0.04/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.36 % Computer : n018.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1440 0.14/0.36 % WCLimit : 180 0.14/0.36 % DateTime : Mon Jul 3 09:10:31 EDT 2023 0.14/0.36 % CPUTime : 4.39/4.75 ============================== Prover9 =============================== 4.39/4.75 Prover9 (32) version 2009-11A, November 2009. 4.39/4.75 Process 12391 was started by sandbox2 on n018.cluster.edu, 4.39/4.75 Mon Jul 3 09:10:35 2023 4.39/4.75 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_12237_n018.cluster.edu". 4.39/4.75 ============================== end of head =========================== 4.39/4.75 4.39/4.75 ============================== INPUT ================================= 4.39/4.75 4.39/4.75 % Reading from file /tmp/Prover9_12237_n018.cluster.edu 4.39/4.75 4.39/4.75 set(prolog_style_variables). 4.39/4.75 set(auto2). 4.39/4.75 % set(auto2) -> set(auto). 4.39/4.75 % set(auto) -> set(auto_inference). 4.39/4.75 % set(auto) -> set(auto_setup). 4.39/4.75 % set(auto_setup) -> set(predicate_elim). 4.39/4.75 % set(auto_setup) -> assign(eq_defs, unfold). 4.39/4.75 % set(auto) -> set(auto_limits). 4.39/4.75 % set(auto_limits) -> assign(max_weight, "100.000"). 4.39/4.75 % set(auto_limits) -> assign(sos_limit, 20000). 4.39/4.75 % set(auto) -> set(auto_denials). 4.39/4.75 % set(auto) -> set(auto_process). 4.39/4.75 % set(auto2) -> assign(new_constants, 1). 4.39/4.75 % set(auto2) -> assign(fold_denial_max, 3). 4.39/4.75 % set(auto2) -> assign(max_weight, "200.000"). 4.39/4.75 % set(auto2) -> assign(max_hours, 1). 4.39/4.75 % assign(max_hours, 1) -> assign(max_seconds, 3600). 4.39/4.75 % set(auto2) -> assign(max_seconds, 0). 4.39/4.75 % set(auto2) -> assign(max_minutes, 5). 4.39/4.75 % assign(max_minutes, 5) -> assign(max_seconds, 300). 4.39/4.75 % set(auto2) -> set(sort_initial_sos). 4.39/4.75 % set(auto2) -> assign(sos_limit, -1). 4.39/4.75 % set(auto2) -> assign(lrs_ticks, 3000). 4.39/4.75 % set(auto2) -> assign(max_megs, 400). 4.39/4.75 % set(auto2) -> assign(stats, some). 4.39/4.75 % set(auto2) -> clear(echo_input). 4.39/4.75 % set(auto2) -> set(quiet). 4.39/4.75 % set(auto2) -> clear(print_initial_clauses). 4.39/4.75 % set(auto2) -> clear(print_given). 4.39/4.75 assign(lrs_ticks,-1). 4.39/4.75 assign(sos_limit,10000). 4.39/4.75 assign(order,kbo). 4.39/4.75 set(lex_order_vars). 4.39/4.75 clear(print_given). 4.39/4.75 4.39/4.75 % formulas(sos). % not echoed (3868 formulas) 4.39/4.75 4.39/4.75 ============================== end of input ========================== 4.39/4.75 4.39/4.75 % From the command line: assign(max_seconds, 1440). 4.39/4.75 4.39/4.75 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 4.39/4.75 4.39/4.75 % Formulas that are not ordinary clauses: 4.39/4.75 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 3 $T # label(t3_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 5 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 6 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 8 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 9 $T # label(t1_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 10 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 11 $T # label(t6_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 12 $T # label(t4_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 13 $T # label(t8_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 17 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 20 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 22 $T # label(t5_tarski) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 29 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 30 $T # label(dt_k5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 33 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 36 (all A all B k3_xboole_0(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 38 (all A (A = k1_xboole_0 <-> v1_xboole_0(A))) # label(d5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 39 (all A all B -r2_xboole_0(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 40 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 46 (all A all B k2_xboole_0(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 49 (all A all B r3_xboole_0(A,A)) # label(reflexivity_r3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 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]. 4.39/4.75 56 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 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]. 4.39/4.75 58 (all A (A = k1_xboole_0 <-> (all B -r2_hidden(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 59 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 60 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 61 (all A all B -(v1_xboole_0(B) & r2_hidden(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 62 (all A k1_xboole_0 = k3_xboole_0(A,k1_xboole_0)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 63 (all A k4_xboole_0(k1_xboole_0,A) = k1_xboole_0) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 64 (all A A = k2_xboole_0(A,k1_xboole_0)) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 65 (all A all B -(v1_xboole_0(B) & A != B & v1_xboole_0(A))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 66 (all A k5_xboole_0(A,k1_xboole_0) = A) # label(t5_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 67 (all A A = k4_xboole_0(A,k1_xboole_0)) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 68 (all A (v1_xboole_0(A) -> k1_xboole_0 = A)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 69 (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]. 4.39/4.75 70 (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]. 4.39/4.75 71 (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]. 4.39/4.75 72 (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]. 4.39/4.75 73 $T # label(t15_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 74 (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]. 4.39/4.75 75 (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]. 4.39/4.75 76 $T # label(t77_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 77 (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]. 4.39/4.75 78 (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]. 4.39/4.75 79 (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]. 4.39/4.75 80 (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]. 4.39/4.75 81 (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]. 4.39/4.75 82 (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]. 4.39/4.75 83 (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]. 4.39/4.75 84 (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]. 4.39/4.75 85 (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]. 4.39/4.75 86 (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]. 4.39/4.75 87 $T # label(t85_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 88 (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]. 4.39/4.75 89 (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]. 4.39/4.75 90 (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]. 4.39/4.75 91 (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]. 4.39/4.75 92 (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]. 4.39/4.75 93 (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]. 4.39/4.75 94 (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]. 4.39/4.75 95 (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]. 4.39/4.75 96 (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]. 4.39/4.75 97 (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]. 4.39/4.75 98 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 99 (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]. 4.39/4.75 100 (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]. 4.39/4.75 101 $T # label(t78_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 102 (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]. 4.39/4.75 103 (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]. 4.39/4.75 104 (all A all B -v1_xboole_0(k4_tarski(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 105 (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]. 4.39/4.75 106 (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]. 4.39/4.75 107 (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]. 4.39/4.75 108 (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]. 4.39/4.75 109 (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]. 4.39/4.75 110 (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]. 4.39/4.75 111 $T # label(t4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 112 (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]. 4.39/4.75 113 (all A (r1_tarski(A,k2_zfmisc_1(A,A)) -> k1_xboole_0 = A)) # label(t116_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 114 (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]. 4.39/4.75 115 (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]. 4.39/4.75 116 $T # label(t7_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 117 (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]. 4.39/4.75 118 (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]. 4.39/4.75 119 (all A k3_tarski(k1_tarski(A)) = A) # label(t31_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 120 $T # label(t76_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 121 (all A all B r1_tarski(k1_tarski(A),k2_tarski(A,B))) # label(t12_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 122 (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]. 4.39/4.75 123 (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]. 4.39/4.75 124 (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]. 4.39/4.75 125 (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]. 4.39/4.75 126 (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]. 4.39/4.75 127 $T # label(t89_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 128 (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]. 4.39/4.75 129 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> B = A)) # label(t6_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 130 $T # label(t11_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 131 $T # label(t62_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 132 (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]. 4.39/4.75 133 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t24_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 134 (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]. 4.39/4.75 135 (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]. 4.39/4.75 136 $T # label(t3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 137 (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]. 4.39/4.75 138 (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]. 4.39/4.75 139 (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]. 4.39/4.75 140 (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]. 4.39/4.75 141 (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]. 4.39/4.75 142 (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]. 4.39/4.75 143 (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]. 4.39/4.75 144 (all A r1_tarski(k1_tarski(A),k1_zfmisc_1(A))) # label(t80_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 145 (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]. 4.39/4.75 146 (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]. 4.39/4.75 147 (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]. 4.39/4.75 148 (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]. 4.39/4.75 149 (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]. 4.39/4.75 150 $T # label(t5_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 151 (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]. 4.39/4.75 152 (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]. 4.39/4.75 153 (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]. 4.39/4.75 154 (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]. 4.39/4.75 155 (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]. 4.39/4.75 156 (all A all B (r2_hidden(A,B) -> r1_tarski(A,k3_tarski(B)))) # label(t92_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 157 (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]. 4.39/4.75 158 $T # label(t71_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 159 (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]. 4.39/4.75 160 (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]. 4.39/4.75 161 $T # label(t91_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 162 (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]. 4.39/4.75 163 (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]. 4.39/4.75 164 (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]. 4.39/4.75 165 (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]. 4.39/4.75 166 (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]. 4.39/4.75 167 (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]. 4.39/4.75 168 (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]. 4.39/4.75 169 (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]. 4.39/4.75 170 (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]. 4.39/4.75 171 $T # label(t88_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 172 (all A all B (r2_hidden(A,B) <-> r1_tarski(k1_tarski(A),B))) # label(t37_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.75 173 (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]. 4.39/4.75 174 (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]. 4.39/4.76 175 (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]. 4.39/4.76 176 (all A r1_tarski(A,k1_zfmisc_1(k3_tarski(A)))) # label(t100_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 177 (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]. 4.39/4.76 178 (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]. 4.39/4.76 179 (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]. 4.39/4.76 180 (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]. 4.39/4.76 181 (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]. 4.39/4.76 182 $T # label(t133_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 183 (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]. 4.39/4.76 184 (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]. 4.39/4.76 185 $T # label(t61_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 186 (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]. 4.39/4.76 187 (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]. 4.39/4.76 188 (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]. 4.39/4.76 189 (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]. 4.39/4.76 190 $T # label(t87_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 191 (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]. 4.39/4.76 192 (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]. 4.39/4.76 193 $T # label(dt_k3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 194 (all A all B k1_xboole_0 != k2_xboole_0(k1_tarski(A),B)) # label(t49_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 195 (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]. 4.39/4.76 196 (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]. 4.39/4.76 197 (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]. 4.39/4.76 198 (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]. 4.39/4.76 199 (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]. 4.39/4.76 200 (all A k3_tarski(k1_zfmisc_1(A)) = A) # label(t99_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 201 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 202 (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]. 4.39/4.76 203 (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]. 4.39/4.76 204 (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]. 4.39/4.76 205 (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]. 4.39/4.76 206 (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]. 4.39/4.76 207 (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]. 4.39/4.76 208 (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]. 4.39/4.76 209 $T # label(dt_k4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 210 (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]. 4.39/4.76 211 (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]. 4.39/4.76 212 (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]. 4.39/4.76 213 $T # label(t90_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 214 (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]. 4.39/4.76 215 (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]. 4.39/4.76 216 (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]. 4.39/4.76 217 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 218 (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]. 4.39/4.76 219 (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]. 4.39/4.76 220 (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]. 4.39/4.76 221 (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]. 4.39/4.76 222 (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]. 4.39/4.76 223 (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]. 4.39/4.76 224 (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]. 4.39/4.76 225 $T # label(t5_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 226 (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]. 4.39/4.76 227 (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]. 4.39/4.76 228 $T # label(t9_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 229 (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]. 4.39/4.76 230 (all A k1_subset_1(A) = k3_subset_1(A,k2_subset_1(A))) # label(t21_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 231 (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]. 4.39/4.76 232 (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]. 4.39/4.76 233 (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]. 4.39/4.76 234 (all A k1_xboole_0 = k1_subset_1(A)) # label(d3_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 235 (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]. 4.39/4.76 236 (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]. 4.39/4.76 237 (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]. 4.39/4.76 238 $T # label(t12_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 239 (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]. 4.39/4.76 240 (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]. 4.39/4.76 241 (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]. 4.39/4.76 242 (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]. 4.39/4.76 243 $T # label(t37_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 244 $T # label(t23_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 245 (all A k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A))) # label(t22_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 246 $T # label(t2_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 247 (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]. 4.39/4.76 248 (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]. 4.39/4.76 249 (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]. 4.39/4.76 250 $T # label(t14_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 251 (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]. 4.39/4.76 252 (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]. 4.39/4.76 253 (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]. 4.39/4.76 254 (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]. 4.39/4.76 255 (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]. 4.39/4.76 256 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 257 (all A m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 258 (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]. 4.39/4.76 259 (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]. 4.39/4.76 260 (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]. 4.39/4.76 261 (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]. 4.39/4.76 262 (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]. 4.39/4.76 263 $T # label(t20_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 264 (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]. 4.39/4.76 265 (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]. 4.39/4.76 266 (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]. 4.39/4.76 267 (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]. 4.39/4.76 268 (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]. 4.39/4.76 269 $T # label(t1_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 270 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r1_tarski(B,C) & r1_xboole_0(D,C) -> r1_tarski(B,k3_subset_1(A,D))))))))) # label(t47_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 271 (all A all B (m1_subset_1(B,A) -> (A != k1_xboole_0 -> m1_subset_1(k1_tarski(B),k1_zfmisc_1(A))))) # label(t55_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 272 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r1_subset_1(A,B) -> r1_subset_1(B,A)))) # label(symmetry_r1_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 273 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_xboole_0(B,C) = k6_subset_1(A,B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 274 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = k5_xboole_0(B,C))) # label(redefinition_k7_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 275 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 276 (all A (-$T -> (all B (m1_subset_1(B,A) -> B = k8_subset_1(A))))) # label(d6_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 277 $T # label(t11_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 278 (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]. 4.39/4.76 279 (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]. 4.39/4.76 280 (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]. 4.39/4.76 281 (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]. 4.39/4.76 282 (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]. 4.39/4.76 283 (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]. 4.39/4.76 284 (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]. 4.39/4.76 285 (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]. 4.39/4.76 286 (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]. 4.39/4.76 287 $T # label(t45_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 288 (all A k2_subset_1(A) = A) # label(d4_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 289 (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]. 4.39/4.76 290 (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]. 4.39/4.76 291 (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]. 4.39/4.76 292 (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]. 4.39/4.76 293 $T # label(t27_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 294 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 295 (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]. 4.39/4.76 296 (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]. 4.39/4.76 297 (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]. 4.39/4.76 298 $T # label(t24_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 299 (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]. 4.39/4.76 300 $T # label(t13_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 301 (all A m1_subset_1(k1_xboole_0,k1_zfmisc_1(A))) # label(t4_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 302 (all A m1_subset_1(k8_subset_1(A),A)) # label(dt_k8_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 303 (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]. 4.39/4.76 304 $T # label(t19_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 305 $T # label(d1_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 306 (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]. 4.39/4.76 307 (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]. 4.39/4.76 308 (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]. 4.39/4.76 309 (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]. 4.39/4.76 310 (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]. 4.39/4.76 311 $T # label(t6_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 312 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 313 (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]. 4.39/4.76 314 (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]. 4.39/4.76 315 (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]. 4.39/4.76 316 (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]. 4.39/4.76 317 (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]. 4.39/4.76 318 (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]. 4.39/4.76 319 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 320 (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]. 4.39/4.76 321 (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]. 4.39/4.76 322 $T # label(t3_subset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 323 (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]. 4.39/4.76 324 (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]. 4.39/4.76 325 (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]. 4.39/4.76 326 (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]. 4.39/4.76 327 (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]. 4.39/4.76 328 (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]. 4.39/4.76 329 (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]. 4.39/4.76 330 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 331 (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]. 4.39/4.76 332 (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]. 4.39/4.76 333 (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]. 4.39/4.76 334 $T # label(t70_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 335 (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]. 4.39/4.76 336 (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]. 4.39/4.76 337 (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]. 4.39/4.76 338 (all A k8_relat_1(A,k1_xboole_0) = k1_xboole_0) # label(t138_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 339 (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]. 4.39/4.76 340 (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]. 4.39/4.76 341 $T # label(t7_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 342 (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]. 4.39/4.76 343 $T # label(t61_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 344 (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]. 4.39/4.76 345 (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]. 4.39/4.76 346 (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]. 4.39/4.76 347 (exists A (v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 348 (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]. 4.39/4.76 349 (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]. 4.39/4.76 350 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 351 $T # label(t8_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 352 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 353 (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]. 4.39/4.76 354 (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]. 4.39/4.76 355 (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]. 4.39/4.76 356 (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]. 4.39/4.76 357 (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]. 4.39/4.76 358 (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]. 4.39/4.76 359 (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]. 4.39/4.76 360 (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]. 4.39/4.76 361 (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]. 4.39/4.76 362 (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]. 4.39/4.76 363 (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]. 4.39/4.76 364 (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]. 4.39/4.76 365 (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]. 4.39/4.76 366 (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]. 4.39/4.76 367 $T # label(t114_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 368 (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]. 4.39/4.76 369 (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]. 4.39/4.76 370 (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]. 4.39/4.76 371 (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]. 4.39/4.76 372 (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]. 4.39/4.76 373 (exists A (v3_relat_1(A) & v1_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 374 (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]. 4.39/4.76 375 (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]. 4.39/4.76 376 $T # label(t58_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 377 (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]. 4.39/4.76 378 (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]. 4.39/4.76 379 (exists A (v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 380 $T # label(t83_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 381 (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]. 4.39/4.76 382 (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]. 4.39/4.76 383 (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]. 4.39/4.76 384 $T # label(t11_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 385 (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]. 4.39/4.76 386 (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]. 4.39/4.76 387 (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]. 4.39/4.76 388 (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]. 4.39/4.76 389 (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]. 4.39/4.76 390 $T # label(t85_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 391 (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]. 4.39/4.76 392 (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]. 4.39/4.76 393 (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]. 4.39/4.76 394 (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]. 4.39/4.76 395 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 396 (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]. 4.39/4.76 397 (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]. 4.39/4.76 398 (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]. 4.39/4.76 399 (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]. 4.39/4.76 400 (all A k10_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t172_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 401 (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]. 4.39/4.76 402 (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]. 4.39/4.76 403 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 404 (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]. 4.39/4.76 405 (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]. 4.39/4.76 406 (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]. 4.39/4.76 407 (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]. 4.39/4.76 408 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 409 (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]. 4.39/4.76 410 (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]. 4.39/4.76 411 (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]. 4.39/4.76 412 (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]. 4.39/4.76 413 $T # label(t164_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 414 (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]. 4.39/4.76 415 (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]. 4.39/4.76 416 (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]. 4.39/4.76 417 (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]. 4.39/4.76 418 (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]. 4.39/4.76 419 (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]. 4.39/4.76 420 (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]. 4.39/4.76 421 (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]. 4.39/4.76 422 (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]. 4.39/4.76 423 (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]. 4.39/4.76 424 $T # label(t57_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 425 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 426 $T # label(t162_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 427 (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]. 4.39/4.76 428 (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]. 4.39/4.76 429 (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]. 4.39/4.76 430 $T # label(t2_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.76 431 (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]. 4.39/4.76 432 (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]. 4.39/4.77 433 $T # label(t17_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 434 $T # label(t35_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 435 (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]. 4.39/4.77 436 (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]. 4.39/4.77 437 (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]. 4.39/4.77 438 (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]. 4.39/4.77 439 (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]. 4.39/4.77 440 (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]. 4.39/4.77 441 $T # label(t69_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 442 (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]. 4.39/4.77 443 (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]. 4.39/4.77 444 (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]. 4.39/4.77 445 (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]. 4.39/4.77 446 (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]. 4.39/4.77 447 (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]. 4.39/4.77 448 (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]. 4.39/4.77 449 (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]. 4.39/4.77 450 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(t6_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 451 (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]. 4.39/4.77 452 (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]. 4.39/4.77 453 (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]. 4.39/4.77 454 (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]. 4.39/4.77 455 (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]. 4.39/4.77 456 (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]. 4.39/4.77 457 (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]. 4.39/4.77 458 (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]. 4.39/4.77 459 (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]. 4.39/4.77 460 (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]. 4.39/4.77 461 (all A k1_xboole_0 = k9_relat_1(k1_xboole_0,A)) # label(t150_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 462 (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]. 4.39/4.77 463 (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]. 4.39/4.77 464 $T # label(t1_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 465 (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]. 4.39/4.77 466 (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]. 4.39/4.77 467 (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]. 4.39/4.77 468 (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]. 4.39/4.77 469 (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]. 4.39/4.77 470 $T # label(t12_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 471 (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]. 4.39/4.77 472 (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]. 4.39/4.77 473 $T # label(t63_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 474 (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]. 4.39/4.77 475 (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]. 4.39/4.77 476 (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]. 4.39/4.77 477 $T # label(t59_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 478 (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]. 4.39/4.77 479 (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]. 4.39/4.77 480 (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]. 4.39/4.77 481 (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]. 4.39/4.77 482 (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]. 4.39/4.77 483 $T # label(t142_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 484 (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]. 4.39/4.77 485 $T # label(t165_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 486 $T # label(t68_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 487 (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]. 4.39/4.77 488 (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]. 4.39/4.77 489 (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]. 4.39/4.77 490 (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]. 4.39/4.77 491 (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]. 4.39/4.77 492 (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]. 4.39/4.77 493 (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]. 4.39/4.77 494 (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]. 4.39/4.77 495 (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]. 4.39/4.77 496 $T # label(t42_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 497 (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]. 4.39/4.77 498 (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]. 4.39/4.77 499 (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]. 4.39/4.77 500 (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]. 4.39/4.77 501 (all A k1_xboole_0 = k7_relat_1(k1_xboole_0,A)) # label(t111_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 502 (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]. 4.39/4.77 503 (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]. 4.39/4.77 504 $T # label(t16_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 505 (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]. 4.39/4.77 506 $T # label(t84_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 507 (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]. 4.39/4.77 508 (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]. 4.39/4.77 509 (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]. 4.39/4.77 510 (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]. 4.39/4.77 511 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 512 (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]. 4.39/4.77 513 (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]. 4.39/4.77 514 $T # label(t36_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 515 (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]. 4.39/4.77 516 (all A k6_relat_1(A) = k4_relat_1(k6_relat_1(A))) # label(t72_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 517 (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]. 4.39/4.77 518 (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]. 4.39/4.77 519 (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]. 4.39/4.77 520 (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]. 4.39/4.77 521 (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]. 4.39/4.77 522 $T # label(t43_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 523 (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]. 4.39/4.77 524 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 525 (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]. 4.39/4.77 526 (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]. 4.39/4.77 527 (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]. 4.39/4.77 528 (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]. 4.39/4.77 529 (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]. 4.39/4.77 530 (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]. 4.39/4.77 531 (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]. 4.39/4.77 532 (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]. 4.39/4.77 533 (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]. 4.39/4.77 534 (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]. 4.39/4.77 535 (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]. 4.39/4.77 536 (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]. 4.39/4.77 537 (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]. 4.39/4.77 538 (all A all B v1_relat_1(k1_tarski(k4_tarski(A,B)))) # label(t4_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 539 (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]. 4.39/4.77 540 (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]. 4.39/4.77 541 (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]. 4.39/4.77 542 (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]. 4.39/4.77 543 (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]. 4.39/4.77 544 (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]. 4.39/4.77 545 (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]. 4.39/4.77 546 (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]. 4.39/4.77 547 (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]. 4.39/4.77 548 $T # label(t113_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 549 (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]. 4.39/4.77 550 (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]. 4.39/4.77 551 (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]. 4.39/4.77 552 (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]. 4.39/4.77 553 (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]. 4.39/4.77 554 (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]. 4.39/4.77 555 (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]. 4.39/4.77 556 (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]. 4.39/4.77 557 (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]. 4.39/4.77 558 (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]. 4.39/4.77 559 (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]. 4.39/4.77 560 $T # label(t141_relat_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 561 (all A k6_relat_1(A) = k2_funct_1(k6_relat_1(A))) # label(t67_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 562 (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]. 4.39/4.77 563 $T # label(t109_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 564 (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]. 4.39/4.77 565 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 566 (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]. 4.39/4.77 567 $T # label(t5_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 568 (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]. 4.39/4.77 569 $T # label(t103_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 570 $T # label(t69_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 571 (all A v2_funct_1(k6_relat_1(A))) # label(t52_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 572 (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]. 4.39/4.77 573 $T # label(t98_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 574 (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]. 4.39/4.77 575 (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]. 4.39/4.77 576 (exists A (v1_funct_1(A) & v1_xboole_0(A) & v1_relat_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 577 (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]. 4.39/4.77 578 $T # label(t132_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 579 $T # label(d2_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 580 (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]. 4.39/4.77 581 (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]. 4.39/4.77 582 $T # label(t39_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 583 $T # label(t30_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 584 (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]. 4.39/4.77 585 (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]. 4.39/4.77 586 $T # label(t130_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 587 $T # label(t119_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 588 $T # label(t31_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 589 $T # label(d6_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 590 $T # label(t24_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 591 $T # label(t111_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 592 (exists A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 593 (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]. 4.39/4.77 594 $T # label(d10_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 595 $T # label(t116_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 596 (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]. 4.39/4.77 597 $T # label(t140_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 598 $T # label(t135_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 599 (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]. 4.39/4.77 600 (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]. 4.39/4.77 601 $T # label(t134_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 602 (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]. 4.39/4.77 603 (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]. 4.39/4.77 604 (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]. 4.39/4.77 605 (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]. 4.39/4.77 606 (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]. 4.39/4.77 607 (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]. 4.39/4.77 608 (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]. 4.39/4.77 609 (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]. 4.39/4.77 610 $T # label(t4_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 611 $T # label(t45_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 612 $T # label(t36_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 613 $T # label(t80_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 614 (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]. 4.39/4.77 615 $T # label(t104_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 616 (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]. 4.39/4.77 617 $T # label(t95_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 618 (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]. 4.39/4.77 619 $T # label(t129_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 620 (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]. 4.39/4.77 621 $T # label(t102_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 622 $T # label(t106_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 623 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 624 $T # label(t11_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 625 (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]. 4.39/4.77 626 $T # label(t41_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 627 (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]. 4.39/4.77 628 (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]. 4.39/4.77 629 $T # label(t93_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 630 (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]. 4.39/4.77 631 $T # label(t74_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 632 (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]. 4.39/4.77 633 (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]. 4.39/4.77 634 (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]. 4.39/4.77 635 (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]. 4.39/4.77 636 (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]. 4.39/4.77 637 (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]. 4.39/4.77 638 (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]. 4.39/4.77 639 $T # label(d7_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 640 (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]. 4.39/4.77 641 (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]. 4.39/4.77 642 $T # label(t29_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 643 (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]. 4.39/4.77 644 $T # label(t110_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 645 (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]. 4.39/4.77 646 (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]. 4.39/4.77 647 (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]. 4.39/4.77 648 (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]. 4.39/4.77 649 (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]. 4.39/4.77 650 (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]. 4.39/4.77 651 $T # label(t1_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 652 $T # label(t136_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 653 (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]. 4.39/4.77 654 (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]. 4.39/4.77 655 $T # label(t78_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 656 (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]. 4.39/4.77 657 (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]. 4.39/4.77 658 $T # label(t115_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 659 (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]. 4.39/4.77 660 $T # label(t6_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 661 $T # label(t108_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 662 (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]. 4.39/4.77 663 (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]. 4.39/4.77 664 (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]. 4.39/4.77 665 (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]. 4.39/4.77 666 (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]. 4.39/4.77 667 $T # label(d3_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 668 (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]. 4.39/4.77 669 (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]. 4.39/4.77 670 (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]. 4.39/4.77 671 (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]. 4.39/4.77 672 $T # label(t77_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 673 $T # label(t114_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.77 674 (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]. 4.39/4.78 675 $T # label(t131_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 676 (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]. 4.39/4.78 677 $T # label(t3_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 678 (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]. 4.39/4.78 679 (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]. 4.39/4.78 680 (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]. 4.39/4.78 681 $T # label(t75_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 682 (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]. 4.39/4.78 683 $T # label(t96_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 684 (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]. 4.39/4.78 685 (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]. 4.39/4.78 686 (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]. 4.39/4.78 687 (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]. 4.39/4.78 688 (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]. 4.39/4.78 689 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 690 (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]. 4.39/4.78 691 (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]. 4.39/4.78 692 (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]. 4.39/4.78 693 $T # label(t91_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 694 $T # label(t127_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 695 $T # label(t81_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 696 (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]. 4.39/4.78 697 (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]. 4.39/4.78 698 (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]. 4.39/4.78 699 (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]. 4.39/4.78 700 (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]. 4.39/4.78 701 $T # label(t128_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 702 $T # label(t133_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 703 (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]. 4.39/4.78 704 $T # label(t107_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 705 (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]. 4.39/4.78 706 (exists A (v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 707 $T # label(t88_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 708 (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]. 4.39/4.78 709 (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]. 4.39/4.78 710 (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]. 4.39/4.78 711 (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]. 4.39/4.78 712 $T # label(t113_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 713 (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]. 4.39/4.78 714 $T # label(t83_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 715 $T # label(t7_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 716 (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]. 4.39/4.78 717 (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]. 4.39/4.78 718 (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]. 4.39/4.78 719 $T # label(t94_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 720 $T # label(t101_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 721 (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]. 4.39/4.78 722 $T # label(t32_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 723 (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]. 4.39/4.78 724 $T # label(t13_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 725 (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]. 4.39/4.78 726 (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]. 4.39/4.78 727 $T # label(t141_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 728 (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]. 4.39/4.78 729 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 730 (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]. 4.39/4.78 731 $T # label(t92_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 732 (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]. 4.39/4.78 733 $T # label(t90_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 734 (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]. 4.39/4.78 735 $T # label(t100_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 736 (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]. 4.39/4.78 737 $T # label(t79_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 738 (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]. 4.39/4.78 739 $T # label(t10_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 740 $T # label(t112_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 741 (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]. 4.39/4.78 742 (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]. 4.39/4.78 743 $T # label(t28_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 744 (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]. 4.39/4.78 745 (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]. 4.39/4.78 746 (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]. 4.39/4.78 747 $T # label(t26_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 748 (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]. 4.39/4.78 749 (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]. 4.39/4.78 750 (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]. 4.39/4.78 751 (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]. 4.39/4.78 752 (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]. 4.39/4.78 753 (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]. 4.39/4.78 754 (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]. 4.39/4.78 755 $T # label(d11_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 756 $T # label(t105_funct_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 757 (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]. 4.39/4.78 758 (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]. 4.39/4.78 759 $T # label(t5_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 760 (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]. 4.39/4.78 761 (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]. 4.39/4.78 762 $T # label(t16_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 763 (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]. 4.39/4.78 764 (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]. 4.39/4.78 765 $T # label(t4_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 766 (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]. 4.39/4.78 767 (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]. 4.39/4.78 768 (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]. 4.39/4.78 769 (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]. 4.39/4.78 770 $T # label(t3_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 771 (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]. 4.39/4.78 772 (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]. 4.39/4.78 773 (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]. 4.39/4.78 774 (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]. 4.39/4.78 775 $T # label(t2_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 776 (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]. 4.39/4.78 777 (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]. 4.39/4.78 778 (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]. 4.39/4.78 779 (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]. 4.39/4.78 780 $T # label(t21_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 781 $T # label(t9_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 782 (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]. 4.39/4.78 783 (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]. 4.39/4.78 784 $T # label(t11_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 785 (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]. 4.39/4.78 786 (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]. 4.39/4.78 787 (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]. 4.39/4.78 788 $T # label(t13_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 789 (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]. 4.39/4.78 790 (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]. 4.39/4.78 791 (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]. 4.39/4.78 792 $T # label(t8_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 793 $T # label(t14_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 794 (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]. 4.39/4.78 795 (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]. 4.39/4.78 796 (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]. 4.39/4.78 797 $T # label(t1_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 798 $T # label(t15_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 799 (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]. 4.39/4.78 800 (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]. 4.39/4.78 801 (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]. 4.39/4.78 802 $T # label(t7_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 803 (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]. 4.39/4.78 804 (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]. 4.39/4.78 805 (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]. 4.39/4.78 806 (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]. 4.39/4.78 807 (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]. 4.39/4.78 808 $T # label(t12_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 809 (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]. 4.39/4.78 810 $T # label(t6_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 811 (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]. 4.39/4.78 812 (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]. 4.39/4.78 813 (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]. 4.39/4.78 814 (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]. 4.39/4.78 815 (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]. 4.39/4.78 816 $T # label(t10_relat_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 817 (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]. 4.39/4.78 818 (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]. 4.39/4.78 819 (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]. 4.39/4.78 820 (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]. 4.39/4.78 821 (exists A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A))) # label(rc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 822 (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]. 4.39/4.78 823 (all A exists B m1_ordinal1(B,A)) # label(existence_m1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 824 (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]. 4.39/4.78 825 (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]. 4.39/4.78 826 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 827 (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]. 4.39/4.78 828 (all A k2_xboole_0(A,k1_tarski(A)) = k1_ordinal1(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 829 (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]. 4.39/4.78 830 $T # label(t43_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 831 (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]. 4.39/4.78 832 (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]. 4.39/4.78 833 (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]. 4.39/4.78 834 (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]. 4.39/4.78 835 $T # label(t11_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 836 (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]. 4.39/4.78 837 (exists A (v1_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A) & -v1_xboole_0(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 838 $T # label(t18_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 839 (all A (v1_ordinal1(A) & v2_ordinal1(A) <-> v3_ordinal1(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 840 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> v3_ordinal1(A)))) # label(t23_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 841 (all A all B -(r1_tarski(B,A) & r2_hidden(A,B))) # label(t7_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 842 (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]. 4.39/4.78 843 (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]. 4.39/4.78 844 (all A (v1_ordinal1(A) & v2_ordinal1(A) -> v3_ordinal1(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 845 (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]. 4.39/4.78 846 $T # label(t28_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 847 (all A (v3_ordinal1(A) -> v2_ordinal1(A) & v1_ordinal1(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 848 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r3_xboole_0(A,B))))) # label(t25_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 849 (all A -(all B (v3_ordinal1(B) -> r2_hidden(B,A)))) # label(t38_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 850 $T # label(t17_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 851 (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]. 4.39/4.78 852 (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]. 4.39/4.78 853 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 854 (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]. 4.39/4.78 855 $T # label(t44_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 856 $T # label(t1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 857 $T # label(t2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 858 (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]. 4.39/4.78 859 (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]. 4.39/4.78 860 (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]. 4.39/4.78 861 (all A k1_ordinal1(A) != A) # label(t14_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 862 (all A all B (k1_ordinal1(B) = k1_ordinal1(A) -> A = B)) # label(t12_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 863 (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]. 4.39/4.78 864 $T # label(t16_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 865 (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]. 4.39/4.78 866 (all A m1_ordinal1(k1_xboole_0,A)) # label(t45_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 867 $T # label(d5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 868 (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]. 4.39/4.78 869 (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]. 4.39/4.78 870 (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]. 4.39/4.78 871 (all A -(all B (v3_ordinal1(B) <-> r2_hidden(B,A)))) # label(t37_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 872 (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]. 4.39/4.78 873 (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]. 4.39/4.78 874 (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]. 4.39/4.78 875 $T # label(t20_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 876 (all A r2_hidden(A,k1_ordinal1(A))) # label(t10_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 877 (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]. 4.39/4.78 878 (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]. 4.39/4.78 879 (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]. 4.39/4.78 880 (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]. 4.39/4.78 881 (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]. 4.39/4.78 882 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 883 (all A (k3_tarski(A) = A <-> v4_ordinal1(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 884 $T # label(t40_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 885 (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]. 4.39/4.78 886 (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]. 4.39/4.78 887 $T # label(t9_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 888 $T # label(t8_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 889 (all A -v1_xboole_0(k1_ordinal1(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 890 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)))) # label(t30_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 891 (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]. 4.39/4.78 892 (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]. 4.39/4.78 893 $T # label(t15_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 894 (all A (v1_xboole_0(A) -> v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 895 (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]. 4.39/4.78 896 (all A (v1_ordinal1(A) <-> (all B (r2_hidden(B,A) -> r1_tarski(B,A))))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 897 (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]. 4.39/4.78 898 (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]. 4.39/4.78 899 (all A (v3_ordinal1(A) -> v3_ordinal1(k1_ordinal1(A)))) # label(t29_ordinal1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 900 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]. 4.39/4.78 901 (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]. 4.39/4.78 902 (all A m2_relset_1(k6_relat_1(A),A,A)) # label(t29_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 903 (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]. 4.39/4.78 904 (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]. 4.39/4.78 905 (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]. 4.39/4.78 906 (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]. 4.39/4.78 907 (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]. 4.39/4.78 908 (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]. 4.39/4.78 909 (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]. 4.39/4.78 910 (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]. 4.39/4.78 911 (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]. 4.39/4.78 912 $T # label(t43_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 913 $T # label(t5_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 914 (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]. 4.39/4.78 915 (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]. 4.39/4.78 916 $T # label(t44_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.78 917 (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]. 4.39/4.78 918 (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]. 4.39/4.78 919 (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]. 4.39/4.79 920 $T # label(t20_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 921 (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]. 4.39/4.79 922 (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]. 4.39/4.79 923 (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]. 4.39/4.79 924 (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]. 4.39/4.79 925 (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]. 4.39/4.79 926 (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]. 4.39/4.79 927 (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]. 4.39/4.79 928 (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]. 4.39/4.79 929 (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]. 4.39/4.79 930 (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]. 4.39/4.79 931 (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]. 4.39/4.79 932 (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]. 4.39/4.79 933 $T # label(t42_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 934 (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]. 4.39/4.79 935 (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]. 4.39/4.79 936 $T # label(t7_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 937 $T # label(t40_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 938 (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]. 4.39/4.79 939 (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]. 4.39/4.79 940 (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]. 4.39/4.79 941 (all A all B m2_relset_1(k1_xboole_0,A,B)) # label(t25_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 942 (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]. 4.39/4.79 943 (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]. 4.39/4.79 944 $T # label(t18_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 945 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 946 (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]. 4.39/4.79 947 (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]. 4.39/4.79 948 (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]. 4.39/4.79 949 (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]. 4.39/4.79 950 (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]. 4.39/4.79 951 (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]. 4.39/4.79 952 (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]. 4.39/4.79 953 $T # label(t1_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 954 (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]. 4.39/4.79 955 (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]. 4.39/4.79 956 (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]. 4.39/4.79 957 (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]. 4.39/4.79 958 (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]. 4.39/4.79 959 (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]. 4.39/4.79 960 (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]. 4.39/4.79 961 $T # label(t2_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 962 (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]. 4.39/4.79 963 (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]. 4.39/4.79 964 $T # label(t21_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 965 (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]. 4.39/4.79 966 (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]. 4.39/4.79 967 (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]. 4.39/4.79 968 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 969 (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]. 4.39/4.79 970 $T # label(t37_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 971 (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]. 4.39/4.79 972 (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]. 4.39/4.79 973 (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]. 4.39/4.79 974 (all A r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A))) # label(t28_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 975 (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]. 4.39/4.79 976 (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]. 4.39/4.79 977 (all A (-v1_xboole_0(A) -> k6_relat_1(A) != k1_xboole_0)) # label(t46_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 978 (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]. 4.39/4.79 979 (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]. 4.39/4.79 980 $T # label(t41_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 981 (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]. 4.39/4.79 982 (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]. 4.39/4.79 983 (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]. 4.39/4.79 984 (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]. 4.39/4.79 985 $T # label(t3_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 986 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 987 (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]. 4.39/4.79 988 (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]. 4.39/4.79 989 (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]. 4.39/4.79 990 (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]. 4.39/4.79 991 $T # label(t177_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 992 (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]. 4.39/4.79 993 (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]. 4.39/4.79 994 $T # label(d2_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 995 $T # label(t90_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 996 (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]. 4.39/4.79 997 (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]. 4.39/4.79 998 (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]. 4.39/4.79 999 $T # label(t166_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1000 (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]. 4.39/4.79 1001 $T # label(t118_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1002 $T # label(t42_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1003 (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]. 4.39/4.79 1004 $T # label(t149_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1005 (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]. 4.39/4.79 1006 (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]. 4.39/4.79 1007 $T # label(t151_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1008 (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]. 4.39/4.79 1009 $T # label(t12_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1010 (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]. 4.39/4.79 1011 (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]. 4.39/4.79 1012 (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]. 4.39/4.79 1013 $T # label(t182_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1014 (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]. 4.39/4.79 1015 $T # label(t111_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1016 $T # label(t133_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1017 (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]. 4.39/4.79 1018 (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]. 4.39/4.79 1019 $T # label(t161_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1020 $T # label(t152_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1021 (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]. 4.39/4.79 1022 (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]. 4.39/4.79 1023 $T # label(t75_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1024 (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]. 4.39/4.79 1025 (all A all B k3_partfun1(k1_xboole_0,A,B) = k1_xboole_0) # label(t91_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1026 (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]. 4.39/4.79 1027 $T # label(d1_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1028 (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]. 4.39/4.79 1029 (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]. 4.39/4.79 1030 (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]. 4.39/4.79 1031 (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]. 4.39/4.79 1032 (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]. 4.39/4.79 1033 (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]. 4.39/4.79 1034 (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]. 4.39/4.79 1035 $T # label(t150_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1036 $T # label(t165_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1037 (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]. 4.39/4.79 1038 (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]. 4.39/4.79 1039 (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]. 4.39/4.79 1040 $T # label(t20_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1041 $T # label(t40_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1042 (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]. 4.39/4.79 1043 (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]. 4.39/4.79 1044 $T # label(t137_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1045 (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]. 4.39/4.79 1046 (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]. 4.39/4.79 1047 (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]. 4.39/4.79 1048 (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]. 4.39/4.79 1049 (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]. 4.39/4.79 1050 (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]. 4.39/4.79 1051 $T # label(t170_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1052 $T # label(t179_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1053 (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]. 4.39/4.79 1054 $T # label(t108_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1055 $T # label(t155_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1056 (all A k1_tarski(k1_xboole_0) = k4_partfun1(A,k1_xboole_0)) # label(t123_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1057 (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]. 4.39/4.79 1058 (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]. 4.39/4.79 1059 (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]. 4.39/4.79 1060 $T # label(t23_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1061 (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]. 4.39/4.79 1062 (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]. 4.39/4.79 1063 (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]. 4.39/4.79 1064 $T # label(t164_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1065 (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]. 4.39/4.79 1066 $T # label(t52_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1067 $T # label(t16_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1068 $T # label(t6_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1069 (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]. 4.39/4.79 1070 (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]. 4.39/4.79 1071 $T # label(t173_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1072 (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]. 4.39/4.79 1073 (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]. 4.39/4.79 1074 $T # label(t134_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1075 $T # label(t22_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1076 (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]. 4.39/4.79 1077 (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]. 4.39/4.79 1078 $T # label(t15_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1079 $T # label(t183_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1080 (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]. 4.39/4.79 1081 (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]. 4.39/4.79 1082 (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]. 4.39/4.79 1083 $T # label(t110_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1084 $T # label(t129_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1085 (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]. 4.39/4.79 1086 $T # label(t124_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1087 (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]. 4.39/4.79 1088 (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]. 4.39/4.79 1089 (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]. 4.39/4.79 1090 (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]. 4.39/4.79 1091 (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]. 4.39/4.79 1092 (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]. 4.39/4.79 1093 (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]. 4.39/4.79 1094 (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]. 4.39/4.79 1095 (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]. 4.39/4.79 1096 (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]. 4.39/4.79 1097 (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]. 4.39/4.79 1098 (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]. 4.39/4.79 1099 (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]. 4.39/4.79 1100 (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]. 4.39/4.79 1101 (all A k4_partfun1(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t122_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1102 (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]. 4.39/4.79 1103 (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]. 4.39/4.79 1104 (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]. 4.39/4.79 1105 (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]. 4.39/4.79 1106 $T # label(t98_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1107 (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]. 4.39/4.79 1108 (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]. 4.39/4.79 1109 $T # label(t106_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1110 $T # label(t184_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1111 (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]. 4.39/4.79 1112 $T # label(t5_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1113 (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]. 4.39/4.79 1114 $T # label(t167_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1115 $T # label(t105_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1116 $T # label(t181_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1117 (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]. 4.39/4.79 1118 (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]. 4.39/4.79 1119 (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]. 4.39/4.79 1120 $T # label(t13_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1121 $T # label(t102_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1122 (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]. 4.39/4.79 1123 (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]. 4.39/4.79 1124 (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]. 4.39/4.79 1125 (all A k6_relat_1(A) = k6_partfun1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1126 (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]. 4.39/4.79 1127 (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]. 4.39/4.79 1128 (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]. 4.39/4.79 1129 (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]. 4.39/4.79 1130 $T # label(t160_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1131 (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]. 4.39/4.79 1132 $T # label(t107_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1133 $T # label(t18_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1134 (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]. 4.39/4.79 1135 (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]. 4.39/4.79 1136 $T # label(t156_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1137 (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]. 4.39/4.79 1138 (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]. 4.39/4.79 1139 (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]. 4.39/4.79 1140 $T # label(t89_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1141 (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]. 4.39/4.79 1142 (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]. 4.39/4.79 1143 (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]. 4.39/4.79 1144 (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]. 4.39/4.79 1145 (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]. 4.39/4.79 1146 (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]. 4.39/4.79 1147 $T # label(t157_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.79 1148 (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]. 4.39/4.79 1149 (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]. 4.39/4.80 1150 $T # label(t104_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1151 $T # label(t4_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1152 $T # label(t101_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1153 (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]. 4.39/4.80 1154 $T # label(t103_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1155 (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]. 4.39/4.80 1156 (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]. 4.39/4.80 1157 $T # label(dt_k4_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1158 $T # label(t154_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1159 (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]. 4.39/4.80 1160 (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]. 4.39/4.80 1161 $T # label(t109_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1162 (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]. 4.39/4.80 1163 (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]. 4.39/4.80 1164 (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]. 4.39/4.80 1165 (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]. 4.39/4.80 1166 (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]. 4.39/4.80 1167 (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]. 4.39/4.80 1168 (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]. 4.39/4.80 1169 $T # label(t8_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1170 (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]. 4.39/4.80 1171 $T # label(t153_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1172 $T # label(t163_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1173 (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]. 4.39/4.80 1174 $T # label(t7_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1175 $T # label(t19_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1176 $T # label(t14_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1177 $T # label(t11_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1178 (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]. 4.39/4.80 1179 (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]. 4.39/4.80 1180 (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]. 4.39/4.80 1181 (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]. 4.39/4.80 1182 $T # label(dt_k5_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1183 (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]. 4.39/4.80 1184 $T # label(t178_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1185 (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]. 4.39/4.80 1186 $T # label(t48_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1187 (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]. 4.39/4.80 1188 (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]. 4.39/4.80 1189 $T # label(t50_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1190 (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]. 4.39/4.80 1191 $T # label(t100_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1192 $T # label(t159_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1193 (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]. 4.39/4.80 1194 (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]. 4.39/4.80 1195 $T # label(t17_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1196 $T # label(t180_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1197 $T # label(t41_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1198 $T # label(t21_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1199 (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]. 4.39/4.80 1200 (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]. 4.39/4.80 1201 $T # label(t9_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1202 $T # label(t88_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1203 (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]. 4.39/4.80 1204 (all A all B -v1_xboole_0(k4_partfun1(A,B))) # label(fc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1205 $T # label(t52_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1206 $T # label(t63_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1207 $T # label(t117_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1208 (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]. 4.39/4.80 1209 (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]. 4.39/4.80 1210 (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]. 4.39/4.80 1211 (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]. 4.39/4.80 1212 (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]. 4.39/4.80 1213 (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]. 4.39/4.80 1214 (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]. 4.39/4.80 1215 (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]. 4.39/4.80 1216 $T # label(t68_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1217 $T # label(t56_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1218 $T # label(t103_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1219 (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]. 4.39/4.80 1220 $T # label(t101_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1221 $T # label(t39_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1222 (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]. 4.39/4.80 1223 $T # label(t58_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1224 (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]. 4.39/4.80 1225 (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]. 4.39/4.80 1226 $T # label(t114_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1227 (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]. 4.39/4.80 1228 $T # label(t90_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1229 $T # label(t112_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1230 (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]. 4.39/4.80 1231 (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]. 4.39/4.80 1232 $T # label(t2_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1233 (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]. 4.39/4.80 1234 (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]. 4.39/4.80 1235 $T # label(t57_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1236 (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]. 4.39/4.80 1237 $T # label(t144_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1238 (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]. 4.39/4.80 1239 $T # label(t105_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1240 (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]. 4.39/4.80 1241 $T # label(t104_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1242 (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]. 4.39/4.80 1243 $T # label(t10_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1244 (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]. 4.39/4.80 1245 (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]. 4.39/4.80 1246 $T # label(t93_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1247 (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]. 4.39/4.80 1248 (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]. 4.39/4.80 1249 (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]. 4.39/4.80 1250 (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]. 4.39/4.80 1251 (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]. 4.39/4.80 1252 $T # label(t122_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1253 (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]. 4.39/4.80 1254 $T # label(t89_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1255 $T # label(t33_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1256 (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]. 4.39/4.80 1257 (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]. 4.39/4.80 1258 (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]. 4.39/4.80 1259 (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]. 4.39/4.80 1260 (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]. 4.39/4.80 1261 (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]. 4.39/4.80 1262 (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]. 4.39/4.80 1263 (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]. 4.39/4.80 1264 (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]. 4.39/4.80 1265 (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]. 4.39/4.80 1266 $T # label(t72_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1267 (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]. 4.39/4.80 1268 (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]. 4.39/4.80 1269 (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]. 4.39/4.80 1270 $T # label(t78_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1271 (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]. 4.39/4.80 1272 (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]. 4.39/4.80 1273 (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]. 4.39/4.80 1274 (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]. 4.39/4.80 1275 $T # label(t100_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1276 (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]. 4.39/4.80 1277 (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]. 4.39/4.80 1278 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]. 4.39/4.80 1279 $T # label(t109_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1280 (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]. 4.39/4.80 1281 $T # label(t125_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1282 (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]. 4.39/4.80 1283 (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]. 4.39/4.80 1284 $T # label(t15_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1285 (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]. 4.39/4.80 1286 (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]. 4.39/4.80 1287 (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]. 4.39/4.80 1288 (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]. 4.39/4.80 1289 $T # label(t137_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1290 $T # label(t139_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1291 (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]. 4.39/4.80 1292 (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]. 4.39/4.80 1293 (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]. 4.39/4.80 1294 (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]. 4.39/4.80 1295 (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]. 4.39/4.80 1296 (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]. 4.39/4.80 1297 (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]. 4.39/4.80 1298 (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]. 4.39/4.80 1299 (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]. 4.39/4.80 1300 (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]. 4.39/4.80 1301 (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]. 4.39/4.80 1302 (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]. 4.39/4.80 1303 (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]. 4.39/4.80 1304 (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]. 4.39/4.80 1305 $T # label(t13_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1306 $T # label(t84_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1307 $T # label(t54_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1308 (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]. 4.39/4.80 1309 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1310 $T # label(t102_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1311 (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]. 4.39/4.80 1312 (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]. 4.39/4.80 1313 (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]. 4.39/4.80 1314 (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]. 4.39/4.80 1315 (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]. 4.39/4.80 1316 (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]. 4.39/4.80 1317 (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]. 4.39/4.80 1318 (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]. 4.39/4.80 1319 (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]. 4.39/4.80 1320 (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]. 4.39/4.80 1321 $T # label(t129_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1322 (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]. 4.39/4.80 1323 (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]. 4.39/4.80 1324 (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]. 4.39/4.80 1325 $T # label(t128_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1326 (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]. 4.39/4.80 1327 (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]. 4.39/4.80 1328 $T # label(t150_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1329 (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]. 4.39/4.80 1330 (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]. 4.39/4.80 1331 $T # label(t98_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1332 (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]. 4.39/4.80 1333 $T # label(t42_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1334 (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]. 4.39/4.80 1335 (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]. 4.39/4.80 1336 (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]. 4.39/4.80 1337 $T # label(t127_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1338 (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]. 4.39/4.80 1339 $T # label(t138_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1340 (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]. 4.39/4.80 1341 (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]. 4.39/4.80 1342 $T # label(t126_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1343 (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]. 4.39/4.80 1344 $T # label(t157_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1345 $T # label(t71_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.80 1346 (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]. 4.39/4.80 1347 (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]. 4.39/4.80 1348 (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]. 4.39/4.80 1349 (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]. 4.39/4.80 1350 (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]. 4.39/4.80 1351 (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]. 4.39/4.81 1352 (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]. 4.39/4.81 1353 (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]. 4.39/4.81 1354 $T # label(t97_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1355 $T # label(t124_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1356 $T # label(t96_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1357 $T # label(t91_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1358 $T # label(t99_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1359 $T # label(t69_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1360 (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]. 4.39/4.81 1361 $T # label(t147_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1362 $T # label(t140_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1363 (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]. 4.39/4.81 1364 (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]. 4.39/4.81 1365 (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]. 4.39/4.81 1366 $T # label(t94_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1367 (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]. 4.39/4.81 1368 (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]. 4.39/4.81 1369 (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]. 4.39/4.81 1370 (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]. 4.39/4.81 1371 (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]. 4.39/4.81 1372 (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]. 4.39/4.81 1373 $T # label(t95_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1374 (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]. 4.39/4.81 1375 (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]. 4.39/4.81 1376 (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]. 4.39/4.81 1377 $T # label(t80_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1378 (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]. 4.39/4.81 1379 (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]. 4.39/4.81 1380 (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]. 4.39/4.81 1381 (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]. 4.39/4.81 1382 $T # label(t110_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1383 (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]. 4.39/4.81 1384 (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]. 4.39/4.81 1385 (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]. 4.39/4.81 1386 (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]. 4.39/4.81 1387 $T # label(t111_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1388 $T # label(t1_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1389 (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]. 4.39/4.81 1390 (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]. 4.39/4.81 1391 (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]. 4.39/4.81 1392 (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]. 4.39/4.81 1393 (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]. 4.39/4.81 1394 (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]. 4.39/4.81 1395 (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]. 4.39/4.81 1396 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1397 (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]. 4.39/4.81 1398 $T # label(t163_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1399 (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]. 4.39/4.81 1400 (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]. 4.39/4.81 1401 $T # label(t106_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1402 $T # label(t123_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1403 (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]. 4.39/4.81 1404 (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]. 4.39/4.81 1405 (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]. 4.39/4.81 1406 $T # label(t81_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1407 (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]. 4.39/4.81 1408 (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]. 4.39/4.81 1409 (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]. 4.39/4.81 1410 (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]. 4.39/4.81 1411 (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]. 4.39/4.81 1412 $T # label(t107_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1413 $T # label(t108_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1414 (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]. 4.39/4.81 1415 $T # label(t153_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1416 $T # label(t135_funct_2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1417 (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]. 4.39/4.81 1418 (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]. 4.39/4.81 1419 $T # label(t4_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1420 $T # label(t10_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1421 (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]. 4.39/4.81 1422 (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]. 4.39/4.81 1423 (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]. 4.39/4.81 1424 (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]. 4.39/4.81 1425 (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]. 4.39/4.81 1426 $T # label(t21_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1427 (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]. 4.39/4.81 1428 (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]. 4.39/4.81 1429 (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]. 4.39/4.81 1430 (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]. 4.39/4.81 1431 $T # label(t8_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1432 (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]. 4.39/4.81 1433 (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]. 4.39/4.81 1434 (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]. 4.39/4.81 1435 (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]. 4.39/4.81 1436 (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]. 4.39/4.81 1437 (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]. 4.39/4.81 1438 (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]. 4.39/4.81 1439 (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]. 4.39/4.81 1440 (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]. 4.39/4.81 1441 $T # label(t19_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1442 (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]. 4.39/4.81 1443 $T # label(t22_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1444 (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]. 4.39/4.81 1445 (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]. 4.39/4.81 1446 $T # label(t7_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1447 (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]. 4.39/4.81 1448 $T # label(t3_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1449 (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]. 4.39/4.81 1450 (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]. 4.39/4.81 1451 (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]. 4.39/4.81 1452 (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]. 4.39/4.81 1453 $T # label(t9_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1454 $T # label(t6_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1455 (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]. 4.39/4.81 1456 $T # label(t20_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1457 (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]. 4.39/4.81 1458 (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]. 4.39/4.81 1459 (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]. 4.39/4.81 1460 (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]. 4.39/4.81 1461 (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]. 4.39/4.81 1462 (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]. 4.39/4.81 1463 $T # label(t1_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1464 (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]. 4.39/4.81 1465 $T # label(t5_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1466 (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]. 4.39/4.81 1467 (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]. 4.39/4.81 1468 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1469 (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]. 4.39/4.81 1470 (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]. 4.39/4.81 1471 (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]. 4.39/4.81 1472 (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]. 4.39/4.81 1473 (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]. 4.39/4.81 1474 (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]. 4.39/4.81 1475 (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]. 4.39/4.81 1476 (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]. 4.39/4.81 1477 (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]. 4.39/4.81 1478 (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]. 4.39/4.81 1479 (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]. 4.39/4.81 1480 (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]. 4.39/4.81 1481 (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]. 4.39/4.81 1482 (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]. 4.39/4.81 1483 (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]. 4.39/4.81 1484 (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]. 4.39/4.81 1485 (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]. 4.39/4.81 1486 (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]. 4.39/4.81 1487 (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]. 4.39/4.81 1488 (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]. 4.39/4.81 1489 (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]. 4.39/4.81 1490 (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]. 4.39/4.81 1491 (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]. 4.39/4.81 1492 (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]. 4.39/4.81 1493 (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]. 4.39/4.81 1494 (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]. 4.39/4.81 1495 (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]. 4.39/4.81 1496 $T # label(t8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1497 (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]. 4.39/4.81 1498 (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]. 4.39/4.81 1499 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A))) # label(rc1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1500 $T # label(t5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.81 1501 (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]. 4.39/4.81 1502 (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]. 4.39/4.81 1503 (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]. 4.39/4.81 1504 (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]. 4.39/4.81 1505 (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]. 4.39/4.81 1506 (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]. 4.39/4.81 1507 (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]. 4.39/4.82 1508 (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]. 4.39/4.82 1509 (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]. 4.39/4.82 1510 (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]. 4.39/4.82 1511 (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]. 4.39/4.82 1512 (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]. 4.39/4.82 1513 (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]. 4.39/4.82 1514 $T # label(dt_k2_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1515 (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]. 4.39/4.82 1516 (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]. 4.39/4.82 1517 (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]. 4.39/4.82 1518 (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]. 4.39/4.82 1519 (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]. 4.39/4.82 1520 $T # label(t40_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1521 $T # label(dt_k3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1522 (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]. 4.39/4.82 1523 (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]. 4.39/4.82 1524 (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]. 4.39/4.82 1525 (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]. 4.39/4.82 1526 (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]. 4.39/4.82 1527 (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]. 4.39/4.82 1528 (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]. 4.39/4.82 1529 (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]. 4.39/4.82 1530 (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]. 4.39/4.82 1531 (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]. 4.39/4.82 1532 (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]. 4.39/4.82 1533 (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]. 4.39/4.82 1534 (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]. 4.39/4.82 1535 (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]. 4.39/4.82 1536 (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]. 4.39/4.82 1537 (all A k1_funcop_1(k12_funct_3(A)) = k12_funct_3(A)) # label(t9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1538 (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]. 4.39/4.82 1539 (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]. 4.39/4.82 1540 (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]. 4.39/4.82 1541 (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]. 4.39/4.82 1542 (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]. 4.39/4.82 1543 (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]. 4.39/4.82 1544 (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]. 4.39/4.82 1545 (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]. 4.39/4.82 1546 (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]. 4.39/4.82 1547 (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]. 4.39/4.82 1548 (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]. 4.39/4.82 1549 $T # label(dt_k4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1550 (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]. 4.39/4.82 1551 (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]. 4.39/4.82 1552 (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]. 4.39/4.82 1553 (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]. 4.39/4.82 1554 (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]. 4.39/4.82 1555 $T # label(t50_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1556 (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]. 4.39/4.82 1557 (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]. 4.39/4.82 1558 (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]. 4.39/4.82 1559 (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]. 4.39/4.82 1560 (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]. 4.39/4.82 1561 (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]. 4.39/4.82 1562 $T # label(t62_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1563 (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]. 4.39/4.82 1564 (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]. 4.39/4.82 1565 (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]. 4.39/4.82 1566 $T # label(t68_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1567 (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]. 4.39/4.82 1568 (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]. 4.39/4.82 1569 (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]. 4.39/4.82 1570 (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]. 4.39/4.82 1571 (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]. 4.39/4.82 1572 (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]. 4.39/4.82 1573 (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]. 4.39/4.82 1574 (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]. 4.39/4.82 1575 $T # label(t33_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1576 (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]. 4.39/4.82 1577 (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]. 4.39/4.82 1578 (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]. 4.39/4.82 1579 (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]. 4.39/4.82 1580 (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]. 4.39/4.82 1581 $T # label(dt_k5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1582 (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]. 4.39/4.82 1583 (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]. 4.39/4.82 1584 (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]. 4.39/4.82 1585 (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]. 4.39/4.82 1586 $T # label(t12_funcop_1) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1587 (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]. 4.39/4.82 1588 (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]. 4.39/4.82 1589 (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]. 4.39/4.82 1590 (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]. 4.39/4.82 1591 (all A (v3_ordinal1(A) -> (all B (m1_ordinal1(B,A) -> v1_ordinal2(B))))) # label(cc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1592 (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]. 4.39/4.82 1593 $T # label(t18_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.39/4.82 1594 (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]. 4.89/4.94 1595 (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]. 4.89/4.94 1596 (all A v3_ordinal1(k7_ordinal2(A))) # label(dt_k7_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.94 1597 (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]. 4.89/4.94 1598 (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]. 4.89/4.94 1599 (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]. 4.89/4.94 1600 (all A (v3_ordinal1(A) -> A = k3_tarski(k1_ordinal1(A)))) # label(t2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.94 1601 (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]. 4.89/4.94 1602 (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]. 4.89/4.94 1603 (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]. 4.89/4.94 1604 $T # label(t33_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.94 1605 (all A (v3_ordinal1(A) -> r1_ordinal1(k3_tarski(A),A))) # label(t5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.95 1606 $T # label(t41_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.95 1607 (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]. 4.89/4.95 1608 (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]. 4.89/4.95 1609 (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]. 4.89/4.95 1610 $T # label(t64_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.95 1611 (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]. 4.89/4.95 1612 (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]. 4.89/4.95 1613 (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]. 4.89/4.95 1614 (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]. 4.89/4.95 1615 (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]. 4.89/4.95 1616 (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]. 4.89/4.95 1617 (all A r1_tarski(k2_ordinal2(A),A)) # label(t9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.95 1618 (all A k1_setfam_1(k2_ordinal2(A)) = k6_ordinal2(A)) # label(d6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.95 1619 (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]. 4.89/4.95 1620 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]. 4.89/4.96 1621 (all A (v3_ordinal1(A) -> A = k2_ordinal2(A))) # label(t10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1622 $T # label(t8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1623 (all A (v3_ordinal1(A) -> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)))) # label(t3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1624 (all A (v3_ordinal1(A) -> k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A))) # label(t48_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1625 $T # label(dt_k2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1626 (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]. 4.89/4.96 1627 (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]. 4.89/4.96 1628 (all A (v3_ordinal1(A) -> k1_xboole_0 = k15_ordinal2(A,k1_xboole_0))) # label(t55_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1629 (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]. 4.89/4.96 1630 (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]. 4.89/4.96 1631 (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]. 4.89/4.96 1632 (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]. 4.89/4.96 1633 (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]. 4.89/4.96 1634 (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]. 4.89/4.96 1635 (all A (v4_ordinal2(A) <-> r2_hidden(A,k5_ordinal2))) # label(d21_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1636 (exists A (v1_ordinal1(A) & v4_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1637 (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]. 4.89/4.96 1638 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]. 4.89/4.96 1639 (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]. 4.89/4.96 1640 (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]. 4.89/4.96 1641 (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]. 4.89/4.96 1642 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1643 (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]. 4.89/4.96 1644 (all A (v3_ordinal1(A) -> k1_ordinal1(A) = k7_ordinal2(k1_tarski(A)))) # label(t31_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.89/4.96 1645 (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]. 4.89/4.96 1646 (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]. 4.89/4.96 1647 (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]. 4.89/4.96 1648 (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]. 4.94/4.98 1649 $T # label(t37_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.98 1650 (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]. 4.94/4.98 1651 (all A v3_ordinal1(k6_ordinal2(A))) # label(dt_k6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.98 1652 (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]. 4.94/4.98 1653 (all A r1_tarski(k3_ordinal2(A),k2_ordinal2(A))) # label(t15_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.98 1654 (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]. 4.94/4.98 1655 $T # label(t43_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.98 1656 (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]. 4.94/4.98 1657 (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]. 4.94/4.98 1658 (all A (v3_ordinal1(A) -> A = k14_ordinal2(A,k1_xboole_0))) # label(t44_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.98 1659 (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]. 4.94/4.98 1660 (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]. 4.94/4.98 1661 (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]. 4.94/4.98 1662 (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]. 4.94/4.98 1663 (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]. 4.94/4.98 1664 (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]. 4.94/4.98 1665 (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]. 4.94/4.98 1666 (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]. 4.94/4.99 1667 (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]. 4.94/4.99 1668 (all A (v3_ordinal1(A) -> A = k14_ordinal2(k1_xboole_0,A))) # label(t47_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1669 (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]. 4.94/4.99 1670 $T # label(t21_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1671 (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]. 4.94/4.99 1672 (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]. 4.94/4.99 1673 (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]. 4.94/4.99 1674 (all A (v3_ordinal1(A) -> k15_ordinal2(k1_xboole_0,A) = k1_xboole_0)) # label(t52_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1675 (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]. 4.94/4.99 1676 (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]. 4.94/4.99 1677 (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]. 4.94/4.99 1678 (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]. 4.94/4.99 1679 $T # label(dt_k3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1680 $T # label(t6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1681 (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]. 4.94/4.99 1682 (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]. 4.94/4.99 1683 (all A r1_tarski(k3_ordinal2(A),A)) # label(t13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1684 (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]. 4.94/4.99 1685 (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]. 4.94/4.99 1686 (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]. 4.94/4.99 1687 (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]. 4.94/4.99 1688 (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]. 4.94/4.99 1689 (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]. 4.94/4.99 1690 (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]. 4.94/4.99 1691 (all A (v3_ordinal1(A) -> k16_ordinal2(A,k1_xboole_0) = k4_ordinal2)) # label(t60_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1692 (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]. 4.94/4.99 1693 (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]. 4.94/4.99 1694 $T # label(t36_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1695 $T # label(t20_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1696 $T # label(t39_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/4.99 1697 (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]. 4.94/5.04 1698 $T # label(t40_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1699 (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]. 4.94/5.04 1700 (all A (v3_ordinal1(A) -> k7_ordinal2(A) = A)) # label(t26_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1701 (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]. 4.94/5.04 1702 (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]. 4.94/5.04 1703 (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]. 4.94/5.04 1704 (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]. 4.94/5.04 1705 (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]. 4.94/5.04 1706 $T # label(t42_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1707 $T # label(t12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1708 (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]. 4.94/5.04 1709 (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]. 4.94/5.04 1710 (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]. 4.94/5.04 1711 $T # label(dt_k1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1712 (all A r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A))) # label(t32_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1713 $T # label(t38_ordinal2) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1714 $T # label(t2_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1715 $T # label(t1_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1716 (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]. 4.94/5.04 1717 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1718 (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]. 4.94/5.04 1719 (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]. 4.94/5.04 1720 (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]. 4.94/5.04 1721 (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]. 4.94/5.04 1722 (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]. 4.94/5.04 1723 $T # label(t8_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1724 (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]. 4.94/5.04 1725 $T # label(t6_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1726 (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]. 4.94/5.04 1727 (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]. 4.94/5.04 1728 $T # label(t5_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1729 (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]. 4.94/5.04 1730 (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]. 4.94/5.04 1731 (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]. 4.94/5.04 1732 (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]. 4.94/5.04 1733 $T # label(t7_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1734 $T # label(t11_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1735 (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]. 4.94/5.04 1736 (all A all B all C v1_finset_1(k1_enumset1(A,B,C))) # label(fc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1737 (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]. 4.94/5.04 1738 (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]. 4.94/5.04 1739 $T # label(t12_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1740 (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]. 4.94/5.04 1741 (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]. 4.94/5.04 1742 (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]. 4.94/5.04 1743 (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]. 4.94/5.04 1744 (all A (v1_finset_1(k1_zfmisc_1(A)) <-> v1_finset_1(A))) # label(t24_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1745 (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]. 4.94/5.04 1746 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]. 4.94/5.04 1747 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1748 (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]. 4.94/5.04 1749 $T # label(t3_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1750 (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]. 4.94/5.04 1751 (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]. 4.94/5.04 1752 (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]. 4.94/5.04 1753 (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]. 4.94/5.04 1754 (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]. 4.94/5.04 1755 (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]. 4.94/5.04 1756 $T # label(t4_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1757 $T # label(t9_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.04 1758 (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]. 4.94/5.04 1759 (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]. 4.94/5.04 1760 (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]. 4.94/5.05 1761 (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]. 4.94/5.05 1762 (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]. 4.94/5.05 1763 (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]. 4.94/5.05 1764 (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]. 4.94/5.05 1765 (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]. 4.94/5.05 1766 (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]. 4.94/5.05 1767 $T # label(t10_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1768 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1769 (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]. 4.94/5.05 1770 (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]. 4.94/5.05 1771 (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]. 4.94/5.05 1772 (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]. 4.94/5.05 1773 (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]. 4.94/5.05 1774 (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]. 4.94/5.05 1775 (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]. 4.94/5.05 1776 (all A (v4_finsub_1(A) -> v3_finsub_1(A) & v1_finsub_1(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1777 (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]. 4.94/5.05 1778 $T # label(t33_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1779 (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]. 4.94/5.05 1780 (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]. 4.94/5.05 1781 (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]. 4.94/5.05 1782 (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]. 4.94/5.05 1783 (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]. 4.94/5.05 1784 $T # label(t4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1785 (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]. 4.94/5.05 1786 (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]. 4.94/5.05 1787 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1788 $T # label(t29_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1789 (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]. 4.94/5.05 1790 (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]. 4.94/5.05 1791 (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]. 4.94/5.05 1792 (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]. 4.94/5.05 1793 (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]. 4.94/5.05 1794 (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]. 4.94/5.05 1795 (all A (v3_finsub_1(A) & v1_finsub_1(A) -> v4_finsub_1(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1796 (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]. 4.94/5.05 1797 (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]. 4.94/5.05 1798 (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]. 4.94/5.05 1799 (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]. 4.94/5.05 1800 $T # label(t6_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1801 (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]. 4.94/5.05 1802 (all A (v4_finsub_1(A) <-> v1_finsub_1(A) & v3_finsub_1(A))) # label(d4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1803 (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]. 4.94/5.05 1804 $T # label(t31_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1805 (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]. 4.94/5.05 1806 (all A r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A))) # label(t26_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1807 $T # label(t3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1808 (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]. 4.94/5.05 1809 (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]. 4.94/5.05 1810 $T # label(t22_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1811 (all A v4_finsub_1(k1_zfmisc_1(A))) # label(t20_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1812 $T # label(t19_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1813 (all A (v1_finset_1(A) -> k1_zfmisc_1(A) = k5_finsub_1(A))) # label(t27_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1814 $T # label(t11_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1815 $T # label(t7_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1816 $T # label(t12_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1817 (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]. 4.94/5.05 1818 $T # label(t9_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1819 (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]. 4.94/5.05 1820 (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]. 4.94/5.05 1821 (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]. 4.94/5.05 1822 (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]. 4.94/5.05 1823 $T # label(t1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1824 $T # label(t8_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1825 (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]. 4.94/5.05 1826 $T # label(t2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1827 $T # label(t5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1828 (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]. 4.94/5.05 1829 (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]. 4.94/5.05 1830 (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]. 4.94/5.05 1831 (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]. 4.94/5.05 1832 (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]. 4.94/5.05 1833 (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]. 4.94/5.05 1834 (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]. 4.94/5.05 1835 (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]. 4.94/5.05 1836 (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]. 4.94/5.05 1837 (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]. 4.94/5.05 1838 (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]. 4.94/5.05 1839 (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]. 4.94/5.05 1840 (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]. 4.94/5.05 1841 $T # label(t4_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1842 (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]. 4.94/5.05 1843 (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]. 4.94/5.05 1844 (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]. 4.94/5.05 1845 (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]. 4.94/5.05 1846 (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]. 4.94/5.05 1847 (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]. 4.94/5.05 1848 (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]. 4.94/5.05 1849 (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]. 4.94/5.05 1850 v1_finset_1(f2_s21_fraenkel) -> v1_finset_1(a_0_38_fraenkel) # label(s21_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1851 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1852 (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]. 4.94/5.05 1853 (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]. 4.94/5.05 1854 (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]. 4.94/5.05 1855 (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]. 4.94/5.05 1856 (all A (v1_fraenkel(A) -> (all B (r1_tarski(B,A) -> v1_fraenkel(B))))) # label(t17_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1857 (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]. 4.94/5.05 1858 (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]. 4.94/5.05 1859 (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]. 4.94/5.05 1860 (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]. 4.94/5.05 1861 (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]. 4.94/5.05 1862 (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]. 4.94/5.05 1863 (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]. 4.94/5.05 1864 (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]. 4.94/5.05 1865 (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]. 4.94/5.05 1866 (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]. 4.94/5.05 1867 (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]. 4.94/5.05 1868 (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]. 4.94/5.05 1869 (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]. 4.94/5.05 1870 (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]. 4.94/5.05 1871 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]. 4.94/5.05 1872 $T # label(t9_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1873 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1874 (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]. 4.94/5.05 1875 (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]. 4.94/5.05 1876 (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]. 4.94/5.05 1877 (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]. 4.94/5.05 1878 $T # label(t13_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1879 (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]. 4.94/5.05 1880 (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]. 4.94/5.05 1881 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1882 $T # label(t1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1883 (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]. 4.94/5.05 1884 (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]. 4.94/5.05 1885 $T # label(t7_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1886 (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]. 4.94/5.05 1887 (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]. 4.94/5.05 1888 (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]. 4.94/5.05 1889 $T # label(t2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1890 (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]. 4.94/5.05 1891 (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]. 4.94/5.05 1892 (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]. 4.94/5.05 1893 (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]. 4.94/5.05 1894 (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]. 4.94/5.05 1895 (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]. 4.94/5.05 1896 (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]. 4.94/5.05 1897 (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]. 4.94/5.05 1898 (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]. 4.94/5.05 1899 (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]. 4.94/5.05 1900 (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]. 4.94/5.05 1901 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_fraenkel(k1_tarski(A)))) # label(t8_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1902 (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]. 4.94/5.05 1903 (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]. 4.94/5.05 1904 (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]. 4.94/5.05 1905 (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]. 4.94/5.05 1906 (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]. 4.94/5.05 1907 (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]. 4.94/5.05 1908 (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]. 4.94/5.05 1909 (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]. 4.94/5.05 1910 (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]. 4.94/5.05 1911 $T # label(t12_fraenkel) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1912 (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]. 4.94/5.05 1913 (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]. 4.94/5.05 1914 (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]. 4.94/5.05 1915 (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]. 4.94/5.05 1916 (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]. 4.94/5.05 1917 (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]. 4.94/5.05 1918 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]. 4.94/5.05 1919 (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]. 4.94/5.05 1920 $T # label(dt_k1_numbers) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1921 (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]. 4.94/5.05 1922 $T # label(dt_k4_numbers) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1923 $T # label(dt_k3_numbers) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1924 $T # label(dt_k2_numbers) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1925 (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]. 4.94/5.05 1926 (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]. 4.94/5.05 1927 (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]. 4.94/5.05 1928 (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]. 4.94/5.05 1929 (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]. 4.94/5.05 1930 (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]. 4.94/5.05 1931 (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]. 4.94/5.05 1932 (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]. 4.94/5.05 1933 (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]. 4.94/5.05 1934 (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]. 4.94/5.05 1935 (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]. 4.94/5.05 1936 (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]. 4.94/5.05 1937 (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]. 4.94/5.05 1938 (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]. 4.94/5.05 1939 (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]. 4.94/5.05 1940 (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]. 4.94/5.05 1941 (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]. 4.94/5.05 1942 (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]. 4.94/5.05 1943 (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]. 4.94/5.05 1944 (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]. 4.94/5.05 1945 (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]. 4.94/5.05 1946 (all A (r2_hidden(A,k1_numbers) <-> v1_xreal_0(A))) # label(d1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1947 (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]. 4.94/5.05 1948 (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]. 4.94/5.05 1949 (all A (v4_ordinal2(A) -> v1_xreal_0(A))) # label(cc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1950 (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]. 4.94/5.05 1951 (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]. 4.94/5.05 1952 (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]. 4.94/5.05 1953 (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]. 4.94/5.05 1954 (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]. 4.94/5.05 1955 (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]. 4.94/5.05 1956 (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]. 4.94/5.05 1957 (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]. 4.94/5.05 1958 (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]. 4.94/5.05 1959 (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]. 4.94/5.05 1960 (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]. 4.94/5.05 1961 (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]. 4.94/5.05 1962 (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]. 4.94/5.05 1963 (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]. 4.94/5.05 1964 (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]. 4.94/5.05 1965 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A))) # label(rc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1966 (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]. 4.94/5.05 1967 (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]. 4.94/5.05 1968 (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]. 4.94/5.05 1969 (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]. 4.94/5.05 1970 (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]. 4.94/5.05 1971 (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]. 4.94/5.05 1972 (all A (v1_xreal_0(A) -> v1_xcmplx_0(A))) # label(cc2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1973 $T # label(t31_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1974 $T # label(t1_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1975 (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]. 4.94/5.05 1976 (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]. 4.94/5.05 1977 (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]. 4.94/5.05 1978 (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]. 4.94/5.05 1979 (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]. 4.94/5.05 1980 $T # label(t25_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1981 (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]. 4.94/5.05 1982 (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]. 4.94/5.05 1983 (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]. 4.94/5.05 1984 (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]. 4.94/5.05 1985 (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]. 4.94/5.05 1986 (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]. 4.94/5.05 1987 (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]. 4.94/5.05 1988 (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]. 4.94/5.05 1989 (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]. 4.94/5.05 1990 (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]. 4.94/5.05 1991 (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]. 4.94/5.05 1992 $T # label(t3_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1993 $T # label(t49_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1994 (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]. 4.94/5.05 1995 $T # label(t12_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1996 (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]. 4.94/5.05 1997 (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]. 4.94/5.05 1998 (exists A v1_int_1(A)) # label(rc2_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.05 1999 (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]. 4.94/5.05 2000 (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]. 4.94/5.05 2001 (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]. 4.94/5.05 2002 (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]. 4.94/5.06 2003 (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]. 4.94/5.06 2004 (all A (v4_ordinal2(A) -> v1_int_1(A))) # label(cc3_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2005 (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]. 4.94/5.06 2006 (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]. 4.94/5.06 2007 (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]. 4.94/5.06 2008 (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]. 4.94/5.06 2009 (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]. 4.94/5.06 2010 (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]. 4.94/5.06 2011 (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]. 4.94/5.06 2012 (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]. 4.94/5.06 2013 (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]. 4.94/5.06 2014 $T # label(t53_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2015 $T # label(t29_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2016 (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]. 4.94/5.06 2017 (all A (v1_int_1(A) -> k6_int_1(A,A) = np__0)) # label(t77_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2018 (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]. 4.94/5.06 2019 $T # label(t73_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2020 (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]. 4.94/5.06 2021 $T # label(t67_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2022 (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]. 4.94/5.06 2023 (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]. 4.94/5.06 2024 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]. 4.94/5.06 2025 $T # label(t26_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2026 (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]. 4.94/5.06 2027 $T # label(t56_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2028 (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]. 4.94/5.06 2029 (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]. 4.94/5.06 2030 $T # label(t4_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2031 $T # label(t5_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2032 $T # label(t9_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2033 $T # label(t13_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2034 (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]. 4.94/5.06 2035 (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]. 4.94/5.06 2036 (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]. 4.94/5.06 2037 (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]. 4.94/5.06 2038 (all A (v1_int_1(A) -> np__0 = k5_int_1(A,np__0))) # label(t75_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2039 $T # label(t2_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2040 (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]. 4.94/5.06 2041 (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]. 4.94/5.06 2042 (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]. 4.94/5.06 2043 (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]. 4.94/5.06 2044 (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]. 4.94/5.06 2045 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]. 4.94/5.06 2046 (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]. 4.94/5.06 2047 (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]. 4.94/5.06 2048 $T # label(t10_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2049 (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]. 4.94/5.06 2050 $T # label(t30_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2051 (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]. 4.94/5.06 2052 (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]. 4.94/5.06 2053 $T # label(t24_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2054 (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]. 4.94/5.06 2055 (all A (v1_xreal_0(A) -> v1_int_1(k1_int_1(A)))) # label(dt_k1_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2056 (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]. 4.94/5.06 2057 $T # label(t11_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2058 (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]. 4.94/5.06 2059 (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]. 4.94/5.06 2060 $T # label(t46_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2061 (all A (r2_hidden(A,k4_numbers) <-> v1_int_1(A))) # label(d2_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2062 (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]. 4.94/5.06 2063 (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]. 4.94/5.06 2064 (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]. 4.94/5.06 2065 $T # label(dt_k3_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2066 $T # label(t15_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2067 (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]. 4.94/5.06 2068 (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]. 4.94/5.06 2069 (all A (m1_subset_1(A,k4_numbers) -> v1_int_1(A))) # label(cc1_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2070 $T # label(t14_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2071 (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]. 4.94/5.06 2072 (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]. 4.94/5.06 2073 (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]. 4.94/5.06 2074 (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]. 4.94/5.06 2075 (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]. 4.94/5.06 2076 (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]. 4.94/5.06 2077 (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]. 4.94/5.06 2078 (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]. 4.94/5.06 2079 (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]. 4.94/5.06 2080 (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]. 4.94/5.06 2081 (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]. 4.94/5.06 2082 (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]. 4.94/5.06 2083 (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]. 4.94/5.06 2084 (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]. 4.94/5.06 2085 (all A (v1_int_1(A) -> v1_xcmplx_0(A) & v1_xreal_0(A))) # label(cc4_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2086 $T # label(t27_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2087 (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]. 4.94/5.06 2088 $T # label(t28_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2089 (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]. 4.94/5.06 2090 (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]. 4.94/5.06 2091 (all A (v1_xreal_0(A) -> v1_int_1(k2_int_1(A)))) # label(dt_k2_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2092 (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]. 4.94/5.06 2093 $T # label(t6_int_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2094 (all A (v3_ordinal1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t36_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2095 (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]. 4.94/5.06 2096 (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]. 4.94/5.06 2097 (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]. 4.94/5.06 2098 $T # label(t2_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2099 (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]. 4.94/5.06 2100 (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]. 4.94/5.06 2101 (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]. 4.94/5.06 2102 (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]. 4.94/5.06 2103 (all A exists B (r2_wellord2(A,B) & v3_ordinal1(B))) # label(t4_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2104 (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]. 4.94/5.06 2105 (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]. 4.94/5.06 2106 (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]. 4.94/5.06 2107 (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]. 4.94/5.06 2108 $T # label(t57_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2109 (all A r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A))) # label(t33_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2110 $T # label(dt_k3_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2111 (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]. 4.94/5.06 2112 (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]. 4.94/5.06 2113 (all A (v1_card_1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t32_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2114 $T # label(t18_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2115 (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]. 4.94/5.06 2116 $T # label(t7_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2117 (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]. 4.94/5.06 2118 (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]. 4.94/5.06 2119 (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]. 4.94/5.06 2120 $T # label(t67_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2121 (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]. 4.94/5.06 2122 (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]. 4.94/5.06 2123 $T # label(t11_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2124 $T # label(t6_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2125 $T # label(t1_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2126 (exists A v1_card_1(A)) # label(rc1_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2127 $T # label(t53_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2128 $T # label(t77_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2129 (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]. 4.94/5.06 2130 (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]. 4.94/5.06 2131 (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]. 4.94/5.06 2132 (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]. 4.94/5.06 2133 $T # label(d3_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2134 (all A (r2_hidden(A,k5_ordinal2) -> v1_card_1(A))) # label(t65_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2135 $T # label(t9_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2136 (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]. 4.94/5.06 2137 (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]. 4.94/5.06 2138 (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]. 4.94/5.06 2139 (all A k4_card_1(k1_tarski(A)) = np__1) # label(t79_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2140 (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]. 4.94/5.06 2141 $T # label(t62_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2142 $T # label(t63_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2143 (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]. 4.94/5.06 2144 (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]. 4.94/5.06 2145 $T # label(t20_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2146 (all A v1_card_1(k2_card_1(A))) # label(dt_k2_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2147 (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]. 4.94/5.06 2148 (all A (v3_ordinal1(A) -> r1_ordinal1(k1_card_1(A),A))) # label(t24_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2149 $T # label(t31_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2150 $T # label(t10_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2151 (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]. 4.94/5.06 2152 (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]. 4.94/5.06 2153 $T # label(t37_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2154 (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]. 4.94/5.06 2155 $T # label(d10_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2156 (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]. 4.94/5.06 2157 $T # label(t75_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2158 (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]. 4.94/5.06 2159 (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]. 4.94/5.06 2160 (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]. 4.94/5.06 2161 (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]. 4.94/5.06 2162 (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]. 4.94/5.06 2163 (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]. 4.94/5.06 2164 $T # label(t3_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2165 (all A (v1_finset_1(A) -> v1_finset_1(k2_card_1(A)))) # label(t82_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2166 (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]. 4.94/5.06 2167 (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]. 4.94/5.06 2168 (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]. 4.94/5.06 2169 $T # label(t17_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2170 (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]. 4.94/5.06 2171 $T # label(t12_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2172 (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]. 4.94/5.06 2173 (all A k1_card_1(k1_tarski(A)) = k4_ordinal2) # label(t50_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2174 (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]. 4.94/5.06 2175 $T # label(d9_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2176 (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]. 4.94/5.06 2177 (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]. 4.94/5.06 2178 (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]. 4.94/5.06 2179 (all A v1_card_1(k1_card_1(A))) # label(dt_k1_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2180 (all A -r2_wellord2(A,k1_zfmisc_1(A))) # label(t29_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2181 $T # label(t16_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2182 $T # label(t5_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2183 (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]. 4.94/5.06 2184 $T # label(t54_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2185 $T # label(t19_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2186 $T # label(d2_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2187 (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]. 4.94/5.06 2188 $T # label(t70_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2189 (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]. 4.94/5.06 2190 $T # label(t55_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2191 (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]. 4.94/5.06 2192 (all A (r2_wellord2(A,k1_xboole_0) <-> k1_xboole_0 = A)) # label(t46_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2193 $T # label(d4_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2194 (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]. 4.94/5.06 2195 (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]. 4.94/5.06 2196 $T # label(t15_card_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2197 (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]. 4.94/5.06 2198 (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]. 4.94/5.06 2199 (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]. 4.94/5.06 2200 (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]. 4.94/5.06 2201 (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]. 4.94/5.06 2202 (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]. 4.94/5.06 2203 (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]. 4.94/5.06 2204 (all A -v1_xboole_0(k13_finseq_1(A))) # label(fc9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 4.94/5.06 2205 (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]. 4.94/5.06 2206 (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]. 5.02/5.06 2207 $T # label(t1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2208 (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]. 5.02/5.06 2209 (all A k5_finseq_1(A) = k1_tarski(k4_tarski(np__1,A))) # label(d5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2210 (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]. 5.02/5.06 2211 (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]. 5.02/5.06 2212 (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]. 5.02/5.06 2213 (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]. 5.02/5.06 2214 (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]. 5.02/5.06 2215 (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]. 5.02/5.06 2216 (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]. 5.02/5.06 2217 (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]. 5.02/5.06 2218 $T # label(t22_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2219 (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]. 5.02/5.06 2220 (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]. 5.02/5.06 2221 (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]. 5.02/5.06 2222 (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]. 5.02/5.06 2223 (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]. 5.02/5.06 2224 (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]. 5.02/5.06 2225 (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]. 5.02/5.06 2226 (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]. 5.02/5.06 2227 (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]. 5.02/5.06 2228 (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]. 5.02/5.06 2229 (all A r2_hidden(k1_xboole_0,k13_finseq_1(A))) # label(t66_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2230 (all A exists B m2_finseq_1(B,A)) # label(existence_m2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2231 (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]. 5.02/5.06 2232 (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]. 5.02/5.06 2233 (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]. 5.02/5.06 2234 (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]. 5.02/5.06 2235 (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]. 5.02/5.06 2236 (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]. 5.02/5.06 2237 $T # label(t49_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2238 $T # label(dt_k5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2239 $T # label(t67_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2240 (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]. 5.02/5.06 2241 (all A m2_finseq_1(k14_finseq_1(A),k5_numbers)) # label(dt_k14_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2242 (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]. 5.02/5.06 2243 (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]. 5.02/5.06 2244 (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]. 5.02/5.06 2245 (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]. 5.02/5.06 2246 (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]. 5.02/5.06 2247 (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]. 5.02/5.06 2248 (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]. 5.02/5.06 2249 (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]. 5.02/5.06 2250 (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]. 5.02/5.06 2251 $T # label(t28_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2252 (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]. 5.02/5.06 2253 $T # label(t13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2254 (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]. 5.02/5.06 2255 (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]. 5.02/5.06 2256 (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]. 5.02/5.06 2257 $T # label(t34_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2258 (all A k1_tarski(k4_tarski(np__1,A)) = k9_finseq_1(A)) # label(t52_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2259 (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]. 5.02/5.06 2260 (all A (v4_ordinal2(A) -> v1_finset_1(k1_finseq_1(A)))) # label(fc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2261 (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]. 5.02/5.06 2262 (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]. 5.02/5.06 2263 (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]. 5.02/5.06 2264 (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]. 5.02/5.06 2265 (all A (v4_ordinal2(A) -> k4_card_1(k2_finseq_1(A)) = A)) # label(t78_finseq_1_AndLHS) # label(axiom) # label(non_clause). [assumption]. 5.02/5.06 2266 (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]. 5.02/5.06 2267 (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]. 5.02/5.06 2268 (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]. 5.02/5.07 2269 (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]. 5.02/5.07 2270 (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]. 5.02/5.07 2271 (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]. 5.02/5.07 2272 (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]. 5.02/5.07 2273 $T # label(t53_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2274 (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]. 5.02/5.07 2275 (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]. 5.02/5.07 2276 $T # label(dt_k11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2277 (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]. 5.02/5.07 2278 (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]. 5.02/5.07 2279 (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]. 5.02/5.07 2280 $T # label(t54_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2281 (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]. 5.02/5.07 2282 (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]. 5.02/5.07 2283 (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]. 5.02/5.07 2284 (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]. 5.02/5.07 2285 (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]. 5.02/5.07 2286 (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]. 5.02/5.07 2287 (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]. 5.02/5.07 2288 (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]. 5.02/5.07 2289 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A))) # label(rc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2290 (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]. 5.02/5.07 2291 (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]. 5.02/5.07 2292 (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]. 5.02/5.07 2293 (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]. 5.02/5.07 2294 (all A k6_finseq_1(A) = k1_xboole_0) # label(d6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2295 (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]. 5.02/5.07 2296 (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]. 5.02/5.07 2297 (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]. 5.02/5.07 2298 (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]. 5.02/5.07 2299 (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]. 5.02/5.07 2300 (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]. 5.02/5.07 2301 (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]. 5.02/5.07 2302 (all A (v1_relat_1(A) -> v1_relat_1(k17_finseq_1(A)))) # label(dt_k17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2303 (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]. 5.02/5.07 2304 (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]. 5.02/5.07 2305 (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]. 5.02/5.07 2306 (all A m2_finseq_1(k1_xboole_0,A)) # label(t29_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2307 (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]. 5.02/5.07 2308 (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]. 5.02/5.07 2309 $T # label(t2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2310 (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]. 5.02/5.07 2311 (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]. 5.02/5.07 2312 (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]. 5.02/5.07 2313 (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]. 5.02/5.07 2314 (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]. 5.02/5.07 2315 (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]. 5.02/5.07 2316 (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]. 5.02/5.07 2317 (exists A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_1(A))) # label(rc5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2318 (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]. 5.02/5.07 2319 (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]. 5.02/5.07 2320 $T # label(t30_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2321 (all A k9_finseq_1(A) = k5_finseq_1(A)) # label(redefinition_k9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2322 (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]. 5.02/5.07 2323 (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]. 5.02/5.07 2324 (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]. 5.02/5.07 2325 (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]. 5.02/5.07 2326 (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]. 5.02/5.07 2327 (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]. 5.02/5.07 2328 (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]. 5.02/5.07 2329 (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]. 5.02/5.07 2330 (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]. 5.02/5.07 2331 (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]. 5.02/5.07 2332 (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]. 5.02/5.07 2333 (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]. 5.02/5.07 2334 (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]. 5.02/5.07 2335 (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]. 5.02/5.07 2336 (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]. 5.02/5.07 2337 (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]. 5.02/5.07 2338 (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]. 5.02/5.07 2339 $T # label(t31_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2340 $T # label(dt_k10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2341 (all A exists B m1_finseq_1(B,A)) # label(existence_m1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2342 (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]. 5.02/5.07 2343 $T # label(dt_k13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2344 (all A (v4_ordinal2(A) -> k1_finseq_1(A) = k2_finseq_1(A))) # label(redefinition_k2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2345 (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]. 5.02/5.07 2346 (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]. 5.02/5.07 2347 (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]. 5.02/5.07 2348 (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]. 5.02/5.07 2349 (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]. 5.02/5.07 2350 $T # label(t51_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2351 (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]. 5.02/5.07 2352 (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]. 5.02/5.07 2353 $T # label(dt_k1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2354 (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]. 5.02/5.07 2355 $T # label(t70_finseq_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2356 (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]. 5.02/5.07 2357 (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]. 5.02/5.07 2358 (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]. 5.02/5.07 2359 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> k3_realset1(A,B,C) = k1_realset1(C,B))))) # label(d7_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2360 (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]. 5.02/5.07 2361 (all A (-v1_realset1(A) -> (all B (m4_realset1(B,A) -> -v1_xboole_0(k4_xboole_0(A,B)))))) # label(t12_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2362 (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]. 5.02/5.07 2363 (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]. 5.02/5.07 2364 (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]. 5.02/5.07 2365 (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]. 5.02/5.07 2366 (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]. 5.02/5.07 2367 (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]. 5.02/5.07 2368 (all A (-((all B A != k1_tarski(B)) & -v1_xboole_0(A)) <-> v1_realset1(A))) # label(d4_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2369 (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]. 5.02/5.07 2370 (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]. 5.02/5.07 2371 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2372 (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]. 5.02/5.07 2373 (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]. 5.02/5.07 2374 (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]. 5.02/5.07 2375 (exists A (-v1_realset1(A) & -v1_xboole_0(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2376 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2377 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))) -> -v1_realset1(A)))) # label(t7_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2378 (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]. 5.02/5.07 2379 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2380 (all A (-v1_realset1(A) -> (exists B (m4_realset1(B,A) & -v1_xboole_0(B))))) # label(rc3_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2381 (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]. 5.02/5.07 2382 (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]. 5.02/5.07 2383 (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]. 5.02/5.07 2384 (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]. 5.02/5.07 2385 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_realset1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(A)))))) # label(dt_m1_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2386 (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]. 5.02/5.07 2387 (all A (-v1_xboole_0(A) -> -(v1_realset1(A) & (all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B)))))))) # label(t6_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2388 (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]. 5.02/5.07 2389 (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]. 5.02/5.07 2390 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (exists C m2_realset1(C,A,B)))) # label(existence_m2_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2391 (all A (-v1_realset1(A) -> (all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> k1_realset1(C,k4_xboole_0(A,k1_tarski(B))) = k4_realset1(A,B,C))))))) # label(d9_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2392 (all A all B (-v1_realset1(A) & m1_subset_1(B,A) -> m4_realset1(k5_realset1(A,B),A))) # label(dt_k5_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2393 (all A all B (-v1_realset1(A) & m4_realset1(B,A) -> -v1_xboole_0(k4_xboole_0(A,B)))) # label(fc4_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2394 (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]. 5.02/5.07 2395 (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]. 5.02/5.07 2396 (all A all B (m1_subset_1(B,A) -> (exists C m3_realset1(C,A,B)))) # label(existence_m3_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2397 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2398 (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]. 5.02/5.07 2399 (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]. 5.02/5.07 2400 (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]. 5.02/5.07 2401 (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]. 5.02/5.07 2402 $T # label(dt_m4_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2403 (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]. 5.02/5.07 2404 (all A (-v1_realset1(A) -> (exists B m4_realset1(B,A)))) # label(existence_m4_realset1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2405 (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]. 5.02/5.07 2406 (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]. 5.02/5.07 2407 (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]. 5.02/5.07 2408 (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]. 5.02/5.07 2409 (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]. 5.02/5.07 2410 (exists A (l1_struct_0(A) & v1_struct_0(A))) # label(rc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2411 (exists A (-v3_struct_0(A) & l2_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2412 (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]. 5.02/5.07 2413 (exists A (l2_struct_0(A) & v2_struct_0(A))) # label(rc2_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2414 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) -> k2_tarski(B,C) = k2_struct_0(A,B,C))) # label(redefinition_k2_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2415 (all A (l1_struct_0(A) & -v3_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2416 (exists A (-v3_struct_0(A) & l1_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2417 (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]. 5.02/5.07 2418 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2419 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2420 (all A (l1_struct_0(A) -> (v1_struct_0(A) -> g1_struct_0(u1_struct_0(A)) = A))) # label(abstractness_v1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2421 (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]. 5.02/5.07 2422 (all A (l2_struct_0(A) -> (v2_struct_0(A) -> A = g2_struct_0(u1_struct_0(A),u2_struct_0(A))))) # label(abstractness_v2_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2423 (all A (v1_struct_0(g1_struct_0(A)) & l1_struct_0(g1_struct_0(A)))) # label(dt_g1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2424 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2425 (all A all B (g1_struct_0(B) = g1_struct_0(A) -> A = B)) # label(free_g1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2426 (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]. 5.02/5.07 2427 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2428 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2429 (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]. 5.02/5.07 2430 (all A (l2_struct_0(A) -> m1_subset_1(u2_struct_0(A),u1_struct_0(A)))) # label(dt_u2_struct_0) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2431 (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]. 5.02/5.07 2432 (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]. 5.02/5.07 2433 (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]. 5.02/5.07 2434 $T # label(t1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 5.02/5.07 2435 (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]. 5.02/5.07 2436 (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]. 5.02/5.07 2437 (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]. 5.02/5.07 2438 (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]. 153.27/153.66 2439 (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]. 153.27/153.66 2440 (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]. 153.27/153.66 2441 (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]. 153.27/153.66 2442 (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]. 153.27/153.66 2443 (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]. 153.27/153.66 2444 (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]. 153.27/153.66 2445 (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]. 153.27/153.66 2446 (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]. 153.27/153.66 2447 (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]. 153.27/153.67 2448 $T # label(t13_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2449 $T # label(t15_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2450 $T # label(t12_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2451 (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]. 153.27/153.67 2452 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A))) # label(rc1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2453 (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]. 153.27/153.67 2454 (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]. 153.27/153.67 2455 (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]. 153.27/153.67 2456 (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]. 153.27/153.67 2457 (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]. 153.27/153.67 2458 (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]. 153.27/153.67 2459 (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]. 153.27/153.67 2460 (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]. 153.27/153.67 2461 (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]. 153.27/153.67 2462 (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]. 153.27/153.67 2463 (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]. 153.27/153.67 2464 $T # label(t65_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2465 (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]. 153.27/153.67 2466 (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]. 153.27/153.67 2467 (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]. 153.27/153.67 2468 (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]. 153.27/153.67 2469 (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]. 153.27/153.67 2470 $T # label(t11_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2471 (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]. 153.27/153.67 2472 (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]. 153.27/153.67 2473 (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]. 153.27/153.67 2474 $T # label(t14_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2475 (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]. 153.27/153.67 2476 (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]. 153.27/153.67 2477 (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]. 153.27/153.67 2478 (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]. 153.27/153.67 2479 (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]. 153.27/153.67 2480 (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]. 153.27/153.67 2481 (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]. 153.27/153.67 2482 (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]. 153.27/153.67 2483 (all A (l2_rlvect_1(A) -> l1_rlvect_1(A))) # label(dt_l2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2484 $T # label(t6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2485 (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]. 153.27/153.67 2486 (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]. 153.27/153.67 2487 (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]. 153.27/153.67 2488 (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]. 153.27/153.67 2489 (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]. 153.27/153.67 2490 (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]. 153.27/153.67 2491 (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]. 153.27/153.67 2492 (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]. 153.27/153.67 2493 (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]. 153.27/153.67 2494 (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]. 153.27/153.67 2495 (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]. 153.27/153.67 2496 (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]. 153.27/153.67 2497 (exists A (l2_rlvect_1(A) & -v3_struct_0(A))) # label(rc3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2498 $T # label(t17_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.67 2499 (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]. 153.27/153.67 2500 (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]. 153.27/153.67 2501 (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]. 153.27/153.67 2502 (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]. 153.27/153.67 2503 (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]. 153.27/153.67 2504 (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]. 153.27/153.67 2505 (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]. 153.27/153.67 2506 (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]. 153.27/153.67 2507 (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]. 153.27/153.67 2508 (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]. 153.27/153.67 2509 (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]. 153.27/153.67 2510 (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]. 153.27/153.67 2511 (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]. 153.27/153.67 2512 (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]. 153.27/153.67 2513 (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]. 153.27/153.67 2514 (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]. 153.27/153.67 2515 (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]. 153.27/153.67 2516 (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]. 153.27/153.68 2517 (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]. 153.27/153.68 2518 (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]. 153.27/153.68 2519 $T # label(t88_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2520 (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]. 153.27/153.68 2521 (exists A (v2_rlvect_1(A) & l2_rlvect_1(A))) # label(rc2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2522 (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]. 153.27/153.68 2523 (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]. 153.27/153.68 2524 (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]. 153.27/153.68 2525 $T # label(t32_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2526 (all A (l2_struct_0(A) -> k1_rlvect_1(A) = u2_struct_0(A))) # label(d2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2527 (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]. 153.27/153.68 2528 (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]. 153.27/153.68 2529 (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]. 153.27/153.68 2530 $T # label(t2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2531 (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]. 153.27/153.68 2532 (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]. 153.27/153.68 2533 (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]. 153.27/153.68 2534 (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]. 153.27/153.68 2535 (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]. 153.27/153.68 2536 (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]. 153.27/153.68 2537 $T # label(t8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2538 $T # label(t4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2539 (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]. 153.27/153.68 2540 $T # label(t9_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2541 (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]. 153.27/153.68 2542 (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]. 153.27/153.68 2543 (exists A l2_rlvect_1(A)) # label(existence_l2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2544 (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]. 153.27/153.68 2545 (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]. 153.27/153.68 2546 (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]. 153.27/153.68 2547 (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]. 153.27/153.68 2548 (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]. 153.27/153.68 2549 (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]. 153.27/153.68 2550 (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]. 153.27/153.68 2551 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2552 $T # label(t18_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2553 (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]. 153.27/153.68 2554 (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]. 153.27/153.68 2555 (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]. 153.27/153.68 2556 (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]. 153.27/153.68 2557 (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]. 153.27/153.68 2558 (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]. 153.27/153.68 2559 (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]. 153.27/153.68 2560 (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]. 153.27/153.68 2561 (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]. 153.27/153.68 2562 (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]. 153.27/153.68 2563 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A))) # label(rc4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2564 (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]. 153.27/153.68 2565 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2566 (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]. 153.27/153.68 2567 $T # label(t53_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.68 2568 (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]. 153.27/153.68 2569 (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]. 153.27/153.68 2570 (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]. 153.27/153.68 2571 (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]. 153.27/153.68 2572 (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]. 153.27/153.68 2573 (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]. 153.27/153.69 2574 (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]. 153.27/153.69 2575 $T # label(t52_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2576 (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]. 153.27/153.69 2577 $T # label(t39_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2578 (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]. 153.27/153.69 2579 (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]. 153.27/153.69 2580 (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]. 153.27/153.69 2581 (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]. 153.27/153.69 2582 $T # label(t4_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2583 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2584 (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]. 153.27/153.69 2585 $T # label(t89_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2586 (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]. 153.27/153.69 2587 (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]. 153.27/153.69 2588 $T # label(t11_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2589 $T # label(t57_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2590 (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]. 153.27/153.69 2591 (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]. 153.27/153.69 2592 (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]. 153.27/153.69 2593 (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]. 153.27/153.69 2594 (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]. 153.27/153.69 2595 (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]. 153.27/153.69 2596 (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]. 153.27/153.69 2597 (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]. 153.27/153.69 2598 (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]. 153.27/153.69 2599 (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]. 153.27/153.69 2600 (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]. 153.27/153.69 2601 (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]. 153.27/153.69 2602 (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]. 153.27/153.69 2603 (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]. 153.27/153.69 2604 (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]. 153.27/153.69 2605 (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]. 153.27/153.69 2606 (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]. 153.27/153.69 2607 (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]. 153.27/153.69 2608 (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]. 153.27/153.69 2609 $T # label(t9_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2610 $T # label(t88_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2611 $T # label(t83_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2612 (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]. 153.27/153.69 2613 (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]. 153.27/153.69 2614 (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]. 153.27/153.69 2615 (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]. 153.27/153.69 2616 $T # label(t93_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2617 $T # label(t78_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2618 (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]. 153.27/153.69 2619 (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]. 153.27/153.69 2620 (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]. 153.27/153.69 2621 (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]. 153.27/153.69 2622 (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]. 153.27/153.69 2623 (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]. 153.27/153.69 2624 (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]. 153.27/153.69 2625 (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]. 153.27/153.69 2626 (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]. 153.27/153.69 2627 (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]. 153.27/153.69 2628 $T # label(t81_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2629 $T # label(t3_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2630 (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]. 153.27/153.69 2631 (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]. 153.27/153.69 2632 (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]. 153.27/153.69 2633 $T # label(t80_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2634 $T # label(t76_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2635 (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]. 153.27/153.69 2636 (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]. 153.27/153.69 2637 (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]. 153.27/153.69 2638 (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]. 153.27/153.69 2639 $T # label(t1_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2640 (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]. 153.27/153.69 2641 (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]. 153.27/153.69 2642 (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]. 153.27/153.69 2643 (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]. 153.27/153.69 2644 (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]. 153.27/153.69 2645 (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]. 153.27/153.69 2646 (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]. 153.27/153.69 2647 (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]. 153.27/153.69 2648 (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]. 153.27/153.69 2649 (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]. 153.27/153.69 2650 (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]. 153.27/153.69 2651 (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]. 153.27/153.69 2652 $T # label(t41_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2653 (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]. 153.27/153.69 2654 (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]. 153.27/153.69 2655 (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]. 153.27/153.69 2656 (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]. 153.27/153.69 2657 (exists A (v1_group_1(A) & l1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2658 $T # label(t38_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2659 (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]. 153.27/153.69 2660 (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]. 153.27/153.69 2661 $T # label(t8_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.69 2662 (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]. 153.27/153.69 2663 (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]. 153.27/153.69 2664 (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]. 153.27/153.69 2665 (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]. 153.27/153.69 2666 (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]. 153.27/153.69 2667 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2668 (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]. 153.27/153.70 2669 (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]. 153.27/153.70 2670 (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]. 153.27/153.70 2671 (exists A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2672 (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]. 153.27/153.70 2673 $T # label(t87_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2674 (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]. 153.27/153.70 2675 (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]. 153.27/153.70 2676 (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]. 153.27/153.70 2677 (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]. 153.27/153.70 2678 $T # label(t58_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2679 $T # label(t29_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2680 (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]. 153.27/153.70 2681 (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]. 153.27/153.70 2682 (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]. 153.27/153.70 2683 (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]. 153.27/153.70 2684 (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]. 153.27/153.70 2685 (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]. 153.27/153.70 2686 $T # label(t30_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2687 (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]. 153.27/153.70 2688 $T # label(t13_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2689 (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]. 153.27/153.70 2690 (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]. 153.27/153.70 2691 (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]. 153.27/153.70 2692 (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]. 153.27/153.70 2693 (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]. 153.27/153.70 2694 (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]. 153.27/153.70 2695 (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]. 153.27/153.70 2696 (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]. 153.27/153.70 2697 (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]. 153.27/153.70 2698 (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]. 153.27/153.70 2699 (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]. 153.27/153.70 2700 $T # label(t91_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2701 (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]. 153.27/153.70 2702 (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]. 153.27/153.70 2703 (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]. 153.27/153.70 2704 (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]. 153.27/153.70 2705 (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]. 153.27/153.70 2706 $T # label(t2_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2707 $T # label(t40_group_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2708 (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]. 153.27/153.70 2709 (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]. 153.27/153.70 2710 (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]. 153.27/153.70 2711 (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]. 153.27/153.70 2712 (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]. 153.27/153.70 2713 (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]. 153.27/153.70 2714 $T # label(t16_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2715 (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]. 153.27/153.70 2716 (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]. 153.27/153.70 2717 (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]. 153.27/153.70 2718 $T # label(d4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2719 (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]. 153.27/153.70 2720 (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]. 153.27/153.70 2721 $T # label(t83_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2722 $T # label(t71_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2723 $T # label(t24_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2724 $T # label(t31_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2725 (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]. 153.27/153.70 2726 (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]. 153.27/153.70 2727 $T # label(d10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2728 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2729 (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]. 153.27/153.70 2730 (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]. 153.27/153.70 2731 $T # label(t76_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2732 $T # label(t55_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2733 (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]. 153.27/153.70 2734 $T # label(t2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2735 $T # label(t11_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2736 $T # label(t1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2737 $T # label(t17_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2738 $T # label(t9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2739 $T # label(t75_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2740 $T # label(t91_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2741 $T # label(d1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2742 (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]. 153.27/153.70 2743 (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]. 153.27/153.70 2744 $T # label(t8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2745 (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]. 153.27/153.70 2746 (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]. 153.27/153.70 2747 $T # label(t37_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2748 (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]. 153.27/153.70 2749 $T # label(t35_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2750 (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]. 153.27/153.70 2751 (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]. 153.27/153.70 2752 (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]. 153.27/153.70 2753 (exists A (l1_vectsp_1(A) & -v3_struct_0(A) & v1_vectsp_1(A))) # label(rc3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2754 (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]. 153.27/153.70 2755 $T # label(t10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2756 $T # label(t27_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2757 (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]. 153.27/153.70 2758 (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]. 153.27/153.70 2759 $T # label(t15_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2760 $T # label(t53_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2761 $T # label(d7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2762 $T # label(t56_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2763 (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]. 153.27/153.70 2764 $T # label(t82_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2765 (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]. 153.27/153.70 2766 (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]. 153.27/153.70 2767 $T # label(t18_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2768 (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]. 153.27/153.70 2769 $T # label(d5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2770 (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]. 153.27/153.70 2771 $T # label(t29_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2772 (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]. 153.27/153.70 2773 (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]. 153.27/153.70 2774 (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]. 153.27/153.70 2775 $T # label(t32_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.70 2776 (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]. 153.27/153.71 2777 (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]. 153.27/153.71 2778 (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]. 153.27/153.71 2779 (exists A (l2_vectsp_1(A) & -v3_struct_0(A) & v2_vectsp_1(A))) # label(rc5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2780 $T # label(t48_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2781 (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]. 153.27/153.71 2782 (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]. 153.27/153.71 2783 (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]. 153.27/153.71 2784 (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]. 153.27/153.71 2785 $T # label(t19_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2786 (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]. 153.27/153.71 2787 (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]. 153.27/153.71 2788 (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]. 153.27/153.71 2789 (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]. 153.27/153.71 2790 (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]. 153.27/153.71 2791 $T # label(t26_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2792 $T # label(t54_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2793 (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]. 153.27/153.71 2794 (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]. 153.27/153.71 2795 $T # label(t38_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2796 (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]. 153.27/153.71 2797 (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]. 153.27/153.71 2798 (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]. 153.27/153.71 2799 $T # label(t77_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2800 (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]. 153.27/153.71 2801 $T # label(d17_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2802 (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]. 153.27/153.71 2803 (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]. 153.27/153.71 2804 (all A (l1_vectsp_1(A) -> u1_vectsp_1(A) = k2_vectsp_1(A))) # label(d9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2805 (exists A (v1_vectsp_1(A) & l1_vectsp_1(A))) # label(rc2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2806 $T # label(t47_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2807 $T # label(d3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2808 (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]. 153.27/153.71 2809 (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]. 153.27/153.71 2810 (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]. 153.27/153.71 2811 $T # label(t14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2812 (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]. 153.27/153.71 2813 (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]. 153.27/153.71 2814 (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]. 153.27/153.71 2815 $T # label(t85_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2816 (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]. 153.27/153.71 2817 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2818 (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]. 153.27/153.71 2819 $T # label(t30_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2820 (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]. 153.27/153.71 2821 (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]. 153.27/153.71 2822 (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]. 153.27/153.71 2823 (exists A (l3_vectsp_1(A) & v3_vectsp_1(A))) # label(rc6_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2824 (exists A (l2_vectsp_1(A) & v2_vectsp_1(A))) # label(rc4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2825 (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]. 153.27/153.71 2826 (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]. 153.27/153.71 2827 $T # label(t51_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2828 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v13_vectsp_1(A))) # label(rc14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2829 $T # label(t62_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2830 $T # label(t58_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2831 (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]. 153.27/153.71 2832 $T # label(t13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2833 $T # label(d8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2834 $T # label(t28_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2835 (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]. 153.27/153.71 2836 $T # label(t4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2837 (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]. 153.27/153.71 2838 $T # label(t49_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2839 (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]. 153.27/153.71 2840 $T # label(t50_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2841 $T # label(t3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2842 (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]. 153.27/153.71 2843 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2844 $T # label(d27_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2845 (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]. 153.27/153.71 2846 $T # label(t25_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2847 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2848 (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]. 153.27/153.71 2849 (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]. 153.27/153.71 2850 $T # label(d14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2851 $T # label(t57_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2852 $T # label(d2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2853 (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]. 153.27/153.71 2854 $T # label(t12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2855 $T # label(t46_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2856 (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]. 153.27/153.71 2857 (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]. 153.27/153.71 2858 (all A (l1_struct_0(A) -> (exists B l4_vectsp_1(B,A)))) # label(existence_l4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2859 $T # label(d16_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2860 $T # label(t79_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2861 $T # label(t52_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2862 (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]. 153.27/153.71 2863 (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]. 153.27/153.71 2864 (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]. 153.27/153.71 2865 (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]. 153.27/153.71 2866 (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]. 153.27/153.71 2867 (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]. 153.27/153.71 2868 $T # label(t34_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2869 (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]. 153.27/153.71 2870 $T # label(t5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2871 $T # label(t23_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2872 (exists A (v3_vectsp_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2873 (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]. 153.27/153.71 2874 $T # label(t80_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2875 $T # label(t72_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2876 $T # label(t61_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2877 (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]. 153.27/153.71 2878 (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]. 153.27/153.71 2879 (all A (-v1_xboole_0(A) -> k9_funcsdom(A) = k2_funcop_1(A,np__0))) # label(d5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2880 (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]. 153.27/153.71 2881 (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]. 153.27/153.71 2882 (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]. 153.27/153.71 2883 $T # label(d16_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2884 $T # label(t36_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2885 (all A (-v1_xboole_0(A) -> k2_group_1(k13_funcsdom(A)) = k10_funcsdom(A))) # label(t44_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2886 (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]. 153.27/153.71 2887 (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]. 153.27/153.71 2888 (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]. 153.27/153.71 2889 (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]. 153.27/153.71 2890 $T # label(t8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.27/153.71 2891 (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]. 153.27/153.71 2892 (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]. 153.27/153.71 2893 (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]. 153.27/153.71 2894 (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]. 153.34/153.72 2895 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_group_1(k12_funcsdom(A)))) # label(t41_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2896 (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]. 153.34/153.72 2897 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_funcop_1(A,np__1))) # label(d6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2898 $T # label(d13_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2899 (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]. 153.34/153.72 2900 (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]. 153.34/153.72 2901 $T # label(t1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2902 (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]. 153.34/153.72 2903 (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]. 153.34/153.72 2904 (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]. 153.34/153.72 2905 (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]. 153.34/153.72 2906 $T # label(t46_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2907 (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]. 153.34/153.72 2908 $T # label(d11_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2909 (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]. 153.34/153.72 2910 (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]. 153.34/153.72 2911 (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]. 153.34/153.72 2912 (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]. 153.34/153.72 2913 $T # label(t7_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2914 (exists A (l1_funcsdom(A) & -v3_struct_0(A))) # label(rc3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2915 (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]. 153.34/153.72 2916 (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]. 153.34/153.72 2917 (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]. 153.34/153.72 2918 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) != k9_funcsdom(A))) # label(t14_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2919 $T # label(t38_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2920 $T # label(t40_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2921 (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]. 153.34/153.72 2922 (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]. 153.34/153.72 2923 (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]. 153.34/153.72 2924 (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]. 153.34/153.72 2925 (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]. 153.34/153.72 2926 (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]. 153.34/153.72 2927 $T # label(d18_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2928 $T # label(t47_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2929 (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]. 153.34/153.72 2930 (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]. 153.34/153.72 2931 (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]. 153.34/153.72 2932 (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]. 153.34/153.72 2933 $T # label(t4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2934 $T # label(d8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2935 $T # label(d10_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2936 (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]. 153.34/153.72 2937 $T # label(t5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2938 (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]. 153.34/153.72 2939 (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]. 153.34/153.72 2940 $T # label(d17_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2941 (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]. 153.34/153.72 2942 $T # label(d15_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2943 $T # label(t45_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2944 (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]. 153.34/153.72 2945 (exists A (v1_funcsdom(A) & l1_funcsdom(A))) # label(rc2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2946 (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]. 153.34/153.72 2947 (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]. 153.34/153.72 2948 (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]. 153.34/153.72 2949 (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]. 153.34/153.72 2950 (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]. 153.34/153.72 2951 (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]. 153.34/153.72 2952 (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]. 153.34/153.72 2953 $T # label(t35_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2954 $T # label(d9_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2955 $T # label(t6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2956 (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]. 153.34/153.72 2957 (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]. 153.34/153.72 2958 (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]. 153.34/153.72 2959 (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]. 153.34/153.72 2960 $T # label(t39_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2961 (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]. 153.34/153.72 2962 (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]. 153.34/153.72 2963 $T # label(d14_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2964 (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]. 153.34/153.72 2965 $T # label(t48_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.72 2966 (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]. 153.34/153.72 2967 (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]. 153.34/153.72 2968 $T # label(t3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2969 (all A (l1_funcsdom(A) -> l3_vectsp_1(A) & l2_rlvect_1(A))) # label(dt_l1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2970 (exists A l1_funcsdom(A)) # label(existence_l1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2971 (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]. 153.34/153.73 2972 (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]. 153.34/153.73 2973 (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]. 153.34/153.73 2974 (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]. 153.34/153.73 2975 $T # label(t9_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2976 (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]. 153.34/153.73 2977 $T # label(t2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2978 (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]. 153.34/153.73 2979 (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]. 153.34/153.73 2980 (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]. 153.34/153.73 2981 (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]. 153.34/153.73 2982 (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]. 153.34/153.73 2983 (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]. 153.34/153.73 2984 (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]. 153.34/153.73 2985 (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]. 153.34/153.73 2986 $T # label(t124_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2987 (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]. 153.34/153.73 2988 (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]. 153.34/153.73 2989 (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]. 153.34/153.73 2990 (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]. 153.34/153.73 2991 $T # label(t11_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 2992 (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]. 153.34/153.73 2993 (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]. 153.34/153.73 2994 (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]. 153.34/153.73 2995 (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]. 153.34/153.73 2996 (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]. 153.34/153.73 2997 (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]. 153.34/153.73 2998 (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]. 153.34/153.73 2999 (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]. 153.34/153.73 3000 (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]. 153.34/153.73 3001 (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]. 153.34/153.73 3002 (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]. 153.34/153.73 3003 (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]. 153.34/153.73 3004 (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]. 153.34/153.73 3005 (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]. 153.34/153.73 3006 $T # label(t4_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 3007 (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]. 153.34/153.73 3008 (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]. 153.34/153.73 3009 (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]. 153.34/153.73 3010 (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]. 153.34/153.73 3011 (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]. 153.34/153.73 3012 (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]. 153.34/153.73 3013 (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]. 153.34/153.73 3014 (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]. 153.34/153.73 3015 (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]. 153.34/153.73 3016 (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]. 153.34/153.73 3017 (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]. 153.34/153.73 3018 (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]. 153.34/153.73 3019 (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]. 153.34/153.73 3020 (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]. 153.34/153.73 3021 (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]. 153.34/153.73 3022 (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]. 153.34/153.73 3023 (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]. 153.34/153.73 3024 (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]. 153.34/153.73 3025 (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]. 153.34/153.73 3026 (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]. 153.34/153.73 3027 (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]. 153.34/153.73 3028 (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]. 153.34/153.73 3029 (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]. 153.34/153.73 3030 (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]. 153.34/153.73 3031 (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]. 153.34/153.73 3032 $T # label(t96_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 3033 (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]. 153.34/153.73 3034 (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]. 153.34/153.73 3035 (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]. 153.34/153.73 3036 (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]. 153.34/153.73 3037 (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]. 153.34/153.73 3038 (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]. 153.34/153.73 3039 $T # label(t112_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 3040 (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]. 153.34/153.73 3041 (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]. 153.34/153.73 3042 (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]. 153.34/153.73 3043 (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]. 153.34/153.73 3044 (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]. 153.34/153.73 3045 $T # label(t162_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 3046 $T # label(t131_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.73 3047 (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]. 153.34/153.73 3048 (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]. 153.34/153.73 3049 (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]. 153.34/153.73 3050 (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]. 153.34/153.74 3051 (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]. 153.34/153.74 3052 (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]. 153.34/153.74 3053 (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]. 153.34/153.74 3054 (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]. 153.34/153.74 3055 (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]. 153.34/153.74 3056 (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]. 153.34/153.74 3057 (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]. 153.34/153.74 3058 (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]. 153.34/153.74 3059 (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]. 153.34/153.74 3060 (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]. 153.34/153.74 3061 (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]. 153.34/153.74 3062 (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]. 153.34/153.74 3063 (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]. 153.34/153.74 3064 (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]. 153.34/153.74 3065 (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]. 153.34/153.74 3066 (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]. 153.34/153.74 3067 (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]. 153.34/153.74 3068 (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]. 153.34/153.74 3069 (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]. 153.34/153.74 3070 $T # label(t113_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3071 (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]. 153.34/153.74 3072 $T # label(t46_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3073 (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]. 153.34/153.74 3074 (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]. 153.34/153.74 3075 (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]. 153.34/153.74 3076 (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]. 153.34/153.74 3077 (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]. 153.34/153.74 3078 (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]. 153.34/153.74 3079 (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]. 153.34/153.74 3080 (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]. 153.34/153.74 3081 $T # label(t72_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3082 (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]. 153.34/153.74 3083 $T # label(t32_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3084 (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]. 153.34/153.74 3085 $T # label(t2_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3086 (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]. 153.34/153.74 3087 (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]. 153.34/153.74 3088 (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]. 153.34/153.74 3089 (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]. 153.34/153.74 3090 (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]. 153.34/153.74 3091 (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]. 153.34/153.74 3092 (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]. 153.34/153.74 3093 (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]. 153.34/153.74 3094 $T # label(t157_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3095 (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]. 153.34/153.74 3096 (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]. 153.34/153.74 3097 (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]. 153.34/153.74 3098 (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]. 153.34/153.74 3099 (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]. 153.34/153.74 3100 (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]. 153.34/153.74 3101 (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]. 153.34/153.74 3102 $T # label(t73_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3103 (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]. 153.34/153.74 3104 (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]. 153.34/153.74 3105 (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]. 153.34/153.74 3106 (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]. 153.34/153.74 3107 $T # label(t45_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3108 (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]. 153.34/153.74 3109 (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]. 153.34/153.74 3110 $T # label(t95_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3111 (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]. 153.34/153.74 3112 (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]. 153.34/153.74 3113 (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]. 153.34/153.74 3114 (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]. 153.34/153.74 3115 (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]. 153.34/153.74 3116 (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]. 153.34/153.74 3117 (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]. 153.34/153.74 3118 (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]. 153.34/153.74 3119 (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]. 153.34/153.74 3120 (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]. 153.34/153.74 3121 (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]. 153.34/153.74 3122 (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]. 153.34/153.74 3123 (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]. 153.34/153.74 3124 (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]. 153.34/153.74 3125 (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]. 153.34/153.74 3126 $T # label(t74_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3127 (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]. 153.34/153.74 3128 (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]. 153.34/153.74 3129 (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]. 153.34/153.74 3130 (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]. 153.34/153.74 3131 $T # label(t1_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3132 (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]. 153.34/153.74 3133 (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]. 153.34/153.74 3134 (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]. 153.34/153.74 3135 (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]. 153.34/153.74 3136 (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]. 153.34/153.74 3137 $T # label(t86_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3138 (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]. 153.34/153.74 3139 $T # label(t123_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.74 3140 (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]. 153.34/153.74 3141 (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]. 153.34/153.74 3142 (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]. 153.34/153.74 3143 (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]. 153.34/153.75 3144 (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]. 153.34/153.75 3145 (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]. 153.34/153.75 3146 (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]. 153.34/153.75 3147 (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]. 153.34/153.75 3148 (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]. 153.34/153.75 3149 (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]. 153.34/153.75 3150 (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]. 153.34/153.75 3151 (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]. 153.34/153.75 3152 (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]. 153.34/153.75 3153 (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]. 153.34/153.75 3154 (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]. 153.34/153.75 3155 (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]. 153.34/153.75 3156 $T # label(t159_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3157 (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]. 153.34/153.75 3158 (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]. 153.34/153.75 3159 (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]. 153.34/153.75 3160 (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]. 153.34/153.75 3161 (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]. 153.34/153.75 3162 (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]. 153.34/153.75 3163 (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]. 153.34/153.75 3164 (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]. 153.34/153.75 3165 (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]. 153.34/153.75 3166 (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]. 153.34/153.75 3167 (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]. 153.34/153.75 3168 (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]. 153.34/153.75 3169 (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]. 153.34/153.75 3170 (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]. 153.34/153.75 3171 $T # label(t160_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3172 (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]. 153.34/153.75 3173 (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]. 153.34/153.75 3174 (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]. 153.34/153.75 3175 (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]. 153.34/153.75 3176 (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]. 153.34/153.75 3177 (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]. 153.34/153.75 3178 $T # label(t158_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3179 (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]. 153.34/153.75 3180 (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]. 153.34/153.75 3181 (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]. 153.34/153.75 3182 (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]. 153.34/153.75 3183 (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]. 153.34/153.75 3184 (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]. 153.34/153.75 3185 $T # label(t31_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3186 (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]. 153.34/153.75 3187 $T # label(t47_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3188 (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]. 153.34/153.75 3189 (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]. 153.34/153.75 3190 $T # label(t161_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3191 (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]. 153.34/153.75 3192 (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]. 153.34/153.75 3193 (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]. 153.34/153.75 3194 (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]. 153.34/153.75 3195 (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]. 153.34/153.75 3196 (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]. 153.34/153.75 3197 (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]. 153.34/153.75 3198 (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]. 153.34/153.75 3199 (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]. 153.34/153.75 3200 (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]. 153.34/153.75 3201 (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]. 153.34/153.75 3202 (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]. 153.34/153.75 3203 (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]. 153.34/153.75 3204 (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]. 153.34/153.75 3205 (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]. 153.34/153.75 3206 (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]. 153.34/153.75 3207 (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]. 153.34/153.75 3208 (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]. 153.34/153.75 3209 $T # label(t163_group_2) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3210 (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]. 153.34/153.75 3211 (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]. 153.34/153.75 3212 (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]. 153.34/153.75 3213 (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]. 153.34/153.75 3214 (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]. 153.34/153.75 3215 (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]. 153.34/153.75 3216 (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]. 153.34/153.75 3217 (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]. 153.34/153.75 3218 $T # label(t112_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3219 (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]. 153.34/153.75 3220 (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]. 153.34/153.75 3221 (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]. 153.34/153.75 3222 (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]. 153.34/153.75 3223 (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]. 153.34/153.75 3224 (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]. 153.34/153.75 3225 $T # label(t152_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.75 3226 (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]. 153.34/153.75 3227 (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]. 153.34/153.76 3228 (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]. 153.34/153.76 3229 (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]. 153.34/153.76 3230 (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]. 153.34/153.76 3231 $T # label(t87_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3232 $T # label(t135_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3233 (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]. 153.34/153.76 3234 $T # label(t126_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3235 (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]. 153.34/153.76 3236 (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]. 153.34/153.76 3237 (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]. 153.34/153.76 3238 (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]. 153.34/153.76 3239 (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]. 153.34/153.76 3240 (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]. 153.34/153.76 3241 (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]. 153.34/153.76 3242 (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]. 153.34/153.76 3243 (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]. 153.34/153.76 3244 (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]. 153.34/153.76 3245 (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]. 153.34/153.76 3246 (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]. 153.34/153.76 3247 (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]. 153.34/153.76 3248 (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]. 153.34/153.76 3249 (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]. 153.34/153.76 3250 (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]. 153.34/153.76 3251 (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]. 153.34/153.76 3252 (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]. 153.34/153.76 3253 (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]. 153.34/153.76 3254 (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]. 153.34/153.76 3255 (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]. 153.34/153.76 3256 (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]. 153.34/153.76 3257 (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]. 153.34/153.76 3258 (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]. 153.34/153.76 3259 (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]. 153.34/153.76 3260 (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]. 153.34/153.76 3261 (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]. 153.34/153.76 3262 (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]. 153.34/153.76 3263 (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]. 153.34/153.76 3264 (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]. 153.34/153.76 3265 (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]. 153.34/153.76 3266 $T # label(t94_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3267 (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]. 153.34/153.76 3268 (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]. 153.34/153.76 3269 (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]. 153.34/153.76 3270 (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]. 153.34/153.76 3271 (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]. 153.34/153.76 3272 (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]. 153.34/153.76 3273 (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]. 153.34/153.76 3274 (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]. 153.34/153.76 3275 (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]. 153.34/153.76 3276 (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]. 153.34/153.76 3277 $T # label(t153_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3278 $T # label(t68_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3279 (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]. 153.34/153.76 3280 (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]. 153.34/153.76 3281 $T # label(t49_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3282 (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]. 153.34/153.76 3283 (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]. 153.34/153.76 3284 $T # label(t48_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3285 (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]. 153.34/153.76 3286 (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]. 153.34/153.76 3287 (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]. 153.34/153.76 3288 (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]. 153.34/153.76 3289 (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]. 153.34/153.76 3290 (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]. 153.34/153.76 3291 (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]. 153.34/153.76 3292 (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]. 153.34/153.76 3293 (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]. 153.34/153.76 3294 $T # label(t125_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3295 (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]. 153.34/153.76 3296 (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]. 153.34/153.76 3297 (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]. 153.34/153.76 3298 (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]. 153.34/153.76 3299 (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]. 153.34/153.76 3300 (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]. 153.34/153.76 3301 (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]. 153.34/153.76 3302 (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]. 153.34/153.76 3303 (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]. 153.34/153.76 3304 (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]. 153.34/153.76 3305 (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]. 153.34/153.76 3306 (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]. 153.34/153.76 3307 (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]. 153.34/153.76 3308 $T # label(t16_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.76 3309 (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]. 153.34/153.76 3310 (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]. 153.34/153.76 3311 (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]. 153.34/153.76 3312 (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]. 153.34/153.76 3313 (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]. 153.34/153.77 3314 (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]. 153.34/153.77 3315 (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]. 153.34/153.77 3316 (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]. 153.34/153.77 3317 (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]. 153.34/153.77 3318 (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]. 153.34/153.77 3319 (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]. 153.34/153.77 3320 (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]. 153.34/153.77 3321 (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]. 153.34/153.77 3322 $T # label(t110_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3323 (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]. 153.34/153.77 3324 (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]. 153.34/153.77 3325 (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]. 153.34/153.77 3326 (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]. 153.34/153.77 3327 $T # label(t75_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3328 $T # label(t120_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3329 (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]. 153.34/153.77 3330 (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]. 153.34/153.77 3331 (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]. 153.34/153.77 3332 (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]. 153.34/153.77 3333 (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]. 153.34/153.77 3334 (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]. 153.34/153.77 3335 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3336 (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]. 153.34/153.77 3337 (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]. 153.34/153.77 3338 (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]. 153.34/153.77 3339 (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]. 153.34/153.77 3340 (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]. 153.34/153.77 3341 (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]. 153.34/153.77 3342 (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]. 153.34/153.77 3343 (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]. 153.34/153.77 3344 (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]. 153.34/153.77 3345 (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]. 153.34/153.77 3346 $T # label(t69_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3347 (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]. 153.34/153.77 3348 (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]. 153.34/153.77 3349 (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]. 153.34/153.77 3350 (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]. 153.34/153.77 3351 (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]. 153.34/153.77 3352 $T # label(t31_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3353 (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]. 153.34/153.77 3354 (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]. 153.34/153.77 3355 $T # label(t136_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3356 (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]. 153.34/153.77 3357 (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]. 153.34/153.77 3358 (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]. 153.34/153.77 3359 (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]. 153.34/153.77 3360 (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]. 153.34/153.77 3361 (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]. 153.34/153.77 3362 (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]. 153.34/153.77 3363 $T # label(t103_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3364 (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]. 153.34/153.77 3365 (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]. 153.34/153.77 3366 (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]. 153.34/153.77 3367 (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]. 153.34/153.77 3368 (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]. 153.34/153.77 3369 (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]. 153.34/153.77 3370 (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]. 153.34/153.77 3371 (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]. 153.34/153.77 3372 (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]. 153.34/153.77 3373 (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]. 153.34/153.77 3374 (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]. 153.34/153.77 3375 (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]. 153.34/153.77 3376 (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]. 153.34/153.77 3377 (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]. 153.34/153.77 3378 (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]. 153.34/153.77 3379 (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]. 153.34/153.77 3380 (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]. 153.34/153.77 3381 (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]. 153.34/153.77 3382 (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]. 153.34/153.77 3383 $T # label(t37_group_3) # label(axiom) # label(non_clause). [assumption]. 153.34/153.77 3384 (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]. 153.34/153.77 3385 (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]. 153.34/153.77 3386 (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]. 153.34/153.77 3387 (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]. 153.34/153.77 3388 (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]. 153.34/153.77 3389 (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]. 153.34/153.77 3390 (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]. 153.34/153.77 3391 (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]. 153.34/153.77 3392 (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]. 153.34/153.77 3393 (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]. 153.34/153.77 3394 (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]. 153.34/153.77 3395 (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]. 153.34/153.77 3396 (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]. 153.34/153.77 3397 (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]. 153.34/153.77 3398 (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]. 153.42/153.78 3399 (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]. 153.42/153.78 3400 (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]. 153.42/153.78 3401 $T # label(t17_group_3) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3402 (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]. 153.42/153.78 3403 (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]. 153.42/153.78 3404 (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]. 153.42/153.78 3405 (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]. 153.42/153.78 3406 (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]. 153.42/153.78 3407 (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]. 153.42/153.78 3408 (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]. 153.42/153.78 3409 (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]. 153.42/153.78 3410 (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]. 153.42/153.78 3411 (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]. 153.42/153.78 3412 (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]. 153.42/153.78 3413 (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]. 153.42/153.78 3414 $T # label(t64_group_3) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3415 (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]. 153.42/153.78 3416 $T # label(t159_group_3) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3417 (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]. 153.42/153.78 3418 (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]. 153.42/153.78 3419 (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]. 153.42/153.78 3420 (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]. 153.42/153.78 3421 (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]. 153.42/153.78 3422 (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]. 153.42/153.78 3423 (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]. 153.42/153.78 3424 (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]. 153.42/153.78 3425 (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]. 153.42/153.78 3426 (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]. 153.42/153.78 3427 (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]. 153.42/153.78 3428 (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]. 153.42/153.78 3429 (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]. 153.42/153.78 3430 (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]. 153.42/153.78 3431 (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]. 153.42/153.78 3432 $T # label(t64_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3433 (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]. 153.42/153.78 3434 (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]. 153.42/153.78 3435 (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]. 153.42/153.78 3436 (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]. 153.42/153.78 3437 (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]. 153.42/153.78 3438 (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]. 153.42/153.78 3439 (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]. 153.42/153.78 3440 (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]. 153.42/153.78 3441 (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]. 153.42/153.78 3442 (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]. 153.42/153.78 3443 (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]. 153.42/153.78 3444 $T # label(t57_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3445 (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]. 153.42/153.78 3446 (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]. 153.42/153.78 3447 (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]. 153.42/153.78 3448 (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]. 153.42/153.78 3449 (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]. 153.42/153.78 3450 $T # label(t10_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3451 (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]. 153.42/153.78 3452 (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]. 153.42/153.78 3453 (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]. 153.42/153.78 3454 (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]. 153.42/153.78 3455 (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]. 153.42/153.78 3456 $T # label(t87_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3457 (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]. 153.42/153.78 3458 (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]. 153.42/153.78 3459 (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]. 153.42/153.78 3460 (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]. 153.42/153.78 3461 $T # label(t51_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3462 (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]. 153.42/153.78 3463 (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]. 153.42/153.78 3464 (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]. 153.42/153.78 3465 $T # label(t67_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.78 3466 (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]. 153.42/153.78 3467 (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]. 153.42/153.78 3468 (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]. 153.42/153.78 3469 (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]. 153.42/153.78 3470 (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]. 153.42/153.78 3471 (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]. 153.42/153.78 3472 (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]. 153.42/153.78 3473 (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]. 153.42/153.78 3474 (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]. 153.42/153.78 3475 (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]. 153.42/153.79 3476 (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]. 153.42/153.79 3477 (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]. 153.42/153.79 3478 (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]. 153.42/153.79 3479 (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]. 153.42/153.79 3480 (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]. 153.42/153.79 3481 (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]. 153.42/153.79 3482 (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]. 153.42/153.79 3483 (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]. 153.42/153.79 3484 (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]. 153.42/153.79 3485 (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]. 153.42/153.79 3486 (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]. 153.42/153.79 3487 (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]. 153.42/153.79 3488 $T # label(t42_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3489 $T # label(t88_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3490 (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]. 153.42/153.79 3491 (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]. 153.42/153.79 3492 (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]. 153.42/153.79 3493 $T # label(t9_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3494 (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]. 153.42/153.79 3495 (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]. 153.42/153.79 3496 $T # label(t11_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3497 (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]. 153.42/153.79 3498 (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]. 153.42/153.79 3499 (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]. 153.42/153.79 3500 (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]. 153.42/153.79 3501 $T # label(t81_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3502 $T # label(t71_group_5) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3503 (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]. 153.42/153.79 3504 (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]. 153.42/153.79 3505 (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]. 153.42/153.79 3506 (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]. 153.42/153.79 3507 (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]. 153.42/153.79 3508 (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]. 153.42/153.79 3509 (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]. 153.42/153.79 3510 (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]. 153.42/153.79 3511 (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]. 153.42/153.79 3512 (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]. 153.42/153.79 3513 (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]. 153.42/153.79 3514 (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]. 153.42/153.79 3515 (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]. 153.42/153.79 3516 (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]. 153.42/153.79 3517 (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]. 153.42/153.79 3518 (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]. 153.42/153.79 3519 (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]. 153.42/153.79 3520 (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]. 153.42/153.79 3521 (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]. 153.42/153.79 3522 (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]. 153.42/153.79 3523 (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]. 153.42/153.79 3524 (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]. 153.42/153.79 3525 (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]. 153.42/153.79 3526 (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]. 153.42/153.79 3527 (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]. 153.42/153.79 3528 (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]. 153.42/153.79 3529 (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]. 153.42/153.79 3530 (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]. 153.42/153.79 3531 (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]. 153.42/153.79 3532 (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]. 153.42/153.79 3533 (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]. 153.42/153.79 3534 (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]. 153.42/153.79 3535 (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]. 153.42/153.79 3536 (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]. 153.42/153.79 3537 (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]. 153.42/153.79 3538 (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]. 153.42/153.79 3539 (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]. 153.42/153.79 3540 (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]. 153.42/153.79 3541 (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]. 153.42/153.79 3542 (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]. 153.42/153.79 3543 $T # label(t88_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3544 $T # label(t37_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3545 (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]. 153.42/153.79 3546 (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]. 153.42/153.79 3547 (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]. 153.42/153.79 3548 (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]. 153.42/153.79 3549 (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]. 153.42/153.79 3550 (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]. 153.42/153.79 3551 (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]. 153.42/153.79 3552 (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]. 153.42/153.79 3553 $T # label(t76_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.79 3554 (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]. 153.42/153.79 3555 (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]. 153.42/153.79 3556 (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]. 153.42/153.79 3557 (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]. 153.42/153.79 3558 (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]. 153.42/153.79 3559 (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]. 153.42/153.80 3560 (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]. 153.42/153.80 3561 (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]. 153.42/153.80 3562 (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]. 153.42/153.80 3563 (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]. 153.42/153.80 3564 (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]. 153.42/153.80 3565 (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]. 153.42/153.80 3566 $T # label(t39_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.80 3567 (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]. 153.42/153.80 3568 (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]. 153.42/153.80 3569 (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]. 153.42/153.80 3570 (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]. 153.42/153.80 3571 (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]. 153.42/153.80 3572 (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]. 153.42/153.80 3573 (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]. 153.42/153.80 3574 (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]. 153.42/153.80 3575 (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]. 153.42/153.80 3576 (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]. 153.42/153.80 3577 (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]. 153.42/153.80 3578 (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]. 153.42/153.80 3579 (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]. 153.42/153.80 3580 (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]. 153.42/153.80 3581 (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]. 153.42/153.80 3582 (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]. 153.42/153.80 3583 $T # label(t5_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.80 3584 (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]. 153.42/153.80 3585 (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]. 153.42/153.80 3586 (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]. 153.42/153.80 3587 (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]. 153.42/153.80 3588 (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]. 153.42/153.80 3589 (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]. 153.42/153.80 3590 (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]. 153.42/153.80 3591 (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]. 153.42/153.80 3592 (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]. 153.42/153.80 3593 (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]. 153.42/153.80 3594 (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]. 153.42/153.80 3595 $T # label(t38_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.80 3596 (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]. 153.42/153.80 3597 (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]. 153.42/153.80 3598 (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]. 153.42/153.80 3599 (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]. 153.42/153.80 3600 (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]. 153.42/153.80 3601 (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]. 153.42/153.80 3602 (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]. 153.42/153.80 3603 (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]. 153.42/153.80 3604 (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]. 153.42/153.80 3605 (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]. 153.42/153.80 3606 (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]. 153.42/153.80 3607 (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]. 153.42/153.80 3608 (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]. 153.42/153.80 3609 (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]. 153.42/153.80 3610 (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]. 153.42/153.80 3611 (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]. 153.42/153.80 3612 (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]. 153.42/153.80 3613 (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]. 153.42/153.80 3614 (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]. 153.42/153.80 3615 (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]. 153.42/153.80 3616 $T # label(t19_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.80 3617 (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]. 153.42/153.80 3618 (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]. 153.42/153.80 3619 (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]. 153.42/153.80 3620 (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]. 153.42/153.80 3621 (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]. 153.42/153.80 3622 (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]. 153.42/153.80 3623 (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]. 153.42/153.80 3624 (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]. 153.42/153.80 3625 (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]. 153.42/153.80 3626 $T # label(t21_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.80 3627 (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]. 153.42/153.80 3628 (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]. 153.42/153.80 3629 (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]. 153.42/153.81 3630 (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]. 153.42/153.81 3631 (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]. 153.42/153.81 3632 (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]. 153.42/153.81 3633 (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]. 153.42/153.81 3634 (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]. 153.42/153.81 3635 (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]. 153.42/153.81 3636 (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]. 153.42/153.81 3637 (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]. 153.42/153.81 3638 (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]. 153.42/153.81 3639 (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]. 153.42/153.81 3640 (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]. 153.42/153.81 3641 (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]. 153.42/153.81 3642 (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]. 153.42/153.81 3643 (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]. 153.42/153.81 3644 (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]. 153.42/153.81 3645 (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]. 153.42/153.81 3646 (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]. 153.42/153.81 3647 (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]. 153.42/153.81 3648 (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]. 153.42/153.81 3649 (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]. 153.42/153.81 3650 (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]. 153.42/153.81 3651 $T # label(t20_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.81 3652 (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]. 153.42/153.81 3653 (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]. 153.42/153.81 3654 (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]. 153.42/153.81 3655 (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]. 153.42/153.81 3656 (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]. 153.42/153.81 3657 (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]. 153.42/153.81 3658 (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]. 153.42/153.81 3659 (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]. 153.42/153.81 3660 (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]. 153.42/153.81 3661 $T # label(dt_k4_group_6) # label(axiom) # label(non_clause). [assumption]. 153.42/153.81 3662 (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]. 153.42/153.81 3663 (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]. 153.42/153.81 3664 (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]. 153.42/153.81 3665 (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]. 153.42/153.81 3666 (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]. 153.42/153.81 3667 (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]. 153.42/153.81 3668 (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]. 153.42/153.81 3669 (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]. 153.42/153.81 3670 (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]. 153.42/153.81 3671 (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]. 153.42/153.81 3672 (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]. 153.42/153.81 3673 (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]. 153.42/153.81 3674 (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]. 153.42/153.81 3675 (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]. 153.42/153.81 3676 (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]. 153.42/153.81 3677 (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]. 153.42/153.81 3678 (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]. 153.42/153.81 3679 (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]. 153.42/153.81 3680 (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]. 153.42/153.81 3681 (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]. 153.42/153.81 3682 (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]. 153.42/153.81 3683 (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]. 153.42/153.81 3684 (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]. 153.42/153.81 3685 (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]. 153.42/153.81 3686 (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]. 153.42/153.81 3687 (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]. 153.42/153.81 3688 (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]. 153.42/153.81 3689 (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]. 153.42/153.81 3690 (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]. 153.42/153.81 3691 $T # label(t1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 153.42/153.81 3692 $T # label(t4_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 153.42/153.81 3693 (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]. 153.42/153.81 3694 (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]. 153.42/153.81 3695 (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]. 153.42/153.82 3696 (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]. 153.42/153.82 3697 (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]. 153.42/153.82 3698 (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]. 153.42/153.82 3699 (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]. 153.42/153.82 3700 (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]. 153.42/153.82 3701 $T # label(t3_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 153.42/153.82 3702 (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]. 153.42/153.82 3703 $T # label(t2_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 153.42/153.82 3704 (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]. 153.42/153.82 3705 $T # label(t7_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 153.42/153.82 3706 (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]. 153.42/153.82 3707 (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]. 153.42/153.82 3708 (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]. 153.42/153.82 3709 (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]. 153.42/153.82 3710 (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]. 153.42/153.82 3711 (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]. 153.42/153.82 3712 (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]. 153.42/153.82 3713 $T # label(t5_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 153.42/153.82 3714 (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]. 153.42/153.82 3715 (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]. 153.42/153.82 3716 (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]. 153.42/153.82 3717 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_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]. 153.42/153.82 3718 (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_group_2(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))))))) -> v1_group_3(B,A)))))) # label(l1_autgroup) # label(axiom) # label(non_clause). [assumption]. 153.42/153.82 3719 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption]. 153.42/153.82 3720 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_group_2(k5_autgroup(A),k3_autgroup(A)) & v1_group_3(k5_autgroup(A),k3_autgroup(A)) & v1_group_1(k5_autgroup(A)))) # label(dt_k5_autgroup) # label(axiom) # label(non_clause). [assumption]. 166.34/166.73 3721 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(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)) & v1_funct_1(k2_autgroup(A)))) # label(dt_k2_autgroup) # label(axiom) # label(non_clause). [assumption]. 166.34/166.73 3722 (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_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(l2_autgroup) # label(axiom) # label(non_clause). [assumption]. 166.34/166.73 3723 (all A all B (v3_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(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]. 166.34/166.73 3724 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> l1_group_1(k3_autgroup(A)) & v4_group_1(k3_autgroup(A)) & v3_group_1(k3_autgroup(A)) & v1_group_1(k3_autgroup(A)) & -v3_struct_0(k3_autgroup(A)))) # label(dt_k3_autgroup) # label(axiom) # label(non_clause). [assumption]. 166.34/166.73 3725 -(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_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(negated_conjecture) # label(non_clause). [assumption]. 166.34/166.73 166.34/166.73 ============================== end of process non-clausal formulas === 166.34/166.73 166.34/166.73 ============================== PROCESS INITIAL CLAUSES =============== 166.34/166.73 166.34/166.73 ============================== PREDICATE ELIMINATION ================= 166.34/166.73 3726 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 3727 -r2_tarski(A,B) | -r2_hidden(C,B) | r2_hidden(f7(A,B,C),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 3728 -r2_tarski(A,B) | -r2_hidden(C,B) | r2_hidden(k4_tarski(f7(A,B,C),C),f6(A,B)) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 3729 -r2_tarski(A,B) | -r2_hidden(k4_tarski(C,D),f6(A,B)) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | E != C | F = D # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 3730 -r2_tarski(A,B) | -r2_hidden(k4_tarski(C,D),f6(A,B)) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | E = C | F != D # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 3731 -r2_tarski(A,B) | -r2_hidden(C,A) | r2_hidden(f8(A,B,C),B) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 3732 -r2_tarski(A,B) | -r2_hidden(C,A) | r2_hidden(k4_tarski(C,f8(A,B,C)),f6(A,B)) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.34/166.73 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(f7(A,B,D),A). [resolve(3726,a,3727,a)]. 166.34/166.73 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(k4_tarski(f7(A,B,D),D),f6(A,B)). [resolve(3726,a,3728,a)]. 166.34/166.73 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F != D | V6 = E. [resolve(3726,a,3729,a)]. 166.34/166.73 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F = D | V6 != E. [resolve(3726,a,3730,a)]. 166.34/166.73 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(f8(A,B,D),B). [resolve(3726,a,3731,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(k4_tarski(D,f8(A,B,D)),f6(A,B)). [resolve(3726,a,3732,a)]. 166.47/166.91 3733 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(f7(A,B,E),A). [resolve(3733,a,3727,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(k4_tarski(f7(A,B,E),E),f6(A,B)). [resolve(3733,a,3728,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 != E | V7 = F. [resolve(3733,a,3729,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 = E | V7 != F. [resolve(3733,a,3730,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(f8(A,B,E),B). [resolve(3733,a,3731,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f10(A,B,C),f11(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(k4_tarski(E,f8(A,B,E)),f6(A,B)). [resolve(3733,a,3732,a)]. 166.47/166.91 3734 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(f7(A,B,D),A). [resolve(3734,a,3727,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(k4_tarski(f7(A,B,D),D),f6(A,B)). [resolve(3734,a,3728,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F != D | V6 = E. [resolve(3734,a,3729,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F = D | V6 != E. [resolve(3734,a,3730,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(f8(A,B,D),B). [resolve(3734,a,3731,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(k4_tarski(D,f8(A,B,D)),f6(A,B)). [resolve(3734,a,3732,a)]. 166.47/166.91 3735 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(f7(A,B,E),A). [resolve(3735,a,3727,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(k4_tarski(f7(A,B,E),E),f6(A,B)). [resolve(3735,a,3728,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 != E | V7 = F. [resolve(3735,a,3729,a)]. 166.47/166.91 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 = E | V7 != F. [resolve(3735,a,3730,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(f8(A,B,E),B). [resolve(3735,a,3731,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | r2_hidden(k4_tarski(f12(A,B,C),f13(A,B,C)),C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(k4_tarski(E,f8(A,B,E)),f6(A,B)). [resolve(3735,a,3732,a)]. 166.64/167.08 3736 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(f7(A,B,D),A). [resolve(3736,a,3727,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(k4_tarski(f7(A,B,D),D),f6(A,B)). [resolve(3736,a,3728,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F != D | V6 = E. [resolve(3736,a,3729,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F = D | V6 != E. [resolve(3736,a,3730,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(f8(A,B,D),B). [resolve(3736,a,3731,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(k4_tarski(D,f8(A,B,D)),f6(A,B)). [resolve(3736,a,3732,a)]. 166.64/167.08 3737 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(f7(A,B,E),A). [resolve(3737,a,3727,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(k4_tarski(f7(A,B,E),E),f6(A,B)). [resolve(3737,a,3728,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 != E | V7 = F. [resolve(3737,a,3729,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 = E | V7 != F. [resolve(3737,a,3730,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(f8(A,B,E),B). [resolve(3737,a,3731,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) = f10(A,B,C) | f13(A,B,C) = f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(k4_tarski(E,f8(A,B,E)),f6(A,B)). [resolve(3737,a,3732,a)]. 166.64/167.08 3738 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(f7(A,B,D),A). [resolve(3738,a,3727,a)]. 166.64/167.08 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,B) | r2_hidden(k4_tarski(f7(A,B,D),D),f6(A,B)). [resolve(3738,a,3728,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F != D | V6 = E. [resolve(3738,a,3729,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(k4_tarski(D,E),f6(A,B)) | -r2_hidden(k4_tarski(F,V6),f6(A,B)) | F = D | V6 != E. [resolve(3738,a,3730,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(f8(A,B,D),B). [resolve(3738,a,3731,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | r2_hidden(f14(A,B,C),A) | -r2_hidden(D,A) | r2_hidden(k4_tarski(D,f8(A,B,D)),f6(A,B)). [resolve(3738,a,3732,a)]. 166.83/167.26 3739 r2_tarski(A,B) | r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(f7(A,B,E),A). [resolve(3739,a,3727,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,B) | r2_hidden(k4_tarski(f7(A,B,E),E),f6(A,B)). [resolve(3739,a,3728,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 != E | V7 = F. [resolve(3739,a,3729,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(k4_tarski(E,F),f6(A,B)) | -r2_hidden(k4_tarski(V6,V7),f6(A,B)) | V6 = E | V7 != F. [resolve(3739,a,3730,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(f8(A,B,E),B). [resolve(3739,a,3731,a)]. 166.83/167.26 Derived: r2_hidden(f9(A,B,C),B) | f12(A,B,C) != f10(A,B,C) | f13(A,B,C) != f11(A,B,C) | -r2_hidden(D,B) | -r2_hidden(k4_tarski(f14(A,B,C),D),C) | -r2_hidden(E,A) | r2_hidden(k4_tarski(E,f8(A,B,E)),f6(A,B)). [resolve(3739,a,3732,a)]. 166.83/167.26 3740 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | r2_hidden(k4_tarski(f10(A,B,D),f11(A,B,D)),D) | r2_hidden(f14(A,B,D),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 166.83/167.26 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(f7(B,C,E),B). [resolve(3740,a,3727,a)]. 166.83/167.26 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(k4_tarski(f7(B,C,E),E),f6(B,C)). [resolve(3740,a,3728,a)]. 166.83/167.26 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 != E | V7 = F. [resolve(3740,a,3729,a)]. 166.83/167.26 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 = E | V7 != F. [resolve(3740,a,3730,a)]. 166.83/167.26 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(f8(B,C,E),C). [resolve(3740,a,3731,a)]. 166.83/167.26 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(k4_tarski(E,f8(B,C,E)),f6(B,C)). [resolve(3740,a,3732,a)]. 167.03/167.42 3741 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | r2_hidden(k4_tarski(f10(A,B,D),f11(A,B,D)),D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f14(A,B,D),E),D) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(f7(B,C,F),B). [resolve(3741,a,3727,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(k4_tarski(f7(B,C,F),F),f6(B,C)). [resolve(3741,a,3728,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 != F | V8 = V6. [resolve(3741,a,3729,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 = F | V8 != V6. [resolve(3741,a,3730,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(f8(B,C,F),C). [resolve(3741,a,3731,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f10(B,C,D),f11(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(k4_tarski(F,f8(B,C,F)),f6(B,C)). [resolve(3741,a,3732,a)]. 167.03/167.42 3742 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | r2_hidden(k4_tarski(f12(A,B,D),f13(A,B,D)),D) | r2_hidden(f14(A,B,D),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(f7(B,C,E),B). [resolve(3742,a,3727,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(k4_tarski(f7(B,C,E),E),f6(B,C)). [resolve(3742,a,3728,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 != E | V7 = F. [resolve(3742,a,3729,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 = E | V7 != F. [resolve(3742,a,3730,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(f8(B,C,E),C). [resolve(3742,a,3731,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(k4_tarski(E,f8(B,C,E)),f6(B,C)). [resolve(3742,a,3732,a)]. 167.03/167.42 3743 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | r2_hidden(k4_tarski(f12(A,B,D),f13(A,B,D)),D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f14(A,B,D),E),D) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(f7(B,C,F),B). [resolve(3743,a,3727,a)]. 167.03/167.42 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(k4_tarski(f7(B,C,F),F),f6(B,C)). [resolve(3743,a,3728,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 != F | V8 = V6. [resolve(3743,a,3729,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 = F | V8 != V6. [resolve(3743,a,3730,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(f8(B,C,F),C). [resolve(3743,a,3731,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | r2_hidden(k4_tarski(f12(B,C,D),f13(B,C,D)),D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(k4_tarski(F,f8(B,C,F)),f6(B,C)). [resolve(3743,a,3732,a)]. 167.13/167.58 3744 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | f12(A,B,D) = f10(A,B,D) | f13(A,B,D) = f11(A,B,D) | r2_hidden(f14(A,B,D),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(f7(B,C,E),B). [resolve(3744,a,3727,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(k4_tarski(f7(B,C,E),E),f6(B,C)). [resolve(3744,a,3728,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 != E | V7 = F. [resolve(3744,a,3729,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 = E | V7 != F. [resolve(3744,a,3730,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(f8(B,C,E),C). [resolve(3744,a,3731,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(k4_tarski(E,f8(B,C,E)),f6(B,C)). [resolve(3744,a,3732,a)]. 167.13/167.58 3745 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | f12(A,B,D) = f10(A,B,D) | f13(A,B,D) = f11(A,B,D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f14(A,B,D),E),D) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(f7(B,C,F),B). [resolve(3745,a,3727,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(k4_tarski(f7(B,C,F),F),f6(B,C)). [resolve(3745,a,3728,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 != F | V8 = V6. [resolve(3745,a,3729,a)]. 167.13/167.58 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 = F | V8 != V6. [resolve(3745,a,3730,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(f8(B,C,F),C). [resolve(3745,a,3731,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) = f10(B,C,D) | f13(B,C,D) = f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(k4_tarski(F,f8(B,C,F)),f6(B,C)). [resolve(3745,a,3732,a)]. 167.33/167.77 3746 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | f12(A,B,D) != f10(A,B,D) | f13(A,B,D) != f11(A,B,D) | r2_hidden(f14(A,B,D),A) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(f7(B,C,E),B). [resolve(3746,a,3727,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,C) | r2_hidden(k4_tarski(f7(B,C,E),E),f6(B,C)). [resolve(3746,a,3728,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 != E | V7 = F. [resolve(3746,a,3729,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(k4_tarski(E,F),f6(B,C)) | -r2_hidden(k4_tarski(V6,V7),f6(B,C)) | V6 = E | V7 != F. [resolve(3746,a,3730,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(f8(B,C,E),C). [resolve(3746,a,3731,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | r2_hidden(f14(B,C,D),B) | -r2_hidden(E,B) | r2_hidden(k4_tarski(E,f8(B,C,E)),f6(B,C)). [resolve(3746,a,3732,a)]. 167.33/167.77 3747 r2_tarski(A,B) | -r2_hidden(C,A) | -r2_hidden(k4_tarski(C,f9(A,B,D)),D) | f12(A,B,D) != f10(A,B,D) | f13(A,B,D) != f11(A,B,D) | -r2_hidden(E,B) | -r2_hidden(k4_tarski(f14(A,B,D),E),D) # label(d6_tarski) # label(axiom). [clausify(15)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(f7(B,C,F),B). [resolve(3747,a,3727,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,C) | r2_hidden(k4_tarski(f7(B,C,F),F),f6(B,C)). [resolve(3747,a,3728,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 != F | V8 = V6. [resolve(3747,a,3729,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(k4_tarski(F,V6),f6(B,C)) | -r2_hidden(k4_tarski(V7,V8),f6(B,C)) | V7 = F | V8 != V6. [resolve(3747,a,3730,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tarski(f14(B,C,D),E),D) | -r2_hidden(F,B) | r2_hidden(f8(B,C,F),C). [resolve(3747,a,3731,a)]. 167.33/167.77 Derived: -r2_hidden(A,B) | -r2_hidden(k4_tarski(A,f9(B,C,D)),D) | f12(B,C,D) != f10(B,C,D) | f13(B,C,D) != f11(B,C,D) | -r2_hidden(E,C) | -r2_hidden(k4_tAlarm clock 179.63/180.01 Prover9 interrupted 179.63/180.02 EOF