # label(t57_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12946 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tex_4(B,A) -> v1_tex_4(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t11_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12947 (all A (-v3_struct_0(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_tex_4(B,A) & r2_hidden(C,B) -> B = k2_tex_4(A,C)))))))) # label(t29_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12948 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k6_pre_topc(A,B) = k6_pre_topc(A,k1_struct_0(A,C)))))))))) # label(d13_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12949 (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))) -> (r1_tarski(k6_pre_topc(A,k1_struct_0(A,B)),C) & v1_tex_4(C,A) -> C = k6_pre_topc(A,k1_struct_0(A,B))))))))) # label(t44_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12950 (all A (-v3_struct_0(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) & v1_tex_4(B,A) -> v1_tex_4(C,A)))))))) # label(t7_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12951 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_pre_topc(k7_tex_4(A,C),B)))))))) # label(t90_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12952 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_xboole_0(k6_pre_topc(A,k1_struct_0(A,B)),k1_setfam_1(a_2_9_tex_4(A,B))) = k4_tex_4(A,B))))) # label(d15_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12953 (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))) -> (v4_pre_topc(B,A) & v1_tex_4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k6_pre_topc(A,k1_struct_0(A,C)) = B)))))))) # label(t45_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12954 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> B = k2_tex_4(A,C)))) <-> v3_tex_4(B,A)))))) # label(d10_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12955 (all A all B (-v3_realset2(A) & -v1_realset1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> -v3_realset2(k7_tex_4(A,B)) & v1_pre_topc(k7_tex_4(A,B)) & -v3_struct_0(k7_tex_4(A,B)))) # label(fc20_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12956 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) -> v2_tops_1(B,A) | v3_pre_topc(B,A)))))) # label(t46_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12957 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> (k7_tex_4(A,B) = C <-> k3_tex_4(A,B) = u1_struct_0(C)))))))) # label(d19_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12958 (all 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)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,D) & r2_hidden(C,B) & v4_pre_topc(D,A) -> r1_tarski(B,D)))))) <-> v1_tex_4(B,A)))))) # label(d2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12959 (all 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)) -> (v4_pre_topc(B,A) & r2_hidden(C,B) -> r1_tarski(k2_tex_4(A,C),B)))))))) # label(t25_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12960 (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))) -> k6_pre_topc(A,B) = k3_tex_4(A,k6_pre_topc(A,B)))))) # label(t63_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12961 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_pre_topc(k6_tex_4(A,C),B)))))))) # label(t82_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12962 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_tex_4(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12963 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tsep_1(B,A) & v2_tdlat_3(B) -> v2_pre_topc(B) & v3_tdlat_3(B) & v4_tex_4(B,A) & v2_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc3_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12964 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v2_tdlat_3(B) -> (all C (m1_pre_topc(C,A) & v1_tsep_1(C,A) -> m1_pre_topc(B,C) | r1_tsep_1(A,B,C))))))) # label(t72_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12965 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & -v3_struct_0(A) -> v1_xboole_0(k3_tex_4(A,B)) & v2_tops_1(k3_tex_4(A,B),A) & v1_tex_2(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_membered(k3_tex_4(A,B)) & v2_membered(k3_tex_4(A,B)) & v4_membered(k3_tex_4(A,B)) & v5_membered(k3_tex_4(A,B)) & v3_membered(k3_tex_4(A,B)))) # label(fc11_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12966 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tex_4(B,A) -> k1_xboole_0 = k6_setfam_1(u1_struct_0(A),B) | v1_tex_4(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t10_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12967 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_struct_0(A,B) = k6_pre_topc(A,k1_struct_0(A,B)) -> v3_tex_4(k1_struct_0(A,B),A)))))) # label(t47_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12968 (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))) -> (v4_pre_topc(B,A) -> B = k3_tex_4(A,B)))))) # label(t62_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12969 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r1_tarski(B,k6_pre_topc(A,k1_struct_0(A,C))))))))))) # label(d12_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12970 (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,u1_struct_0(A)) -> (k6_pre_topc(A,k1_struct_0(A,B)) = k6_pre_topc(A,k1_struct_0(A,C)) <-> k2_tex_4(A,C) = k2_tex_4(A,B)))))))) # label(t51_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12971 (all A all B (-v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_tex_4(A,B)) & -v1_tex_2(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(fc12_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12972 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) & -v4_tex_4(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_tex_2(B,A) & -v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc8_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12973 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_3_tex_4(B,C)) <-> (exists D (D = A & v1_tex_4(D,B) & r2_hidden(C,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_3_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12974 (all 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))) -> (D = C & v3_tex_4(C,A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v3_tex_4(D,B)))))))))) # label(t16_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12975 (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))) -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_0_tex_4(A,B))))))) # label(t60_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12976 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_pre_topc(k7_tex_4(A,B),A) & v1_pre_topc(k7_tex_4(A,B)))) # label(dt_k7_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12977 (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))) -> k6_pre_topc(A,B) = k1_setfam_1(a_2_0_tex_4(A,B)))))) # label(t1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12978 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & -v3_struct_0(B) -> ((exists D (v4_pre_topc(D,B) & r1_tarski(C,D) & D = A & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_8_tex_4(B,C))))) # label(fraenkel_a_2_8_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12979 (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))) -> k6_pre_topc(A,k3_tex_4(A,B)) = k6_pre_topc(A,B))))) # label(t64_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12980 (all A (-v3_struct_0(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)) -> -(r1_xboole_0(k2_tex_4(A,C),B) & -r1_xboole_0(k2_tex_4(A,C),k3_tex_4(A,B))))))))) # label(t31_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12981 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v2_tex_4(k1_tex_4(A,B),A))))) # label(t12_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12982 (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,u1_struct_0(A)) -> (r1_subset_1(k2_tex_4(A,B),k2_tex_4(A,C)) <-> k6_pre_topc(A,k1_struct_0(A,B)) != k6_pre_topc(A,k1_struct_0(A,C))))))))) # label(t52_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12983 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> m1_pre_topc(k7_tex_4(A,B),k7_tex_4(A,C))))))))) # label(t86_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12984 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) & v3_pre_topc(B,A) -> v3_tex_4(B,A)))))) # label(t18_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12985 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> g1_pre_topc(u1_struct_0(k7_tex_4(A,k3_tex_4(A,B))),u1_pre_topc(k7_tex_4(A,k3_tex_4(A,B)))) = g1_pre_topc(u1_struct_0(k7_tex_4(A,B)),u1_pre_topc(k7_tex_4(A,B))))))) # label(t87_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12986 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) & v4_pre_topc(B,A) -> v3_tex_4(B,A)))))) # label(t19_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12987 (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(k2_tex_4(A,B),k1_setfam_1(a_2_9_tex_4(A,B))))))) # label(t48_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12988 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> m1_subset_1(k2_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12989 (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))) -> k1_tops_1(A,B) = k3_tex_4(A,k1_tops_1(A,B)))))) # label(t59_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12990 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_pre_topc(k7_tex_4(A,C),B)))))))) # label(t91_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12991 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_pre_topc(A) -> -v3_struct_0(k7_tex_4(A,B)) & v1_pre_topc(k7_tex_4(A,B)))) # label(fc19_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12992 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_tex_4(A,B)))) # label(fc8_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12993 (all 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,u1_struct_0(A)) -> (k2_tex_4(A,B) = k2_tex_4(A,C) <-> r2_hidden(C,k2_tex_4(A,B))))))))) # label(t23_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12994 (all 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))) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v1_tex_4(C,A) & D = C -> v1_tex_4(D,B)))))))))) # label(t6_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12995 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> v1_pre_topc(k5_tex_4(A,B)) & m1_pre_topc(k5_tex_4(A,B),A))) # label(dt_k5_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12996 (all A all B all C (v2_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_9_tex_4(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r2_hidden(C,D) & v3_pre_topc(D,B)))))) # label(fraenkel_a_2_9_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12997 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_subset_1(C,u1_struct_0(B)) -> m1_pre_topc(k5_tex_4(A,C),B)))))))) # label(t78_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12998 (all A all B all C (v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(C,D) & v4_pre_topc(D,B) & A = D)) <-> r2_hidden(A,a_2_0_tex_4(B,C))))) # label(fraenkel_a_2_0_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 12999 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v4_tex_4(B,A) <-> v3_tex_4(C,A))))))))) # label(t74_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13000 (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))) -> r1_tarski(k3_tex_4(A,B),k6_pre_topc(A,B)))))) # label(t61_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13001 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_pre_topc(k6_tex_4(A,B),k7_tex_4(A,B)))))) # label(t84_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13002 (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,u1_struct_0(A)) -> (-((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & r1_xboole_0(D,k4_tex_4(A,C)) & r1_tarski(k4_tex_4(A,B),D)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & r1_xboole_0(D,k4_tex_4(A,B)) & r1_tarski(k4_tex_4(A,C),D))))) <-> r1_subset_1(k4_tex_4(A,B),k4_tex_4(A,C))))))))) # label(t56_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13003 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> g1_pre_topc(u1_struct_0(k5_tex_4(A,B)),u1_pre_topc(k5_tex_4(A,B))) = g1_pre_topc(u1_struct_0(k7_tex_4(A,k1_struct_0(A,B))),u1_pre_topc(k7_tex_4(A,k1_struct_0(A,B)))))))) # label(t85_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13004 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tex_4(k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B)),A))))) # label(t15_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13005 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tex_4(k1_struct_0(A,B),A))))) # label(t8_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13006 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v1_tex_4(C,A)))) <-> v2_tex_4(B,A)))))) # label(d5_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13007 (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))) -> k3_tarski(a_2_2_tex_4(A,B)) = k1_tops_1(A,B))))) # label(t4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13008 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k6_pre_topc(A,k1_struct_0(A,B)) = k1_struct_0(A,B) -> v4_tex_4(k1_tex_2(A,B),A)))))) # label(t80_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13009 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (a_2_8_tex_4(A,B) != k1_xboole_0 -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_8_tex_4(A,B)))))))) # label(t43_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13010 (all A all B (v2_pre_topc(A) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & -v3_struct_0(A) -> v4_pre_topc(k6_pre_topc(A,B),A) & -v1_tex_2(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k6_pre_topc(A,B)))) # label(fc3_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13011 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(C,A) & C = u1_struct_0(B) -> v2_tdlat_3(B))))))))) # label(t69_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13012 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v3_pre_topc(D,B) & r2_hidden(C,D) & A = D)) <-> r2_hidden(A,a_2_5_tex_4(B,C))))) # label(fraenkel_a_2_5_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13013 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & r1_tarski(C,B) -> r1_tarski(k3_tex_4(A,C),B)))))))) # label(t40_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13014 (all A all B (-v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k7_tex_4(A,B)) & -v2_tex_2(k7_tex_4(A,B),A) & v1_pre_topc(k7_tex_4(A,B)))) # label(fc21_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13015 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C)))))))) # label(t38_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13016 (all 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,u1_struct_0(A)) -> r1_subset_1(u1_struct_0(k5_tex_4(A,B)),u1_struct_0(k5_tex_4(A,C))) | g1_pre_topc(u1_struct_0(k5_tex_4(A,B)),u1_pre_topc(k5_tex_4(A,B))) = g1_pre_topc(u1_struct_0(k5_tex_4(A,C)),u1_pre_topc(k5_tex_4(A,C))))))))) # label(t77_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13017 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r1_tarski(k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t33_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13018 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_4(B,A) <-> v2_tdlat_3(B) & (all C (m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) & v2_tdlat_3(C) -> u1_struct_0(C) = u1_struct_0(B))))))))) # label(d16_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.14 13019 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v3_struct_0(B) -> (r2_hidden(A,a_2_7_tex_4(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(C,D) & v3_pre_topc(D,B) & D = A))))) # label(fraenkel_a_2_7_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13020 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v2_tdlat_3(B) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) -> r1_tsep_1(A,B,C) | m1_pre_topc(B,C))))))) # label(t73_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13021 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k1_struct_0(A,B),k2_tex_4(A,B)))))) # label(t20_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13022 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_4(B,A) <-> (exists C (k2_tex_4(A,C) = B & r2_hidden(C,B) & m1_subset_1(C,u1_struct_0(A))))))))) # label(d9_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13023 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_tex_4(A,k1_struct_0(A,B)) = k2_tex_4(A,B))))) # label(t30_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13024 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) -> k2_tex_4(A,B) = k4_tex_4(A,B))) # label(redefinition_k4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13025 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v3_pre_topc(k1_tops_1(A,B),A) & -v1_tex_2(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k1_tops_1(A,B)))) # label(fc5_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13026 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_realset2(A) -> (exists B (v1_pre_topc(B) & -v2_tex_2(B,A) & m1_pre_topc(B,A))))) # label(rc2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13027 (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,u1_struct_0(A)) -> (r1_tarski(k1_setfam_1(a_2_9_tex_4(A,C)),k1_setfam_1(a_2_9_tex_4(A,B))) <-> r1_tarski(k6_pre_topc(A,k1_struct_0(A,B)),k6_pre_topc(A,k1_struct_0(A,C)))))))))) # label(t53_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13028 (all A all B (v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_tex_2(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(k1_tops_1(A,B),A))) # label(fc6_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13029 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_pre_topc(A) -> v4_pre_topc(k6_pre_topc(A,B),A) & -v1_xboole_0(k6_pre_topc(A,B)))) # label(fc1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13030 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> ((all C (m1_pre_topc(C,A) & v1_tsep_1(C,A) -> r1_tsep_1(A,B,C) | m1_pre_topc(B,C))) -> v2_tdlat_3(B)))))) # label(t70_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13031 (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 = k6_tex_4(A,B) <-> B = u1_struct_0(C)))))))) # label(d18_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13032 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_pre_topc(C) & m1_pre_topc(C,A) -> (k5_tex_4(A,B) = C <-> k2_tex_4(A,B) = u1_struct_0(C)))))))) # label(d17_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13033 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m1_pre_topc(k1_tex_2(A,B),k5_tex_4(A,B)))))) # label(t75_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13034 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_tex_4(A,B) = k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B)))))) # label(d8_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13035 (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,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> k6_pre_topc(A,k1_struct_0(A,D)) = k6_pre_topc(A,k1_struct_0(A,C))))))) <-> v1_tex_4(B,A)))))) # label(d14_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13036 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_tex_4(A,B)))))))) # label(t81_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13037 (all A all B all C (m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_tex_4(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D = A & r2_hidden(C,D) & v4_pre_topc(D,B)))))) # label(fraenkel_a_2_1_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13038 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v4_tex_4(B,A) & v2_tdlat_3(B) -> v2_pre_topc(B) & v2_tex_2(B,A) & -v1_tsep_1(B,A) & -v3_struct_0(B)))))) # label(cc5_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13039 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_tex_4(A,C) = k3_tex_4(A,B) <-> r1_tarski(B,k3_tex_4(A,C)) & r1_tarski(C,k3_tex_4(A,B))))))))) # label(t37_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13040 (all A all B all C (v2_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(C,D) & v3_pre_topc(D,B))) <-> r2_hidden(A,a_2_10_tex_4(B,C))))) # label(fraenkel_a_2_10_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13041 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13042 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_realset1(B) & l1_pre_topc(A) & -v3_realset2(A) & -v3_struct_0(A) -> -v3_struct_0(k6_tex_4(A,B)) & v1_pre_topc(k6_tex_4(A,B)) & -v3_realset2(k6_tex_4(A,B)))) # label(fc17_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13043 (all A (-v3_struct_0(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))) -> (v2_tdlat_3(B) & u1_struct_0(B) = C -> v1_tex_4(C,A)))))))) # label(t68_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13044 (all A (-v3_struct_0(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) & v3_pre_topc(B,A) -> r1_tarski(k2_tex_4(A,C),B)))))))) # label(t26_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13045 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,k3_tex_4(A,C)) -> r1_tarski(k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t36_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13046 (all A all B (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_realset1(B) & -v1_xboole_0(B) -> -v1_xboole_0(k3_tex_4(A,B)) & -v1_realset1(k3_tex_4(A,B)))) # label(fc13_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13047 (all A all B (-v3_realset2(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_realset1(B) & -v1_xboole_0(B) & v2_pre_topc(A) & -v3_struct_0(A) -> v4_pre_topc(k6_pre_topc(A,B),A) & -v1_realset1(k6_pre_topc(A,B)) & -v1_xboole_0(k6_pre_topc(A,B)))) # label(fc4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13048 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tdlat_3(B) -> -v4_tex_4(B,A)))))) # label(cc2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13049 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,C)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,B)))) <-> g1_pre_topc(u1_struct_0(k7_tex_4(A,C)),u1_pre_topc(k7_tex_4(A,C))) = g1_pre_topc(u1_struct_0(k7_tex_4(A,B)),u1_pre_topc(k7_tex_4(A,B)))))))))) # label(t89_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13050 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_xboole_0 != a_2_5_tex_4(A,B) -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_5_tex_4(A,B)))))))) # label(t28_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13051 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(-r1_xboole_0(B,C) & -r1_tarski(B,C) & v4_pre_topc(C,A))))))))) # label(d4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13052 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v1_xboole_0(k6_pre_topc(A,B)) & v2_tops_1(k6_pre_topc(A,B),A) & v3_tops_1(k6_pre_topc(A,B),A) & v1_membered(k6_pre_topc(A,B)) & v3_membered(k6_pre_topc(A,B)) & v5_membered(k6_pre_topc(A,B)) & v4_membered(k6_pre_topc(A,B)) & v2_membered(k6_pre_topc(A,B)) & v1_tex_2(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(k6_pre_topc(A,B),A) & v3_pre_topc(k6_pre_topc(A,B),A))) # label(fc2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13053 (all A (-v3_struct_0(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) & v1_tex_4(B,A) -> r1_tarski(B,k2_tex_4(A,C))))))))) # label(t21_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13054 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_borsuk_1(B,A) & -v4_tex_4(B,A) -> -v3_realset2(B) & v2_pre_topc(B) & -v4_tex_4(B,A) & -v2_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc7_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13055 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_borsuk_1(B,A) & v2_tdlat_3(B) -> v3_tdlat_3(B) & v4_tex_4(B,A) & v2_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc6_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13056 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v3_tex_4(k2_tex_4(A,B),A))))) # label(t22_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13057 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,C)))) -> m1_pre_topc(k7_tex_4(A,B),k7_tex_4(A,C))))))))) # label(t88_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13058 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) | v4_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t66_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13059 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,B) = k3_tarski(a_2_6_tex_4(A,B)))))) # label(d11_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13060 (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,u1_struct_0(A)) -> (r1_tarski(k4_tex_4(A,C),k1_setfam_1(a_2_9_tex_4(A,B))) <-> r1_tarski(k6_pre_topc(A,k1_struct_0(A,B)),k6_pre_topc(A,k1_struct_0(A,C)))))))))) # label(t54_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13061 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v4_tex_4(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> v2_pre_topc(B) & -v2_tdlat_3(B) & -v4_tex_4(B,A) & -v3_realset2(B) & -v3_struct_0(B)))))) # label(cc4_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13062 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & r1_tarski(D,C) & v3_pre_topc(D,B))) <-> r2_hidden(A,a_2_2_tex_4(B,C))))) # label(fraenkel_a_2_2_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13063 (all A (-v3_struct_0(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(k3_tex_4(A,C),B)))))))) # label(t42_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13064 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_1_tex_4(A,B))))))) # label(t49_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13065 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,B)))))))) # label(t83_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13066 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_subset_1(C,u1_struct_0(k5_tex_4(A,B))) <-> g1_pre_topc(u1_struct_0(k5_tex_4(A,C)),u1_pre_topc(k5_tex_4(A,C))) = g1_pre_topc(u1_struct_0(k5_tex_4(A,B)),u1_pre_topc(k5_tex_4(A,B)))))))))) # label(t76_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13067 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_tex_4(A,C) = k3_tex_4(A,B) -> k6_pre_topc(A,C) = k6_pre_topc(A,B)))))))) # label(t65_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13068 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v3_struct_0(A) -> -v1_xboole_0(k3_tex_4(A,B)))) # label(fc10_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13069 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_4(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & v1_tex_4(C,A) -> C = B))) & v1_tex_4(B,A)))))) # label(d7_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13070 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> a_2_3_tex_4(A,B) = k1_tex_4(A,B))))) # label(d6_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13071 (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))) -> (v3_pre_topc(B,A) | v3_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t67_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13072 (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_xboole_0(B,C) & -r1_tarski(B,C) & v3_pre_topc(C,A)))) <-> v1_tex_4(B,A)))))) # label(d3_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13073 $T # label(t5_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13074 (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))) -> (v3_pre_topc(B,A) -> k3_tex_4(A,B) = B))))) # label(t58_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13075 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 != a_2_7_tex_4(A,B) -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_7_tex_4(A,B)))))))) # label(t41_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13076 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) -> -v3_tex_4(B,A))))) # label(t17_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13077 (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(k2_tex_4(A,B),k6_pre_topc(A,k1_struct_0(A,B))))))) # label(t50_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13078 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> v1_pre_topc(k5_tex_4(A,B)) & v2_tdlat_3(k5_tex_4(A,B)) & v3_tdlat_3(k5_tex_4(A,B)) & v4_tex_4(k5_tex_4(A,B),A) & v2_pre_topc(k5_tex_4(A,B)) & -v3_struct_0(k5_tex_4(A,B)))) # label(fc15_tex_4) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13079 (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_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r1_tarski(k6_pre_topc(A,k1_struct_0(A,D)),k6_pre_topc(A,k1_struct_0(A,C))) & r2_hidden(C,k6_pre_topc(A,k1_struct_0(A,D))) & D != C & r2_hidden(D,B) & r2_hidden(C,B))))))))))) # label(d12_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13080 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) & v1_tsp_1(C,A) -> -v4_pre_topc(B,A) & -v4_pre_topc(C,A) | v1_tsp_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t10_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13081 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_t_0topsp(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v2_t_0topsp(B)))))) # label(cc11_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13082 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v2_tdlat_3(A) & v2_t_0topsp(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v3_realset2(A) & v2_pre_topc(A) & v4_tdlat_3(A) & v5_tdlat_3(A) & v2_t_0topsp(A) & v3_tdlat_3(A) & v2_tdlat_3(A) & v1_tdlat_3(A)))) # label(cc6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13083 (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,u1_struct_0(A)) -> -(r2_hidden(B,k6_pre_topc(A,k1_struct_0(A,C))) & r2_hidden(C,k6_pre_topc(A,k1_struct_0(A,B))) & B != C))))) <-> v2_t_0topsp(A)))) # label(d6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13084 $T # label(t1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13085 (exists A (-v3_struct_0(A) & -v2_tdlat_3(A) & v2_t_0topsp(A) & v2_pre_topc(A) & v1_pre_topc(A) & -v3_realset2(A) & l1_pre_topc(A))) # label(rc3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13086 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & -v2_t_0topsp(A) & -v3_struct_0(A) -> v2_pre_topc(A) & -v1_tdlat_3(A) & -v3_realset2(A) & -v3_struct_0(A)))) # label(cc4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13087 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tsp_1(k1_struct_0(A,B),A))))) # label(t14_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13088 (all A (l1_pre_topc(A) -> (v2_t_0topsp(A) <-> 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(C,D) & -r2_hidden(B,D) & v3_pre_topc(D,A)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r2_hidden(B,D) & -r2_hidden(C,D)))) & C != B)))))))) # label(d3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13089 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) -> v1_tsp_1(B,A)))))) # label(t11_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13090 (all A (l1_pre_topc(A) -> (exists B m1_tsp_1(B,A)))) # label(existence_m1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13091 (all A all B (m1_pre_topc(B,A) & l1_pre_topc(A) -> (v3_tsp_1(B,A) <-> v2_t_0topsp(B)))) # label(redefinition_v3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13092 (exists A (-v3_struct_0(A) & v2_pre_topc(A) & v2_t_0topsp(A) & v1_pre_topc(A) & l1_pre_topc(A))) # label(rc1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13093 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & -v3_realset2(A) & v1_pre_topc(A) & v2_pre_topc(A) & -v1_tdlat_3(A) & -v2_t_0topsp(A))) # label(rc4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13094 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (m2_tsp_1(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))) & v4_pre_topc(D,A) & C = k3_xboole_0(D,u1_struct_0(B)))) <-> v4_pre_topc(C,B)))) & r1_tarski(u1_struct_0(B),u1_struct_0(A))))))) # label(d2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13095 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,B) & r2_hidden(D,B) & C != D & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(-r2_hidden(D,E) & r2_hidden(C,E) & v3_pre_topc(E,A)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(-r2_hidden(C,E) & r2_hidden(D,E) & v3_pre_topc(E,A)))))))))))))) # label(d8_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13096 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v2_t_0topsp(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & -v2_t_0topsp(B) & v1_pre_topc(B))))) # label(rc7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13097 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) <-> m1_tsp_1(B,A))))) # label(redefinition_m1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13098 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & -v2_t_0topsp(A) -> -v3_realset2(A) & -v3_struct_0(A)))) # label(cc2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13099 (all A (l1_pre_topc(A) -> (all B (m1_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> -(v3_pre_topc(D,B) & k3_xboole_0(C,u1_struct_0(B)) = D))) & v3_pre_topc(C,A)))))))) # label(t2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13100 (all A (l1_pre_topc(A) & -v2_t_0topsp(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (v1_pre_topc(C) & m2_tsp_1(C,A) & -v2_t_0topsp(C) -> B != u1_struct_0(C))) & -v1_tsp_1(B,A)))))) # label(t21_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13101 (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,u1_struct_0(A)) -> -(r2_hidden(B,k6_pre_topc(A,k1_struct_0(A,C))) & r1_tarski(k6_pre_topc(A,k1_struct_0(A,C)),k6_pre_topc(A,k1_struct_0(A,B))) & B != C))))) <-> v2_t_0topsp(A)))) # label(d7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13102 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v3_tdlat_3(A) & -v1_tdlat_3(A) & -v3_struct_0(A) -> -v3_struct_0(A) & -v1_tdlat_3(A) & -v2_t_0topsp(A) & v2_pre_topc(A) & -v3_realset2(A)))) # label(cc9_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13103 (all A (l1_pre_topc(A) -> (v2_t_0topsp(A) & v2_pre_topc(A) & -v3_realset2(A) & -v3_struct_0(A) -> -v3_struct_0(A) & -v3_realset2(A) & v2_pre_topc(A) & -v2_tdlat_3(A)))) # label(cc7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13104 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(C != D & r2_hidden(D,k6_pre_topc(A,k1_struct_0(A,C))) & r2_hidden(C,k6_pre_topc(A,k1_struct_0(A,D))) & r2_hidden(D,B) & r2_hidden(C,B))))))))))) # label(d11_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13105 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = u1_struct_0(A) -> (v2_t_0topsp(A) <-> v1_tsp_1(B,A))))))) # label(t6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13106 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v1_tsp_1(B,A) -> v1_tsp_1(C,A)))))))) # label(t7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13107 (all 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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(D,B) & C != D & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,E) & -r2_hidden(D,E) & v4_pre_topc(E,A)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(E,A) & r2_hidden(D,E) & -r2_hidden(C,E)))) & r2_hidden(C,B)))))) <-> v1_tsp_1(B,A)))))) # label(d9_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13108 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(C,A) | v1_tsp_1(B,A) -> v1_tsp_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t8_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13109 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v2_tdlat_3(A) & -v3_realset2(A) & -v3_struct_0(A) -> -v2_t_0topsp(A) & v2_pre_topc(A) & -v3_realset2(A) & -v3_struct_0(A)))) # label(cc5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13110 (all 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,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & -r2_hidden(B,D) & r2_hidden(C,D)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,D) & -r2_hidden(C,D) & v4_pre_topc(D,A)))) & B != C))))) <-> v2_t_0topsp(A)))) # label(d4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13111 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v2_t_0topsp(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> v5_tdlat_3(A) & v2_t_0topsp(A) & v4_tdlat_3(A) & v3_tdlat_3(A) & v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A)))) # label(cc8_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13112 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_t_0topsp(B) & m2_tsp_1(B,A) -> (all C (m2_tsp_1(C,A) & v2_t_0topsp(C) & -v3_struct_0(C) -> (v1_tsep_1(B,A) | v1_tsep_1(C,A) -> v2_t_0topsp(k1_tsep_1(A,B,C))))))))) # label(t18_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13113 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> -(v4_pre_topc(D,B) & k3_xboole_0(C,u1_struct_0(B)) = D)))))))))) # label(t4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13114 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & v2_pre_topc(A) & -v2_t_0topsp(A) & v1_pre_topc(A) & -v3_realset2(A))) # label(rc2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13115 (all A (l1_pre_topc(A) -> (all B (m1_tsp_1(B,A) -> l1_pre_topc(B))))) # label(dt_m1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13116 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -(v1_tex_4(B,A) & v1_tsp_1(B,A) & -v1_realset1(B)))))) # label(t12_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13117 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v2_t_0topsp(B) <-> v1_tsp_1(C,A))))))))) # label(t15_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13118 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(m1_subset_1(D,u1_struct_0(B)) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(-r2_hidden(C,E) & r2_hidden(D,E) & v3_pre_topc(E,A)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r2_hidden(C,E) & -r2_hidden(D,E)))) & D != C & m1_subset_1(C,u1_struct_0(B))))))) | v3_struct_0(B) <-> v2_t_0topsp(B)))))) # label(d13_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13119 (all 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))) -> (v1_tsp_1(C,A) & D = C & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> v1_tsp_1(D,B)))))))))) # label(t5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13120 (all A (l1_pre_topc(A) -> (v3_realset2(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v2_t_0topsp(A)))) # label(cc1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13121 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v2_t_0topsp(A) & -v1_tdlat_3(A) & -v3_struct_0(A) -> -v3_struct_0(A) & -v3_realset2(A) & -v1_tdlat_3(A) & -v3_tdlat_3(A) & -v2_tdlat_3(A) & v2_pre_topc(A)))) # label(cc10_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13122 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> l1_pre_topc(B))))) # label(dt_m2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13123 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v2_t_0topsp(A) & v2_pre_topc(A)))) # label(cc3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13124 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(C,B) <-> (exists D (v3_pre_topc(D,A) & k3_xboole_0(D,u1_struct_0(B)) = C & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m1_tsp_1(B,A)))))) # label(d1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13125 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v2_t_0topsp(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_t_0topsp(B) & -v3_struct_0(B) -> v2_tex_2(B,A) & -v3_struct_0(B)))))) # label(cc13_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13126 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_t_0topsp(B) & m2_tsp_1(B,A) -> (all C (v2_t_0topsp(C) & m2_tsp_1(C,A) & -v3_struct_0(C) -> (v1_borsuk_1(B,A) | v1_borsuk_1(C,A) -> v2_t_0topsp(k1_tsep_1(A,B,C))))))))) # label(t19_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13127 $T # label(t3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13128 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m2_tsp_1(C,A) & v2_t_0topsp(C) & -v3_struct_0(C) -> (m2_tsp_1(B,C) -> v2_t_0topsp(B)))))))) # label(t16_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13129 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_t_0topsp(B) & -v3_struct_0(B) -> (all C (m2_tsp_1(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> v2_t_0topsp(k2_tsep_1(A,B,C))))))))) # label(t17_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13130 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_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) & k6_pre_topc(A,k1_struct_0(A,D)) = k6_pre_topc(A,k1_struct_0(A,C)) & C != D & r2_hidden(C,B))))))))))) # label(d10_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13131 (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,u1_struct_0(A)) -> -(C != B & k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,B))))))) <-> v2_t_0topsp(A)))) # label(d5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13132 (all A all B (m1_pre_topc(B,A) & l1_pre_topc(A) -> (v2_t_0topsp(B) <-> v2_tsp_1(B,A)))) # label(redefinition_v2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13133 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) <-> m1_pre_topc(B,A))))) # label(redefinition_m2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13134 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_realset2(A) -> (exists B (v2_tex_2(B,A) & v2_t_0topsp(B) & v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13135 (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) -> -(v1_tsp_1(B,A) & (all C (m2_tsp_1(C,A) & v2_t_0topsp(C) & v1_pre_topc(C) & -v3_struct_0(C) -> u1_struct_0(C) != B))))))) # label(t20_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13136 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_t_0topsp(B) & -v3_struct_0(B))))) # label(rc5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13137 (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))) -> v1_tsp_1(B,A))))) # label(t13_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13138 (all A (-v3_struct_0(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_tsp_1(B,A) & v1_tsp_1(C,A) -> -v3_pre_topc(B,A) & -v3_pre_topc(C,A) | v1_tsp_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t9_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13139 (all A (l1_pre_topc(A) & -v2_t_0topsp(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) & -v3_struct_0(B) -> -v3_realset2(B) & -v2_t_0topsp(B) & -v3_struct_0(B)))))) # label(cc12_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13140 (all A (l1_pre_topc(A) -> (all B (m2_tsp_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,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(E,A) & r2_hidden(C,E) & -r2_hidden(D,E)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(E,A) & -r2_hidden(C,E) & r2_hidden(D,E)))) & C != D & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(B))))))) <-> v2_t_0topsp(B)))))) # label(d14_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13141 (all A (l1_pre_topc(A) -> (exists B m2_tsp_1(B,A)))) # label(existence_m2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13142 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & v1_tsp_1(C,A) -> B = C))) <-> v1_tsp_2(B,A)))))) # label(d4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13143 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & v2_tex_2(B,A) -> v2_pre_topc(B) & -v2_tsp_2(B,A)))))) # label(cc6_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13144 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tex_3(B,A) -> -v2_tsp_2(B,A) & v2_pre_topc(B)))))) # label(cc4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13145 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> k5_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)))) & D = u1_struct_0(B) -> v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_1(C)))))))))) # label(t18_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.15 13146 (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))) -> (v1_tsp_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r2_hidden(D,B) & k5_subset_1(u1_struct_0(A),B,k4_tex_4(A,C)) = k1_struct_0(A,D) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(d6_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13147 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> k1_tsp_2(A,B) = k3_tsp_2(A,B))) # label(redefinition_k3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13148 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_pre_topc(A,B,k3_tsp_2(A,B),k1_struct_0(A,C)) = k4_pre_topc(A,B,k3_tsp_2(A,B),k4_tex_4(A,C)))))))) # label(t28_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13149 (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))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = C)))))))) # label(t6_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13150 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,C) & v1_tsp_2(C,A)))) & v1_tsp_1(B,A)))))) # label(t9_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13151 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r1_subset_1(k4_tex_4(A,C),k4_tex_4(A,D)) | D = C))))) <-> v1_tsp_1(B,A)))))) # label(d1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13152 (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))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tex_4(D,A) & k5_subset_1(u1_struct_0(A),B,D) = k1_struct_0(A,C)))))))))))) # label(d3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13153 (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)) -> (r2_hidden(C,B) -> k5_subset_1(u1_struct_0(A),B,k4_tex_4(A,C)) = k1_struct_0(A,C)))) <-> v1_tsp_1(B,A)))))) # label(d2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13154 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_pre_topc(A,B,k3_tsp_2(A,B),k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),k3_tsp_2(A,B),C))) = k4_tex_4(A,C))))))) # label(t27_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13155 (all A all B (l1_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_funct_2(k4_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(k4_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k4_tsp_2(A,B),A,B) & v1_funct_1(k4_tsp_2(A,B)))) # label(dt_k4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13156 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_tex_3(B,A) & v2_tsp_2(B,A) & v2_t_0topsp(B) & v2_pre_topc(B) & v1_pre_topc(B))))) # label(rc1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13157 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & v2_pre_topc(A) -> k4_tsp_2(A,B) = k1_tsp_2(A,B))) # label(redefinition_k4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13158 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> k4_tex_4(A,C) = k5_pre_topc(A,B,k1_tsp_2(A,B),k1_struct_0(B,D))))))))))) # label(t25_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13159 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) | v3_pre_topc(D,A) -> k4_pre_topc(A,B,k4_tsp_2(A,B),k5_subset_1(u1_struct_0(A),C,D)) = k5_subset_1(u1_struct_0(B),k4_pre_topc(A,B,k4_tsp_2(A,B),C),k4_pre_topc(A,B,k4_tsp_2(A,B),D))))))))))) # label(t32_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13160 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) | v4_pre_topc(D,A) -> k5_subset_1(u1_struct_0(B),k4_pre_topc(A,B,k4_tsp_2(A,B),C),k4_pre_topc(A,B,k4_tsp_2(A,B),D)) = k4_pre_topc(A,B,k4_tsp_2(A,B),k5_subset_1(u1_struct_0(A),C,D))))))))))) # label(t33_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13161 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (v4_pre_topc(D,B) & D = k3_xboole_0(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) & C = k3_tex_4(A,C) <-> v4_pre_topc(C,A)))))))) # label(t17_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13162 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_tsp_2(B,A))))) # label(t4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13163 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & l1_pre_topc(A) -> m2_relset_1(k3_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k3_tsp_2(A,B),A,B) & v1_funct_2(k3_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k3_tsp_2(A,B)))) # label(dt_k3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13164 (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))) & -v1_xboole_0(B) -> -((all C (-v3_struct_0(C) & m2_tsp_1(C,A) & v1_pre_topc(C) -> -(v2_tsp_2(C,A) & B = u1_struct_0(C)))) & v1_tsp_2(B,A)))))) # label(t12_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13165 (all A all B (v2_pre_topc(A) & -v3_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & l1_pre_topc(A) & -v3_struct_0(A) -> m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_tsp_2(A,B),A,B) & v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k1_tsp_2(A,B)))) # label(dt_k1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13166 (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))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,C) = k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C)))))))))) # label(t8_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13167 (all 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))) -> (v1_tsp_2(C,A) & D = C & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> v1_tsp_2(D,B)))))))))) # label(t1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13168 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> k5_pre_topc(A,B,k1_tsp_2(A,B),D) = k3_tex_4(A,C)))))))))) # label(t26_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13169 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> v4_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B)))))))) # label(t35_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13170 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & v2_tsp_2(B,A) -> -v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc8_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13171 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) & v2_tsp_2(B,A) -> -v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc7_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13172 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & l1_pre_topc(A) -> m2_relset_1(k2_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k2_tsp_2(A,B),A,B) & v1_funct_2(k2_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k2_tsp_2(A,B)))) # label(dt_k2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13173 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & -v3_struct_0(A) -> k2_tsp_2(A,B) = k1_tsp_2(A,B))) # label(redefinition_k2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13174 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_t_0topsp(B) & -v3_struct_0(B) -> -v3_struct_0(B) & -v2_tsp_2(B,A)))))) # label(cc2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13175 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) & v2_tsp_2(B,A) -> v2_pre_topc(B) & -v1_borsuk_1(B,A)))))) # label(cc10_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13176 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) = k6_pre_topc(A,C)))))))) # label(t7_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13177 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) -> v2_pre_topc(B) & v1_tex_3(B,A)))))) # label(cc3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13178 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_t_0topsp(B) & m2_tsp_1(B,A) -> (exists C (m2_tsp_1(B,C) & v2_tsp_2(C,A) & m2_tsp_1(C,A) & v1_pre_topc(C))))))) # label(t13_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13179 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v1_tsp_2(C,A) <-> v2_tsp_2(B,A))))))))) # label(t11_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13180 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) & u1_struct_0(A) = k3_tex_4(A,B) <-> v1_tsp_2(B,A)))))) # label(d5_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13181 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) & -v3_struct_0(B) -> v2_t_0topsp(B) & -v3_struct_0(B)))))) # label(cc1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13182 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> v3_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B)))))))) # label(t34_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13183 (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))) -> -((v3_pre_topc(B,A) | v4_pre_topc(B,A)) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tsp_2(B,A)))))) # label(t3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13184 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_tex_4(A,C) = C & (exists D (k3_xboole_0(C,u1_struct_0(B)) = D & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> v3_pre_topc(C,A)))))))) # label(t15_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13185 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (C = k4_tsp_2(A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = D -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> k4_pre_topc(A,B,C,E) = k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E)))))))))))))) # label(d12_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13186 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -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)) & v5_pre_topc(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = D & (all E (m1_subset_1(E,u1_struct_0(A)) -> k5_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)))) -> v3_borsuk_1(C,A,B)))))))))) # label(t20_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13187 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> r1_borsuk_1(A,B))))) # label(t23_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13188 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)))) -> v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))))))))) # label(t19_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13189 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_pre_topc(A,B,k4_tsp_2(A,B),k3_tex_4(A,C)) = k4_pre_topc(A,B,k4_tsp_2(A,B),C))))))) # label(t30_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13190 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) & v1_tsep_1(B,A) -> v2_pre_topc(B) & -v2_tex_2(B,A)))))) # label(cc5_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13191 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B))))))) # label(t22_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13192 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v1_tsp_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(t10_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13193 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & -v3_struct_0(B) -> (v2_tsp_2(B,A) <-> v2_t_0topsp(B) & (all C (v2_t_0topsp(C) & m2_tsp_1(C,A) & -v3_struct_0(C) -> (m2_tsp_1(B,C) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)))))))))) # label(d8_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13194 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & v2_tex_2(B,A) -> v2_pre_topc(B) & -v2_tsp_2(B,A)))))) # label(cc9_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13195 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v4_pre_topc(D,B) <-> v4_pre_topc(k3_tex_4(A,C),A) & k3_xboole_0(k3_tex_4(A,C),u1_struct_0(B)) = D)))))))))) # label(t16_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13196 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> v1_tops_1(B,A)))))) # label(t2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13197 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v3_pre_topc(D,B) <-> k3_xboole_0(k3_tex_4(A,C),u1_struct_0(B)) = D & v3_pre_topc(k3_tex_4(A,C),A))))))))))) # label(t14_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13198 (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))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = C)))))))) # label(t5_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13199 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v1_tsp_2(C,A)))) <-> v2_tsp_2(B,A)))))) # label(d7_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13200 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (C = k2_tsp_2(A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (D = u1_struct_0(B) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k5_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)))))))))))))) # label(d10_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13201 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_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)) -> (D = C -> k6_pre_topc(A,k1_struct_0(A,C)) = k5_pre_topc(A,B,k1_tsp_2(A,B),k6_pre_topc(B,k1_struct_0(B,D)))))))))))) # label(t24_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13202 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(B),k4_pre_topc(A,B,k4_tsp_2(A,B),C),k4_pre_topc(A,B,k4_tsp_2(A,B),D)) = k4_pre_topc(A,B,k4_tsp_2(A,B),k4_subset_1(u1_struct_0(A),C,D)))))))))) # label(t31_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13203 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)))) <-> C = k3_tsp_2(A,B)))))))) # label(d11_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13204 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,C) = k5_pre_topc(A,B,k4_tsp_2(A,B),k4_pre_topc(A,B,k4_tsp_2(A,B),C)))))))) # label(t29_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13205 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)))) -> v3_borsuk_1(C,A,B)))))))) # label(t21_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13206 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -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)) & v5_pre_topc(C,A,B) -> (v3_borsuk_1(C,A,B) <-> C = k1_tsp_2(A,B)))))))) # label(d9_tsp_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13207 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)) = a_3_1_filter_2(A,B,C))))))) # label(t50_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13208 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k21_filter_2(A,B,C)))))))) # label(t56_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13209 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13210 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13211 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_lattices(k23_filter_2(A,k18_filter_2(A,B))) = B)))) # label(t81_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13212 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) & v10_lattices(A) -> m2_filter_2(k14_filter_2(A,B),A))) # label(dt_k14_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13213 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & l3_lattices(A) -> m1_subset_1(k8_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13214 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_filter_2(u1_struct_0(A),k22_filter_2(A,B,B),k6_domain_1(u1_struct_0(A),B)))))) # label(t65_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13215 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice2(A))) -> k6_filter_2(A,k5_filter_2(A,B)) = B & k5_filter_2(A,k6_filter_2(A,C)) = C)))))) # label(t18_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13216 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v10_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)) <-> -v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v16_lattices(A) & v15_lattices(A)))) # label(t53_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13217 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) -> (k1_realset1(D,B) = F & k1_realset1(C,B) = E -> (r5_binop_1(A,C,D) -> r5_binop_1(B,E,F)) & (r4_binop_1(A,C,D) -> r4_binop_1(B,E,F))))))))))))))) # label(t3_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13218 (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(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> k3_lattices(k1_lattice2(A),k5_filter_2(A,B),k5_filter_2(A,C)) = k4_lattices(A,B,C) & k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,k6_filter_2(A,D),k6_filter_2(A,E)) & k4_lattices(A,k6_filter_2(A,D),k6_filter_2(A,E)) = k3_lattices(k1_lattice2(A),D,E) & k3_lattices(A,B,C) = k4_lattices(k1_lattice2(A),k5_filter_2(A,B),k5_filter_2(A,C)))))))))))) # label(t19_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13219 (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,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r2_hidden(B,C) -> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C))))))))) # label(t40_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13220 (all A all B (v10_lattices(A) & m2_lattice4(B,k1_lattice2(A)) & l3_lattices(A) & -v3_struct_0(A) -> k11_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k11_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13221 (all A all B (v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13222 $T # label(d2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13223 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m2_lattice4(B,A) & v10_lattices(A) -> m2_lattice4(k9_filter_2(A,B),k1_lattice2(A)))) # label(dt_k9_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13224 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (exists C (r2_hidden(C,B) & m1_subset_1(C,u1_struct_0(A)))))))) # label(t24_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13225 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_filter_2(C,A) -> m1_filter_2(C,B)))))))) # label(t16_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13226 (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) -> k22_filter_2(A,B,C) = a_3_2_filter_2(A,B,C)))))))) # label(d14_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13227 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v13_lattices(A) -> v15_lattices(k23_filter_2(A,k18_filter_2(A,B)))))))) # label(t83_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13228 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_filter_2(C,A) -> (all D (m1_filter_2(D,B) -> (C = D & g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k8_filter_0(A,C) = k8_filter_0(B,D)))))))))) # label(t68_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13229 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,k1_lattice2(A)) <-> m2_filter_2(B,A))))) # label(t21_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13230 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> v1_funct_2(k1_realset1(u2_lattices(A),B),k2_zfmisc_1(B,B),B) & m2_relset_1(k1_realset1(u2_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_1(k1_realset1(u1_lattices(A),B)) & m2_relset_1(k1_realset1(u1_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_2(k1_realset1(u1_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_1(k1_realset1(u2_lattices(A),B)))))) # label(t61_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13231 (all A all B all C all D (m2_filter_2(D,B) & m2_filter_2(C,B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (r3_lattices(B,E,k3_lattices(B,F,G)) & r2_hidden(G,D) & r2_hidden(F,C) & m1_subset_1(G,u1_struct_0(B)))))) & E = A)) <-> r2_hidden(A,a_3_1_filter_2(B,C,D))))) # label(fraenkel_a_3_1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13232 (all A all B (v10_lattices(A) & m1_filter_0(B,k1_lattice2(A)) & l3_lattices(A) & -v3_struct_0(A) -> k14_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k14_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13233 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k20_filter_2(A,B,C)))) # label(fc3_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13234 (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))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13235 (all A all B (-v3_struct_0(A) & m2_lattice4(B,A) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) -> k7_filter_2(A,B) = k10_filter_2(A,B))) # label(redefinition_k10_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13236 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k4_subset_1(u1_struct_0(A),k19_filter_2(A,B),C))) & r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,k19_filter_2(A,C)))))))))) # label(t49_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13237 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D))) & r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)))))))))) # label(t39_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13238 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13239 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v10_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)) <-> l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A)))) # label(t54_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13240 (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)) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & r3_lattices(A,B,C) & v17_lattices(A) -> v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v17_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t87_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13241 (all A all B (v10_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13242 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) -> m2_filter_2(k13_filter_2(A,B),k1_lattice2(A)))) # label(dt_k13_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13243 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v10_lattices(A) -> m1_filter_2(k3_filter_2(A,B),A))) # label(dt_k3_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13244 (all A all B all C (v11_lattices(A) & m2_filter_2(C,A) & m2_filter_2(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k21_filter_2(A,B,C),A))) # label(dt_k21_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13245 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (v13_lattices(A) -> v13_lattices(k23_filter_2(A,B))))))) # label(t76_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13246 (all A all B (v10_lattices(A) & m2_lattice4(B,k1_lattice2(A)) & -v1_xboole_0(B) & l3_lattices(A) & -v3_struct_0(A) -> k8_filter_2(A,B) = k12_filter_2(A,B))) # label(redefinition_k12_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13247 (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))) -> (v14_lattices(A) & r2_hidden(k6_lattices(A),B) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A)) & u1_struct_0(A) = k19_filter_2(A,B)))))) # label(t42_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13248 (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)) -> (v3_filter_0(A) & r3_lattices(A,B,C) -> v3_filter_0(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t79_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13249 (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 (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(C,B) & r2_hidden(D,B)))))) -> m2_filter_2(B,A)))))) # label(t15_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13250 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) <-> r2_hidden(k3_lattices(A,C,D),B)))))) -> m2_lattice4(B,A)))))) # label(t14_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13251 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v13_lattices(A) -> r1_filter_2(u1_struct_0(A),k18_filter_2(A,B),k22_filter_2(A,k5_lattices(A),B))))))) # label(t67_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13252 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v10_lattices(A) & l3_lattices(A) & v12_lattices(A) & r3_lattices(A,B,C) & v16_lattices(A) & v15_lattices(A) & -v3_struct_0(A) -> v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t86_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13253 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13254 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v14_lattices(k23_filter_2(A,k18_filter_2(A,B))))))) # label(t80_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13255 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k1_filter_2(A),A))) # label(dt_k1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13256 (all A (l3_lattices(A) -> (all B (l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> k1_lattice2(B) = k1_lattice2(A)))))) # label(t6_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.16 13257 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) | r2_hidden(C,B) <-> r2_hidden(k4_lattices(A,C,D),B)))))) <-> v1_filter_2(B,A)))))) # label(d12_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13258 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> ((exists C (-v1_xboole_0(C) & m2_lattice4(C,A) & (exists D ((exists E (m2_relset_1(E,k2_zfmisc_1(C,C),C) & k1_realset1(u2_lattices(A),C) = D & E = k1_realset1(u1_lattices(A),C) & g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(C,D,E) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & v1_funct_1(E))) & m2_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & v1_funct_1(D))))) <-> m2_nat_lat(B,A)))))) # label(d15_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13259 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k23_filter_2(A,k1_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) & k23_filter_2(A,k17_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t72_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13260 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B))))) # label(t38_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13261 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> B != u1_struct_0(A) & (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(C,B) | r2_hidden(k7_lattices(A,C),B)))))))) # label(t57_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13262 (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))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_filter_2(u1_struct_0(A),k20_filter_2(A,B,C),k20_filter_2(A,C,B)))))))) # label(t48_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13263 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r2_hidden(B,k22_filter_2(A,B,C)) & r2_hidden(C,k22_filter_2(A,B,C))))))))) # label(t64_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13264 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -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) -> (all E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (k1_realset1(C,B) = E & F = k1_realset1(D,B) & r1_lattice2(A,C,D) -> r1_lattice2(B,E,F)))))))))))))) # label(t5_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13265 (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(k1_lattice2(A))) -> k7_lattices(A,k6_filter_2(A,C)) = k7_lattices(k1_lattice2(A),C) & k7_lattices(k1_lattice2(A),k5_filter_2(A,B)) = k7_lattices(A,B))))))) # label(t55_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13266 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v14_lattices(A) & k6_lattices(A) != B & (all C (m2_filter_2(C,A) -> -(r2_hidden(B,C) & r2_filter_2(A,C))))))))) # label(t36_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13267 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13268 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(k1_lattice2(A))) -> B = k6_filter_2(A,B))))) # label(d5_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13269 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) -> (all B (m2_filter_2(B,A) -> -((all C (m2_filter_2(C,A) -> -(r1_tarski(B,C) & r2_filter_2(A,C)))) & B != u1_struct_0(A))))))) # label(t34_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13270 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) <-> r2_filter_2(A,B)))))) # label(t33_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13271 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (all C (m2_nat_lat(C,A) -> ((exists D (m2_relset_1(D,k2_zfmisc_1(B,B),B) & (exists E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & D = k1_realset1(u2_lattices(A),B) & C = g3_lattices(B,D,E) & k1_realset1(u1_lattices(A),B) = E & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E))) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D))) <-> C = k23_filter_2(A,B)))))))) # label(d16_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13272 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v13_lattices(B) & v10_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> k5_lattices(B) = k5_lattices(A)))))) # label(t9_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13273 (all A all B all C (-v3_struct_0(A) & v11_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) & v10_lattices(A) -> k4_filter_2(A,B,C) = k5_filter_0(A,B,C))) # label(redefinition_k4_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13274 (all A all B (l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) & -v3_struct_0(A) -> k13_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k13_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13275 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) -> (r6_binop_1(A,C,D) & k1_realset1(D,B) = F & E = k1_realset1(C,B) -> r6_binop_1(B,E,F)))))))))))))) # label(t4_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13276 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) <-> m1_filter_2(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13277 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_filter_2(u1_struct_0(A),A))) # label(t28_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13278 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (v13_lattices(A) -> r2_hidden(k5_lattices(A),B)))))) # label(t25_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13279 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(C) & l3_lattices(B) -> ((exists E exists F (m1_subset_1(F,u1_struct_0(B)) & k3_lattices(B,E,F) = A & r2_hidden(E,C) & r2_hidden(F,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_filter_2(B,C,D))))) # label(fraenkel_a_3_0_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13280 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> a_3_0_filter_2(A,B,C) = k20_filter_2(A,B,C))))))) # label(d13_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13281 (all A all B (l3_lattices(A) & m2_lattice4(B,k1_lattice2(A)) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k11_filter_2(A,B),A))) # label(dt_k11_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13282 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m2_filter_2(D,A) -> -(r2_filter_2(A,D) & (r2_hidden(B,D) & -r2_hidden(C,D) | -r2_hidden(B,D) & r2_hidden(C,D))))) & B != C))))))) # label(t60_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13283 (all A (-v3_struct_0(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v16_lattices(B) & l3_lattices(B) & v15_lattices(B) & v10_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_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)) -> (C = E & r2_lattices(A,C,D) & F = D -> r2_lattices(B,E,F))))))))))))))) # label(t11_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13284 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k17_filter_2(A),k18_filter_2(A,k6_lattices(A)))))) # label(t32_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13285 (all A all B (v10_lattices(A) & l3_lattices(A) & m2_lattice4(B,A) & -v3_struct_0(A) -> k9_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k9_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13286 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13287 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (v12_lattices(A) -> v12_lattices(k23_filter_2(A,B))))))) # label(t77_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13288 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k3_lattices(A,C,D),B) <-> r2_hidden(C,B) & r2_hidden(D,B)))))) <-> m2_filter_2(B,A)))))) # label(d3_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13289 (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 (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> (r2_hidden(C,E) & r2_hidden(B,D) -> r2_hidden(k3_lattices(A,C,B),k20_filter_2(A,D,E)) & r2_hidden(k3_lattices(A,B,C),k20_filter_2(A,D,E))))))))))))) # label(t46_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13290 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k8_filter_2(A,B)))) # label(fc2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13291 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> k17_filter_2(A) != B & v1_filter_2(B,A)))))) # label(t58_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13292 (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_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,D,C) & r2_hidden(C,B) -> r2_hidden(D,B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k3_lattices(A,C,D),B)))))) <-> m2_filter_2(B,A)))))) # label(t22_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13293 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) & -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,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (D = k1_realset1(u1_lattices(A),B) & k1_realset1(u2_lattices(A),B) = C -> v1_binop_1(C,B) & r1_lattice2(B,D,C) & r1_lattice2(B,C,D) & v2_binop_1(D,B) & v1_binop_1(D,B) & v2_binop_1(C,B)))))))))) # label(t62_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13294 (all A all B all C (v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v3_struct_0(A) -> m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k20_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13295 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13296 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(k4_lattices(A,C,B),k18_filter_2(A,B)) & r2_hidden(k4_lattices(A,B,C),k18_filter_2(A,B)) & r2_hidden(B,k18_filter_2(A,B)))))))) # label(t31_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13297 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m2_subset_1(F,A,B) -> (k1_realset1(C,B) = D & E = F -> (r1_binop_1(A,E,C) -> r1_binop_1(B,F,D)) & (r3_binop_1(A,E,C) -> r3_binop_1(B,F,D)) & (r2_binop_1(A,E,C) -> r2_binop_1(B,F,D))))))))))))))) # label(t2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13298 (all A all B (m2_filter_2(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13299 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (v11_lattices(A) -> v11_lattices(k23_filter_2(A,B))))))) # label(t78_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13300 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13301 (all A all B (v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m2_lattice4(B,A) & -v3_struct_0(A) -> -v3_struct_0(k23_filter_2(A,B)) & v4_lattices(k23_filter_2(A,B)) & v5_lattices(k23_filter_2(A,B)) & v6_lattices(k23_filter_2(A,B)) & v7_lattices(k23_filter_2(A,B)) & v9_lattices(k23_filter_2(A,B)) & v10_lattices(k23_filter_2(A,B)) & v8_lattices(k23_filter_2(A,B)) & v3_lattices(k23_filter_2(A,B)))) # label(fc5_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13302 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> (B = C <-> r1_filter_2(A,B,C)))) # label(redefinition_r1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13303 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_filter_2(k17_filter_2(A),A))) # label(dt_k17_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13304 (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)) -> (r3_lattices(A,B,C) -> v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & C = k6_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & k5_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) = B))))))) # label(t84_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13305 (all A all B (m2_filter_2(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k15_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13306 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & -v1_xboole_0(C) -> k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)) & k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k3_filter_2(A,B) & k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13307 (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_2(k4_filter_2(A,B,C),A))) # label(dt_k4_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13308 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_hidden(k6_lattices(A),B) & v14_lattices(A) -> B = u1_struct_0(A) & r1_filter_2(u1_struct_0(A),B,k17_filter_2(A))))))) # label(t43_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13309 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k20_filter_2(A,C,D)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(k3_lattices(A,E,F) = B & r2_hidden(E,C) & r2_hidden(F,D))))))))))))) # label(t47_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13310 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r1_filter_2(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B)) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,C),k18_filter_2(A,B))))))))) # label(t41_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13311 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_filter_2(A,B,B))) # label(reflexivity_r1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13312 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> k23_filter_2(A,B) = k24_filter_2(k1_lattice2(A),k23_filter_2(k1_lattice2(A),k10_filter_2(A,B))))))) # label(t71_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13313 (all A all B (v10_lattices(A) & l3_lattices(A) & m2_nat_lat(B,A) & -v3_struct_0(A) -> k1_lattice2(B) = k24_filter_2(A,B))) # label(redefinition_k24_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13314 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (v2_filter_0(k15_filter_2(A,B),k1_lattice2(A)) <-> v1_filter_2(B,A)))))) # label(t44_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13315 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (m2_filter_2(k6_domain_1(u1_struct_0(A),B),A) -> v13_lattices(A)))))) # label(t27_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13316 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m2_filter_2(B,k1_lattice2(A)) & v10_lattices(A) -> m1_filter_2(k16_filter_2(A,B),A))) # label(dt_k16_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13317 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> (r3_lattices(A,D,C) & r3_lattices(A,B,D) <-> r2_hidden(D,k22_filter_2(A,B,C)))))))))))) # label(t63_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.35/146.17 13318 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v16_lattices(A) & l3_lattices(A) & v12_lattices(A) & v15_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v16_lattices(k23_filter_2(A,k18_filter_2(A,B))) & l3_lattices(k23_filter_2(A,k18_filter_2(A,B))) & v15_lattices(k23_filter_2(A,k18_filter_2(A,B))) & v10_lattices(k23_filter_2(A,k18_filter_2(A,B))) & -v3_struct_0(k23_filter_2(A,k18_filter_2(A,B)))))))) # label(t85_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13319 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k18_filter_2(A,B) = u1_struct_0(A) & -(all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = B))))))) # label(t35_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13320 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v10_lattices(A) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13321 (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(B,k18_filter_2(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t29_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13322 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> k7_lattices(A,C) = k7_lattices(B,D))))))))))) # label(t12_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13323 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m2_filter_2(C,A) -> (C = k19_filter_2(A,B) <-> r1_tarski(B,C) & (all D (m2_filter_2(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D))))))))))) # label(d11_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13324 (all A all B (v10_lattices(A) & m1_subset_1(B,u1_struct_0(k1_lattice2(A))) & l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k6_filter_2(A,B),u1_struct_0(A)))) # label(dt_k6_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13325 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k22_filter_2(A,B,C),A) & -v1_xboole_0(k22_filter_2(A,B,C)))) # label(dt_k22_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13326 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13327 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v13_lattices(A) -> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A)))) # label(t26_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13328 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m2_filter_2(C,A) -> m2_filter_2(C,B)))))))) # label(t17_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13329 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) -> k2_filter_0(A,B) = k2_filter_2(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13330 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_filter_2(D,A) -> (r2_hidden(B,D) -> r2_hidden(k4_lattices(A,C,B),D) & r2_hidden(k4_lattices(A,B,C),D)))))))))) # label(t23_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13331 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> k23_filter_2(A,B) = k8_filter_0(A,B))))) # label(t70_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13332 (all A all B (l3_lattices(A) & -v1_xboole_0(B) & m2_lattice4(B,k1_lattice2(A)) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k12_filter_2(A,B),A) & -v1_xboole_0(k12_filter_2(A,B)))) # label(dt_k12_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13333 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> B != u1_struct_0(A) & (all C (m2_filter_2(C,A) -> (r1_tarski(B,C) -> r1_filter_2(u1_struct_0(A),B,C) | u1_struct_0(A) = C)))))))) # label(d10_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13334 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (C = E & F = D -> k1_lattices(B,E,F) = k1_lattices(A,C,D) & (r1_lattices(A,C,D) -> r1_lattices(B,E,F)) & (r1_lattices(B,E,F) -> r1_lattices(A,C,D)) & k2_lattices(B,E,F) = k2_lattices(A,C,D))))))))))))))) # label(t8_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13335 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_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(k23_filter_2(A,B))) -> (all F (m1_subset_1(F,u1_struct_0(k23_filter_2(A,B))) -> (D = F & E = C -> (r3_lattices(k23_filter_2(A,B),E,F) <-> r3_lattices(A,C,D))))))))))))))) # label(t75_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13336 (all A all B (v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,k1_lattice2(A)) & -v3_struct_0(A) -> k16_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k16_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13337 (all A all B (v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m2_lattice4(B,A) & -v3_struct_0(A) -> -v1_xboole_0(k10_filter_2(A,B)) & m2_lattice4(k10_filter_2(A,B),k1_lattice2(A)))) # label(dt_k10_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13338 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m2_nat_lat(B,A) & l3_lattices(A) -> m2_nat_lat(k24_filter_2(A,B),k1_lattice2(A)) & v3_lattices(k24_filter_2(A,B)))) # label(dt_k24_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13339 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_0(A,B) = k3_filter_2(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13340 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k20_filter_2(A,B,C))))))))) # label(t52_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13341 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13342 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k5_filter_0(k1_lattice2(A),k7_filter_2(A,B),k7_filter_2(A,C)) = k20_filter_2(A,B,C) & k20_filter_2(k1_lattice2(A),k7_filter_2(A,B),k7_filter_2(A,C)) = k5_filter_0(A,B,C) & k5_filter_0(k1_lattice2(A),D,E) = k20_filter_2(A,k8_filter_2(A,D),k8_filter_2(A,E)) & k5_filter_0(A,k8_filter_2(A,D),k8_filter_2(A,E)) = k20_filter_2(k1_lattice2(A),D,E))))))))))) # label(t45_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13343 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = k1_lattice2(k1_lattice2(A)))) # label(t7_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13344 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> u2_lattices(k23_filter_2(A,B)) = k1_realset1(u2_lattices(A),B) & u1_lattices(k23_filter_2(A,B)) = k1_realset1(u1_lattices(A),B) & B = u1_struct_0(k23_filter_2(A,B)))))) # label(t73_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13345 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) -> (k1_realset1(C,B) = D -> (v3_binop_1(C,A) -> v3_binop_1(D,B)) & (v2_binop_1(C,A) -> v2_binop_1(D,B)) & (v1_binop_1(C,A) -> v1_binop_1(D,B))))))))))) # label(t1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13346 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> u1_struct_0(A) = k17_filter_2(A))) # label(d8_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13347 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13348 (all A all B all C all D (m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_2_filter_2(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = E & r3_lattices(B,C,E) & r3_lattices(B,E,D)))))) # label(fraenkel_a_3_2_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13349 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(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(k23_filter_2(A,B))) -> (all F (m1_subset_1(F,u1_struct_0(k23_filter_2(A,B))) -> (E = C & F = D -> k4_lattices(A,C,D) = k4_lattices(k23_filter_2(A,B),E,F) & k3_lattices(A,C,D) = k3_lattices(k23_filter_2(A,B),E,F)))))))))))))) # label(t74_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13350 (all A all B all C (-v3_struct_0(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & v10_lattices(B) -> (r2_hidden(A,a_2_0_filter_2(B,C)) <-> (exists D (D = A & r3_lattices(B,D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13351 (all A (v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & v14_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k6_lattices(A) = k6_lattices(B)))))) # label(t10_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13352 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k4_lattices(A,C,D),B) <-> r2_hidden(C,B) & r2_hidden(D,B)))))) -> m2_lattice4(B,A)))))) # label(t13_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13353 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (r3_lattices(k1_lattice2(A),D,E) -> r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D))) & (r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D)) -> r3_lattices(k1_lattice2(A),D,E)) & (r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B)) -> r3_lattices(A,B,C)) & (r3_lattices(A,B,C) -> r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B))))))))))))) # label(t20_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13354 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) <-> -r2_hidden(k7_lattices(A,C),B))))))))) # label(t59_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13355 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> B = k8_filter_2(A,B))))) # label(d7_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13356 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k2_filter_2(A,B),k22_filter_2(A,B,k6_lattices(A)))))))) # label(t66_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13357 (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)) -> (r1_filter_2(A,B,C) <-> (all D (m1_subset_1(D,A) -> (r2_hidden(D,B) <-> r2_hidden(D,C))))))))))) # label(d1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13358 (all A all B all C (-v3_struct_0(A) & l3_lattices(A) & m2_filter_2(C,A) & m2_filter_2(B,A) & v11_lattices(A) & v10_lattices(A) -> k21_filter_2(A,B,C) = k20_filter_2(A,B,C))) # label(redefinition_k21_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13359 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k18_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13360 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v13_lattices(A) -> v13_lattices(k23_filter_2(A,k18_filter_2(A,B))) & k5_lattices(k23_filter_2(A,k18_filter_2(A,B))) = k5_lattices(A)))))) # label(t82_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13361 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_tarski(C,k20_filter_2(A,B,C)) & r1_tarski(B,k20_filter_2(A,B,C)))))))) # label(t51_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13362 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k1_filter_0(A) = k1_filter_2(A))) # label(redefinition_k1_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13363 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_nat_lat(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t69_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13364 (all A all B (m2_lattice4(B,A) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_nat_lat(k23_filter_2(A,B),A))) # label(dt_k23_filter_2) # label(axiom) # label(non_clause). [assumption]. 147.43/146.17 13365 (all A (-v1_xboole_0(A) & v2_cat_5(A) -> (all B (-v1_xboole_0(B) -> (all C (v3_cat_5(C) & l1_cat_1(C) & v2_cat_1(C) & v1_cat_1(C) -> (all D (v1_cat_1(D) & v2_cat_1(D) & l1_cat_1(D) & v3_cat_5(D) -> (A = u1_cat_1(D) & (all E (m1_cat_5(E,A) -> (all F (m1_cat_5(F,A) -> (all G (m2_cat_1(G,E,F) -> (r2_hidden(G,B) <-> m1_subset_1(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(u2_cat_1(E),u2_cat_1(F))),k1_domain_1(A,A,E,F),G),u2_cat_1(D))))))))) & (all E (m1_cat_5(E,A) -> (all F (m1_cat_5(F,A) -> (all G (m2_cat_1(G,E,F) -> (r2_hidden(G,B) <-> m1_subset_1(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(u2_cat_1(E),u2_cat_1(F))),k1_domain_1(A,A,E,F),G),u2_cat_1(C))))))))) & A = u1_cat_1(C) -> D = C))))))))) # label(t18_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13366 (all A ((all B (r2_hidden(B,A) -> v2_cat_1(B) & l1_cat_1(B))) <-> v2_cat_5(A))) # label(d4_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13367 (all A (v2_cat_5(A) & -v1_xboole_0(A) -> (all B (m1_cat_5(B,A) -> v2_cat_1(B) & l1_cat_1(B))))) # label(dt_m1_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13368 (all A all B all C (m1_subset_1(C,u2_cat_1(k15_cat_5(A,B))) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> k19_cat_5(A,B,C) = k2_mcart_1(C))) # label(redefinition_k19_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13369 (all A all B all C (m1_subset_1(C,u2_cat_1(k14_cat_5(A,B))) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> m2_subset_1(k18_cat_5(A,B,C),u2_cat_1(A),k12_cat_5(A,B)))) # label(dt_k18_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13370 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m2_subset_1(C,u2_cat_1(A),k12_cat_5(A,B)) -> (all D (m1_subset_1(D,u1_cat_1(k14_cat_5(A,B))) -> (C = D -> k1_domain_1(u1_cat_1(k11_cat_2(k14_cat_5(A,B),k14_cat_5(A,B))),u2_cat_1(A),k12_cat_2(k14_cat_5(A,B),k14_cat_5(A,B),D,D),k10_cat_1(A,k2_cat_1(A,C))) = k10_cat_1(k14_cat_5(A,B),D)))))))))) # label(t30_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13371 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) -> k2_mcart_1(C) = k3_cat_5(A,B,C))) # label(redefinition_k3_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13372 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m2_cat_1(C,k15_cat_5(A,k3_cat_1(A,B)),k15_cat_5(A,k2_cat_1(A,B))) -> ((all D (m1_subset_1(D,u2_cat_1(k15_cat_5(A,k3_cat_1(A,B)))) -> k8_funct_2(u2_cat_1(k15_cat_5(A,k3_cat_1(A,B))),u2_cat_1(k15_cat_5(A,k2_cat_1(A,B))),C,D) = k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,k4_cat_1(A,B,k20_cat_5(A,k3_cat_1(A,B),D)),k4_cat_1(A,B,k21_cat_5(A,k3_cat_1(A,B),D))),k19_cat_5(A,k3_cat_1(A,B),D)))) <-> k23_cat_5(A,B) = C))))))) # label(d14_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13373 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) & v3_cat_5(A) & v2_cat_1(A) -> v2_cat_1(k8_cat_5(A,B)) & l1_cat_1(k8_cat_5(A,B)))) # label(dt_k8_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13374 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(k15_cat_5(A,B))) -> k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,k20_cat_5(A,B,C),k21_cat_5(A,B,C)),k19_cat_5(A,B,C)) = C & k2_cat_1(A,k19_cat_5(A,B,C)) = k3_cat_1(A,k20_cat_5(A,B,C)) & k4_cat_1(A,k20_cat_5(A,B,C),k19_cat_5(A,B,C)) = k21_cat_5(A,B,C) & k20_cat_5(A,B,C) = k2_cat_1(k15_cat_5(A,B),C) & k3_cat_1(k15_cat_5(A,B),C) = k21_cat_5(A,B,C))))))) # label(t31_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13375 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_cat_1(A,B,C) = k5_subset_1(u2_cat_1(A),k13_cat_5(A,B),k12_cat_5(A,C)))))))) # label(t25_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13376 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (l1_cat_1(C) & v1_cat_5(C) & v2_cat_1(C) & v1_cat_1(C) -> (C = k14_cat_5(A,B) <-> u1_cat_1(C) = k12_cat_5(A,B) & (all D (m2_subset_1(D,u2_cat_1(A),k12_cat_5(A,B)) -> (all E (m2_subset_1(E,u2_cat_1(A),k12_cat_5(A,B)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,F) & D = k4_cat_1(A,F,E) -> m1_subset_1(k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,D,E),F),u2_cat_1(C))))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> (all F (m2_subset_1(F,u2_cat_1(A),k12_cat_5(A,B)) -> (all G (m2_subset_1(G,u2_cat_1(A),k12_cat_5(A,B)) -> (all H (m2_subset_1(H,u2_cat_1(A),k12_cat_5(A,B)) -> (all I (m1_subset_1(I,u2_cat_1(A)) -> (all J (m1_subset_1(J,u2_cat_1(A)) -> (E = k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,G,H),J) & D = k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,F,G),I) -> k4_cat_1(C,D,E) = k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,F,H),k4_cat_1(A,I,J))))))))))))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (exists E ((exists F (m2_subset_1(F,u2_cat_1(A),k12_cat_5(A,B)) & (exists G (k2_cat_1(A,F) = k3_cat_1(A,G) & k4_cat_1(A,G,F) = E & D = k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,E,F),G) & m1_subset_1(G,u2_cat_1(A)))))) & m2_subset_1(E,u2_cat_1(A),k12_cat_5(A,B))))))))))))) # label(d11_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13377 (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 (m3_cat_2(D,B) & v1_cat_1(D) -> (u1_cat_1(D) = k2_relat_1(k12_cat_1(A,B,C)) & (all E (m3_cat_2(E,B) -> (r1_tarski(k2_relat_1(C),u2_cat_1(E)) & u1_cat_1(E) = k2_relat_1(k12_cat_1(A,B,C)) -> m3_cat_2(D,E)))) & r1_tarski(k2_relat_1(C),u2_cat_1(D)) <-> k7_cat_5(A,B,C) = D))))))))) # label(d3_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13378 (all A (v2_cat_1(A) & l1_cat_1(A) -> v3_cat_5(k8_cat_1(A,k4_tarski(k4_tarski(A,A),k15_cat_1(A)))))) # label(t11_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13379 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) -> k22_cat_5(A,k4_cat_1(A,B,C)) = k1_partfun1(u2_cat_1(k14_cat_5(A,k2_cat_1(A,B))),u2_cat_1(k14_cat_5(A,k3_cat_1(A,B))),u2_cat_1(k14_cat_5(A,k2_cat_1(A,C))),u2_cat_1(k14_cat_5(A,k3_cat_1(A,C))),k22_cat_5(A,B),k22_cat_5(A,C))))))))) # label(t33_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13380 (all A all B (l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) & v3_cat_5(A) & v2_cat_1(A) -> k9_cat_5(A,B) = k18_mcart_1(B))) # label(redefinition_k9_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13381 (all A (l1_cat_1(A) & v3_cat_5(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) -> (u1_cat_1(A) = u1_cat_1(B) & u2_cat_1(A) = u2_cat_1(B) -> g1_cat_1(u1_cat_1(B),u2_cat_1(B),u3_cat_1(B),u4_cat_1(B),u5_cat_1(B),u6_cat_1(B)) = g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A))))))) # label(t14_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13382 (all A all B (v1_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) -> k17_mcart_1(B) = k4_cat_5(A,B))) # label(redefinition_k4_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13383 (exists A (l1_cat_1(A) & v1_cat_5(A) & v3_cat_5(A) & v2_cat_1(A) & v1_cat_1(A))) # label(rc3_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13384 (all A all B (v1_cat_5(A) & l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) -> m1_subset_1(k5_cat_5(A,B),u1_cat_1(A)))) # label(dt_k5_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13385 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m2_subset_1(C,u2_cat_1(A),k12_cat_5(A,k2_cat_1(A,B))) -> r2_hidden(k4_cat_1(A,C,B),k12_cat_5(A,k3_cat_1(A,B))))))))) # label(t27_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13386 (all A (l1_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (exists C B = k4_tarski(k1_domain_1(u1_cat_1(A),u1_cat_1(A),k2_cat_1(A,B),k3_cat_1(A,B)),C)))) <-> v1_cat_5(A)))) # label(d1_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13387 (all A (v2_cat_1(k10_cat_5(A)) & l1_cat_1(k10_cat_5(A)))) # label(dt_k10_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13388 (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) -> m2_cat_1(C,A,k7_cat_5(A,B,C)))))))) # label(t8_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13389 (all A all B (v2_cat_1(A) & v3_cat_5(A) & m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> l1_cat_1(k9_cat_5(A,B)) & v2_cat_1(k9_cat_5(A,B)))) # label(dt_k9_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.44/146.19 13390 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(B) -> k18_mcart_1(D) = k2_cat_5(A,B,C,D))) # label(redefinition_k2_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13391 (all A all B (v2_cat_1(A) & v3_cat_5(A) & m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> m2_cat_1(k11_cat_5(A,B),k10_cat_5(k2_cat_1(A,B)),k10_cat_5(k3_cat_1(A,B))))) # label(dt_k11_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13392 (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(k1_cat_5(A,B,C,D),A))) # label(dt_k1_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13393 (exists A (-v1_xboole_0(A) & v2_cat_5(A))) # label(rc2_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13394 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k15_cat_5(A,B))) -> m1_subset_1(k19_cat_5(A,B,C),u2_cat_1(A)))) # label(dt_k19_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13395 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> v2_cat_1(k15_cat_5(A,B)) & v1_cat_5(k15_cat_5(A,B)) & l1_cat_1(k15_cat_5(A,B)) & v1_cat_1(k15_cat_5(A,B)))) # label(dt_k15_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13396 (all A all B all C (v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> v1_cat_1(k7_cat_5(A,B,C)) & m3_cat_2(k7_cat_5(A,B,C),B))) # label(dt_k7_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13397 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m3_cat_2(C,A) -> (-r2_subset_1(u1_cat_1(B),u1_cat_1(C)) -> m3_cat_2(k6_cat_5(B,C),B) & m3_cat_2(k6_cat_5(B,C),C)))))))) # label(t6_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13398 (all A (v2_cat_5(A) & -v1_xboole_0(A) -> (all B (m1_cat_5(B,A) <-> m1_subset_1(B,A))))) # label(redefinition_m1_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13399 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) & v3_cat_5(A) -> k2_mcart_1(B) = k11_cat_5(A,B))) # label(redefinition_k11_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13400 (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(k14_cat_5(A,B))) -> k3_cat_1(A,k16_cat_5(A,B,C)) = k2_cat_1(A,k18_cat_5(A,B,C)) & k18_cat_5(A,B,C) = k3_cat_1(k14_cat_5(A,B),C) & k17_cat_5(A,B,C) = k2_cat_1(k14_cat_5(A,B),C) & k4_cat_1(A,k16_cat_5(A,B,C),k18_cat_5(A,B,C)) = k17_cat_5(A,B,C) & k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,k17_cat_5(A,B,C),k18_cat_5(A,B,C)),k16_cat_5(A,B,C)) = C)))))) # label(t29_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13401 (all A (v2_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) & v4_cat_5(A) -> (all B (v2_cat_1(B) & v3_cat_5(B) & l1_cat_1(B) & v4_cat_5(B) -> (u1_cat_1(B) = u1_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)) = g1_cat_1(u1_cat_1(B),u2_cat_1(B),u3_cat_1(B),u4_cat_1(B),u5_cat_1(B),u6_cat_1(B))))))) # label(t19_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13402 (all A (l1_cat_1(A) & v2_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (l1_cat_1(E) & v2_cat_1(E) -> (all F (v2_cat_1(F) & l1_cat_1(F) -> (all G (m2_cat_1(G,D,E) -> (all H (m2_cat_1(H,E,F) -> (k4_tarski(k4_tarski(E,F),H) = C & k4_tarski(k4_tarski(D,E),G) = B -> k4_tarski(k4_tarski(D,F),k14_cat_1(D,E,F,G,H)) = k4_cat_1(A,B,C)))))))))))))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (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,C,D) -> B != k4_tarski(k4_tarski(C,D),E))) & k3_cat_1(A,B) = D & C = k2_cat_1(A,B)))))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (C = B -> k10_cat_1(A,B) = k4_tarski(k4_tarski(C,C),k15_cat_1(C))))))) & v2_cat_5(u1_cat_1(A)) <-> v3_cat_5(A)))) # label(d6_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13403 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k3_cat_1(A,C) <-> r2_hidden(C,k12_cat_5(A,B))))))))) # label(t23_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13404 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k14_cat_5(A,B))) & l1_cat_1(A) & v2_cat_1(A) -> m2_subset_1(k17_cat_5(A,B,C),u2_cat_1(A),k12_cat_5(A,B)))) # label(dt_k17_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13405 (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)) -> (r2_hidden(C,k13_cat_5(A,B)) <-> k2_cat_1(A,C) = B))))))) # label(t24_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13406 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) & v1_cat_5(A) -> m1_subset_1(k4_cat_5(A,B),u1_cat_1(A)))) # label(dt_k4_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13407 (exists A (v1_cat_1(A) & v2_cat_1(A) & v1_cat_5(A) & v3_cat_5(A) & v4_cat_5(A) & l1_cat_1(A))) # label(rc4_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13408 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> m1_subset_1(k2_cat_5(A,B,C,D),B))) # label(dt_k2_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13409 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k12_cat_5(A,B) = k3_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k6_domain_1(u1_cat_1(A),B)))))) # label(d9_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13410 (all A all B (v1_cat_5(A) & m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> k5_cat_5(A,B) = k18_mcart_1(B))) # label(redefinition_k5_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13411 (all A (l1_cat_1(A) & v3_cat_5(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) & v3_cat_5(B) -> (r1_tarski(u2_cat_1(A),u2_cat_1(B)) -> m3_cat_2(A,B)))))) # label(t15_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13412 (all A all B (m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> v1_cat_5(k14_cat_5(A,B)) & l1_cat_1(k14_cat_5(A,B)) & v2_cat_1(k14_cat_5(A,B)) & v1_cat_1(k14_cat_5(A,B)))) # label(dt_k14_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13413 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) -> k1_partfun1(u2_cat_1(k15_cat_5(A,k3_cat_1(A,C))),u2_cat_1(k15_cat_5(A,k2_cat_1(A,C))),u2_cat_1(k15_cat_5(A,k3_cat_1(A,B))),u2_cat_1(k15_cat_5(A,k2_cat_1(A,B))),k23_cat_5(A,C),k23_cat_5(A,B)) = k23_cat_5(A,k4_cat_1(A,B,C))))))))) # label(t34_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13414 (all A (l1_cat_1(A) -> (v3_cat_5(A) & v2_cat_1(A) -> v1_cat_5(A) & v2_cat_1(A)))) # label(cc1_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13415 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (m3_cat_2(A,B) -> 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)) = g1_cat_1(u1_cat_1(B),u2_cat_1(B),u3_cat_1(B),u4_cat_1(B),u5_cat_1(B),u6_cat_1(B))))))) # label(t3_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13416 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m3_cat_2(C,A) -> (-r2_subset_1(u1_cat_1(B),u1_cat_1(C)) -> k6_cat_5(B,C) = k6_cat_5(C,B)))))))) # label(t5_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13417 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> v2_cat_1(B) & l1_cat_1(B))) <-> v2_cat_5(A)))) # label(d5_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13418 (all A (l1_cat_1(A) & v3_cat_5(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v2_cat_1(B) & l1_cat_1(B))))) # label(t12_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13419 (all A (v2_cat_5(A) & -v1_xboole_0(A) -> (exists B (v2_cat_1(B) & l1_cat_1(B) & A = u1_cat_1(B) & v4_cat_5(B) & v3_cat_5(B) & v1_cat_1(B))))) # label(t20_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13420 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(C,u2_cat_1(k15_cat_5(A,B))) & m1_subset_1(B,u1_cat_1(A)) -> m2_subset_1(k21_cat_5(A,B,C),u2_cat_1(A),k13_cat_5(A,B)))) # label(dt_k21_cat_5) # label(axiom) # label(non_clause). [assumption]. 147.50/146.24 13421 (all A (l1_cat_1(A) & v3_cat_5(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) -> (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) -> (all D (m2_cat_1(D,B,C) -> m1_subset_1(k4_tarski(k4_tarski(B,C),D),u2_cat_1(A))))))))) <-> v4_cat_5(A)))) # label(d8_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13422 (all A (m1_subset_1(A,f1_s1_cat_5) -> (exists B (p1_s1_cat_5(A,A,B) & (all C (m1_subset_1(C,f1_s1_cat_5) -> (all D (m1_subset_1(D,f2_s1_cat_5) -> (p1_s1_cat_5(A,C,D) -> f3_s1_cat_5(D,B) = D) & (p1_s1_cat_5(C,A,D) -> D = f3_s1_cat_5(B,D)))))) & m1_subset_1(B,f2_s1_cat_5))))) & (all A (m1_subset_1(A,f1_s1_cat_5) -> (all B (m1_subset_1(B,f1_s1_cat_5) -> (all C (m1_subset_1(C,f1_s1_cat_5) -> (all D (m1_subset_1(D,f1_s1_cat_5) -> (all E (m1_subset_1(E,f2_s1_cat_5) -> (all F (m1_subset_1(F,f2_s1_cat_5) -> (all G (m1_subset_1(G,f2_s1_cat_5) -> (p1_s1_cat_5(B,C,F) & p1_s1_cat_5(C,D,G) & p1_s1_cat_5(A,B,E) -> f3_s1_cat_5(G,f3_s1_cat_5(F,E)) = f3_s1_cat_5(f3_s1_cat_5(G,F),E)))))))))))))))) & (all A (m1_subset_1(A,f1_s1_cat_5) -> (all B (m1_subset_1(B,f1_s1_cat_5) -> (all C (m1_subset_1(C,f1_s1_cat_5) -> (all D (m1_subset_1(D,f2_s1_cat_5) -> (all E (m1_subset_1(E,f2_s1_cat_5) -> (p1_s1_cat_5(A,B,D) & p1_s1_cat_5(B,C,E) -> p1_s1_cat_5(A,C,f3_s1_cat_5(E,D)) & r2_hidden(f3_s1_cat_5(E,D),f2_s1_cat_5)))))))))))) -> (exists A ((all B (m1_subset_1(B,u2_cat_1(A)) -> (exists C (m1_subset_1(C,f1_s1_cat_5) & (exists D ((exists E (p1_s1_cat_5(C,D,E) & k1_domain_1(k2_zfmisc_1(f1_s1_cat_5,f1_s1_cat_5),f2_s1_cat_5,k1_domain_1(f1_s1_cat_5,f1_s1_cat_5,C,D),E) = B & m1_subset_1(E,f2_s1_cat_5))) & m1_subset_1(D,f1_s1_cat_5))))))) & (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,f1_s1_cat_5) -> (all E (m1_subset_1(E,f1_s1_cat_5) -> (all F (m1_subset_1(F,f1_s1_cat_5) -> (all G (m1_subset_1(G,f2_s1_cat_5) -> (all H (m1_subset_1(H,f2_s1_cat_5) -> (C = k1_domain_1(k2_zfmisc_1(f1_s1_cat_5,f1_s1_cat_5),f2_s1_cat_5,k1_domain_1(f1_s1_cat_5,f1_s1_cat_5,E,F),H) & B = k1_domain_1(k2_zfmisc_1(f1_s1_cat_5,f1_s1_cat_5),f2_s1_cat_5,k1_domain_1(f1_s1_cat_5,f1_s1_cat_5,D,E),G) -> k4_tarski(k1_domain_1(f1_s1_cat_5,f1_s1_cat_5,D,F),f3_s1_cat_5(H,G)) = k4_cat_1(A,B,C)))))))))))))))) & (all B (m1_subset_1(B,f1_s1_cat_5) -> (all C (m1_subset_1(C,f1_s1_cat_5) -> (all D (m1_subset_1(D,f2_s1_cat_5) -> (p1_s1_cat_5(B,C,D) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(f1_s1_cat_5,f1_s1_cat_5),f2_s1_cat_5,k1_domain_1(f1_s1_cat_5,f1_s1_cat_5,B,C),D),u2_cat_1(A))))))))) & u1_cat_1(A) = f1_s1_cat_5 & l1_cat_1(A) & v1_cat_5(A) & v2_cat_1(A) & v1_cat_1(A))) # label(s1_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13423 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m3_cat_2(C,B) -> (all D (m2_cat_1(D,A,B) -> (r1_tarski(k2_relat_1(D),u2_cat_1(C)) -> m2_cat_1(D,A,C)))))))))) # label(t7_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13424 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k14_cat_5(A,B))) & l1_cat_1(A) & v2_cat_1(A) -> k16_cat_5(A,B,C) = k2_mcart_1(C))) # label(redefinition_k16_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13425 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k15_cat_5(A,B))) & l1_cat_1(A) & v2_cat_1(A) -> k20_cat_5(A,B,C) = k17_mcart_1(C))) # label(redefinition_k20_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13426 (all A (v3_cat_5(A) & l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k10_cat_5(B) = B)))) # label(t16_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13427 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> r2_hidden(B,k12_cat_5(A,k3_cat_1(A,B))) & r2_hidden(B,k13_cat_5(A,k2_cat_1(A,B))))))) # label(t26_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13428 (all A all B all C (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k15_cat_5(A,B))) & l1_cat_1(A) -> m2_subset_1(k20_cat_5(A,B,C),u2_cat_1(A),k13_cat_5(A,B)))) # label(dt_k20_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13429 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k14_cat_5(A,B))) & l1_cat_1(A) & v2_cat_1(A) -> k18_mcart_1(C) = k18_cat_5(A,B,C))) # label(redefinition_k18_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13430 (all A (v3_cat_5(A) & l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> v3_cat_5(B))))) # label(cc2_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13431 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m3_cat_2(C,B) -> m3_cat_2(C,A))))))) # label(t4_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13432 (all A all B all C (v2_cat_1(A) & m1_subset_1(C,u2_cat_1(k14_cat_5(A,B))) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> k17_cat_5(A,B,C) = k17_mcart_1(C))) # label(redefinition_k17_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13433 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m2_subset_1(C,u2_cat_1(A),k13_cat_5(A,B)) -> (all D (m1_subset_1(D,u1_cat_1(k15_cat_5(A,B))) -> (C = D -> k1_domain_1(u1_cat_1(k11_cat_2(k15_cat_5(A,B),k15_cat_5(A,B))),u2_cat_1(A),k12_cat_2(k15_cat_5(A,B),k15_cat_5(A,B),D,D),k10_cat_1(A,k3_cat_1(A,C))) = k10_cat_1(k15_cat_5(A,B),D)))))))))) # label(t32_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13434 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> v1_cat_1(k6_cat_5(A,B)) & v2_cat_1(k6_cat_5(A,B)) & l1_cat_1(k6_cat_5(A,B)))) # label(dt_k6_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13435 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),k6_domain_1(u1_cat_1(A),B)) = k13_cat_5(A,B))))) # label(d10_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13436 (all A (l1_cat_1(A) & v1_cat_5(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(A,B) = k17_mcart_1(B) & k18_mcart_1(B) = k3_cat_1(A,B) & k4_tarski(k1_domain_1(u1_cat_1(A),u1_cat_1(A),k2_cat_1(A,B),k3_cat_1(A,B)),k2_mcart_1(B)) = B)))) # label(t2_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13437 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (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)) = g1_cat_1(u1_cat_1(B),u2_cat_1(B),u3_cat_1(B),u4_cat_1(B),u5_cat_1(B),u6_cat_1(B)) & v3_cat_5(A) -> v3_cat_5(B)))))) # label(t10_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13438 (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_cat_5(A,B,C),B))) # label(dt_k3_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13439 (all A (l1_cat_1(A) -> (all B (l1_cat_1(B) -> (g1_cat_1(u1_cat_1(B),u2_cat_1(B),u3_cat_1(B),u4_cat_1(B),u5_cat_1(B),u6_cat_1(B)) = 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)) & v2_cat_1(A) -> v2_cat_1(B)))))) # label(t1_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13440 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) -> k17_mcart_1(D) = k1_cat_5(A,B,C,D))) # label(redefinition_k1_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.09 13441 (all A (m1_subset_1(A,u2_cat_1(f1_s3_cat_5)) -> (all B (m1_subset_1(B,u2_cat_1(f1_s3_cat_5)) -> (all C (m1_subset_1(C,u2_cat_1(f2_s3_cat_5)) -> (all D (m1_subset_1(D,u2_cat_1(f2_s3_cat_5)) -> (C = f4_s3_cat_5(A) & D = f4_s3_cat_5(B) & k2_cat_1(f1_s3_cat_5,B) = k3_cat_1(f1_s3_cat_5,A) -> f4_s3_cat_5(k4_cat_1(f1_s3_cat_5,A,B)) = k4_cat_1(f2_s3_cat_5,C,D)))))))))) & (all A (m1_subset_1(A,u1_cat_1(f1_s3_cat_5)) -> f4_s3_cat_5(k10_cat_1(f1_s3_cat_5,A)) = k10_cat_1(f2_s3_cat_5,f3_s3_cat_5(A)))) & (all A (m1_subset_1(A,u2_cat_1(f1_s3_cat_5)) -> (all B (m1_subset_1(B,u2_cat_1(f2_s3_cat_5)) -> (f4_s3_cat_5(A) = B -> k2_cat_1(f2_s3_cat_5,B) = f3_s3_cat_5(k2_cat_1(f1_s3_cat_5,A)) & f3_s3_cat_5(k3_cat_1(f1_s3_cat_5,A)) = k3_cat_1(f2_s3_cat_5,B)))) & m1_subset_1(f4_s3_cat_5(A),u2_cat_1(f2_s3_cat_5)))) -> (exists A ((all B (m1_subset_1(B,u2_cat_1(f1_s3_cat_5)) -> f4_s3_cat_5(B) = k8_funct_2(u2_cat_1(f1_s3_cat_5),u2_cat_1(f2_s3_cat_5),A,B))) & m2_cat_1(A,f1_s3_cat_5,f2_s3_cat_5))) # label(s3_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13442 (all A all B (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & v2_cat_1(A) -> m1_subset_1(k12_cat_5(A,B),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k12_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13443 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> -v1_xboole_0(k13_cat_5(A,B)))) # label(fc2_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13444 (all A (l1_cat_1(A) & v2_cat_1(A) -> k10_cat_5(A) = A)) # label(d7_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13445 (all A (l1_cat_1(A) & v3_cat_5(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k3_cat_1(A,B) = k5_cat_5(A,B) & k2_cat_1(A,B) = k4_cat_5(A,B))))) # label(t13_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13446 (exists A (v1_cat_1(A) & v1_cat_5(A) & v2_cat_1(A) & l1_cat_1(A))) # label(rc1_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13447 (all A (v2_cat_1(A) & v3_cat_5(A) & l1_cat_1(A) -> (all B (v3_cat_5(B) & v4_cat_5(B) & l1_cat_1(B) & v2_cat_1(B) -> (r1_tarski(u1_cat_1(A),u1_cat_1(B)) -> m3_cat_2(A,B)))))) # label(t21_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13448 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(k14_cat_5(A,B))) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k16_cat_5(A,B,C),u2_cat_1(A)))) # label(dt_k16_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13449 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> -((exists C (v2_cat_1(C) & l1_cat_1(C) & m3_cat_2(B,C) & m3_cat_2(A,C))) & (exists C (m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(B)))) & -(all C (v1_cat_1(C) & v2_cat_1(C) & l1_cat_1(C) -> (C = k6_cat_5(A,B) <-> k3_xboole_0(u1_cat_1(A),u1_cat_1(B)) = u1_cat_1(C) & u3_cat_1(C) = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),u2_cat_1(B)) & k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),u2_cat_1(B)) = u4_cat_1(C) & u5_cat_1(C) = k1_realset1(u5_cat_1(A),u2_cat_1(B)) & u6_cat_1(C) = k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),u1_cat_1(B)) & k3_xboole_0(u2_cat_1(A),u2_cat_1(B)) = u2_cat_1(C))))))))) # label(d2_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13450 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> -v1_xboole_0(k12_cat_5(A,B)))) # label(fc1_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13451 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) & v3_cat_5(B) -> (all C (v2_cat_1(C) & v3_cat_5(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (E = D -> k7_cat_5(A,C,E) = k7_cat_5(A,B,D)))))))))))) # label(t22_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13452 (all A all B (v3_cat_5(A) & m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> k17_mcart_1(B) = k8_cat_5(A,B))) # label(redefinition_k8_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13453 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m2_subset_1(C,u2_cat_1(A),k13_cat_5(A,k3_cat_1(A,B))) -> r2_hidden(k4_cat_1(A,B,C),k13_cat_5(A,k2_cat_1(A,B))))))))) # label(t28_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13454 (all A (v2_cat_5(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> -((all C (m1_cat_5(C,A) -> (all D (m1_cat_5(D,A) -> (all E (m1_cat_5(E,A) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,D,E) -> (r2_hidden(F,B) & r2_hidden(G,B) -> r2_hidden(k14_cat_1(C,D,E,F,G),B)))))))))))) & (all C (m1_cat_5(C,A) -> r2_hidden(k15_cat_1(C),B))) & (all C (v3_cat_5(C) & l1_cat_1(C) & v2_cat_1(C) & v1_cat_1(C) -> -((all D (m1_cat_5(D,A) -> (all E (m1_cat_5(E,A) -> (all F (m2_cat_1(F,D,E) -> (m1_subset_1(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(u2_cat_1(D),u2_cat_1(E))),k1_domain_1(A,A,D,E),F),u2_cat_1(C)) <-> r2_hidden(F,B)))))))) & u1_cat_1(C) = A)))))))) # label(t17_cat_5) # label(axiom) # label(non_clause). [assumption]. 151.35/150.10 13455 Alarm clock 181.30/180.04 Prover9 interrupted 181.30/180.04 EOF